Jeremíc Et Al., Real-E

Home , Seismic metamaterial

Jeremićet al., Real-ESSI rprisaesonbelow. shown are Properties eeice l nvriyo aiona Davis California, of University al. Jeremić et 3104 of 2801 page: EQUATIONS INTEGRAL 706.1. ground layered / fault normal 4: Case 706.1.2.4 Notes ESSI • • 706.32. and 706.31 Figure shown as is Model modeled. is ground layered within fault Normal iue763:V rfie qaepit r kmdl leln stedln ae nh model hk on based line trend is line blue model; hk are points square profile, Vs 706.32: Figure al properties Fault 706.1 Table and 706.32 Figure see properties: Ground iue763:Gon n al oe sdfraayi,rslsaecpue ncircles on captured are results analysis, for used model fault and Ground 706.31: Figure eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI oprdt ro xmls oeraitcwvsaeobserved. are waves realistic in more shown examples, 706.1). prior As (Table to layer compared layering. ground define ground to for divided used and is interpolated California is hereafter) southern model standard model hk 1D hk 706.32, 2002). The Figure (1977), Richards, stations). Kanamori and 9 and (Aki (total used (Hadley examples is model prior function as time similar source are triangular points and Recording assumed is source fault coupled eeice l nvriyo aiona Davis California, of University al. Jeremić et 3104 of 2802 page: EQUATIONS INTEGRAL 706.1. Notes ESSI • ic aei rpgtdtruhtelyrdground, layered the through propagated is wave Since 706.35. – 706.33 Figure on shown are Results Double surface. at (station) point recording the from away km 30 km, 30 of depth at located is Fault aeproperties Wave – – – – – – – t=01s(a vial rq z yus freq.) Nyquist Hz, 5 = freq. available (Max s 0.1 = dt raglrsuc iefunction time source Triangular source coupled - Double 90 = Rake 45 = Dip 0 = Strike 5.0 = magnitude Moment ◦ ◦ ◦ eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et 3104 of 2803 page: EQUATIONS INTEGRAL 706.1. Notes ESSI Table 706.1: Ground properties for the example Depth Thickness VS VP/VS QB VP Poisson’s R Density G E (km) (km) (km/s) (km/s) (g/cm3) (GPa) (GPa) 0.01 0.01 0.50 1.730 500 0.87 0.25 1.05 0.27 0.67 0.02 0.01 0.80 1.730 500 1.38 0.25 1.21 0.77 1.93 0.03 0.01 0.97 1.730 500 1.68 0.25 1.31 1.23 3.07 0.04 0.01 1.09 1.730 500 1.89 0.25 1.37 1.64 4.09 0.05 0.01 1.19 1.730 500 2.05 0.25 1.43 2.01 5.01 0.06 0.01 1.26 1.730 500 2.19 0.25 1.47 2.34 5.86 0.07 0.01 1.33 1.730 500 2.30 0.25 1.51 2.66 6.64 0.08 0.01 1.38 1.730 500 2.40 0.25 1.54 2.95 7.36 0.09 0.01 1.43 1.730 500 2.48 0.25 1.56 3.22 8.04 0.1 0.01 1.48 1.730 500 2.56 0.25 1.59 3.48 8.69 0.2 0.10 1.77 1.730 500 3.07 0.25 1.75 5.50 13.75 0.3 0.10 1.94 1.730 500 3.36 0.25 1.85 6.98 17.44 0.4 0.10 2.07 1.730 500 3.57 0.25 1.91 8.17 20.41 0.5 0.10 2.16 1.730 500 3.74 0.25 1.97 9.18 22.93 eso:2.Ags,22,15:04 2021, August, 26. version: 0.6 0.10 2.24 1.730 500 3.87 0.25 2.01 10.06 25.13 0.7 0.10 2.30 1.730 500 3.98 0.25 2.04 10.85 27.10 0.8 0.10 2.36 1.730 500 4.08 0.25 2.08 11.56 28.88 0.9 0.10 2.41 1.730 500 4.17 0.25 2.10 12.21 30.51 1 0.10 2.45 1.730 500 4.25 0.25 2.13 12.82 32.02 1.5 0.50 2.63 1.730 500 4.54 0.25 2.22 15.33 38.30 2.5 1.00 2.84 1.730 500 4.92 0.25 2.34 18.92 47.28 3.5 1.00 2.98 1.730 500 5.16 0.25 2.42 21.57 53.89 4.5 1.00 3.09 1.730 500 5.35 0.25 2.48 23.70 59.21 5.5 1.00 3.18 1.730 600 5.50 0.25 2.53 25.59 63.93 16 10.50 3.64 1.731 600 6.30 0.25 2.79 36.92 92.26 32 16.00 3.87 1.731 600 6.70 0.25 2.91 43.64 109.05 122 90.00 4.50 1.733 900 7.80 0.25 3.27 66.13 165.37 Jeremićet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et 3104 of 2804 page: EQUATIONS INTEGRAL 706.1. Notes ESSI

20 20 20 15 EW comp. (0.01 km, 0.0 km) 15 NS comp. (0.01 km, 0.0 km) 15 10 EW comp. (0.01 km, 7.5 km) 10 NS comp. (0.01 km, 7.5 km) 10 5 EW comp. (0.01 km, 15.0 km) 5 NS comp. (0.01 km, 15.0 km) 5 0 0 0 −5 −5 −5 UD comp. (0.01 km, 0.0 km) −10 −10 −10 UD comp. (0.01 km, 7.5 km) Acc. (cm/s/s) Acc. Acc. (cm/s/s) Acc. −15 (cm/s/s) Acc. −15 −15 UD comp. (0.01 km, 15.0 km) −20 −20 −20 0 5 10 15 20 25 30 0 5 10 15 20 25 30 0 5 10 15 20 25 30 Time (s) Time (s) Time (s) 20 20 20 15 EW comp. (15 km, 0.0 km) 15 NS comp. (15 km, 0.0 km) 15 UD comp. (15 km, 0.0 km) 10 EW comp. (15 km, 7.5 km) 10 NS comp. (15 km, 7.5 km) 10 UD comp. (15 km, 7.5 km) 5 EW comp. (15 km, 15.0 km) 5 NS comp. (15 km, 15.0 km) 5 UD comp. (15 km, 15.0 km) 0 0 0 −5 −5 −5 −10 −10 −10 Acc. (cm/s/s) Acc. −15 (cm/s/s) Acc. −15 (cm/s/s) Acc. −15 −20 −20 −20 0 5 10 15 20 25 30 0 5 10 15 20 25 30 0 5 10 15 20 25 30 Time (s) Time (s) Time (s) 20 20 20 15 EW comp. (30 km, 0.0 km) 15 NS comp. (30 km, 0.0 km) 15 UD comp. (30 km, 0.0 km) 10 EW comp. (30 km, 7.5 km) 10 NS comp. (30 km, 7.5 km) 10 UD comp. (30 km, 7.5 km) 5 EW comp. (30 km, 15.0 km) 5 NS comp. (30 km, 15.0 km) 5 UD comp. (30 km, 15.0 km) 0 0 0 −5 −5 −5 −10 −10 −10 Acc. (cm/s/s) Acc. Acc. (cm/s/s) Acc. (cm/s/s) Acc.

eso:2.Ags,22,15:04 2021, August, 26. version: −15 −15 −15 −20 −20 −20 0 5 10 15 20 25 30 0 5 10 15 20 25 30 0 5 10 15 20 25 30 Time (s) Time (s) Time (s)

Figure 706.33: Calculated time history acceleration, station azimuth = 0◦ Jeremi´cet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremi´c et 3104 of 2805 page: EQUATIONS INTEGRAL 706.1. Notes ESSI

EW comp. (0.01 km, 0.0 km) NS comp. (0.01 km, 0.0 km) UD comp. (0.01 km, 0.0 km) 0.5 EW comp. (0.01 km, 7.5 km) 0.5 NS comp. (0.01 km, 7.5 km) 0.5 UD comp. (0.01 km, 7.5 km) EW comp. (0.01 km, 15.0 km) NS comp. (0.01 km, 15.0 km) UD comp. (0.01 km, 15.0 km) 0.0 0.0 0.0

Vel. (cm/s) Vel. −0.5 (cm/s) Vel. −0.5 (cm/s) Vel. −0.5

0 5 10 15 20 25 30 0 5 10 15 20 25 30 0 5 10 15 20 25 30 Time (s) Time (s) Time (s)

EW comp. (15 km, 0.0 km) NS comp. (15 km, 0.0 km) UD comp. (15 km, 0.0 km) 0.5 EW comp. (15 km, 7.5 km) 0.5 NS comp. (15 km, 7.5 km) 0.5 UD comp. (15 km, 7.5 km) EW comp. (15 km, 15.0 km) NS comp. (15 km, 15.0 km) UD comp. (15 km, 15.0 km) 0.0 0.0 0.0 Vel. (cm/s) Vel. Vel. (cm/s) Vel. −0.5 (cm/s) Vel. −0.5 −0.5

0 5 10 15 20 25 30 0 5 10 15 20 25 30 0 5 10 15 20 25 30 Time (s) Time (s) Time (s)

EW comp. (30 km, 0.0 km) NS comp. (30 km, 0.0 km) UD comp. (30 km, 0.0 km) 0.5 EW comp. (30 km, 7.5 km) 0.5 NS comp. (30 km, 7.5 km) 0.5 UD comp. (30 km, 7.5 km) EW comp. (30 km, 15.0 km) NS comp. (30 km, 15.0 km) UD comp. (30 km, 15.0 km) 0.0 0.0 0.0 Vel. (cm/s) Vel. Vel. (cm/s) Vel. −0.5 (cm/s) Vel. −0.5 −0.5 eso:2.Ags,22,15:04 2021, August, 26. version: 0 5 10 15 20 25 30 0 5 10 15 20 25 30 0 5 10 15 20 25 30 Time (s) Time (s) Time (s)

Figure 706.34: Calculated time history velocity, station azimuth = 0◦ Jeremi´cet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremi´c et 3104 of 2806 page: EQUATIONS INTEGRAL 706.1. Notes ESSI

0.4 EW comp. (0.01 km, 0.0 km) 0.4 NS comp. (0.01 km, 0.0 km) 0.4 UD comp. (0.01 km, 0.0 km) EW comp. (0.01 km, 7.5 km) NS comp. (0.01 km, 7.5 km) UD comp. (0.01 km, 7.5 km) 0.2 EW comp. (0.01 km, 15.0 km) 0.2 NS comp. (0.01 km, 15.0 km) 0.2 UD comp. (0.01 km, 15.0 km) 0.0 0.0 0.0 −0.2 −0.2 −0.2 Disp. (cm) Disp. (cm) Disp. (cm) Disp. −0.4 −0.4 −0.4 0 5 10 15 20 25 30 0 5 10 15 20 25 30 0 5 10 15 20 25 30 Time (s) Time (s) Time (s)

0.4 EW comp. (15 km, 0.0 km) 0.4 NS comp. (15 km, 0.0 km) 0.4 UD comp. (15 km, 0.0 km) EW comp. (15 km, 7.5 km) NS comp. (15 km, 7.5 km) UD comp. (15 km, 7.5 km) 0.2 EW comp. (15 km, 15.0 km) 0.2 NS comp. (15 km, 15.0 km) 0.2 UD comp. (15 km, 15.0 km) 0.0 0.0 0.0 −0.2 −0.2 −0.2 Disp. (cm) Disp. (cm) Disp. (cm) Disp. −0.4 −0.4 −0.4 0 5 10 15 20 25 30 0 5 10 15 20 25 30 0 5 10 15 20 25 30 Time (s) Time (s) Time (s)

0.4 EW comp. (30 km, 0.0 km) 0.4 NS comp. (30 km, 0.0 km) 0.4 UD comp. (30 km, 0.0 km) EW comp. (30 km, 7.5 km) NS comp. (30 km, 7.5 km) UD comp. (30 km, 7.5 km) 0.2 EW comp. (30 km, 15.0 km) 0.2 NS comp. (30 km, 15.0 km) 0.2 UD comp. (30 km, 15.0 km) 0.0 0.0 0.0 −0.2 −0.2 −0.2 Disp. (cm) Disp. (cm) Disp. (cm) Disp.

eso:2.Ags,22,15:04 2021, August, 26. version: −0.4 −0.4 −0.4 0 5 10 15 20 25 30 0 5 10 15 20 25 30 0 5 10 15 20 25 30 Time (s) Time (s) Time (s)

Figure 706.35: Calculated time history displacement, station azimuth = 0◦ Jeremi´cet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremi´c et 3104 of 2807 page: EQUATIONS INTEGRAL 706.1. Notes ESSI

20 20 20 15 EW comp. (0.01 km, 0.0 km) 15 NS comp. (0.01 km, 0.0 km) 15 10 EW comp. (0.01 km, 7.5 km) 10 NS comp. (0.01 km, 7.5 km) 10 5 EW comp. (0.01 km, 15.0 km) 5 NS comp. (0.01 km, 15.0 km) 5 0 0 0 −5 −5 −5 UD comp. (0.01 km, 0.0 km) −10 −10 −10 UD comp. (0.01 km, 7.5 km) Acc. (cm/s/s) Acc. Acc. (cm/s/s) Acc. −15 (cm/s/s) Acc. −15 −15 UD comp. (0.01 km, 15.0 km) −20 −20 −20 0 5 10 15 20 25 30 0 5 10 15 20 25 30 0 5 10 15 20 25 30 Time (s) Time (s) Time (s) 20 20 20 15 15 15 UD comp. (15 km, 0.0 km) 10 10 10 UD comp. (15 km, 7.5 km) 5 5 5 UD comp. (15 km, 15.0 km) 0 0 0 −5 EW comp. (15 km, 0.0 km) −5 NS comp. (15 km, 0.0 km) −5 −10 EW comp. (15 km, 7.5 km) −10 NS comp. (15 km, 7.5 km) −10 Acc. (cm/s/s) Acc. −15 EW comp. (15 km, 15.0 km) (cm/s/s) Acc. −15 NS comp. (15 km, 15.0 km) (cm/s/s) Acc. −15 −20 −20 −20 0 5 10 15 20 25 30 0 5 10 15 20 25 30 0 5 10 15 20 25 30 Time (s) Time (s) Time (s) 20 20 20 15 EW comp. (30 km, 0.0 km) 15 NS comp. (30 km, 0.0 km) 15 UD comp. (30 km, 0.0 km) 10 EW comp. (30 km, 7.5 km) 10 NS comp. (30 km, 7.5 km) 10 UD comp. (30 km, 7.5 km) 5 EW comp. (30 km, 15.0 km) 5 NS comp. (30 km, 15.0 km) 5 UD comp. (30 km, 15.0 km) 0 0 0 −5 −5 −5 −10 −10 −10 Acc. (cm/s/s) Acc. Acc. (cm/s/s) Acc. (cm/s/s) Acc.

eso:2.Ags,22,15:04 2021, August, 26. version: −15 −15 −15 −20 −20 −20 0 5 10 15 20 25 30 0 5 10 15 20 25 30 0 5 10 15 20 25 30 Time (s) Time (s) Time (s)

Figure 706.36: Calculated time history acceleration, station azimuth = 45◦ Jeremi´cet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremi´c et 3104 of 2808 page: EQUATIONS INTEGRAL 706.1. Notes ESSI

1.5 1.5 1.5 EW comp. (0.01 km, 0.0 km) NS comp. (0.01 km, 0.0 km) UD comp. (0.01 km, 0.0 km) 1.0 1.0 1.0 EW comp. (0.01 km, 7.5 km) NS comp. (0.01 km, 7.5 km) UD comp. (0.01 km, 7.5 km) 0.5 EW comp. (0.01 km, 15.0 km) 0.5 NS comp. (0.01 km, 15.0 km) 0.5 UD comp. (0.01 km, 15.0 km) 0.0 0.0 0.0 −0.5 −0.5 −0.5 Vel. (cm/s) Vel. −1.0 (cm/s) Vel. −1.0 (cm/s) Vel. −1.0 −1.5 −1.5 −1.5 0 5 10 15 20 25 30 0 5 10 15 20 25 30 0 5 10 15 20 25 30 Time (s) Time (s) Time (s) 1.5 1.5 1.5 EW comp. (15 km, 0.0 km) NS comp. (15 km, 0.0 km) UD comp. (15 km, 0.0 km) 1.0 1.0 1.0 EW comp. (15 km, 7.5 km) NS comp. (15 km, 7.5 km) UD comp. (15 km, 7.5 km) 0.5 EW comp. (15 km, 15.0 km) 0.5 NS comp. (15 km, 15.0 km) 0.5 UD comp. (15 km, 15.0 km) 0.0 0.0 0.0 −0.5 −0.5 −0.5 Vel. (cm/s) Vel. Vel. (cm/s) Vel. −1.0 (cm/s) Vel. −1.0 −1.0 −1.5 −1.5 −1.5 0 5 10 15 20 25 30 0 5 10 15 20 25 30 0 5 10 15 20 25 30 Time (s) Time (s) Time (s) 1.5 1.5 1.5 EW comp. (30 km, 0.0 km) NS comp. (30 km, 0.0 km) UD comp. (30 km, 0.0 km) 1.0 1.0 1.0 EW comp. (30 km, 7.5 km) NS comp. (30 km, 7.5 km) UD comp. (30 km, 7.5 km) 0.5 EW comp. (30 km, 15.0 km) 0.5 NS comp. (30 km, 15.0 km) 0.5 UD comp. (30 km, 15.0 km) 0.0 0.0 0.0 −0.5 −0.5 −0.5 Vel. (cm/s) Vel. Vel. (cm/s) Vel. −1.0 (cm/s) Vel. −1.0 −1.0 eso:2.Ags,22,15:04 2021, August, 26. version: −1.5 −1.5 −1.5 0 5 10 15 20 25 30 0 5 10 15 20 25 30 0 5 10 15 20 25 30 Time (s) Time (s) Time (s)

Figure 706.37: Calculated time history velocity, station azimuth = 45◦ Jeremi´cet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremi´c et 3104 of 2809 page: EQUATIONS INTEGRAL 706.1. Notes ESSI

eso:2.Ags,22,15:04 2021, August, 26. version: −0.4 −0.4 −0.4 0 5 10 15 20 25 30 0 5 10 15 20 25 30 0 5 10 15 20 25 30 Time (s) Time (s) Time (s)

Figure 706.38: Calculated time history displacement, station azimuth = 45◦ Jeremi´cet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremi´c et 3104 of 2810 page: EQUATIONS INTEGRAL 706.1. Notes ESSI

20 20 20 15 EW comp. (0.01 km, 0.0 km) 15 NS comp. (0.01 km, 0.0 km) 15 10 EW comp. (0.01 km, 7.5 km) 10 NS comp. (0.01 km, 7.5 km) 10 5 EW comp. (0.01 km, 15.0 km) 5 NS comp. (0.01 km, 15.0 km) 5 0 0 0 −5 −5 −5 UD comp. (0.01 km, 0.0 km) −10 −10 −10 UD comp. (0.01 km, 7.5 km) Acc. (cm/s/s) Acc. Acc. (cm/s/s) Acc. −15 (cm/s/s) Acc. −15 −15 UD comp. (0.01 km, 15.0 km) −20 −20 −20 0 5 10 15 20 25 30 0 5 10 15 20 25 30 0 5 10 15 20 25 30 Time (s) Time (s) Time (s) 20 20 20 15 EW comp. (15 km, 0.0 km) 15 15 UD comp. (15 km, 0.0 km) 10 EW comp. (15 km, 7.5 km) 10 10 UD comp. (15 km, 7.5 km) 5 EW comp. (15 km, 15.0 km) 5 5 UD comp. (15 km, 15.0 km) 0 0 0 −5 −5 NS comp. (15 km, 0.0 km) −5 −10 −10 NS comp. (15 km, 7.5 km) −10 Acc. (cm/s/s) Acc. −15 (cm/s/s) Acc. −15 NS comp. (15 km, 15.0 km) (cm/s/s) Acc. −15 −20 −20 −20 0 5 10 15 20 25 30 0 5 10 15 20 25 30 0 5 10 15 20 25 30 Time (s) Time (s) Time (s) 20 20 20 15 EW comp. (30 km, 0.0 km) 15 NS comp. (30 km, 0.0 km) 15 UD comp. (30 km, 0.0 km) 10 EW comp. (30 km, 7.5 km) 10 NS comp. (30 km, 7.5 km) 10 UD comp. (30 km, 7.5 km) 5 EW comp. (30 km, 15.0 km) 5 NS comp. (30 km, 15.0 km) 5 UD comp. (30 km, 15.0 km) 0 0 0 −5 −5 −5 −10 −10 −10 Acc. (cm/s/s) Acc. Acc. (cm/s/s) Acc. (cm/s/s) Acc.

eso:2.Ags,22,15:04 2021, August, 26. version: −15 −15 −15 −20 −20 −20 0 5 10 15 20 25 30 0 5 10 15 20 25 30 0 5 10 15 20 25 30 Time (s) Time (s) Time (s)

Figure 706.39: Calculated time history acceleration, station azimuth = 90◦ Jeremi´cet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremi´c et 3104 of 2811 page: EQUATIONS INTEGRAL 706.1. Notes ESSI

Figure 706.40: Calculated time history velocity, station azimuth = 90◦ Jeremi´cet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremi´c et 3104 of 2812 page: EQUATIONS INTEGRAL 706.1. Notes ESSI

0.4 EW comp. (30 km, 0.0 km) 0.4 NS comp. (30 km, 0.0 km) 0.4 EW comp. (30 km, 7.5 km) NS comp. (30 km, 7.5 km) 0.2 EW comp. (30 km, 15.0 km) 0.2 NS comp. (30 km, 15.0 km) 0.2 0.0 0.0 0.0 UD comp. (30 km, 0.0 km) −0.2 −0.2 −0.2

Disp. (cm) Disp. (cm) Disp. (cm) Disp. UD comp. (30 km, 7.5 km) eso:2.Ags,22,15:04 2021, August, 26. version: −0.4 −0.4 −0.4 UD comp. (30 km, 15.0 km) 0 5 10 15 20 25 30 0 5 10 15 20 25 30 0 5 10 15 20 25 30 Time (s) Time (s) Time (s)

Figure 706.41: Calculated time history displacement, station azimuth = 90◦ Jeremićet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et a assumes package fk the ground.pdf. considering simplified ones and measured source with point single well agrees seismogram layers predicted 9 center 706.42, data into virtual divided cosmos from is obtained ground are records 706.2, Table in shown As surface. ground 2008 ). the (Hisada, on located is Station 3104 of 2813 page: Hisada from adapted partly and below (1996). as shown al. are et Wald Properties and 6.7. January, (2008) of on magnitude occurred moment has earthquake a Northridge with EQUATIONS 1994 simulated. INTEGRAL are earthquakes 706.1. Northridge ground example, layered this / In earthquake Northridge 5: Case 706.1.2.5 Notes ESSI • • • sosaaye eut.Cmue eut r oprdwt esrdoe Measured one. measured with compared are results km. Computed 30 results. as analyses set shows 706.42 is Figure station the to fault the from distance epicentral and km 25 as set is depth Source aeproperties Wave properties Fault 706.2 Table see properties: Ground – – – – – – – t=00 Mxaalbefe.=1 z yus freq.) Nyquist Hz, 10 = freq. available (Max s 0.05 = dt function time source Triangular source coupled - Double 140 = Rake 40 = Dip 122 = Strike 6.7 = magnitude Moment ◦ ◦ ◦ http://db.cosmos-eq.org/ eso:2.Ags,22,15:04 2021, August, 26. version: ssoni Figure in shown As . Jeremićet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et 3104 of 2814 page: EQUATIONS INTEGRAL 706.1. Notes ESSI

Table 706.2: Ground properties for the example Depth Thickness VS VP/VS QB VP Poisson’s R Density G E (km) (km) (km/s) (km/s) (g/cm3) (GPa) (GPa) 0.05 0.05 0.30 1.730 600 0.52 0.25 0.94 0.08 0.21 0.1 0.05 0.40 1.730 600 0.69 0.25 0.99 0.16 0.40 0.2 0.10 0.50 1.730 600 0.87 0.25 1.05 0.26 0.65 0.3 0.10 0.75 1.730 600 1.30 0.25 1.19 0.67 1.67 0.5 0.20 1.00 1.730 600 1.73 0.25 1.32 1.32 3.31 1.5 1.00 2.00 1.730 600 3.46 0.25 1.88 7.51 18.76 4 2.50 3.20 1.730 600 5.54 0.25 2.54 26.03 65.02 27 23.00 3.60 1.730 600 6.23 0.25 2.76 35.81 89.46 eso:2.Ags,22,15:04 2021, August, 26. version: 40 13.00 3.90 1.730 900 6.75 0.25 2.93 44.55 111.30 Jeremi´cet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremi´c et 3104 of 2815 page: EQUATIONS INTEGRAL 706.1. Notes ESSI

30 30 30 EW comp. (30 km, 0.0 km) NS comp. (30 km, 0.0 km) 20 Northridge recorded, EW 20 Northridge recorded, NS 20 10 10 10 0 0 0 −10 −10 −10

Disp. (cm) Disp. −20 (cm) Disp. −20 (cm) Disp. −20 UD comp. (30 km, 0.0 km) Northridge recorded, UD −30 −30 −30 0 5 10 15 20 0 5 10 15 20 0 5 10 15 20 Time (s) Time (s) Time (s)

150 EW comp. (30 km, 0.0 km) 150 NS comp. (30 km, 0.0 km) 150 UD comp. (30 km, 0.0 km) 100 Northridge recorded, EW 100 Northridge recorded, NS 100 Northridge recorded, UD 50 50 50 0 0 0 −50 −50 −50 Vel. (cm/s) Vel. Vel. (cm/s) Vel. −100 (cm/s) Vel. −100 −100 −150 −150 −150 0 5 10 15 20 0 5 10 15 20 0 5 10 15 20 Time (s) Time (s) Time (s)

2000 EW comp. (30 km, 0.0 km) 2000 2000 UD comp. (30 km, 0.0 km) Northridge recorded, EW Northridge recorded, UD 1000 1000 1000 0 0 0 −1000 −1000 −1000 NS comp. (30 km, 0.0 km) Acc. (cm/s/s) Acc. Acc. (cm/s/s) Acc. −2000 (cm/s/s) Acc. −2000 Northridge recorded, NS −2000 eso:2.Ags,22,15:04 2021, August, 26. version: 0 5 10 15 20 0 5 10 15 20 0 5 10 15 20 Time (s) Time (s) Time (s)

Figure 706.42: Analysis result, thick line is observed (SYL station, http://db.cosmos-eq.org/); results presented by the thin line are calculated using fk/syn Jeremićet al., Real-ESSI I olbrto ihD.Ya eg rf o´ bl,M.Sme ua ih,D.HnYn n r Hexiang Dr. and Yang Han Dr. Sinha, Kumar Sumeet Mr. JoséWang) Abell, Prof. Feng, Yuan Dr. with collaboration (In (2015-2016-2017-2018-2019-2021-) Examples Illustrative Real-ESSI 707 Appendix 2816 Jeremićet al., Real-ESSI n aallmd.Hwvr rsne xmlsaevr ml,adprle oewl o rn any bring not will mode parallel sequential in and work small, algorithms very and are elements examples presented benefits. presented all a However, that through mode. noted parallel is &c.) and It (DSL), language examples. specific simple of domain number algorithms, elements, (available features Simulator eeice l nvriyo aiona Davis California, of University al. Jeremić et Notes ESSI hscatrpeet ubro lutaieeape.Temi i ssml:peetReal-ESSI present simple: is aim main The examples. illustrative of number a presents chapter This eso:2.Ags,22,15:04 2021, August, 26. version: 3104 of 2817 page: Jeremićet al., Real-ESSI 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 eeice l nvriyo aiona Davis California, of University al. Jeremić et algorithm ; static 1*N; using = steps Fx 1 linear simulate ProfileSPD; type solver ; 2 define With_no_convergence_check 1; # algorithm increment node define factor to load 1 define # load "axial; add stage loading all; new loading dofs axial 1 // # node condition fix boundary add // (1,2) nodes with beam_elastic type 1 # element element beam add the dofs; define 6 // definition. with dofs; beam 0.0*m) 6 I=b*h^3/12.0; the 0.0*m, with Help , 0.0*m) h=0.2*m; height. 1.0*m 0.0*m, and ( , b=0.2*m; width at 0.0*m Geometry: 2 ( // # at node 1 add # coordinates node node add the define ; // "beam_1element name model file: fei/DSL model ESSI 3104 of 2818 page: the shows below diagram The directions. three in direction. . loading . bending . STA static one UNDER under in ELEMENT example loading BEAM beam ELASTIC simple Loading a 707.1. Static is Under This Element Beam Elastic 707.1 Notes ESSI =(*,0m 0*m); 0*m, (0*m, 0*m) = 0*m, 1) joint_2_offset (0*m, 0, = 1, joint_1_offset ( = xz_plane_vector 0*kg/m^3 = mass_density I = bending_Iz I = bending_Iy 0.33*b*h^3 = torsion_Jx 5e8*N/m^2 = shear_modulus 1e9*N/m^2 = elastic_modulus b*h = cross_section iue771 h atlvrmodel cantilever The 707.1: Figure 0.2m 0.2m eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI 43 42 41 40 39 38 37 36 35 34 33 32 31 30 47 46 45 44 =1*N; = Fz linear type ; 2 With_no_convergence_check 1; # algorithm increment node define factor to load 3 define # load 2; add # load "bending2; direction remove stage other loading the algorithm; new in static 1*N; bending using = // steps Fy 1 linear simulate ProfileSPD; type solver ; 2 define With_no_convergence_check 1; # algorithm increment node define factor to load 2 define # load 1; add # load "bending1; remove stage direction loading one new in bending // eeice l nvriyo aiona Davis California, of University al. Jeremić et algorithm; bye; static using steps 1 simulate ProfileSPD; solver define 3104 of 2819 page: . . . STA UNDER ELEMENT BEAM ELASTIC 707.1. Notes ESSI here. downloaded be can example this for files fei/DSL model ESSI The eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 SImdlfiDLfile: fei/DSL model ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et (1,2) nodes with beam_elastic type 1 # element add elements add // possion_ratio=0.3; (1.8751)^4*elastic_constant*I/(natural_frequency^2*L^4*A); = rho L=1*m; A=b*h; I=b*h^3/12.0; 1e9*N/m^2; = elastic_constant 2*pi/natural_period; = natural_frequency 1*s; dofs; = 6 natural_period properties with dofs; Materials: 0.0*m) 6 // 0.0*m, with , 0.0*m) h=0.2*m; 1.0*m 0.0*m, ( , b=0.2*m; at 0.0*m 2 ( # at node 1 add # node add node add // ; "beam_1element name model 3104 of 2820 page: description: Problem . . . DYN UNDER ELEMENT BEAM ELASTIC Loading 707.2. Dynamic under Element Beam Elastic 707.2 Notes ESSI =(*,0m 0*m) 0*m, 1) (0*m, 0, = 1, joint_1_offset ( = xz_plane_vector rho = mass_density b*h^3/12 = bending_Iz b*h^3/12 = bending_Iy 0.33*b*h^3 = torsion_Jx elastic_constant/2/(1+possion_ratio) = shear_modulus elastic_constant = elastic_modulus b*h = cross_section height and width Geometry: // iue772 h atlvrmodel. cantilever The 707.2: Figure 0.2m 0.2m eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI 42 41 40 39 38 37 36 35 34 33 32 31 30 29 78 77 76 75 74 73 72 71 70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 0.25; = beta 0.5 = gamma with Newmark path_time_series integrator type dynamic ; 2 define "slowLoading.txt # // = node series_file 1.*N to // = 1 Fz # // load "slowLoading"; add stage (Slow) // loading seconds. new 180 // ------in // load // add // // --slowLoading------// // ------// all; // dofs 1 # node condition fix boundary add // eeice l nvriyo aiona Davis California, of University al. Jeremić et bye; algorithm transient 0.25; using = steps beta 2000 0.5 simulate ProfileSPD; = solver ; gamma define With_no_convergence_check with algorithm Newmark path_time_series define integrator type dynamic 2 define # node to 3 # vibration load "freeVibration; free add stage 2; to loading # release new load then remove and // ------load // a // add // // --freeVibration------// // ------// // algorithm 0.01*s; transient 0.25; = using = time_step steps beta // 1000 0.5 simulate ProfileSPD; = // solver ; gamma define With_no_convergence_check with // algorithm Newmark path_time_series define integrator type // dynamic ; 2 define "fastLoading.txt # // = node series_file 1.*N to // = 2 Fz # // load "fastLoading"; add stage // loading 1; new # (Fast) // load seconds remove 0.6 // ------in // load // add // // --fastLoading------// // ------// // algorithm 0.1*s; transient = using time_step steps // 2000 simulate ProfileSPD; // solver ; define With_no_convergence_check // algorithm define // 3104 of 2821 page: . . . DYN UNDER ELEMENT BEAM ELASTIC 707.2. Notes ESSI =(*,0m 0*m); 0*m, (0*m, = joint_2_offset =0.01*s; = time_step ; "freeVibration.txt = series_file 1.*N = Fz eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et 3104 of 2822 page: . . . DYN UNDER ELEMENT BEAM ELASTIC 707.2. Results Displacement Notes ESSI here. downloaded be can example this for files fei/DSL model ESSI The iue773 lwlaigcniin etcldslcmnso h atlvrtip. cantilever the or displacements vertical condition, loading Slow 707.3: Figure iue774 atlaigcniin etcldslcmnso h atlvrtip. cantilever the of displacements vertical condition, loading Fast 707.4: Figure

Displacements (meter) Displacements (meter) 0.0000000 0.0000010 0.0000020 0.0000030 0.0000000 0.0000010 0.0000020 0.0000030 0.0000040 0.0000005 0.0000015 0.0000025 0.0000035 0.0000005 0.0000015 0.0000025 0 0 2 50 4 Time (second) Time (second) 100 6 150 8 eso:2.Ags,22,15:04 2021, August, 26. version: 200 10 Jeremi´cet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremi´c et 3104 of 2823 page: . . . DYN UNDER ELEMENT BEAM ELASTIC 707.2. Notes ESSI

iue775 revbain etcldslcmnso h atlvrtip. cantilever the of displacements vertical vibration, Free 707.5: Figure Displacements (meter) 0.000000 0.000003 0.000001 0.000002 0.000003 0.000001 0.000002 0 2 4 Time (second) 6 8 eso:2.Ags,22,15:04 2021, August, 26. version: 10 Jeremićet al., Real-ESSI 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 SImdlfiDLfile: fei/DSL model ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et { (ii<6) while ii=1; elements add // height and h=0.2*m; width geometry: b=0.2*m; section Cross // possion_ratio=0.3; (1.8751)^4*elastic_constant*I/(natural_frequency^2*L^4*A); = rho L=1*m; A=b*h; I=b*h^3/12.0; 1e9*N/m^2; = elastic_constant 2*pi/natural_period; = natural_frequency 1*s; = natural_period properties Materials: // dofs; 6 with dofs; 0.0*m) 6 h=0.2*m; height 0.0*m, with dofs; and , 0.0*m) 6 b=0.2*m; width 1.0*m 0.0*m, with dofs; Geometry: ( , 0.0*m) 6 // at 0.8*m 0.0*m, with dofs; 6 ( , 0.0*m) 6 # at 0.6*m 0.0*m, with dofs; node 5 ( , 0.0*m) 6 add # at 0.4*m 0.0*m, with node 4 ( , 0.0*m) add # at 0.2*m 0.0*m, node 3 ( , add # at 0.0*m node 2 ( add # at node 1 add # node add node add // ; "beam_5element name model 3104 of 2824 page: . . . ELEME BEAM ELASTIC 5 CANTILEVER, 707.3. Elements description: Beam Problem Elastic 5 Cantilever, 707.3 Notes ESSI iue776 h atlvrmodel. cantilever The 707.6: Figure 0.2m 0.2m eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI 45 44 43 42 41 40 39 38 37 36 35 34 33 32 82 81 80 79 78 77 76 75 74 73 72 71 70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 } eeice l nvriyo aiona Davis California, of University al. Jeremić et vibration free 2; for # release load then remove and // ------load // a // add // // --freeVibration ------// // ------// // algorithm 0.01*s; transient 0.25; = using = time_step steps beta // 1000 0.5 simulate ProfileSPD; = // solver ; gamma define With_no_convergence_check with // algorithm Newmark path_time_series define integrator type // dynamic ; 6 define "fastLoading.txt # // = node series_file 1.*N to // = 2 Fz # // load "fastLoading"; add stage // loading 1; new # // load seconds. remove 0.6 // ------in // load // add // // --fastLoading------// // ------// // algorithm 0.1*s; transient 0.25; = using = time_step steps beta // 2000 0.5 simulate ProfileSPD; = // solver ; gamma define With_no_convergence_check with // algorithm Newmark path_time_series define integrator type // dynamic ; 6 define "slowLoading.txt # // = node series_file 1.*N to // = 1 Fz # // load "slowLoading"; add stage // loading seconds. new 180 // ------in // load // add // // --slowLoading------// // ------// all; // dofs 1 # node condition fix boundary add // 3104 of 2825 page: . . . ELEME BEAM ELASTIC 5 CANTILEVER, 707.3. Notes ESSI ii+=1; (ii,ii+1) nodes with beam_elastic type ii # element add =(*,0m 0*m); 0*m, (0*m, 0*m) = 0*m, 1) joint_2_offset (0*m, 0, = 1, joint_1_offset ( = xz_plane_vector rho = mass_density b*h^3/12 = bending_Iz b*h^3/12 = bending_Iy 0.33*b*h^3 = torsion_Jx elastic_constant/2/(1+possion_ratio) = shear_modulus elastic_constant = elastic_modulus b*h = cross_section eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI 93 92 91 90 89 88 87 86 85 84 83 bye; algorithm transient 0.25; using = steps beta 100 0.5 simulate ProfileSPD; = solver ; gamma define With_no_convergence_check with algorithm Newmark path_time_series define integrator type dynamic 6 define # node to 3 # load "freeVibration; add stage loading new eeice l nvriyo aiona Davis California, of University al. Jeremić et results Displacement 3104 of 2826 page: . . . ELEME BEAM ELASTIC 5 CANTILEVER, 707.3. Notes ESSI =0.1*s; = time_step ; "freeVibration.txt = series_file 1.*N = Fz . here downloaded be can example this for files fei/DSL model ESSI The iue777 lwlaigcniin etcldslcmnso h atlvrtip. cantilever the of displacements vertical condition, loading Slow 707.7: Figure

Displacements (meter) 0.4 0.6 0.0 0.8 1.4 0.2 1.6 1.0 1.2 0 1e 7 50 Time (second) 100 150 eso:2.Ags,22,15:04 2021, August, 26. version: 200 Jeremi´cet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremi´c et 3104 of 2827 page: . . . ELEME BEAM ELASTIC 5 CANTILEVER, 707.3. Notes ESSI iue779 revbaincniin etcldslcmnso h atlvrtip. cantilever the of displacements vertical condition, vibration Free 707.9: Figure iue778 atlaigcniin etcldslcmnso h atlvrtip. cantilever the of displacements vertical condition, loading Fast 707.8: Figure

Displacements (meter) Displacements (meter) 0.0 2.0 0.0 0.5 2.0 2.5 0.5 1.0 2.0 1.0 0.5 1.0 1.5 1.5 0.5 1.5 0 0 1e 1e 7 7 2 2 4 4 Time (second) Time (second) 6 6 8 8 eso:2.Ags,22,15:04 2021, August, 26. version: 10 10 Jeremićet al., Real-ESSI 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 eeice l nvriyo aiona Davis California, of University dofs; 3 with dofs; *m) 3 0.0000 with dofs; *m, *m) 3 0.1000 0.2000 with dofs; *m, *m, *m) 3 0.0000 0.2000 al. 0.2000 with Jeremićdofs; et ( *m, *m, *m) 3 at 0.0000 0.2000 0.2000 with dofs; 9 ( *m, *m, *m) 3 # at 1.0000 0.0000 0.2000 with node dofs; 8 ( *m, *m, *m) add 3 # at 1.0000 0.0000 0.0000 with node dofs; 7 ( *m, *m, *m) add 3 # at 0.0000 0.0000 0.0000 with node dofs; 6 ( *m, *m, *m) add 3 # at 1.0000 0.2000 0.0000 with node 5 ( *m, *m, *m) add # at 1.0000 0.0000 0.0000 node 4 ( *m, *m, add # at 0.0000 0.2000 node 3 ( *m, add # at 0.0000 node 2 ( add # at node 1 add # node add linear_elastic_isotropic_3d_LT type 1 # material add possion_ratio=0.3; (1.8751)^4*elastic_constant*I/(natural_frequency^2*L^4*A); = rho L=1*m; A=b*h; I=b*h^3/12.0; 1e9*N/m^2; = elastic_constant 2*pi/natural_period; = natural_frequency 1*s; = natural_period properties Materials: // h=0.2*m; height and b=0.2*m; width Geometry: // ; "brick_1element name model file: fei/DSL model ESSI 3104 of 2828 page: . . . EL BRICK NODE 27 Loading ONE Dynamic CANTILEVER, Element, 707.4. Brick description: Node Problem 27 One Cantilever, 707.4 Notes ESSI =possion_ratio; = poisson_ratio elastic_constant = elastic_modulus rho = mass_density iue771:Tecniee model. cantilever The 707.10: Figure 0.2m 0.2m eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI 45 44 43 42 41 40 39 38 37 36 35 34 33 32 74 73 72 71 70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 dofs; 3 with dofs; *m) 3 0.1000 with dofs; *m, *m) 3 0.2000 0.1000 with dofs; *m, *m, *m) 3 0.5000 0.1000 0.1000 with dofs; ( *m, *m, *m) 3 at 0.0000 0.1000 0.1000 with dofs; 23 ( *m, *m, *m) 3 # at 0.5000 0.0000 0.1000 with node dofs; 22 ( *m, *m, *m) add 3 # at 1.0000 0.2000 0.1000 with node dofs; 21 ( *m, *m, *m) add 3 # at 1.0000 0.2000 0.1000 with node dofs; 20 ( *m, *m, *m) add 3 # at 0.0000 0.0000 0.2000 with node dofs; 19 ( *m, *m, *m) add 3 # at 0.0000 0.0000 0.2000 with node dofs; 18 ( *m, *m, *m) add 3 # at 0.5000 0.1000 0.2000 with node dofs; 17 ( *m, *m, *m) add 3 # at 1.0000 0.2000 0.2000 with node dofs; 16 ( *m, *m, *m) add 3 # at 0.5000 0.1000 0.0000 with node dofs; 15 ( *m, *m, *m) add 3 # at 0.0000 0.0000 0.0000 with node 14 ( *m, *m, *m) add # at 0.5000 0.1000 0.0000 node 13 ( *m, *m, add # at 1.0000 0.2000 node 12 ( *m, add # at 0.5000 node 11 ( add # at node 10 add # node add eeice l nvriyo aiona Davis California, of University = series_file Fz=1/9.0*N path_time_series type = 15 series_file # al. Fz=1/9.0*N Jeremić et node path_time_series to type = 7 11 series_file # # Fz=1/9.0*N load node path_time_series add to type // = 6 20 series_file # # Fz=1/36.0*N load node path_time_series add to type // = 5 7 series_file # # Fz=1/36.0*N load node path_time_series add to type // = 4 3 series_file # # Fz=1/36.0*N load node path_time_series add to type // = 3 6 series_file # # Fz=1/36.0*N load node path_time_series add to type // 2 4 # # load node add to // 1 # load "slowLoading"; add stage // loading new // ------// // --slowLoading------// // ------// // all; dofs 22 all; # dofs node 18 all; fix # dofs node 17 all; fix # dofs node 13 all; fix # dofs node 9 all; fix # dofs node 8 all; fix # dofs 10, node 5 9, all; fix # 6, dofs node 7, 2 all; fix 8, # dofs 5, node 1 4, fix # 3, node dofs; 1, fix 3 2, with dofs; nodes( *m) 3 with 0.2000 with dofs; 27NodeBrickLT *m, *m) 3 type 0.1000 0.0000 with dofs; 1 *m, *m, *m) 3 # 0.5000 0.1000 0.1000 with element ( *m, *m, *m) add at 0.5000 0.0000 0.1000 27 ( *m, *m, # at 0.5000 0.1000 node 26 ( *m, add # at 1.0000 node 25 ( add # at node 24 add # node add 3104 of 2829 page: . . . EL BRICK NODE 27 ONE CANTILEVER, 707.4. Notes ESSI ; "slowLoading.txt ; "slowLoading.txt ; "slowLoading.txt ; "slowLoading.txt ; "slowLoading.txt ; "slowLoading.txt use 27) 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 1; 15, # 14, material 13, 12, 11, eso:2.Ags,22,15:04 2021, August, 26. version: ← ← ← ← ← ← ← ← ------← - Jeremićet al., Real-ESSI 110 109 108 107 106 105 104 103 102 101 100 85 84 83 82 81 80 79 78 77 76 75 99 98 97 96 95 94 93 92 91 90 89 88 87 86 = series_file Fz=1/36.0*N path_time_series type = 3 series_file # Fz=1/36.0*N node path_time_series to type = 203 6 series_file # # Fz=1/36.0*N load node path_time_series add to type 202 4 # # load node add to 201 # load "freeVibration "; add stage loading new ------// // // // ------// // algorithm 0.01*s; transient = using time_step steps // 1000 simulate ProfileSPD; // solver define // --fastLoading------// // ------// // algorithm 0.1*s; transient 0.25; = using = time_step steps beta // 2000 0.5 simulate ProfileSPD; = // = solver ; gamma series_file define With_no_convergence_check with Fz=4/9.0*N // algorithm Newmark path_time_series define integrator solver type // = dynamic and 24 series_file define algorithm # Fz=1/9.0*N // add node path_time_series // to type // 9 19 # # load node add to // 8 # load add // eeice l nvriyo aiona Davis California, of University al. Jeremić et 0.25; = beta 0.5 = = ; gamma series_file With_no_convergence_check with Fz=4/9.0*N algorithm Newmark path_time_series define integrator solver type // = dynamic and 24 series_file define algorithm # Fz=1/9.0*N // add node path_time_series // to type // = 109 19 series_file # # Fz=1/9.0*N load node path_time_series add to type // = 108 15 series_file # # Fz=1/9.0*N load node path_time_series add to type // = 107 11 series_file # # Fz=1/9.0*N load node path_time_series add to type // = 106 20 series_file # # Fz=1/36.0*N load node path_time_series add to type // = 105 7 series_file # # Fz=1/36.0*N load node path_time_series add to type // = 104 3 series_file # # Fz=1/36.0*N load node path_time_series add to type // = 103 6 series_file # # Fz=1/36.0*N load node path_time_series add to type // 102 4 # # load node add to // 101 # load "fastLoading"; add stage // loading new // ------// // 3104 of 2830 page: . . . EL BRICK NODE 27 ONE CANTILEVER, 707.4. Notes ESSI ; "freeVibration.txt ; "freeVibration.txt --freeVibration------; "fastLoading.txt ; "fastLoading.txt ; "fastLoading.txt ; "fastLoading.txt ; "fastLoading.txt ; "fastLoading.txt ; "fastLoading.txt ; "fastLoading.txt ; "fastLoading.txt ; "slowLoading.txt ; "slowLoading.txt ; "slowLoading.txt ← - eso:2.Ags,22,15:04 2021, August, 26. version: ← ← ← ← ← - - - - - ← ← ← ← ← ← ← ← ← ------Jeremićet al., Real-ESSI 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111 bye; end // algorithm transient 0.25; using = steps beta 10000 0.5 simulate ProfileSPD; = = solver ; gamma series_file define With_no_convergence_check with Fz=4/9.0*N algorithm Newmark path_time_series define integrator solver type = dynamic and 24 series_file define algorithm # Fz=1/9.0*N add node path_time_series // to type = 209 19 series_file # # Fz=1/9.0*N load node path_time_series add to type = 208 15 series_file # # Fz=1/9.0*N load node path_time_series add to type = 207 11 series_file # # Fz=1/9.0*N load node path_time_series add to type = 206 20 series_file # # Fz=1/36.0*N load node path_time_series add to type 205 7 # # load node add to 204 # load add eeice l nvriyo aiona Davis California, of University al. Jeremić et series time against results Displacement 3104 of 2831 page: . . . EL BRICK NODE 27 ONE CANTILEVER, 707.4. Notes ESSI =0.001*s; = time_step here . downloaded be can example this for files fei/DSL model ESSI The ; "freeVibration.txt ; "freeVibration.txt ; "freeVibration.txt ; "freeVibration.txt ; "freeVibration.txt ; "freeVibration.txt ; "freeVibration.txt iue771:So odn odto,vria ipaeet ftecniee tip. cantilever the of displacements vertical condition, loading Slow 707.11: Figure

Displacements (meter) 0.0000000 0.0000010 0.0000020 0.0000005 0.0000015 0.0000025 0 50 Time (second) 100 150 eso:2.Ags,22,15:04 2021, August, 26. version: 200 ← ← ← ← ← ← ------Jeremi´cet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremi´c et 3104 of 2832 page: . . . EL BRICK NODE 27 ONE CANTILEVER, 707.4. Notes ESSI iue771:Fe irto odto,vria ipaeet ftecniee tip. cantilever the of displacements vertical condition, vibration Free 707.13: Figure iue771:Fs odn odto,vria ipaeet ftecniee tip. cantilever the of displacements vertical condition, loading Fast 707.12: Figure

Displacements (meter) Displacements (meter) 0.0000000 0.0000010 0.0000020 0.0000030 0.0000025 0.0000005 0.0000015 0.0000000 0.0000010 0.0000020 0.0000005 0.0000015 0.0000020 0.0000010 0.0000015 0.0000005 0 0 2 2 4 4 Time (second) Time (second) 6 6 8 8 eso:2.Ags,22,15:04 2021, August, 26. version: 10 10 Jeremićet al., Real-ESSI 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 eeice l nvriyo aiona Davis California, of University dofs; 3 with dofs; 0.0*m) 3 , with dofs; 0.2*m 0.0*m) al. 3 Jeremić et (0.2*m, , with dofs; at 0.2*m 0.0*m) 3 9 (0.1*m, , with dofs; # at 0.2*m 0.0*m) 3 node 8 (0.0*m, , with dofs; add # at 0.1*m 0.0*m) 3 node 7 (0.2*m, , with dofs; add # at 0.1*m 0.0*m) 3 node 6 (0.1*m, , with dofs; add # at 0.1*m 0.0*m) 3 node 5 (0.0*m, , with dofs; add # at 0.0*m 0.0*m) 3 node 4 (0.2*m, , with add # at 0.0*m 0.0*m) node 3 (0.1*m, , add # at 0.0*m node 2 (0.0*m, add # at node 1 add # node add linear_elastic_isotropic_3d_LT type 1 # material add possion_ratio=0.3; (1.8751)^4*elastic_constant*I/(natural_frequency^2*L^4*A); = rho L=1*m; A=b*h; I=b*h^3/12.0; 1e9*N/m^2; = elastic_constant 2*pi/natural_period; = natural_frequency 1*s; = natural_period properties Materials: // h=0.2*m; height and b=0.2*m; width Geometry: // ; "brick_5element name model file: fei/DSL model ESSI 3104 of 2833 page: . . . 27 FIVE Elements USING CANTILEVER Brick SIMULATE Node 707.5. 27 description: Five Problem Using Cantilever Simulate 707.5 Notes ESSI =possion_ratio; = poisson_ratio elastic_constant = elastic_modulus rho = mass_density iue771:Tecniee model. cantilever The 707.14: Figure 0.2m 0.2m eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI 45 44 43 42 41 40 39 38 37 36 35 34 33 32 82 81 80 79 78 77 76 75 74 73 72 71 70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 z=0.2*m; = dz uz; NBricks=5; 0*m; uy = ux uz; hh 0; dofs uy = 9 ux uz; e No dofs uy node 8 ux uz; fix No dofs uy node 7 ux uz; fix No dofs uy node 6 ux uz; fix No dofs uy node 5 ux uz; fix No dofs uy node 4 ux uz; fix No dofs uy node 3 ux uz; fix No dofs uy node 2 ux fix No dofs node 1 fix No node fix eeice l nvriyo aiona Davis California, of University al. Jeremić et NBricks) < { e ( while 3104 of 2834 page: . . . 27 FIVE USING CANTILEVER SIMULATE 707.5. Notes ESSI nodes dofs; with 3 27NodeBrickLT with dofs; type hh) 3 e+1 , with dofs; # 0.2*m hh) 3 element (0.2*m, , with dofs; add at 0.2*m hh) 3 27+18*e (0.1*m, , with dofs; # at 0.2*m hh) 3 node 26+18*e (0.0*m, , with dofs; add # at 0.1*m hh) 3 node 25+18*e (0.2*m, , with dofs; add # at 0.1*m hh) 3 node 24+18*e (0.1*m, , with dofs; add # at 0.1*m hh) 3 node 23+18*e (0.0*m, , with dofs; add # at 0.0*m hh) 3 node 22+18*e (0.2*m, , with add dofs; # at 0.0*m hh) 3 node 21+18*e (0.1*m, , with add dofs; # at 0.0*m 0.5*dz) 3 node 20+18*e (0.0*m, - with add dofs; # at hh 0.5*dz) 3 node 19+18*e , - with add dofs; # 0.2*m hh 0.5*dz) 3 node (0.2*m, , - with add dofs; at 0.2*m hh 0.5*dz) 3 18+18*e (0.1*m, , - with dofs; # at 0.2*m hh 0.5*dz) 3 node 17+18*e (0.0*m, , - with add dofs; # at 0.1*m hh 0.5*dz) 3 node 16+18*e (0.2*m, , - with add dofs; # at 0.1*m hh 0.5*dz) 3 node 15+18*e (0.1*m, , - with add dofs; # at 0.1*m hh 0.5*dz) 3 node 14+18*e (0.0*m, , - with add # at 0.0*m hh 0.5*dz) node 13+18*e (0.2*m, , - add # at 0.0*m hh node 12+18*e (0.1*m, , add # at 0.0*m node 11+18*e (0.0*m, add # at node 10+18*e add # node add dz; += hh ( 26+18*e, 24+18*e, 19+18*e, 25+18*e, 27+18*e, 21+18*e, 1+18*e, 7+18*e, 9+18*e, 3+18*e, eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111 110 109 108 107 106 105 104 103 102 101 100 96 95 94 93 92 91 90 89 88 87 86 85 84 83 99 98 97 Fx=1/9.0*N path_time_series type (26+18*e) # Fx=1/36.0*N node path_time_series to type 8 e) (25+18* # # Fx=1/9.0*N load node path_time_series add to type // 7 (24+18*e) # # Fx=4/9.0*N load node path_time_series add to type // 6 (23+18*e) # # Fx=1/9.0*N load node path_time_series add to type // 5 (22+18*e) # # Fx=1/36.0*N load node path_time_series add to type // 4 (21+18*e) # # Fx=1/9.0*N load node path_time_series add to type // 3 (20+18*e) # # Fx=1/36.0*N load node path_time_series add to type // 2 (19+18*e) # # load node add to // 1 # seconds. load "slowLoading"; 180 add stage in // loading load new Newton // ------1 // the // add // // --slowLoading------// // ------// // -1; e = e }; eeice l nvriyo aiona Davis California, of University al. Jeremić et 3104 of 2835 page: . . . 27 FIVE USING CANTILEVER SIMULATE 707.5. Notes ESSI =1; += e "slowLoading.txt"; = series_file "slowLoading.txt "; = series_file "slowLoading.txt "; = series_file "slowLoading.txt"; = series_file "slowLoading.txt"; = series_file "slowLoading.txt"; = series_file "slowLoading.txt"; = series_file "slowLoading.txt"; = series_file #1; # material use ) 23+18*e, 11+18*e, 14+18*e, 10+18*e, 16+18*e, 18+18*e, 12+18*e, 20+18*e, 22+18*e, 13+18*e, 17+18*e, 15+18*e, 2+18*e, 4+18*e, 8+18*e, 6+18*e, 5+18*e eso:2.Ags,22,15:04 2021, August, 26. version: ← ← ← ← ← ← ← ← ------Jeremićet al., Real-ESSI 162 161 160 159 158 157 156 155 154 153 152 151 150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131 130 129 128 127 126 Fx=1/36.0*N path_time_series type (21+18*e) series_file # Fx=1/9.0*N node path_time_series to type 203 (20+18*e) # # Fx=1/36.0*N load node path_time_series add to type 202 (19+18*e) # # load node add to vibration 201 free # to load "freeVibration; release add stage then loading and new ------load // a // add // // // // ------// // algorithm 0.01*s; transient 0.25; = using = time_step steps beta // 1000 0.5 simulate ProfileSPD; = // solver ; gamma define With_no_convergence_check with Fx=1/36.0*N // algorithm Newmark path_time_series define integrator solver type // dynamic and (27+18*e) define algorithm # Fx=1/9.0*N // add node path_time_series // to type // 109 (26+18*e) # # Fx=1/36.0*N load node path_time_series add to type // 108 (25+18*e) # # Fx=1/9.0*N load node path_time_series add to type // 107 (24+18*e) # # Fx=4/9.0*N load node path_time_series add to type // 106 (23+18*e) # # Fx=1/9.0*N load node path_time_series add to type // 105 (22+18*e) # # Fx=1/36.0*N load node path_time_series add to type // 104 (21+18*e) # # Fx=1/9.0*N load node path_time_series add to type // 103 (20+18*e) # # Fx=1/36.0*N load node path_time_series add to type // 102 (19+18*e) # # load node add to // 101 # seconds. load "fastLoading"; 0.6 add stage in // loading load new Newton // ------1 // the // add // // --fastLoading------// // ------// // algorithm 0.1*s; transient 0.25; = using = time_step steps beta // 2000 0.5 simulate ProfileSPD; = // solver ; gamma define With_no_convergence_check with Fx=1/36.0*N // algorithm Newmark path_time_series define integrator solver type // dynamic and (27+18*e) define algorithm # // add node // to // 9 # load add // eeice l nvriyo aiona Davis California, of University al. Jeremić et 3104 of 2836 page: . . . 27 FIVE USING CANTILEVER SIMULATE 707.5. Notes ESSI ; "freeVibration.txt " = series_file ; "freeVibration.txt = ; "freeVibration .txt" = series_file --freeVibration------; "fastLoading.txt = series_file ; "fastLoading.txt = series_file ; "fastLoading.txt = series_file ; "fastLoading.txt = series_file ; "fastLoading.txt = series_file ; "fastLoading.txt = series_file ; "fastLoading.txt = series_file ; "fastLoading.txt = series_file ; "fastLoading.txt = series_file "slowLoading.txt"; = series_file ← - eso:2.Ags,22,15:04 2021, August, 26. version: ← ← ← - - ← ← ← ← ← - ← ← ← ← ------← - Jeremićet al., Real-ESSI 177 176 175 174 173 172 171 170 169 168 167 166 165 164 163 bye; end // algorithm transient 0.25; using = steps beta 100 0.5 simulate ProfileSPD; = solver ; gamma define With_no_convergence_check with Fx=1/36.0*N algorithm Newmark path_time_series define integrator solver type dynamic and (27+18*e) series_file define algorithm # Fx=1/9.0*N add node path_time_series // to type 209 (26+18*e) # # Fx=1/36.0*N load node path_time_series add to type 208 (25+18*e) series_file # # Fx=1/9.0*N load node path_time_series add to type 207 (24+18*e) series_file # # Fx=4/9.0*N load node path_time_series add to type 206 (23+18*e) series_file # # Fx=1/9.0*N load node path_time_series add to type 205 (22+18*e) # # load node add to 204 # load add eeice l nvriyo aiona Davis California, of University al. Jeremić et Results. Displacement 3104 of 2837 page: . . . 27 FIVE USING CANTILEVER SIMULATE 707.5. Notes ESSI =0.1*s; = time_step here. downloaded be can example this for files fei/DSL model ESSI The ; "freeVibration.txt = series_file ; "freeVibration.txt = ; "freeVibration.txt = series_file ; "freeVibration.txt = ; "freeVibration.txt = ; "freeVibration.txt = iue771:So odn odto,vria ipaeet ftecniee tip. cantilever the of displacements vertical condition, loading Slow 707.15: Figure

Displacements (meter) 0.0000000 0.0000010 0.0000020 0.0000030 0.0000005 0.0000015 0.0000025 0 50 Time (second) 100 150 eso:2.Ags,22,15:04 2021, August, 26. version: 200 ← ← - - ← ← ← ← - - - - Jeremi´cet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremi´c et 3104 of 2838 page: . . . 27 FIVE USING CANTILEVER SIMULATE 707.5. Notes ESSI iue771:Fe irto odto,vria ipaeet ftecniee tip. cantilever the of displacements vertical condition, vibration Free 707.17: Figure iue771:Fs odn odto,vria ipaeet ftecniee tip. cantilever the of displacements vertical condition, loading Fast 707.16: Figure

Displacements (meter) 0.0000000 0.0000010 0.0000020 0.0000030 0.0000005 0.0000015 0.0000025 0 50 Time (second) 100 150 eso:2.Ags,22,15:04 2021, August, 26. version: 200 Jeremi´cet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremi´c et 3104 of 2842 page: . . . DYN UNDER ELEMENT BEAM ELASTIC 707.6. Notes ESSI iue772:Fe irto odto,vria ipaeet ftecniee tip. cantilever the of displacements vertical condition, vibration Free 707.21: Figure iue772:Fs odn odto,vria ipaeet ftecniee tip. cantilever the of displacements vertical condition, loading Fast 707.20: Figure

Displacements (meter) Displacements (meter) 0.0000000 0.0000010 0.0000020 0.0000030 0.0000040 0.0000045 0.0000005 0.0000015 0.0000025 0.0000035 0.0000000 0.0000010 0.0000020 0.0000005 0.0000015 0.0000020 0.0000010 0.0000015 0.0000005 0 0 2 2 4 4 Time (second) Time (second) 6 6 8 8 eso:2.Ags,22,15:04 2021, August, 26. version: 10 10 Jeremićet al., Real-ESSI 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 eeice l nvriyo aiona Davis California, of University dofs; 3 with dofs; *m) 3 0.0000 with dofs; *m, *m) 3 0.2000 0.0000 with dofs; *m, *m, *m) 3 0.5000 0.1000 al. 0.2000 with Jeremićdofs; et ( *m, *m, *m) 3 at 0.0000 0.2000 0.2000 with dofs; 10 ( *m, *m, *m) 3 # at 0.0000 0.2000 0.2000 with node dofs; 9 ( *m, *m, *m) add 3 # at 1.0000 0.0000 0.2000 with node dofs; 8 ( *m, *m, *m) add 3 # at 1.0000 0.0000 0.0000 with node dofs; 7 ( *m, *m, *m) add 3 # at 0.0000 0.0000 0.0000 with node dofs; 6 ( *m, *m, *m) add 3 # at 1.0000 0.2000 0.0000 with node 5 ( *m, *m, *m) add # at 1.0000 0.0000 0.0000 node 4 ( *m, *m, add # at 0.0000 0.2000 node 3 ( *m, add # at 0.0000 node 2 ( add # at node 1 add # node add linear_elastic_isotropic_3d_LT type 1 # material add possion_ratio=0.3; (1.8751)^4*elastic_constant*I/(natural_frequency^2*L^4*A); = rho L=1*m; A=b*h; I=b*h^3/12.0; 1e9*N/m^2; = elastic_constant 2*pi/natural_period; = natural_frequency 1*s; = natural_period properties Materials: // h=0.2*m; height and b=0.2*m; width Geometry: // ; "brick-mass_1element name model file: fei/DSL model ESSI 3104 of 2843 page: . . . MOD BRICK Mass NODE Concentrated 27 BEAM, With ELASTIC Model 707.7. Brick description: Node Problem 27 Beam, Elastic 707.7 Notes ESSI =possion_ratio; = poisson_ratio elastic_constant = elastic_modulus rho = mass_density iue772:Tecniee-asmodel. cantilever-mass The 707.22: Figure 0.2m 0.2m eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI 45 44 43 42 41 40 39 38 37 36 35 34 33 32 76 75 74 73 72 71 70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 dofs; 3 with dofs; *m) 3 0.1000 with dofs; *m, *m) 3 0.1000 0.1000 with dofs; *m, *m, *m) 3 1.0000 0.2000 0.1000 with dofs; ( *m, *m, *m) 3 at 0.5000 0.1000 0.1000 with dofs; 24 ( *m, *m, *m) 3 # at 0.0000 0.1000 0.1000 with node dofs; 23 ( *m, *m, *m) add 3 # at 0.5000 0.0000 0.1000 with node dofs; 22 ( *m, *m, *m) add 3 # at 1.0000 0.2000 0.1000 with node dofs; 21 ( *m, *m, *m) add 3 # at 1.0000 0.2000 0.1000 with node dofs; 20 ( *m, *m, *m) add 3 # at 0.0000 0.0000 0.2000 with node dofs; 19 ( *m, *m, *m) add 3 # at 0.0000 0.0000 0.2000 with node dofs; 18 ( *m, *m, *m) add 3 # at 0.5000 0.1000 0.2000 with node dofs; 17 ( *m, *m, *m) add 3 # at 1.0000 0.2000 0.2000 with node dofs; 16 ( *m, *m, *m) add 3 # at 0.5000 0.1000 0.0000 with node 15 ( *m, *m, *m) add # at 0.0000 0.0000 0.0000 node 14 ( *m, *m, add # at 0.5000 0.1000 node 13 ( *m, add # at 1.0000 node 12 ( add # at node 11 add # node add eeice l nvriyo aiona Davis California, of University rho*A*L; = mz mass al. rho*A*L Jeremić et the = connect my to to rho*A*L dof beams = 1007 6 mx # add 24 node // to # slave dof node and 1006 to 7 # mass # node add to node slave dof master and 1004 with 6 # dof # node equal to node slave constraint dof master and add 1003 with 4 # dof # node equal node slave constraint dofs; master and add 6 with 3 with dofs; dof # *m) 6 equal node location. 0.2000 with constraint dofs; master same *m, *m) add 6 with the 0.2000 0.2000 with dofs; dof at *m, *m, *m) 6 equal nodes 1.0000 0.0000 0.0000 with constraint the ( *m, *m, *m) add connect at 1.0000 0.0000 0.0000 And 1007 ( *m, *m, // # at 1.0000 0.2000 node 1006 ( *m, add # at 1.0000 node 1004 ( dofs. add # at 6 node 1003 to add # dofs node 3 add from Mapping // all; dofs 22 all; # dofs node 18 all; fix # dofs node 17 all; fix # dofs node 13 all; fix # dofs node 9 all; fix # dofs node 8 all; fix # dofs 10, node 5 9, all; fix # 6, dofs node 7, 2 all; fix 8, # dofs 5, node 1 4, fix # 3, node dofs; 1, fix 3 2, with dofs; nodes( *m) 3 with 0.2000 with dofs; 27NodeBrickLT *m, *m) 3 type 0.1000 0.0000 with 1 *m, *m, *m) # 0.5000 0.1000 0.1000 element ( *m, *m, add at 0.5000 0.0000 27 ( *m, # at 0.5000 node 26 ( add # at node 25 add # node add 3104 of 2844 page: . . . MOD BRICK NODE 27 BEAM, ELASTIC 707.7. Notes ESSI u yuz; uy ux constrain uz; uy ux constrain uz; uy ux constrain uz; uy ux constrain use 27) 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 1; 15, # 14, material 13, 12, 11, eso:2.Ags,22,15:04 2021, August, 26. version: ← ← ← ← ← - - - - - ← - Jeremićet al., Real-ESSI 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111 110 109 108 107 106 105 104 103 102 101 100 90 89 88 87 86 85 84 83 82 81 80 79 78 77 99 98 97 96 95 94 93 92 91 (1004,1007) nodes with beam_elastic type 15 # element add (1004,1006) nodes with beam_elastic type 14 # element add (1003,1007) nodes with beam_elastic type 13 # element add (1003,1004) nodes with beam_elastic type 11 # element add smallI=smallb*smallh^3/12.0; smallrho=0*kg/m^3; smallnu=0.3; 1e9*N/m^2; = smallE smallh=0.01*m; smallb=0.01*m; eeice l nvriyo aiona Davis California, of University al. Jeremić et (1003,1006) nodes with beam_elastic type 12 # element add 3104 of 2845 page: . . . MOD BRICK NODE 27 BEAM, ELASTIC 707.7. Notes ESSI =smallrho = mass_density smallI = bending_Iz smallI = bending_Iy 0.33*smallb*smallh^3 = torsion_Jx smallE/2/(1+smallnu) = shear_modulus smallE = elastic_modulus smallb*smallh = cross_section =(*,0m 0*m); 0*m, (0*m, 0*m) = 0*m, 1) joint_2_offset (0*m, 0, = 1, joint_1_offset ( = xz_plane_vector smallrho = mass_density smallI = bending_Iz smallI = bending_Iy 0.33*smallb*smallh^3 = torsion_Jx smallE/2/(1+smallnu) = shear_modulus smallE = elastic_modulus smallb*smallh = cross_section 0*m); 0*m, (0*m, 0*m) = 0*m, 1) joint_2_offset (0*m, 0, = 1, joint_1_offset ( = xz_plane_vector smallrho = mass_density smallI = bending_Iz smallI = bending_Iy 0.33*smallb*smallh^3 = torsion_Jx smallE/2/(1+smallnu) = shear_modulus smallE = elastic_modulus smallb*smallh = cross_section 0*m); 0*m, (0*m, 0*m) = 0*m, 1) joint_2_offset (0*m, 0, = 1, joint_1_offset ( = xz_plane_vector smallrho = mass_density smallI = bending_Iz smallI = bending_Iy 0.33*smallb*smallh^3 = torsion_Jx smallE/2/(1+smallnu) = shear_modulus smallE = elastic_modulus smallb*smallh = cross_section 0*m); 0*m, (0*m, 0*m) = 0*m, 1) joint_2_offset (0*m, 0, = 1, joint_1_offset ( = xz_plane_vector eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI 169 168 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151 150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131 130 129 128 algorithm transient 0.25; using = steps beta 2000 0.5 simulate ProfileSPD; = // = solver ; gamma series_file define With_no_convergence_check with Fz=4/9.0*N // algorithm Newmark path_time_series define integrator solver type // = dynamic and 24 series_file define algorithm # Fz=1/9.0*N // add node path_time_series // to type // = 9 19 series_file # # Fz=1/9.0*N load node path_time_series add to type // = 8 15 series_file # # Fz=1/9.0*N load node path_time_series add to type // = 7 11 series_file # # Fz=1/9.0*N load node path_time_series add to type // = 6 20 series_file # # Fz=1/36.0*N load node path_time_series add to type // = 5 7 series_file # # Fz=1/36.0*N load node path_time_series add to type // = 4 3 series_file # # Fz=1/36.0*N load node path_time_series add to type // = 3 6 series_file # # Fz=1/36.0*N load node path_time_series add to type // 2 4 # # load node add to // 1 # seconds. load "slowLoading"; 180 add stage in // loading load new Newton // ------1 // the // add // // --slowLoading------// // ------// // (1006,1007) nodes with beam_elastic type 16 # element add eeice l nvriyo aiona Davis California, of University al. Jeremić et 3104 of 2846 page: . . . MOD BRICK NODE 27 BEAM, ELASTIC 707.7. Notes ESSI =(*,0m 0*m); 0*m, (0*m, 0*m) = 0*m, 1) joint_2_offset (0*m, 0, = 1, joint_1_offset ( = xz_plane_vector smallrho = mass_density smallI = bending_Iz smallI = bending_Iy 0.33*smallb*smallh^3 = torsion_Jx smallE/2/(1+smallnu) = shear_modulus smallE = elastic_modulus smallb*smallh = cross_section 0*m); 0*m, (0*m, 0*m) = 0*m, 1) joint_2_offset (0*m, 0, = 1, joint_1_offset ( = xz_plane_vector smallrho = mass_density smallI = bending_Iz smallI = bending_Iy 0.33*smallb*smallh^3 = torsion_Jx smallE/2/(1+smallnu) = shear_modulus smallE = elastic_modulus smallb*smallh = cross_section ; "slowLoading.txt ; "slowLoading.txt ; "slowLoading.txt ; "slowLoading.txt ; "slowLoading.txt ; "slowLoading.txt ; "slowLoading.txt ; "slowLoading.txt ; "slowLoading.txt eso:2.Ags,22,15:04 2021, August, 26. version: ← ← ← ← ← ← ← ← ← ------Jeremićet al., Real-ESSI 203 202 201 200 199 198 197 196 195 194 193 192 191 190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171 170 = series_file Fz=1/9.0*N path_time_series type = 15 series_file # Fz=1/9.0*N node path_time_series to type = 207 11 series_file # # Fz=1/9.0*N load node path_time_series add to type = 206 20 series_file # # Fz=1/36.0*N load node path_time_series add to type = 205 7 series_file # # =1/36.0*N Fz load node path_time_series add to type = 204 3 series_file # # Fz=1/36.0*N load node path_time_series add to type = 203 6 series_file # # Fz=1/36.0*N load node path_time_series add to type 202 4 # # load node add to 201 # load "freeVibration; add stage loading new ------// // // // ------// // algorithm 0.01*s; transient 0.25; = using = time_step steps beta // 1000 0.5 simulate ProfileSPD; = // = solver ; gamma series_file define With_no_convergence_check with Fz=4/9.0*N // algorithm Newmark path_time_series define integrator solver type // = dynamic and 24 series_file define algorithm # Fz=1/9.0*N // add node path_time_series // to type // = 109 19 series_file # # Fz=1/9.0*N load node path_time_series add to type // = 108 15 series_file # # Fz=1/9.0*N load node path_time_series add to type // = 107 11 series_file # # Fz=1/9.0*N load node path_time_series add to type // = 106 20 series_file # # Fz=1/36.0*N load node path_time_series add to type // = 105 7 series_file # # Fz=1/36.0*N load node path_time_series add to type // = 104 3 series_file # # Fz=1/36.0*N load node path_time_series add to type // = 103 6 series_file # # Fz=1/36.0*N load node path_time_series add to type // 102 4 # # load node add to // 101 # seconds. load "fastLoading"; 0.6 add stage in // loading load new Newton // ------1 // the // add // // --fastLoading------// // ------// // 0.1*s; = time_step // eeice l nvriyo aiona Davis California, of University al. Jeremić et 3104 of 2847 page: . . . MOD BRICK NODE 27 BEAM, ELASTIC 707.7. Notes ESSI ; "freeVibration.txt ; "freeVibration.txt ; "freeVibration.txt ; "freeVibration.txt ; "freeVibration.txt ; "freeVibration.txt ; "freeVibration.txt --freeVibration------; "fastLoading.txt ; "fastLoading.txt ; "fastLoading.txt ; "fastLoading.txt ; "fastLoading.txt ; "fastLoading.txt ; "fastLoading.txt ; "fastLoading.txt ; "fastLoading.txt ← - eso:2.Ags,22,15:04 2021, August, 26. version: ← ← ← ← ← ← ← ------← ← ← ← ← ← ← ← ← ------Jeremićet al., Real-ESSI 214 213 212 211 210 209 208 207 206 205 204 bye; end // algorithm transient 0.25; using = steps beta 100 0.5 simulate ProfileSPD; = = solver ; gamma series_file define With_no_convergence_check with Fz=4/9.0*N algorithm Newmark path_time_series define integrator solver type = dynamic and 24 series_file define algorithm # Fz=1/9.0*N add node path_time_series // to type 209 19 # # load node add to 208 # load add eeice l nvriyo aiona Davis California, of University al. Jeremić et Results. Displacement 3104 of 2848 page: . . . MOD BRICK NODE 27 BEAM, ELASTIC 707.7. Notes ESSI =0.1*s; = time_step here . downloaded be can example this for files fei/DSL model ESSI The ; "freeVibration.txt ; "freeVibration.txt iue772:So odn odto,vria ipaeet ftecniee tip. cantilever the of displacements vertical condition, loading Slow 707.23: Figure

Displacements (meter) 0.0000000 0.0000010 0.0000020 0.0000005 0.0000015 0.0000025 0 50 Time (second) 100 150 eso:2.Ags,22,15:04 2021, August, 26. version: 200 ← ← - - Jeremi´cet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremi´c et 3104 of 2849 page: . . . MOD BRICK NODE 27 BEAM, ELASTIC 707.7. Notes ESSI iue772:Fe irto odto,vria ipaeet ftecniee tip. cantilever the of displacements vertical condition, vibration Free 707.25: Figure iue772:Fs odn odto,vria ipaeet ftecniee tip. cantilever the of displacements vertical condition, loading Fast 707.24: Figure

Displacements (meter) Displacements (meter) 0.0000000 0.0000010 0.0000020 0.0000030 0.0000040 0.0000035 0.0000005 0.0000015 0.0000025 0.000000 0.000003 0.000001 0.000002 0.000003 0.000001 0.000002 0 0 2 2 4 4 Time (second) Time (second) 6 6 8 8 eso:2.Ags,22,15:04 2021, August, 26. version: 10 10 Jeremićet al., Real-ESSI 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 eeice l nvriyo aiona Davis California, of University al. Jeremić et (1,2) nodes with beam_elastic type 1 # element add elements add // possion_ratio=0.3; (1.8751)^4*elastic_constant*I/(natural_frequency^2*L^4*A); = rho L=1*m; A=b*h; I=b*h^3/12.0; 1e9*N/m^2; = elastic_constant 2*pi/natural_period; = natural_frequency 1*s; = natural_period properties Materials: // dofs; 6 with dofs; 0.0*m) 6 h=0.2*m; height 0.0*m, with and , 0.0*m) b=0.2*m; width 1.0*m 0.0*m, Geometry: ( , // at 0.0*m 2 ( # at node 1 add # node add node add // ; "beam_1element name model file: fei/DSL model ESSI 3104 of 2850 page: . description: . (Rayleigh/- . Problem DYNAMIC ELEMENT, Viscous BEAM ELASTIC Loading, 707.8. Dynamic Element, Beam Elastic 707.8 Notes ESSI =rho = mass_density b*h^3/12 = bending_Iz b*h^3/12 = bending_Iy 0.33*b*h^3 = torsion_Jx elastic_constant/2/(1+possion_ratio) = shear_modulus elastic_constant = elastic_modulus b*h = cross_section age)adNmrcl(emr/H)Damping (Newmark/HHT) Numerical and Caughey) iue772:Tecniee-asmodel. cantilever-mass The 707.26: Figure 0.2m 0.2m eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI 43 42 41 40 39 38 37 36 35 34 33 32 31 30 78 77 76 75 74 73 72 71 70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 path_time_series type ; 2 "freeVibration.txt # = node series_file 1.*N to // = 1 Fz # // load "no-damping"; add stage // loading new // ------// // --no-damping------// // ------// all; // dofs 1 # node condition fix boundary add // eeice l nvriyo aiona Davis California, of University al. Jeremić et ------// // // // ------algorithm // 0.1*s; transient // = using time_step steps // 300 -0.20; simulate ProfileSPD; = // solver ; alpha define With_no_convergence_check with // algorithm Hilber_Hughes_Taylor path_time_series define integrator type // dynamic ; 6 define "freeVibration.txt # // = node series_file 1.*kN to // = 4 Fz # // load "HHT-damping"; add stage // loading 3; new # // load remove // ------// // --HHT-damping------// // ------algorithm // 0.1*s; transient 0.3025; // = using = time_step steps beta // 100 0.6 simulate ProfileSPD; = // solver ; gamma define With_no_convergence_check with // algorithm Newmark path_time_series define integrator type // dynamic ; 2 define "freeVibration.txt # // = node series_file 1.*N to // = 3 Fz # // load "Newmark-damping"; add stage // loading 2; new # // load remove // ------// // // // ------// // algorithm 0.1*s; transient 0.25; = using = time_step steps beta // 100 0.5 simulate ProfileSPD; = // solver ; gamma define With_no_convergence_check with // algorithm Newmark define integrator // dynamic define // 3104 of 2851 page: . . . DYNAMIC ELEMENT, BEAM ELASTIC 707.8. Notes ESSI =(*,0m 0*m); 0*m, (0*m, 0*m) = 0*m, 1) joint_2_offset (0*m, 0, = 1, joint_1_offset ( = xz_plane_vector --Rayleigh-damping------Newmark-damping------← ← - - eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111 110 109 108 107 106 105 104 103 102 101 100 92 91 90 89 88 87 86 85 84 83 82 81 80 79 99 98 97 96 95 94 93 algorithm 0.2*s; transient 0.3025; = using = time_step steps beta // 100 0.6 simulate ProfileSPD ; = // solver ; gamma noise. damping, define With_no_convergence_check with frequency Newmark // algorithm Newmark high some define integrator some add // dynamic be to define will have // there we path_time_series Otherwise, damping, type // Caughey3rd ; 6 For "freeVibration.txt # // = node series_file 10.*kN to // = 6 Fz # // load "Caughey3rd-damping "; add stage // loading kk; new # // element } to // 2 kk+=1; # // damping add { // (kk<6) while // kk=1; Last_Committed_Stiffness; // = stiffness_to_use 0.000361559*s^3 // = a2 0.0730746*s with // = Caughey3rd a1 0.560523/s type // = 2 a0 # // damping add // ------// // --Caughey3rd-damping------// // ------// // algorithm transient using steps 100 simulate ProfileSPD; solver ; define With_no_convergence_check algorithm define with Rayleigh type 1 # damping add rayl_a1*w1*w2; w2); = + rayl_a0 2*xi/(w1 = rayl_a1 xi=0.05; 2*pi*f2; = w2 2*pi*f1; = 2; w1 = number_of_modes f2=0.996807/s; algorithm eigen f1=0.996807/s; using 4; simulate # // load remove // eeice l nvriyo aiona Davis California, of University al. Jeremić et 0.25; = beta 0.5 = gamma with Newmark path_time_series integrator type dynamic 2 define # node to 5 # load "Rayleigh-damping; 1; add stage # loading element new to 1 # damping add 3104 of 2852 page: . . . DYNAMIC ELEMENT, BEAM ELASTIC 707.8. Notes ESSI =Initial_Stiffness; = stiffness_to_use rayl_a1 = a1 rayl_a0 = a0 =0.1*s; = time_step ; "freeVibration.txt = series_file 1.*N = Fz eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI 157 156 155 154 153 152 151 150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131 130 bye; algorithm 0.2*s; transient 0.3025; = using = time_step steps beta // 100 0.6 simulate ProfileSPD; = // solver ; gamma noise. damping, define With_no_convergence_check with frequency Newmark // algorithm Newmark high some define integrator some add // dynamic be to define will have // there we path_time_series Otherwise, damping, type // Caughey4th ; 6 For "freeVibration.txt # // = node series_file 10.*kN to // = 6 Fz # // load "Caughey4th-damping"; add stage // loading kk; new # // element } to // 2 kk+=1; # // damping add { // (kk<6) while // kk=1; Last_Committed_Stiffness; // = stiffness_to_use 1.20005*10^(-6)*s^5 // = a3 0.000517195*s^3 // = a2 0.0756472*s with // = Caughey4th a1 0.560523/s type // = 2 a0 # // damping add // ------// // --Caughey4th-damping------// // ------// // eeice l nvriyo aiona Davis California, of University al. Jeremić et series time against results Displacement 3104 of 2853 page: . . . DYNAMIC ELEMENT, BEAM ELASTIC 707.8. Notes ESSI . here downloaded be can example this for files fei/DSL model ESSI The eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et can- the of displacements vertical damping, tip. (Rayleigh) tilever viscous condition, vibration Free 707.28: Figure 3104 of 2854 page: . . . DYNAMIC ELEMENT, BEAM ELASTIC 707.8. Notes ESSI iue772:Fe irto odto,n apn,vria ipaeet ftecniee tip. cantilever the of displacements vertical damping, no condition, vibration Free 707.27: Figure

Displacements (meter) Displacements (meter) 0.000000 0.000000 0.000003 0.000003 0.000001 0.000001 0.000002 0.000002 0.000003 0.000003 0.000001 0.000001 0.000002 0.000002 0 0 2 2 4 4 Time (second) Time (second) 6 6 8 8 eso:2.Ags,22,15:04 2021, August, 26. version: 10 10 Jeremi´cet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremi´c et the of displacements vertical damping, (Caughey4th) tip. viscous cantilever condition, vibration Free 707.30: Figure the of displacements vertical damping, (Caughey3rd) tip. viscous cantilever condition, vibration Free 707.29: Figure 3104 of 2855 page: . . . DYNAMIC ELEMENT, BEAM ELASTIC 707.8. Notes ESSI

Displacements (meter) Displacements (meter) 0.0000 0.0010 0.0000 0.0010 0.0015 0.0005 0.0005 0.0015 0.0010 0.0010 0.0015 0.0005 0.0015 0.0005 0 0 5 5 Time (second) Time (second) 10 10 15 15 eso:2.Ags,22,15:04 2021, August, 26. version: 20 20 Jeremi´cet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremi´c et can- the of displacements vertical damping, (HHT) tip. numerical tilever condition, vibration Free 707.32: Figure the of displacements vertical damping, (Newmark) tip. numerical cantilever condition, vibration Free 707.31: Figure 3104 of 2856 page: . . . DYNAMIC ELEMENT, BEAM ELASTIC 707.8. Notes ESSI

Displacements (meter) Displacements (meter) 0.000000 0.000003 0.000001 0.000002 0.000003 0.000001 0.000002 0.000 0.003 0.001 0.002 0.003 0.001 0.002 0 0 5 2 10 Time (second) 15 4 Time (second) 20 6 25 8 eso:2.Ags,22,15:04 2021, August, 26. version: 30 35 10 Jeremićet al., Real-ESSI 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 eeice l nvriyo aiona Davis California, of University (2,3) nodes with al. Jeremićbeam_elastic et type 2 # element add 2) (1, nodes with beam_elastic type 1 # element density add Mass // 0*kg/m^3; = dofs; rho 6 with dofs; h=1*m; 0.00*m) 6 0.00*m, with dofs; b=1*m; 1e8*N/m^2; 6.00*m, 6.00*m) 6 = ( 0.00*m, with dofs; elastic_constant at 6.00*m, 6.00*m) 6 4 ( 0.00*m, with # at 0.00*m, 0.00*m) node 3 ( 0.00*m, add # at 0.00*m, node 2 ( add # at node 1 add # node add ; "beam_element_presentation name model file: fei/DSL model ESSI 3104 of 2857 page: . . . SIMP A FOR ELEMENT Structure BEAM Frame ELASTIC Simple 707.9. a Description for Problem Element Beam Elastic 707.9 Notes ESSI =(,0 ) 1 0, h*b^3/12 (1, = = bending_Iz xz_plane_vector b*h^3/12 rho = = bending_Iy mass_density 0.33*b*h^3 = elastic_constant torsion_Jx elastic_constant/2 = = elastic_modulus shear_modulus b*h = cross_section =(*,0m * ); 0*m 0*m, (0*m, = joint_2_offset ) 0*m 0*m, (0*m, = joint_1_offset • • ρ length= dimensions: Element iesos hidth= Dimensions: 0 = . 0kN / m 3 on’ modulus Young’s , iue773:Eatcfaewith frame Elastic 707.33: Figure 6 m height= , 6 ,cosscinwidth= section cross m, 6 E m force= , 1 = E Pa 8 100 oso’ ratio Poisson’s , N beam 1 ,cosscinheight= section cross m, lsi elements. elastic ν 0 = eso:2.Ags,22,15:04 2021, August, 26. version: . 0 . 1 ,ms density mass m, Jeremićet al., Real-ESSI 34 33 32 31 30 29 28 27 26 25 24 23 22 21 46 45 44 43 42 41 40 39 38 37 36 35 all; dofs #1 node fix (3,4) nodes with beam_elastic type 3 # element add eeice l nvriyo aiona Davis California, of University al. Jeremić et algorithm; bye; static using steps 1; 1 increment simulate factor Fz=50*N; load linear define ProfileSPD; type solver 2 define With_no_convergence_check; # algorithm node define to 1 # load add "Fz; stage loading new all; dofs #4 node fix 3104 of 2858 page: . . . SIMP A FOR ELEMENT BEAM ELASTIC 707.9. Notes ESSI =(,0 ) 1 0, h*b^3/12 (1, = = bending_Iz xz_plane_vector b*h^3/12 rho = = bending_Iy mass_density 0.33*b*h^3 = elastic_constant torsion_Jx elastic_constant/2 = = elastic_modulus shear_modulus b*h = cross_section ) 1 0, h*b^3/12 (1, = = bending_Iz xz_plane_vector b*h^3/12 rho = = bending_Iy mass_density 0.33*b*h^3 = elastic_constant torsion_Jx elastic_constant/2 = = elastic_modulus shear_modulus b*h = cross_section =(*,0m * ); 0*m 0*m, (0*m, = joint_2_offset ) 0*m 0*m, (0*m, = joint_1_offset ); 0*m 0*m, (0*m, = joint_2_offset ) 0*m 0*m, (0*m, = joint_1_offset here. downloaded be can example this for files fei/DSL model ESSI The eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI 9 8 7 6 5 4 3 2 1 ueia model: Numerical eeice l nvriyo aiona Davis California, of University dofs; 3 with dofs; *m) 3 0.00 with *m, *m) 0.00 0.00 *m, *m, al. Jeremić et 0.00 1.00 ( *m, at 0.00 2 ( # at node 1 add # node add linear_elastic_isotropic_3d type 1 # material add ; "6meter_cantilever_27brick name model file: fei/DSL model ESSI 3104 of 2859 page: (707.34). Figure in shown . . . S BEAM, CANTILEVER 27NODEBRICK 707.10. Load description: Static Problem Beam, Cantilever 27NodeBrick 707.10 Notes ESSI =0.0; = poisson_ratio 1e8*N/m^2 = elastic_modulus 0*kg/m^3 = mass_density h 7oerc lmnsfrcniee em ssoni iue(707.35): Figure in shown is beams cantilever for elements 27NodeBrick The egh6,Wdh1,Hih=m oc=0N E=1E8Pa, Force=100N, Height=1m, Width=1m, Length=6m, iue773:2NdBikeeet o atlvrbasmd fsldelements. solid of made beams cantilever for elements 27NodeBrick 707.35: Figure iue773:Polmdsrpinfrcniee beam. cantilever for description Problem 707.34: Figure ν 0 = eso:2.Ags,22,15:04 2021, August, 26. version: . 0 h oc ieto is direction force The . Jeremićet al., Real-ESSI 19 18 17 16 15 14 13 12 11 10 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 0 1 ,8 7 8 7 28, 27, 18, 17, 8, 7, 29, 11, 23, 10, 28, nodes( 17, with 15, 27NodeBrickLT 1, type 8, 2 10, dofs; # 2, 3 element nodes( with add with *m) 27NodeBrickLT 1.00 type *m, dofs; 1 0.50 3 # *m, with element dofs; 5.50 *m) add 3 ( 0.00 with dofs; at *m, *m) 3 #117 1.00 0.00 with node dofs; *m, *m, *m) add 3 3.00 1.00 0.00 with ( *m, *m, *m) ... at 4.00 1.00 0.00 6 ( *m, *m, ... # at 5.00 1.00 node 5 ( *m, add # at 6.00 node 4 ( add # at node 3 add # node add eeice l nvriyo aiona Davis California, of University al. Jeremić et 1; increment factor Fz=44.444444*N; load linear define UMFPack; type Fz=11.111111*N; solver ; 186 linear define With_no_convergence_check # type Fz=11.111111*N; algorithm node 183 linear define to # type Fz=11.111111*N; 9 node 180 linear # to # type Fz=11.111111*N; load 8 node 177 linear add # to # type Fz=2.777778*N; load 7 node 182 linear add # to # type Fz=2.777778*N; load 6 node 34 linear add # to # type Fz=2.777778*N; load 5 node 3 linear add # to # type Fz=2.777778*N; load 4 node 24 linear add # to # type load 3 node 13 add # to # load 2 node add # to load 1 add # load "Fz; add stage loading all; new dofs 45 all; # dofs node 40 all; fix # dofs node 37 all; fix # dofs node 36 all; fix # dofs node 32 all; fix # dofs node 23 all; fix # dofs node 15 all; fix # 24, dofs node 22, 2 all; fix 16, # dofs 21, node 1 4, fix # 3, node 9, fix 25, 14, 24, nodes( 21, with 20, 27NodeBrickLT 5, type 4, 6 14, # 26, 13, element 25, nodes( add 20, with 19, 27NodeBrickLT 6, type 5, 5 13, # 27, 12, element 26, nodes( add 19, with 18, 27NodeBrickLT 7, type 6, 4 12, # 11, element nodes( add with 27NodeBrickLT type 3 # element add 3104 of 2860 page: . . . S BEAM, CANTILEVER 27NODEBRICK 707.10. Notes ESSI 0,15 0,9,17 0,19 4 6 1,11 7 1,13 1,115, 114, 113, 112, 97, 102, 111, 86, 110, 101, 1; 96, 100, # 94, 99, material 109, 98, use 108, 89) 83, 117) 107, 88, 97, 116, 91, 72, 96, 100, 106, 87, 82, 105, 86, 80, 104, 85, 1; 95, 84, # 94, 75) 69, material 93, 74, 83, use 77, 58, 82, 103) 92, 73, 68, 91, 72, 66, 90, 71, 81, 70, 1; 80, 61) 55, # 79, 60, 69, material 63, 43, 68, use 78, 59, 54, 77, 58, 52, 76, 57, 67, 56, 1; 66, use 39, # 65, 47) 55, material 49, 46, 54, use 64, 45, 38, 63, 44, 34, 62, 43, 53, 42, 1; 52, 41, # 51, 40, material 30, 39, use 50, 38, 49, 37, 48, 36, 35, 1; 34, # 33, material 32, 31, 30, eso:2.Ags,22,15:04 2021, August, 26. version: ← ← ← ← ← - ← - - - - ← ← ← ← ← ← ------Jeremićet al., Real-ESSI 51 50 49 algorithm; bye; static using steps 1 simulate eeice l nvriyo aiona Davis California, of University al. Jeremić et 3104 of 2861 page: . . . S BEAM, CANTILEVER 27NODEBRICK 707.10. Notes ESSI here. downloaded be can example this for files fei/DSL model ESSI The eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI 10 9 8 7 6 5 4 3 2 1 eeice l nvriyo aiona Davis California, of University dofs; 6 with dofs; 0.0*m) 6 0.0*m, with dofs; 1.0*m, 0.0*m) 6 al. Jeremić( et 0.0*m, with at 6.0*m, 0.0*m) 3 ( 0.0*m, # at 0.0*m, node 2 ( add # at node 1 add # node add linear_elastic_isotropic_3d type 1 # material add file: fei/DSL model ESSI model: Numerical 3104 of 2862 page: . . . F BEAM, CANTILEVER 4NODEANDES Plane to 707.11. Perpendicular description: Force Problem Beam, Cantilever 4NodeANDES 707.11 Notes ESSI ; "6meter_cantilever_4NodeANDES name model =0.0; = poisson_ratio 1e8*N/m^2 = elastic_modulus 0*kg/m^3 = mass_density o oc ieto epniua otepae nytebnigdfraini present. is (707.37). deformation Figure bending in the shown only is plane, model the The to perpendicular direction force a For E=1E8Pa, Force=100N, Height=1m, Width=1m, Length=6m, iue773:4oeNE lmnsfrcniee em ne oc epniua oplane. to perpendicular force under beams cantilever for elements 4NodeANDES 707.37: Figure iue773:Cniee beams Cantilever 707.36: Figure ν 0 = . 0 eso:2.Ags,22,15:04 2021, August, 26. version: . Jeremićet al., Real-ESSI 24 23 22 21 20 19 18 17 16 15 14 13 12 11 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 #1 # material use (1,3,14,9) nodes with 4NodeShell_ANDES dofs; type 6 1 with dofs; # 0.0*m) 6 element 1.0*m, with dofs; add 1*m; 1.0*m, 0.0*m) 6 = ( 1.0*m, with dofs; h at 2.0*m, 0.0*m) 6 14 ( 1.0*m, with dofs; # at 3.0*m, 0.0*m) 6 node 13 ( 1.0*m, with dofs; add # at 4.0*m, 0.0*m) 6 node 12 ( 1.0*m, with dofs; add # at 5.0*m, 0.0*m) 6 node 11 ( 1.0*m, with dofs; add # at 0.0*m, 0.0*m) 6 node 10 ( 1.0*m, with dofs; add # at 6.0*m, 0.0*m) 6 node 9 ( 0.0*m, with dofs; add # at 5.0*m, 0.0*m) 6 node 8 ( 0.0*m, with dofs; add # at 4.0*m, 0.0*m) 6 node 7 ( 0.0*m, with add # at 3.0*m, 0.0*m) node 6 ( 0.0*m, add # at 2.0*m, node 5 ( add # at node 4 add # node add eeice l nvriyo aiona Davis California, of University al. Jeremić et algorithm; bye; static using steps 1; 1 increment simulate factor Fz=50*N; load linear define ProfileSPD; type Fz=50*N; solver ; 2 linear define With_no_convergence_check # type algorithm node 8 define to # 2 node # to load 1 add # load "Fz; add stage ; loading all new dofs ; 1 9 all # # dofs material node 1 use fix # (7,2,8,10) 1 node nodes # fix with material 4NodeShell_ANDES use type (6,7,10,11) 1 6 nodes # # with material element 4NodeShell_ANDES use add type (5,6,11,12) 1 5 nodes # # with material element 4NodeShell_ANDES use add type (4,5,12,13) 1 4 nodes # # with material element 4NodeShell_ANDES use add type (3,4,13,14) 3 nodes # with element 4NodeShell_ANDES add type 2 # element add 3104 of 2863 page: . . . F BEAM, CANTILEVER 4NODEANDES 707.11. Notes ESSI . here downloaded be can example this for files fei/DSL model ESSI The =h; h = thickness ; h = thickness ; h = thickness ; h = thickness ; h = thickness ; h = thickness eso:2.Ags,22,15:04 2021, August, 26. version: ← ← ← ← ← ← ------Jeremićet al., Real-ESSI 11 10 9 8 7 6 5 4 3 2 1 eeice l nvriyo aiona Davis California, of University dofs; 6 with dofs; 0.00*m) 6 0.00*m, al. with Jeremićdofs; et 2.00*m, 0.00*m) 6 ( 0.00*m, with dofs; at 1.00*m, 0.00*m) 6 4 ( 0.00*m, with # at 6.00*m, 0.00*m) node 3 ( 0.00*m, add # at 0.00*m, node 2 ( add # at node 1 add # node add linear_elastic_isotropic_3d type 1 # material add ; "6meter_cantilever_4NodeANDES name model file: fei/DSL model ESSI model: Numerical 3104 of 2864 page: . . . BEAMS, CANTILEVER 4NODEANDES 707.12. Force description: In-Plane Problem Beams, Cantilever 4NodeANDES 707.12 Notes ESSI =0.0; = poisson_ratio 1e8*N/m^2 = elastic_modulus 0*kg/m^3 = mass_density h NdADSeeet ne npaefrei hw nFgr (707.39). Figure in shown is force in-plane under elements 4NodeANDES The E=1E8Pa, Force=100N, Height=1m, Width=1m, Length=6m, iue773:4oeNE lmnsfrcniee em ne npaeforce in-plane under beams cantilever for elements 4NodeANDES 707.39: Figure iue773:Polmdsrpinfrcniee em ihi ln force plane in with beams cantilever for description Problem 707.38: Figure ν 0 = . 0 eso:2.Ags,22,15:04 2021, August, 26. version: . Jeremićet al., Real-ESSI 24 23 22 21 20 19 18 17 16 15 14 13 12 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 #1 # material use (1,3,14,9) nodes with 4NodeShell_ANDES dofs; type 6 1 with dofs; # 0.00*m) 6 element 1.00*m, with dofs; add 1*m; 1.00*m, 0.00*m) 6 = ( 1.00*m, with dofs; h at 2.00*m, 0.00*m) 6 14 ( 1.00*m, with dofs; # at 3.00*m, 0.00*m) 6 node 13 ( 1.00*m, with dofs; add # at 4.00*m, 0.00*m) 6 node 12 ( 1.00*m, with dofs; add # at 5.00*m, 0.00*m) 6 node 11 ( 1.00*m, with dofs; add # at 0.00*m, 0.00*m) 6 node 10 ( 1.00*m, with dofs; add # at 6.00*m, 0.00*m) 6 node 9 ( 0.00*m, with dofs; add # at 5.00*m, 0.00*m) 6 node 8 ( 0.00*m, with add # at 4.00*m, 0.00*m) node 7 ( 0.00*m, add # at 3.00*m, node 6 ( add # at node 5 add # node add eeice l nvriyo aiona Davis California, of University al. Jeremić et algorithm; bye; static using steps 1; 1 increment simulate factor Fy=50*N; load linear define ProfileSPD; type Fy=50*N; solver ; 2 linear define With_no_convergence_check # type algorithm node 8 define to # 2 node # to load 1 add # load "Fy; add stage loading all; new dofs 1 9 all; # # dofs material node 1 use fix # (7,2,8,10) 1 node nodes # fix with material 4NodeShell_ANDES use type (6,7,10,11) 1 6 nodes # # with material element 4NodeShell_ANDES use add type (5,6,11,12) 1 5 nodes # # with material element 4NodeShell_ANDES use add type (4,5,12,13) 1 4 nodes # # with material element 4NodeShell_ANDES use add type (3,4,13,14) 3 nodes # with element 4NodeShell_ANDES add type 2 # element add 3104 of 2865 page: . . . BEAMS, CANTILEVER 4NODEANDES 707.12. Notes ESSI here . downloaded be can example this for files fei/DSL model ESSI The =h; h = thickness ; h = thickness ; h = thickness ; h = thickness ; h = thickness ; h = thickness eso:2.Ags,22,15:04 2021, August, 26. version: ← ← ← ← ← ← ------Jeremićet al., Real-ESSI 4 3 2 1 eeice l nvriyo aiona Davis California, of University al. Jeremić et linear_elastic_isotropic_3d_LT type 1 # material add "dynamic_example "; name model file: fei/DSL model ESSI model: Numerical 3104 of 2866 page: . . . BEAMS, CANTILEVER 27NODEBRICK 707.13. Input description: Dynamic Problem Beams, Cantilever 27NodeBrick 707.13 Notes ESSI =2000*kg/m^3 = mass_density h odi efwih ihadnmcdslcmn fsupports. of displacement dynamic a with weight self fixed. a are is nodes load bottom The the at freedoms of degree All h ueia oe ple 7oerc osmlt h C( opnn)motion. component) (1 1C the simulate to 27NodeBrick applied model numerical The E=504MPa, Height=1m, Width=1m, Length=20m, iue774:Polmdsrpinfroesml yai example dynamic simple one for description Problem 707.40: Figure iue774:Nmrclmdlfroesml yai example dynamic simple one for model Numerical 707.41: Figure ν 0 = . 4 . eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI 18 17 16 15 14 13 12 11 10 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 9 8 7 6 5 nodes with dofs; 27NodeBrickLT 3 type with 1 20*m) # 1*m, element (1*m, add at dofs; 369 3 No with dofs; node 0*m) 3 add 1*m, with dofs; (0.5*m, 0*m) 3 ... at 0.5*m, with dofs; 6 (0.5*m, 0*m) 3 ... No at 0*m, with node 5 (0.5*m, 0*m) add No at 1*m, node 4 (0*m, add No at node 3 add No node add eeice l nvriyo aiona Davis California, of University al. Jeremić et uz; uy dofs uz; 6 uy No dofs uz; node 5 uy fix No dofs uz; node 1; 4 uy fix # No dofs uz; field node 3 uy acceleration fix No dofs uz; use node 2 uy self_weight fix No dofs type node 1; 1 20 fix # No # field node 1; element acceleration fix # to use field 1; 20 self_weight acceleration # # type use field load 1; 6 self_weight acceleration add # # type use field 1; element 5 self_weight acceleration ... # to # type use field 1; 6 element 4 self_weight acceleration ... # # to # type use field load ; 5 element 3 self_weight acceleration add -1*g # to # type use = load 4 element 2 self_weight az add # to # type 0*g load 3 element 1 = add # to # ay load 2 element 0*g add # to = load 1 ax add # 1 load # add field acceleration add nodes with 27NodeBrickLT type 20 # element add ... nodes ... with 27NodeBrickLT type 5 # element nodes add with 27NodeBrickLT type 4 # element nodes add with 27NodeBrickLT type 3 # element nodes add with 27NodeBrickLT type 2 # element add 3104 of dofs; 2867 3 page: with dofs; 0*m) 3 0.5*m, with (0*m, 0*m) at 0*m, 2 (0*m, No at . . node . 1 BEAMS, add CANTILEVER No 27NODEBRICK node 707.13. add Notes ESSI #1; 1 # material use 344,346,350,360,354,352,358,356,357,353,355,359,365,347) 0.4; = poisson_ratio 504000000.00*Pa = elastic_modulus (369,363,361,367,351,345,343,349,366,362,364,368,348, ; 1 # material use (99,93,91,97,81,75,73,79,96,92,94,98,78,74,76,80,90,84,82,88,86,87,83,85,89,95,77) ; 1 # material use (81,75,73,79,63,57,55,61,78,74,76,80,60,56,58,62,72,66,64,70,68,69,65,67,71,77,59) ; 1 # material use (63,57,55,61,45,39,37,43,60,56,58,62,42,38,40,44,54,48,46,52,50,51,47,49,53,59,41) ; 1 # material use (45,39,37,43,27,21,19,25,42,38,40,44,24,20,22,26,36,30,28,34,32,33,29,31,35,41,23) ; 1 # material use (27,21,19,25,9,3,1,7,24,20,22,26,6,2,4,8,18,12,10,16,14,15,11,13,17,23,5) ← ← ← ← ← ← ------eso:2.Ags,22,15:04 2021, August, 26. version: ← - ← ← ← ← - - - - Jeremićet al., Real-ESSI 57 56 55 54 53 52 51 50 49 48 47 46 45 94 93 92 91 90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71 70 69 68 67 66 65 64 63 62 61 60 59 58 ea *(zeta2*omega2-zeta1*omega1)/(omega2*omega2-omega1*omega1); 2* = beta1 = alpha1 zeta; = zeta2 zeta; = zeta1 2*pi*fq2; = omega2 2*pi*fq1; = omega1 11.25; = fq2 3.75; = fq1 0.0166667; uz; = uy zeta dofs 369 No node fix ...... eeice l nvriyo aiona Davis California, of University ux al. dof Jeremić et 9 # node to 1009 # motion imposed add ... ux dof ... 3 # node to 1003 # motion imposed add ux dof 2 # node to 1002 # motion imposed add ux dof 1 # node to 1001 # motion imposed add "impose_motion; 20; stage # loading element new to 1 # damping 6; add # element 5; ... to # 1 element 4; ... # to # damping 1 element 3; add # to # damping 1 element 2; add # to # damping 1 element 1; add # to # damping 1 element add # to damping 1 add # damping add 1 # damping add 3104 of 2868 page: . . . BEAMS, CANTILEVER 27NODEBRICK 707.13. Notes ESSI "dis.txt = displacement_file 1*m = displacement_scale_unit "acc.txt; = acceleration_file "vel.txt 1*m/s^2 = = velocity_file "dis.txt acceleration_scale_unit 1*m/s = = displacement_file velocity_scale_unit 1*m = displacement_scale_unit "acc.txt; = acceleration_file "vel.txt 1*m/s^2 = = velocity_file "dis.txt acceleration_scale_unit 1*m/s = = displacement_file velocity_scale_unit 1*m = displacement_scale_unit "acc.txt; = acceleration_file "vel.txt 1*m/s^2 = = velocity_file "dis.txt acceleration_scale_unit 1*m/s = = displacement_file velocity_scale_unit 1*m = displacement_scale_unit =Initial_Stiffness; = stiffness_to_use beta1*s = a1 alpha1/s = a0 with Rayleigh type 2*omega1*omega2*(zeta1*omega2-zeta2*omega1)/(omega2*omega2-omega1*omega1); ← - eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI 103 102 101 100 99 98 97 96 95 =0.005*s; = time_step algorithm bye; transient 0.25; using = steps beta 50 0.5 simulate ProfileSPD; = solver gamma define With_no_convergence_check; with algorithm Newmark define integrator dynamic define eeice l nvriyo aiona Davis California, of University al. Jeremić et 3104 of 2869 page: . . . BEAMS, CANTILEVER 27NODEBRICK 707.13. Notes ESSI "acc.txt; = acceleration_file "vel.txt 1*m/s^2 = = velocity_file acceleration_scale_unit 1*m/s = velocity_scale_unit here. downloaded be can example this for files fei/DSL model ESSI The eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI 10 9 8 7 6 5 4 3 2 1 eeice l nvriyo aiona Davis California, of University dofs; 6 with dofs; 0.00*m) 6 0.00*m, with dofs; 3.00*m, 0.00*m) 6 al. Jeremić( et 0.00*m, with dofs; at 2.00*m, 0.00*m) 6 5 ( 0.00*m, with dofs; # at 1.00*m, 0.00*m) 6 node 4 ( 0.00*m, with add # at 20.00*m, 0.00*m) node 3 ( 0.00*m, add # at 0.00*m, node 2 ( add # at node 1 add # node add linear_elastic_isotropic_3d type 1 # material add ; "square_plate name model file: fei/DSL model ESSI model: Numerical 3104 of 2870 page: . . . FOUR PLATE, SQUARE 4NODEANDES Clamped 707.14. Edges description: Four Problem Plate, Square 4NodeANDES 707.14 Notes ESSI =0.3; = poisson_ratio 1e8*N/m^2 = elastic_modulus 1e2*kg/m^3 = mass_density h lmn ielnt s1meter. 1 is length side element The weight. self a is load The are edges four The E=1E8Pa, Force=100N, Height=1m, Width=20m, Length=20m, clamped iue774:Sur lt ihfu de clamped edges four with plate Square 707.42: Figure . ν 0 = eso:2.Ags,22,15:04 2021, August, 26. version: . 3 . Jeremićet al., Real-ESSI 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 eeice l nvriyo aiona Davis California, of University al. Jeremić; et all dofs ; 2 all # dofs use node 1 43) fix # 22, node 41, fix 441, nodes( with 4NodeShell_ANDES material type use 400 157) # 176, element 8, add material 7, use nodes( 138) ... with 157, 4NodeShell_ANDES 7, ... material type 6, use 6 nodes( 119) # with 138, element 4NodeShell_ANDES 6, add material type 5, use 5 nodes( 100) # with 119, element # 4NodeShell_ANDES 5, add material type 4, use 4 nodes( 81) # with 100, element # 4NodeShell_ANDES 4, add material type 3, use 3 nodes( 80) # with 81, element 4NodeShell_ANDES 3, add type 1, 2 nodes( # with element 4NodeShell_ANDES dofs; add type 6 1 with # 0.00*m) element 19.00*m, add 1*m; 19.00*m, = ( dofs; h at 6 441 with # 0.00*m) node 0.00*m, add 4.00*m, ( ... at 6 ... # node add 3104 of 2871 page: . . . FOUR PLATE, SQUARE 4NODEANDES 707.14. Notes ESSI thickness =h; 1 # material thickness=h; 1 # thickness=h; 1 # thickness=h; 1 # thickness=h; 1 # thickness=h; 1 thickness=h; 1 iue774:4oeNE decapdsur lt iheeetsd egh1m length side element with plate square clamped edge 4NodeANDES 707.43: Figure eso:2.Ags,22,15:04 2021, August, 26. version: ← - ← ← ← ← ← ← ------Jeremićet al., Real-ESSI 43 42 41 40 39 38 37 36 35 34 33 32 31 30 57 56 55 54 53 52 51 50 49 48 47 46 45 44 #1; # field 1; acceleration # use field 1; self_weight acceleration # type use field 3 self_weight acceleration 1*m/s^2; # type use = element 2 self_weight az to # type 0*g 3 element 1 = # to # ay load 2 element 0*g add # to = load 1 ax add # 1 load # add field acceleration "self_weight; add stage loading new ; all dofs 80 # node fix ; all ... dofs ; 6 all ... # dofs ; node 5 all fix # dofs ; node 4 all fix # dofs node 3 fix # node fix eeice l nvriyo aiona Davis California, of University al. Jeremić et algorithm; bye; static using steps 1; 1 1; increment simulate # factor field load acceleration define ProfileSPD; use solver ; self_weight define With_no_convergence_check type algorithm 1; 400 define # # field 1; element acceleration # to use field 1; 400 self_weight acceleration # # type use field load 6 self_weight acceleration add # type use element 5 self_weight ... to # type 6 element 4 ... # to # load 5 element add # to load 4 add # load add 3104 of 2872 page: . . . FOUR PLATE, SQUARE 4NODEANDES 707.14. Notes ESSI here. downloaded be can example this for files fei/DSL model ESSI The eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 eeice l nvriyo aiona Davis California, of University al. Jeremić et // linear_elastic_isotropic_3d_LT type 3 # material layer add exterior for //Material linear_elastic_isotropic_3d_LT type 2 # material layer add DRM for //Material linear_elastic_isotropic_3d_LT type 1 # material add soil for //Material ; "DRM name model file: fei/DSL model ESSI model: Numerical 3104 of 2873 page: the for script and format The manual. DSL/input input. in HDF5 available DRM the is in input designated HDF5 be to required are node” ”Boundary MODEL DRM DIMENSIONAL ONE 707.15. description: Model Problem DRM Dimensional One 707.15 Notes ESSI =0.3; = poisson_ratio 1300*MPa = elastic_modulus 2000*kg/m^3 = mass_density 0.3; = poisson_ratio 1300*MPa = elastic_modulus 2000*kg/m^3 = mass_density 0.3; = poisson_ratio 1300*MPa = elastic_modulus 2000*kg/m^3 = mass_density .Te”R lmn” Etro oe and node” ”Exterior element”, ”DRM The Fig.(707.44). in shown is model DRM 1D simple A iue774:1 R model. DRM 1D 707.44: Figure eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 eeice l nvriyo aiona Davis California, of University al. ; Jeremić et uz 50) dofs ; 49, 1 uy 51, # dofs 52, node 1 46, fix # 45, node use 47, fix 7) 48, 33, nodes( // 43, with 23, use 8NodeBrickLT 6, 6) type 34, 34, 12 44, 44, # 24, 24, element ( nodes 2, add with 3, 8NodeBrickLT 4, ... type 1, 2 nodes( # with element 8NodeBrickLT dofs; add type 3 1 with # -5.00*m) element 5.00*m, add 0.00*m, ( dofs; // at 3 52 with dofs; # 5.00*m) 3 node 0.00*m, with dofs; add 5.00*m, 50.00*m) 3 ( 0.00*m, with dofs; ... at 5.00*m, 0.00*m) 3 6 ( 5.00*m, with dofs; ... # at 0.00*m, 0.00*m) 3 node 5 ( 5.00*m, with dofs; add # at 5.00*m, 0.00*m) 3 node 4 ( 0.00*m, with add # at 5.00*m, 0.00*m) node 3 ( 0.00*m, add # at 0.00*m, node 2 ( add # at node 1 add # node add 3104 of 2874 page: MODEL DRM DIMENSIONAL ONE 707.15. Notes ESSI #3; # material use 1; # material 1; # material iue774:1 R model. DRM 1D 707.45: Figure eso:2.Ags,22,15:04 2021, August, 26. version: ← - ← ← - - Jeremićet al., Real-ESSI 53 52 51 50 49 48 47 46 45 44 43 42 41 40 59 58 57 56 55 54 bv a aei hssection. this in made was above 1000:1 model DRM 1D Long 1 # loading method reduction domain "1D; add stage loading new ; ux dofs 51 # ; node uz fix dofs ; 4 uy ... # dofs ; node 4 uz fix # dofs ; node 3 uy fix # dofs ; node 3 uz fix # dofs ; node 2 uy fix # dofs node 2 fix # node fix eeice l nvriyo aiona Davis California, of University al. Jeremić et 0.01*s; 0.25; = = time_step beta algorithm 0.5 bye; transient = using gamma steps with 999 Newmark simulate integrator dynamic define ProfileSPD; solver ; define With_no_convergence_check algorithm define 3104 of 2875 page: MODEL DRM DIMENSIONAL ONE 707.15. Notes ESSI "input.hdf5; = hdf5_file animation. this in . here seen downloaded be be also Fig(707.47). can can in example results shown this The is for which files layers, fei/DSL exterior model the ESSI at The waves outgoing elements. now soil still below. more is Fig.(707.46) far There in use shown model is this view except general model Fig.(707.44) The to DRM same 1D is the description to model similar The (1000:1) model 1D long a explicitly, propagation wave the show To here. downloaded be can 27NodeBrickLT with here. example downloaded this be for can model example same this The for files fei/DSL model ESSI The eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et 3104 of 2876 page: MODEL DRM DIMENSIONAL ONE 707.15. Notes ESSI iue774:Ln DDMmodel DRM 1D Long 707.46: Figure eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et 3104 of 2877 page: MODEL DRM DIMENSIONAL ONE 707.15. Notes ESSI iue774:Ln DDMmdl xeirlayer exterior model: DRM 1D Long 707.47: Figure eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI 13 12 11 10 9 8 7 6 5 4 3 2 1 eeice l nvriyo aiona Davis California, of University al. Jeremić et linear_elastic_isotropic_3d_LT type 2 # material layer add DRM for //Material linear_elastic_isotropic_3d_LT type 1 # material add soil for //Material ; "DRM name model file: fei/DSL model ESSI result: Numerical 3104 of 2878 page: MODEL DRM DIMENSIONAL THREE 707.16. description: Model Problem DRM Dimensional Three 707.16 Notes ESSI =0.3; = poisson_ratio 1300*MPa = elastic_modulus 2000*kg/m^3 = mass_density 0.3; = poisson_ratio 1300*MPa = elastic_modulus 2000*kg/m^3 = mass_density ,teDMlyri sdt d h atqaemotion. earthquake the add to used is layer DRM the Fig.(707.48 ), in shown As iue774:Tedarmfr3 oanRdcinMto example. Method Reduction Domain 3D for diagram The 707.48: Figure eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 eeice l nvriyo aiona Davis California, of University 151) 603, 441, 150, 3, 41, 40, 1, nodes( with al. Jeremić et 8NodeBrickLT dofs; type 3 1 with # -5.00*m) element 55.00*m, add 55.00*m, ( dofs; // at 3 2925 with dofs; # 0.00*m) 3 node 0.00*m, with dofs; add 25.00*m, 0.00*m) 3 ( 0.00*m, with dofs; ... at 20.00*m, 0.00*m) 3 7 ( 0.00*m, with ; dofs ... # at 15.00*m, 0.00*m) 3 node 6 ( 0.00*m, with dofs; add # at 10.00*m, 0.00*m) 3 node 5 ( 0.00*m, with dofs; add # at 5.00*m, 0.00*m) 3 node 4 ( 0.00*m, with add # at 50.00*m, 0.00*m) node 3 ( 0.00*m, add # at 0.00*m, node 2 ( add # at node 1 add # node add // linear_elastic_isotropic_3d_LT type 3 # material layer add exterior for //Material 3104 of 2879 page: MODEL DRM DIMENSIONAL THREE 707.16. Notes ESSI =0.3; = poisson_ratio 1300*MPa = elastic_modulus 2000*kg/m^3 = mass_density iue774:Darmfrte3 R model. DRM 3D the for Diagram 707.49: Figure eso:2.Ags,22,15:04 2021, August, 26. version: ← - Jeremićet al., Real-ESSI 45 44 43 42 41 40 39 38 37 36 35 56 55 54 53 52 51 50 49 48 47 46 ; all dofs 2924 # node fix ; all ... dofs ; 1334 all ... # dofs 2921, node 1332 2923, fix # 2922, node 2924, fix 160) 2925, 684, nodes( // 603, with 151, 8NodeBrickLT 4, type 50, 2352 41, # 3, element nodes( add with 8NodeBrickLT ... type 2 # element add eeice l nvriyo aiona Davis California, of University al. Jeremić et 0.01*s; = time_step 0.25; algorithm = bye; transient beta using 0.5 steps = 999 gamma simulate with Newmark integrator dynamic define ProfileSPD; solver ; define With_no_convergence_check algorithm define 1 # loading method reduction domain "3D; add stage loading new 3104 of 2880 page: MODEL DRM DIMENSIONAL THREE 707.16. Notes ESSI "input.hdf5; = hdf5_file here. downloaded be can 27NodeBrickLT with here. example downloaded this be for can model example same this The for files fei/DSL model ESSI The #3; # material use 2919) 2918, 2920, 1; # material use 1; # material use eso:2.Ags,22,15:04 2021, August, 26. version: ← ← - - Jeremićet al., Real-ESSI 6 5 4 3 2 1 eeice l nvriyo aiona Davis California, of University al. Jeremić et all; dofs dofs; 1 3 # with dofs; node (0*m,0*m,1*m) 3 fix at with 2 (0*m,0*m,0*m) # at node 1 add # node add "pisanoLT; name model file: fei/DSL model ESSI Results point. 3104 load. of 2881 page: model. Pisanó material the test to here . . . MAT PISANO ELEMENT, SHEARBEAM 707.17. description: Material Problem Pisano Element, ShearBeam 707.17 Notes ESSI eutn tessri eainhpi hw nFig.(707.51 ). in shown is relationship stress-strain Resulting used was force element Vertical ShearBeamLT exists. point Gauss one only ”ShearBeamLT”, type element the In F z a sdt pl ofieett h lmn.Te,cci force cyclic Then, element. the to confinement apply to used was iue775:Seremelement. ShearBeam 707.50: Figure eso:2.Ags,22,15:04 2021, August, 26. version: F x sue to used is Jeremićet al., Real-ESSI 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 eeice l nvriyo aiona Davis California, of University al. Jeremić et 0.0005; increment factor load define ux dof 2 # node to 2 # motion imposed add 3e-3; = "test01; gamma_max stage loading algorithm; new static -200*kN; using = steps Fz 100 linear simulate UMFPack; type solver ; 2 define With_no_convergence_check 0.01; # algorithm increment node define factor to load 1 define # load add \ "confinement; 2) stage (1, loading nodes new with ShearBeamLT type 1 # element add New_PisanoLT type 1 # material uy; add dofs 2 # node fix 3104 of 2882 page: . . . MAT PISANO ELEMENT, SHEARBEAM 707.17. Notes ESSI "input_sine.txt; = acceleration_file "input_sine.txt gamma_max*m/s^2 = = velocity_file "input_sine .txt" acceleration_scale_unit gamma_max*m/s = = displacement_file velocity_scale_unit gamma_max*m = displacement_scale_unit 0.7 1e-6; = = m_in eplcum_cr_in 700 0.0 = = h_in a_in 0.0 0 = = xi_in n_in 0.0 0*kPa = = kd_in 0.3 initial_confining_stress 1.4 = = poisson_ratio M_in 325*MPa = elastic_modulus_1atm 2000*kg/m^3 = mass_density #1; # material use 1*m^2 = cross_section iue775:Sersrs-tanresponse. stress-strain Shear 707.51: Figure eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI 38 37 36 35 34 algorithm; bye; static using steps 2000 simulate UMFPack; solver define With_no_convergence_check; algorithm define eeice l nvriyo aiona Davis California, of University al. Jeremić et 3104 of 2883 page: . . . MAT PISANO ELEMENT, SHEARBEAM 707.17. Notes ESSI here. downloaded be can example this for files fei/DSL model ESSI The eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI 8 7 6 5 4 3 2 1 eeice l nvriyo aiona Davis California, of University al. Jeremić et 973; = cr 1000; = ha 5; = phi Parameters: // Jose. by "druckeraf; created name is model model Frederick This Armstrong // Prager Drucker // file: fei/DSL model ESSI Results and 3104 confinement of is 2884 stage page: loading first shearing. The is loading. stage of loading stages second two the are there And 8NodeBrickLT. is type description: Problem . . . ELEMENT, 8NODEBRICKLT 707.18. Armstrong- Material, Drucker-Prager Element, 8NodeBrickLT 707.18 Notes ESSI eutn tessri eainhpi hw nFig.(707.52). in shown is relationship stress-strain state. Resulting stress same the has point Gauss each that such designed specially is condition boundary The element The strains. against G/Gmax as such properties, materials the test to used is example This rdrc oainlKnmtcHardening Kinematic Rotational Frederick

Shear Stress, τxz [KPa] 150 100 100 150 50 50 0 0.6 iue775:Sersrs-tanresponse. stress-strain Shear 707.52: Figure DPAF 0.4 S 0.2 h e a r

S t r 0.0 a i n ,

γ x z

[ 0.2 % ] 0.4 eso:2.Ags,22,15:04 2021, August, 26. version: 0.6 Jeremićet al., Real-ESSI 22 21 20 19 18 17 16 15 14 13 12 11 10 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 9 u=(M-2*G)/(2*-2*G); = nu G*(3*M-4*G)/(-G); = E rho*vp^2; = M rho*vs^2; = G 250*kPa; = p0 rho=2000*kg/m^3; vs=500*m/s; vp=1000*m/s; H=1; 1000; = Nsteps 5; = Ncyc eeice l nvriyo aiona Davis California, of University to dof 8 # node to slave dof and 4 3 # # al. node Jeremić et node slave master and to with 3 dof dof # 7 equal node # constraint master node add to with slave dof dof and 6 equal 2 # constraint # node add to node slave dof master and 3 with 2 # dof # node equal node slave constraint master and add with 2 dof # equal node directions constraint master three add with in dof freedom equal of dofs; constraint degree 3 add equal with dofs; add (0*m,1*m,0*m) 3 // at with dofs; 8 (1*m,1*m,0*m) 3 # at with dofs; node 7 (1*m,0*m,0*m) 3 add # at with node 6 (0*m,0*m,0*m) add # at dofs; node 5 3 add # with dofs; node (0*m,1*m,1*m) 3 add at with dofs; 4 (1*m,1*m,1*m) 3 # at with dofs; node 3 (1*m,0*m,1*m) 3 add # at with node 2 (0*m,0*m,1*m) add # at node 1 add # node node: add the define // DruckerPragerArmstrongFrederickLT type 1 # material material: add the Define // 6*sin(phirad)/(3-sin(phirad)); = M pi*phi/180; = phirad 1.0; = K0 3104 of 2885 page: . . . ELEMENT, 8NODEBRICKLT 707.18. 0.01; = gam Notes ESSI uy; constrain ux; constrain ux; constrain ux; constrain =1*Pa; = initial_confining_stress 0*E = isotropic_hardening_rate cr*Pa = armstrong_frederick_cr ha*Pa = armstrong_frederick_ha M = druckerprager_k nu = poisson_ratio E = elastic_modulus 0*kg/m^3 = mass_density eso:2.Ags,22,15:04 2021, August, 26. version: ← ← ← ← ← - - - - - Jeremićet al., Real-ESSI 100 63 62 61 60 59 58 57 56 99 98 97 96 95 94 93 92 91 90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71 70 69 68 67 66 65 64 Norm_Displacement_Increment test convergence define use 8) 6,7, 5, 4, , 2,3 (1, nodes to with dof 8NodeBrickLT 4 type # 1 node # to slave element dof element. and add 3 the 1 # Define # node // to node slave dof master and 2 with 1 # dof # node equal node slave constraint master and add to with 1 dof dof # 7 equal node # constraint master node add with slave dof and equal 3 constraint # add node master with dof equal constraint add eeice l nvriyo aiona Davis California, of University al. Jeremić et UMFPack; sigma_y*m^2/4; solver = define 1/Nsteps_static; Fy sigma_y*m^2/4; increment linear = factor type Fy sigma_y*m^2/4; load 4 linear = define # type Fy sigma_y*m^2/4; node 8 linear = Nsteps_static=100; to # type Fy 12 node 7 linear # to # type sigma_x*m^2/4; load 11 node 3 = add # to # Fx sigma_x*m^2/4; load 10 node linear = add # to type Fx sigma_x*m^2/4; load 9 3 linear = add # # type Fx sigma_x*m^2/4; load node 7 linear = add to # type Fx 8 node 6 linear # to # type load 7 node 2 add # to # sigma_z*m^2/4; load 6 node = add # to Fz sigma_z*m^2/4; load 5 linear = add # type Fz sigma_z*m^2/4; load 4 linear = add # type Fz sigma_z*m^2/4; node 3 linear = //X-face to # type Fz 4 node 2 linear # to # type load 3 node 1 add # to # load 2 node add # to load 1 add # load add //Z-face K0*sigma_z; = sigma_y K0*sigma_z; = sigma_x -3*p0/(1+2*K0); uz; = ux sigma_z dofs 8 uz; # dofs uz; node 7 uy uz; fix # dofs uy node 6 ux fix # dofs node 5 fix # node ux; fix dofs 4 uy; # dofs uy; node 2 ux fix # dofs node 1 fix # node "confinement; fix stage loading new 3104 of 2886 page: . . . ELEMENT, 8NODEBRICKLT 707.18. Notes ESSI #1; # material uz; constrain uz; constrain uz; constrain uy; constrain uy; constrain eso:2.Ags,22,15:04 2021, August, 26. version: ← ← ← ← ← - - - - - Jeremićet al., Real-ESSI 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131 130 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 113 112 111 110 109 108 107 106 105 104 103 102 101 Norm_Displacement_Increment test convergence define UMFPack; solver define 1/Nsteps; increment factor load define } { while(n<=1) 1; to = dof 8; n 2 # # node 7; node equaldof to # slave constraint dof node 6; and remove 4 equaldof # 1 # constraint node # node remove equaldof to node slave constraint dof master and remove 3 with 1 # dof # node equal node slave constraint master and add with 1 dof # equal node constraint master add with dof equal constraint uy; add dofs uy; 8 ux # dofs node 7 ux; fix # dofs node 6 uy; fix # dofs node 3 ux; fix # dofs node 4 ux; from_reactions; fix # dofs type node 1 4 from_reactions; free # # type node node 1 free to # 14 node # to load 13 add # load add forces; reaction "shearing; compute stage loading new algorithm; static using steps Nsteps_static simulate Euler_One_Step algorithm integration constitutive NDMaterialLT define ; Newton algorithm define eeice l nvriyo aiona Davis California, of University al. Jeremić et 3104 of 2887 page: . . . ELEMENT, 8NODEBRICKLT 707.18. Notes ESSI ux; constrain ux; constrain ux; constrain ebs_ee 4; = verbose_level 100 = maximum_iterations 1e-5 = tolerance path_time_series type n n+=1; # node to 14+n # load add 1000; = maximum_iterations 0.002 = stress_relative_tolerance 0.002 = yield_function_relative_tolerance 4; = verbose_level 100 = maximum_iterations 1e-6 = tolerance "path.txt; = series_file 170.*kN = Fx eso:2.Ags,22,15:04 2021, August, 26. version: ← ← ← - - - Jeremićet al., Real-ESSI 158 157 156 155 154 153 152 151 150 149 algorithm; bye; static using steps Ncyc*Nsteps simulate Euler_One_Step algorithm integration constitutive NDMaterialLT define ; Newton algorithm define eeice l nvriyo aiona Davis California, of University al. Jeremić et 3104 of 2888 page: . . . ELEMENT, 8NODEBRICKLT 707.18. Notes ESSI here. downloaded be can example this for files fei/DSL model ESSI The aiu_trtos=1000; = maximum_iterations 0.002 = stress_relative_tolerance 0.0002 = yield_function_relative_tolerance eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 eeice l nvriyo aiona Davis California, of University al. Jeremić et file: fei/DSL model ESSI intial with loading monotonic under Problem Contact Normal Bar Two gap of Illustration 707.53: Figure below. shown is statement 3104 problem of the 2889 of diagram page: illustrative An unit. 0.1 of gap initial an by separated . Loading. . STATIC . Monotonic UNDER Under ELEMENT CONTACT Problem Contact 707.19. Normal Loading Bar Static Two Under Element Contact 707.19 Notes ESSI (2,3) nodes with = FrictionalPenaltyContact cross_section type 1 #3 # element Element material add = Contact use cross_section Adding (3,4) 1 // nodes # with material truss use type (1,2) #2 nodes element with add truss type #1 element Elements add Truss ; Adding uz // uy ; dofs uz #3 uy uz; node dofs uy fix #2 ux uz; node dofs uy fix #4 ux node dofs fix #1 node dofs; fix Fixities 3 Adding with dofs; // (2.1*m,0*m,0*m) 3 at with dofs; #4 (1.1*m,0*m,0*m) 3 node at with dofs; add #3 (1*m,0*m,0*m) 3 node at with add #2 (0*m,0*m,0*m) node at add #1 node add Nodes Adding 1*Pa // = elastic_modulus uniaxial_elastic type #1 material add material Adding // ; "Two_Bar_Contact_Under_Normal_Monotonic_Loading name model =0.3 = friction_ratio 0*kN/m*s = tangential_damping 0*kN/m*s = normal_damping 1e10*Pa*m = tangential_stiffness =1e10*N/m normal_stiffness hsi neapeo omlmntnclaigo - otc/nefc ewe w bars two between contact/interface 1-D a on loading monotonic normal of example an is This =1*kg/m^3; = mass_density 1*m^2 1*kg/m^3; = mass_density 1*m^2 0*Pa*s; = viscoelastic_modulus eso:2.Ags,22,15:04 2021, August, 26. version: ← - ← ← - - Jeremićet al., Real-ESSI 42 41 40 39 38 37 36 35 34 33 32 31 30 29 49 48 47 46 45 44 43 eeice l nvriyo aiona Davis California, of University al. Jeremić et 3104 of 2890 page: . . STATIC . UNDER ELEMENT CONTACT 707.19. Notes ESSI "Adding_Normal_Load; stage loading new bye; Norm_Displacement_Increment test convergence define 5e-12; 0.3*N; = = tol Fx linear 10; type = #2 Nsteps node to #1 load add (1,0,0); = contact_plane_vector algorithm; static using steps 1/Nsteps; Nsteps increment simulate factor load define UMFPack; solver define Newton; algorithm define here. downloaded be can example this for files fei/DSL model ESSI The of output displacement The ebs_ee 4; = verbose_level 10 = maximum_iterations tol = tolerance iue775:Dslcme fNds2ad3 and 2 Nodes of Displacemnet 707.54: Figure oe2adNd 3 Node and 2 Node r hw below. shown are eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et file: fei/DSL model ESSI Under Force Shear and Normal gap With initial Problem no Contact with Normal Loading Bar Monotonic Four of Illustration 707.55: Figure gap=0). (initial contact in are x-directions contacts/inter- in of 3104 bars of case) The 2891 slip and page: plane. (stick 2-D behaviour in tangential bars and four normal using the faces show to example an is . . This . WITH PROBLEM CONTACT Under BAR Force FOUR Shear 707.20. and Normal With Problem Contact Bar Four 707.20 Notes ESSI oooi Loading Monotonic eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI 13 12 11 10 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 9 8 7 6 5 4 3 2 1 eeice l nvriyo aiona Davis California, of University al. Jeremić et 3104 of 2892 page: . . . WITH PROBLEM CONTACT BAR FOUR 707.20. Notes ESSI dofs; 3 with dofs; (1*m,1*m,0*m) 3 at with dofs; #6 (1*m,-1*m,0*m) 3 node at with add #5 (2*m,0*m,0*m) node at add #4 node add "Normal_Loading; stage loading ; new uz dofs ; ; #3 uz uz node dofs uy ; fix #2 ux uz node dofs uy ; fix #6 ux uz node dofs uy ; fix #5 ux uz node dofs uy fix #4 ux node dofs fix #1 node fix Fixities Adding // (2,3) nodes with = FrictionalPenaltyContact cross_section type 1 #5 # element Element material add = Contact use cross_section Adding (2,6) 1 // nodes # with material = truss use cross_section type (3,5) 1 #4 nodes # element with material add = truss use cross_section type (3,4) 1 #3 nodes # element with material add truss use type (1,2) #2 nodes element with add truss type #1 element Elements add Truss Adding // dofs; 3 with dofs; (1*m,0*m,0*m) 3 at with dofs; #3 (1*m,0*m,0*m) 3 node at with add #2 (0*m,0*m,0*m) node at add #1 node add Nodes Adding 1*Pa // = elastic_modulus uniaxial_elastic type #1 material add material Adding // "Four_Bar_Contact_Under_Monotonic_Normal_and_Shear_Loading; name model =0.1*N; Norm_Displacement_Increment = test Fx convergence linear define 1e-10; type = #2 tol node to #1 load add (1,0,0); = contact_plane_vector 0.4 = friction_ratio 0*N/m*s = tangential_damping 0*N/m*s = normal_damping 1e12*N/m = tangential_stiffness 1e12*N/m = normal_stiffness ebs_ee 4; = verbose_level 10 = maximum_iterations tol = tolerance =1*kg/m^3; = mass_density 1*m^2 1*kg/m^3; = mass_density 1*m^2 1*kg/m^3; = mass_density 1*m^2 1*kg/m^3; = mass_density 1*m^2 0*Pa*s; = viscoelastic_modulus eso:2.Ags,22,15:04 2021, August, 26. version: ← - ← ← ← ← - - - - Jeremićet al., Real-ESSI 59 58 57 56 55 54 53 52 51 50 49 48 47 46 71 70 69 68 67 66 65 64 63 62 61 60 eeice l nvriyo aiona Davis California, of University al. Jeremić et 3104 of 2893 page: . . . WITH PROBLEM CONTACT BAR FOUR 707.20. Notes ESSI "Shear_Loading; stage loading new bye; =0.2*N; Norm_Displacement_Increment = test Fy convergence linear define 1e-10; type = #2 tol node to #2 load add algorithm; static using steps 1/Nsteps; Nsteps increment simulate factor load define UMFPack; solver define 10; Nsteps= Newton; algorithm define algorithm; static using steps 1/Nsteps; Nsteps increment simulate factor load define UMFPack; solver define 100; Nsteps= Newton; algorithm define here. downloaded be can example this for files fei/DSL model ESSI The of output displacement The ebs_ee 4; = verbose_level 10 = maximum_iterations tol = tolerance oe2adNd 3 Node and 2 Node r hw below. shown are eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et 3104 of 2894 page: . . . WITH PROBLEM CONTACT BAR FOUR 707.20. Notes ESSI iue775:Dslcme fNds2ad3aogydirection y along 3 and 2 Nodes of Displacemnet 707.56: Figure eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 eeice l nvriyo aiona Davis California, of University al. Jeremić et file: fei/DSL model ESSI and 0.5N of z-direction plane in x-y loading in confinement 0.5N with of loading Problem shear Truss then 3-D of Illustration 707.57: Figure 3104 of 2895 page: problem. of z-direction . . in . NORMAL confinement WITH Normal EXAMPLE µ with TRUSS Loading 3-D example Shear truss and 707.21. 3-D confinement simple normal A with example Truss 3-D 707.21 Notes ESSI 0 = dofs; 3 with dofs; (-1*m,0*m,0*m) 3 at with dofs; #3 (0*m,0*m,0*m) 3 node at with add #2 (0*m,0*m,0*m) node at add #1 node add Nodes Adding 1*Pa // = elastic_modulus uniaxial_elastic type #1 material add material Adding // ; "3-D_Contact_Under_Normal_And_Tangential_Loading name model = cross_section 1 # material = use cross_section (2,4) 1 nodes # with material truss use type (2,3) #2 nodes element with add truss type #1 element Elements add Truss uz; Adding uy // ux uz; dofs uy #5 ux uz; node dofs uy fix #4 ux uz; node dofs uy fix #3 ux node dofs fix #1 node dofs; fix Fixities 3 Adding with dofs; // (0*m,0*m,1*m) 3 at with #5 (0*m,1*m,0*m) node at add #4 node add . 2 n ha odn fmagnitude of loading shear and =0*Pa*s; = viscoelastic_modulus =1*kg/m^3; = mass_density 1*m^2 F s 0 = . 5 N blw hw h ecito fthe of description the shows below, 707.57 Figure . F N eso:2.Ags,22,15:04 2021, August, 26. version: 0 = . 5 ← N - rcincoefficient friction , ← ← - - Jeremićet al., Real-ESSI 33 32 31 30 29 28 27 26 25 24 23 22 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 eeice l nvriyo aiona Davis California, of University al. Jeremić et 3104 of 2896 page: . . . NORMAL WITH EXAMPLE TRUSS 3-D 707.21. Notes ESSI "Adding_Normal_Load; stage loading new (0,0,1); = contact_plane_vector 0.2 = friction_ratio 0*kN/m*s = tangential_damping 0*kN/m*s = (1,2) normal_damping 1e10*Pa*m nodes = with tangential_stiffness = FrictionalPenaltyContact cross_section =1e10*N/m type 1 normal_stiffness #4 # element Element material add Contact use Adding (2,5) // nodes with truss type #3 element add algorithm; bye; static using steps 1/Nsteps; Nsteps increment simulate factor load define UMFPack; solver define 20; Nsteps= Newton; algorithm define 0.3; Norm_Displacement_Increment = test Fy 0.4; convergence linear = define 1e-12; type Fx = #2 linear tol node type to #2 #3 node load to add #2 load add "Shear_Loading; stage loading algorithm; new static using steps 1/Nsteps; Nsteps increment simulate factor load define UMFPack; solver define Newton; algorithm define Norm_Displacement_Increment test convergence define 1e-10; -0.5*N; = = tol Fz linear 1; type = #2 Nsteps node to #1 load add ebs_ee 4; = verbose_level 10 = maximum_iterations tol = tolerance 4; = verbose_level 1 = maximum_iterations tol = tolerance =1*kg/m^3; = mass_density 1*m^2 1*kg/m^3; = mass_density 1*m^2 eso:2.Ags,22,15:04 2021, August, 26. version: ← - Jeremićet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et step. load tangential shear applied with element contact/interface the by force Resisting 707.59: Figure 3104 of 2897 page: . . . NORMAL WITH EXAMPLE TRUSS 3-D 707.21. Notes ESSI h eeaie ipaeetrsos ftetneta odn tg ssonbelow. shown is stage loading tangential the of response displacement generalized The here . downloaded be can example this for files fei/DSL model ESSI The

Time Steps Time Steps 10 12 14 16 18 20 10 12 14 16 18 20 0 2 4 6 8 0 2 4 6 8 0 0 iue775:Dslcmnso oe2wt ple ha agnilla step. load tangential shear applied with 2 Node of Displacements 707.58: Figure 0.01 0.05 Displacment inxdirectionU 0.02 0.1 Force inxdirectionF 0.03 0.15 0.04 0.2 0.05 x [N] 0.25 x [m] 0.06 0.3 0.07 0.08 0.35

Time Steps Time Steps 10 12 14 16 18 20 10 12 14 16 18 20 0 2 4 6 8 0 2 4 6 8 0 0 0.01 0.05 Displacment inydirectionU Force inydirectionF 0.02 0.1 0.03 eso:2.Ags,22,15:04 2021, August, 26. version: 0.15 0.04 y [N] y [m] 0.2 0.05 0.06 0.25 Jeremićet al., Real-ESSI 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 eeice l nvriyo aiona Davis California, of University al. Jeremić et file: fei/DSL then model and ESSI normal first having Contact with Example Blocks Solid stages. Six loading tangential of Illustration 707.60: Figure 3104 of 2898 page: as surfaces different on load tangential then and normal . . initial . WITH withi EXAMPLE example below. BLOCKS block shown SOLID solid SIX 3-D Contact 707.22. a With is Example This Blocks Solid Six 707.22 Notes ESSI Nodes Adding // material Adding // "Six_Solid_Blocks_Example_With_Contact; name model dofs; 3 with dofs; (-0.500000*m,0.500000*m,-2.000000*m) 3 at with dofs; 13 (0.500000*m,0.500000*m,0.000000*m) 3 # at with dofs; node 12 (-0.500000*m,0.500000*m,0.000000*m) 3 add # at with dofs; node 11 (0.500000*m,-0.500000*m,0.000000*m) 3 add # at with dofs; node 10 (-0.500000*m,-0.500000*m,0.000000*m) 3 add # at with dofs; node 9 (1.500000*m,-0.500000*m,-2.000000*m) 3 add # at with dofs; node 8 (1.500000*m,0.500000*m,-2.000000*m) 3 add # at with dofs; node 7 (-1.500000*m,0.500000*m,-2.000000*m) 3 add # at with dofs; node 6 (-1.500000*m,-0.500000*m,-2.000000*m) 3 add # at with dofs; node 5 (1.500000*m,0.500000*m,0.000000*m) 3 add # at with dofs; node 4 (1.500000*m,-0.500000*m,0.000000*m) 3 add # at with dofs; node 3 (-1.500000*m,0.500000*m,0.000000*m) 3 add # at with node 2 (-1.500000*m,-0.500000*m,0.000000*m) add # at node 1 add # node add mass_density=2000*kg/m^3 linear_elastic_isotropic_3d_LT type #1 material add poisson_ratio=0.3; elastic_modulus=200*MPa eso:2.Ags,22,15:04 2021, August, 26. version: ← - Jeremićet al., Real-ESSI 34 33 32 31 30 29 28 27 26 25 24 23 22 21 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 eeice l nvriyo aiona Davis California, of University al. Jeremić et 3104 of 2899 page: . . . WITH EXAMPLE BLOCKS SOLID SIX 707.22. Notes ESSI Element Contact Adding // variables some //Adding Elements Brick Node 8 Solid Adding // dofs; 3 with dofs; (0.500000*m,-0.500000*m,0.000000*m) 3 at with 26 (-0.500000*m,-0.500000*m,0.000000*m) # at dofs; node 25 3 add # with dofs; node (0.500000*m,-0.500000*m,-1.000000*m) 3 add at with dofs; 24 (-0.500000*m,-0.500000*m,-1.000000*m) 3 # at with dofs; node 23 (0.500000*m,0.500000*m,-1.000000*m) 3 add # at with dofs; node 22 (-0.500000*m,0.500000*m,-1.000000*m) 3 add # at with dofs; node 21 (1.500000*m,-0.500000*m,-1.000000*m) 3 add # at with dofs; node 20 (1.500000*m,0.500000*m,-1.000000*m) 3 add # at with dofs; node 19 (-1.500000*m,0.500000*m,-1.000000*m) 3 add # at with dofs; node 18 (-1.500000*m,-0.500000*m,-1.000000*m) 3 add # at with dofs; node 17 (-0.500000*m,-0.500000*m,-2.000000*m) 3 add # at with dofs; node 16 (0.500000*m,-0.500000*m,-2.000000*m) 3 add # at with node 15 (0.500000*m,0.500000*m,-2.000000*m) add # at node 14 add # node add (9,25) nodes with FrictionalPenaltyContact type #7 element add ratio friction damping // penalty 0.4; tangential damping = // penalty nu 0*N/m*s; normal stiffness = // penalty Ct 0*N/m*s; tangential stiffness = // penalty Cn 1e12*N/m; normal = // Kt 1e12*N/m; = Kn use (7,8,15,14,19,20,24,22) nodes with 8NodeBrickLT use type (19,20,24,22,4,3,10,12) #6 nodes element with add 8NodeBrickLT use type (14,15,16,13,22,24,23,21) #5 nodes element with add 8NodeBrickLT use type (30,32,31,29,28,26,25,27) #4 nodes element with add 8NodeBrickLT use type (13,16,5,6,21,23,17,18) #3 nodes element with add 8NodeBrickLT use type (21,23,17,18,11,9,1,2) #2 nodes element with add 8NodeBrickLT type #1 dofs; element 3 add with dofs; (0.500000*m,-0.500000*m,-1.000000*m) 3 at with dofs; 32 (-0.500000*m,-0.500000*m,-1.000000*m) 3 # at with dofs; node 31 (0.500000*m,0.500000*m,-1.000000*m) 3 add # at with node 30 (-0.500000*m,0.500000*m,-1.000000*m) add # at dofs; node 29 3 add # with dofs; node (0.500000*m,0.500000*m,0.000000*m) 3 add at with 28 (-0.500000*m,0.500000*m,0.000000*m) # at node 27 add # node add =(1,0,0); = contact_plane_vector nu = friction_ratio Ct = tangential_damping Cn = normal_damping Kt = tangential_stiffness Kn = normal_stiffness #1; material #1; material #1; material #1; material #1; material #1; material eso:2.Ags,22,15:04 2021, August, 26. version: ← ← ← ← - - - - ← ← - - Jeremićet al., Real-ESSI 116 115 114 113 112 111 110 109 108 107 106 105 104 103 102 101 100 79 78 77 76 75 74 73 72 71 70 69 68 67 66 99 98 97 96 95 94 93 92 91 90 89 88 87 86 85 84 83 82 81 80 eeice l nvriyo aiona Davis California, of University al. Jeremić et 3104 of 2900 page: . . . WITH EXAMPLE BLOCKS SOLID SIX 707.22. Notes ESSI (11,27) nodes with FrictionalPenaltyContact type #9 element add (10,26) nodes with FrictionalPenaltyContact type #8 element add (24,32) nodes with FrictionalPenaltyContact type #14 element add (23,31) nodes with FrictionalPenaltyContact type #13 element add (22,30) nodes with FrictionalPenaltyContact type #12 element add (21,29) nodes with FrictionalPenaltyContact type #11 element add (12,28) nodes with FrictionalPenaltyContact type #10 element add =Kn = normal_stiffness (1,0,0); = contact_plane_vector nu = friction_ratio Ct = tangential_damping Cn = normal_damping Kt = tangential_stiffness Kn = normal_stiffness (-1,0,0); = contact_plane_vector nu = friction_ratio Ct = tangential_damping Cn = normal_damping Kt = tangential_stiffness Kn = normal_stiffness Ct = tangential_damping Cn = normal_damping Kt = tangential_stiffness Kn = normal_stiffness (-1,0,0); = contact_plane_vector nu = friction_ratio Ct = tangential_damping Cn = normal_damping Kt = tangential_stiffness Kn = normal_stiffness =(1,0,0); = contact_plane_vector nu = friction_ratio Ct = tangential_damping Cn = normal_damping Kt = tangential_stiffness Kn = normal_stiffness (-1,0,0); = contact_plane_vector nu = friction_ratio Ct = tangential_damping Cn = normal_damping Kt = tangential_stiffness Kn = normal_stiffness (1,0,0); = contact_plane_vector nu = friction_ratio eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI 167 166 165 164 163 162 161 160 159 158 157 156 155 154 153 152 151 150 149 148 147 146 145 144 143 142 141 140 139 138 137 136 135 134 133 132 131 130 129 128 127 126 125 124 123 122 121 120 119 118 117 eeice l nvriyo aiona Davis California, of University al. Jeremić et 3104 of 2901 page: . . . WITH EXAMPLE BLOCKS SOLID SIX 707.22. Notes ESSI Fixities Adding // u uy; ux dofs uy; #2 ux node dofs uy; fix #1 ux node dofs uy; fix #18 ux uz; node dofs uy fix #17 ux uz; node dofs uy fix #8 ux uz; node dofs uy fix #7 ux uz; node dofs uy fix #14 ux uz; node dofs uy fix #15 ux uz; node dofs uy fix #16 ux uz; node dofs uy fix #13 ux uz; node dofs uy fix #6 ux node dofs fix #5 node fix (24,32) nodes with FrictionalPenaltyContact type #18 element add (23,31) nodes with FrictionalPenaltyContact type #17 element add (22,30) nodes with FrictionalPenaltyContact type #16 element add (21,29) nodes with FrictionalPenaltyContact type #15 element add =(0,0,1); = contact_plane_vector nu = friction_ratio Ct = tangential_damping Cn = normal_damping Kt = tangential_stiffness Kn = normal_stiffness (0,0,1); = contact_plane_vector nu = friction_ratio Ct = tangential_damping Cn = normal_damping Kt = tangential_stiffness Kn = normal_stiffness (0,0,1); = contact_plane_vector nu = friction_ratio Ct = tangential_damping Cn = normal_damping Kt = tangential_stiffness Kn = normal_stiffness (0,0,1); = contact_plane_vector nu = friction_ratio Ct = tangential_damping Cn = normal_damping Kt = tangential_stiffness Kn = normal_stiffness (-1,0,0); = contact_plane_vector nu = friction_ratio Ct = tangential_damping Cn = normal_damping Kt = tangential_stiffness eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI 216 215 214 213 212 211 210 209 208 207 206 205 204 203 202 201 200 199 198 197 196 195 194 193 192 191 190 189 188 187 186 185 184 183 182 181 180 179 178 177 176 175 174 173 172 171 170 169 168 eeice l nvriyo aiona Davis California, of University al. Jeremić et 3104 of 2902 page: . . . WITH EXAMPLE BLOCKS SOLID SIX 707.22. Notes ESSI "Shear_Loading; stage loading new "Normal_Loading; stage loading new Newton ; algorithm define magnitude Norm_Displacement_Increment with test (26,28,30,32) convergence nodes define 1e-12; at = surface tol type #3 element to #2 load add algorithm; static using steps 1/Nsteps; Nsteps increment simulate factor load define UMFPack; solver define 10; Nsteps= Newton; algorithm define magnitude Norm_Displacement_Increment with test (25,26,27,28) convergence nodes define 1e-12; at = surface tol type #3 element to #1 load add uy; dofs #32 uy; node dofs fix #31 uy; node dofs fix #30 uy; node dofs fix #29 uy; node dofs fix #28 uy; node dofs fix #27 uy; node dofs fix #26 uy; node dofs fix #25 uy; node dofs fix #22 uy; node dofs fix #12 uy; node dofs fix #21 uy; node dofs fix #11 uy; node dofs fix #24 uy; node dofs fix #23 uy; node dofs fix #10 uy; node dofs uy; fix #9 ux node dofs uy; fix #4 ux node dofs uy; fix #3 ux node dofs uy; fix #19 ux node dofs fix #20 node fix ebs_ee 4; = verbose_level 100 = maximum_iterations tol = tolerance 4; = verbose_level 100 = maximum_iterations tol = tolerance (-1*Pa); (-1*Pa); eso:2.Ags,22,15:04 2021, August, 26. version: ← ← - - Jeremićet al., Real-ESSI 223 222 221 220 219 218 217 ing eeice l nvriyo aiona Davis California, of University al. Jeremić et 3104 of 2903 page: . . . WITH EXAMPLE BLOCKS SOLID SIX 707.22. Notes ESSI bye; algorithm; static using steps 1/Nsteps; Nsteps increment simulate factor load define UMFPack; solver define 10; Nsteps= h eeaie ipaeetfil ftetolaigstages loading two the of field displacement generalized The ssonbelow.. shown is iue776:Gnrlzddslcmn antd iulzto ftneta loading tangential of visualization magnitude displacement Generalized 707.62: Figure iue776:Gnrlzddslcmn antd iulzto fnra loading normal of visualization magnitude displacement Generalized 707.61: Figure omlloading normal eso:2.Ags,22,15:04 2021, August, 26. version: and agnia load- tangentiual Jeremićet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et 3104 of 2904 page: . . . WITH EXAMPLE BLOCKS SOLID SIX 707.22. Notes ESSI here. downloaded be can example this for files fei/DSL model ESSI The eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 eeice l nvriyo aiona Davis California, of University al. Jeremić et DruckerPragerArmstrongFrederickLT type 1 # material add nu=0.3; 6*sin(phirad)/(3-sin(phirad)); = M pi*phi/180; = phirad confinstress*Pa; = p0 G=12388.33; confinstress=9.8*depth*rho; depth=0.1524/2; ; rho=1922.5 1854.31984573; = cr 2.94767923453; = ha 0.0135713590083; = phi Parameters: ; // "GGmax name model file: fei/DSL model ESSI 3104 of 2905 page: PLOT G/GMAX FOR MODEL SHEAR PURE plot 707.23. G/Gmax description: for Problem model shear Pure 707.23 Notes ESSI h uesermdlfrGGa plot G/Gmax for model shear pure The =cr*Pa = armstrong_frederick_cr ha*Pa = armstrong_frederick_ha M = druckerprager_k nu = poisson_ratio 2*G*(1+nu)*Pa = elastic_modulus rho*kg/m^3 = mass_density iue776:Tepr ha oe o a ofimn n b shearing (b) and confinment (a) for model shear pure The 707.63: Figure (a) (b) eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI 36 35 34 33 32 31 30 29 28 27 26 25 24 23 73 72 71 70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 u ; dofs; uy 2,4,6,8 1; 3 dofs node # with dofs; 2 for material *m) 3 # direction use 1.0000 with node dofs; y nodes(1,2,3,4,5,6,7,8) *m, *m) fix 3 the with 1.0000 1.0000 with fix dofs; 8NodeBrickLT *m, *m, *m) // 3 type 2.0000 2.0000 1.0000 with dofs; 1 ( *m, *m, *m) 3 # at 1.0000 1.0000 1.0000 with element dofs; 8 ( *m, *m, *m) add 3 # at 0.0000 0.0000 0.0000 with node dofs; 7 ( *m, *m, *m) add 3 # at 1.0000 1.0000 0.0000 with node dofs; 6 ( *m, *m, *m) add 3 # at 2.0000 2.0000 0.0000 with node 5 ( *m, *m, *m) add # at 1.0000 1.0000 0.0000 node 4 ( *m, *m, add # at 0.0000 0.0000 node 3 ( *m, add # at 1.0000 node 2 ( add # at node 1 add # node add eeice l nvriyo aiona Davis California, of University al. Jeremić et Norm_Displacement_Increment test convergence define ProfileSPD; 1/Nsteps; p0 *m^2; solver increment - define factor Fz= p0 *m^2; load linear - define solver type Fz= p0 *m^2; and 8 linear - Nsteps=100; algorithm # type Fz= p0*m^2; add node 7 linear - // to # type Fz= 108 node 6 linear # to # type load 107 node 5 p0*m^2; add # to # Fz= load 106 node linear p0*m^2; add # to type Fz= load 105 4 linear p0*m^2; add # # type Fz= load node 3 linear p0*m^2; add to # type Fz= 104 node 2 linear # to # type load 103 node 1 add # to # p0*m^2; load 102 node - add # to Fx= load 101 linear p0*m^2; add # direction type Fx= p0*m^2; load z 8 linear - add at # type Fx= confinement node 6 linear p0*m^2; // to # type Fx= 8 node 4 linear # to # type p0*m^2; load 7 node 2 - add # to # Fy= load 6 node linear p0*m^2; add # to type Fy= p0*m^2; load 5 7 linear - add # # type Fy= load node 5 linear p0*m^2; add to # type Fy= 4 node 3 linear # to # type load 3 node 1 add # to # load 2 node add # to load 1 add # load "confinement; add stage ; loading confinement ux new 1: dofs ; Stage 7 ux // # dofs ; node 5 ux fix # dofs ; node 3 ux 1,3,5,7 fix # dofs node node 1 for fix # direction ; node x uy fix the dofs ; fix 8 uy // # dofs ; node 6 uy fix # dofs node 4 fix # node fix 3104 of 2906 page: PLOT G/GMAX FOR MODEL SHEAR PURE 707.23. Notes ESSI =10*Pa; = initial_confining_stress 0*Pa = isotropic_hardening_rate oeac 1e-5 = tolerance eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI 115 114 113 112 111 110 109 108 107 106 105 104 103 102 101 100 87 86 85 84 83 82 81 80 79 78 77 76 75 74 99 98 97 96 95 94 93 92 91 90 89 88 Euler_One_Step algorithm integration constitutive NDMaterialLT ; define Newton algorithm define ProfileSPD; 0.000001 increment solver = uy define tolerance dof Norm_Displacement_Increment 1 test # convergence node define using displacement_control = integrator series_file static shearforce;// define solver Fx= ; and linear Nsteps=1e4 algorithm type = add 8 series_file // # Fx=-shearforce;// node linear = to type series_file 16 6 shearforce;// # # Fx= load node linear add to type = 15 4 series_file # # Fx=-shearforce;// load node linear add to type 14 2 # # load node add to 13 # load add strain. plane want we since uz, the i=1; all fix "shear; // stage loading shear new 2: Stage algorithm; // static ------using // steps Nsteps simulate Euler_One_Step algorithm integration constitutive NDMaterialLT ; define Newton ; algorithm With_no_convergence_check define algorithm define // eeice l nvriyo aiona Davis California, of University al. Jeremić et = series_file Fy=-shearforce;// linear = type series_file 7 shearforce;// # Fy= node linear ; to type = "path.txt 12 5 series_file = # # Fy=-shearforce;// series_file load node linear shearforce;// add to type Fy= 11 3 linear # # type load node 1 add to # 10 node # to load 9 add # load add shearforce=1.6*kN; }; { (i<9) while 3104 of 2907 page: PLOT G/GMAX FOR MODEL SHEAR PURE 707.23. Notes ESSI aiu_trtos=10vroelvl=0; = verbose_level 100 = maximum_iterations 1e-2/Nsteps*m; ; "path.txt ; "path.txt ; "path.txt ; "path.txt ; "path.txt ; "path.txt ; "path.txt aiu_trtos=1000; = maximum_iterations 0.0002 = stress_relative_tolerance 0.00002 = yield_function_relative_tolerance 1000; = maximum_iterations 0.0002 = stress_relative_tolerance 0.00002 = yield_function_relative_tolerance 4; = verbose_level 100 = maximum_iterations uz; dofs i i=i+1; # ; node 100+i fix # load remove eso:2.Ags,22,15:04 2021, August, 26. version: ← ← ← ← ← ← ← ------← - ← - Jeremićet al., Real-ESSI 118 117 116 algorithm; static using bye; steps Nsteps simulate eeice l nvriyo aiona Davis California, of University al. Jeremić et 3104 of 2908 page: PLOT G/GMAX FOR MODEL SHEAR PURE 707.23. Notes ESSI here. downloaded be can example this for files fei/DSL model ESSI The

G/Gmax 0.4 0.6 0.0 0.8 0.2 1.0 1 0 - 6 1 0 iue776:TeGGa results G/Gmax The 707.64: Figure - 5 1 0 - 4 Strain 1 0 - 3 1 0 - 2 eso:2.Ags,22,15:04 2021, August, 26. version: Real DPAF 1 0 - 1 Jeremićet al., Real-ESSI 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 eeice l nvriyo aiona Davis California, of University al. Jeremić et example. this in as points bye; 1 # material use shear pure control strain testing ; constitutive -1 simulate max_strain/incr_size = num_of_increm ; 0.005 ; max_strain= 0.000001 = incr_size vonMisesMultipleYieldSurfaceGoverGmax type 1 # material add "GGmax; name model file: fei/DSL to model DSL. ESSI converted the is inside G/Gmax parameter) hardening The 3104 and of size material. 2909 (yield-surface von-Mises parameters page: multi-yield-surface modelingn material with Gauss-point one on based . . . F VON-MISES MULTI-YIELD-SURFACE 707.24. plot description: G/Gmax Problem for von-Mises Multi-yield-surface 707.24 Notes ESSI ubro_nrmn num_of_increm; = number_of_increment max_strain = maximum_strain incr_size = strain_increment_size 0.0 = confinement_strain 0.01" 0.005, ; 0.001, 0.0005, "0,1E-6,1-5,5-5,1-4, = ShearStrainGamma "1,0.995,0.966,0.873,0.787,0.467,0.320,0.109,0.063 = GoverGmax 9 = total_number_of_shear_modulus 0.0 Pa = * poisson_ratio 3E8 = initial_shear_modulus 0.0*kg/m^3 = mass_density h ieec nGGa ewe oto onscnb eue yuigmr hnjs control 9 just than more using by reduced be can points. points control control at between input G/Gmax for in used difference one The the matches exactly curve G/Gmax Computed is example This material. von-Mises multi-yield-surface to input G/Gmax the illustates model This eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et 3104 of 2910 page: . . . F VON-MISES MULTI-YIELD-SURFACE 707.24. Notes ESSI

G/Gmax / (unitless) Stress / (Pa) 200000 100000 150000 0.4 0.6 0.0 0.8 0.2 1.0 50000 1 0 - 6 0.000 0 Input ESSI iue776:Srs-tanRelationship Stress-Strain 707.65: Figure ESSI Input iue776:TeGGa results. G/Gmax The 707.66: Figure Multi-Yield-Surface vonMisesG/Gmax 0.002 1 0 - 5 Material Behavior:Stress-Strain Strain /(unitless) 0.004 Strain /(unitless) 1 0 - 4 0.006 1 0 - 3 0.008 eso:2.Ags,22,15:04 2021, August, 26. version: 0.010 1 0 - 2 Jeremi´cet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremi´c et 3104 of 2911 page: . . . F VON-MISES MULTI-YIELD-SURFACE 707.24. Notes ESSI

Damping Ratio 0.00 0.10 0.20 0.30 0.05 0.15 0.25 0.35 1 0 - 5 ESSI Input iue776:DmigRtoPlot Ratio Damping 707.67: Figure 1 0 - 4 Strain /(unitless) Damping Plot 1 0 - 3 eso:2.Ags,22,15:04 2021, August, 26. version: 1 0 - 2 Jeremićet al., Real-ESSI 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 eeice l nvriyo aiona Davis California, of University al. Jeremić et (opening slope the obtain to confinement the by divided is angle). radius the Then, surface. yield corresponding bye; 1 # material use shear pure control strain testing ; constitutive -1 simulate max_strain/incr_size = num_of_increm ; 0.005 ; max_strain= 0.000001 = incr_size DruckerPragerMultipleYieldSurfaceGoverGmax type 1 # material add "GGmax; name model file: fei/DSL model ESSI yield-surface the DSL. to the converted inside is parameter G/Gmax hardening then The and size material, done material. is this Drucker-Prager Gauss-point which one for directly, multi-yield-surface on size compression) use based surface is which or yield example (dilation This changing by volume command. manually DruckerPragerMultipleYieldSurface dilation of different upon parameter using change iterated the be model to that to 3104 need means of wants curve 2912 which G/Gmax user page: material, If this zero. in to used is flow plastic deviatoric . . . DRUCKER- MULTI-YIELD-SURFACE 707.25. plot description: Problem G/Gmax for Drucker-Prager Multi-yield-surface 707.25 Notes ESSI ubro_nrmn num_of_increm; = number_of_increment max_strain = maximum_strain incr_size = strain_increment_size 0.0 = confinement_strain 0.01" 0.005, ; 0.001, 0.0005, "0,1E-6,1-5,5-5,1-4, = ShearStrainGamma "1,0.995,0.966,0.873,0.787,0.467,0.320,0.109,0.063 = GoverGmax 9 = total_number_of_shear_modulus 0.0 = dilation_scale Pa =1.0 * dilation_angle_eta 0. = cohesion 0.5 Pa = * pressure_exponential_n 1E5 Pa = * reference_pressure 1E5 = initial_confining_stress 0.0 Pa = * poisson_ratio 3E8 = initial_shear_modulus 0.0*kg/m^3 = mass_density nieteDL h il ufc aisi acltdas calculated is radius surface yield the DSL, the Inside Purely material. Drucker-Prager multi-yield-surface to input G/Gmax the illustrates model This √ 3 σ y where , σ eso:2.Ags,22,15:04 2021, August, 26. version: y steyedsrs fthe of stress yield the is cl sset is scale Jeremićet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et surface to modulus shear where 3104 of 2913 page: . . . DRUCKER- MULTI-YIELD-SURFACE 707.25. Notes ESSI h adnn aaee scluae as calculated is parameter hardening The H H 1 i 0 i 0 = stecrethreigprmtrcrepnigt il surface yield to corresponding parameter hardening current the is iue776:Nse-il-ufc rce-rgrSrs-tanRelationship Stress-Strain Drucker-Prager Nested-Yield-Surface 707.68: Figure H 1 i

− Stress / (Pa) 200000 100000 150000 50000 2 1 G 0.000 0 i namely, , Multi-Yield-Surface Drucker-Prager:Stress-Strain ESSI Input 0.002 H i 2( = γ τ i i +1 +1 0.004 Strain /(unitless) − − τ γ i i ) n steiiilsermodulus. shear initial the is G And . 0.006 0.008 eso:2.Ags,22,15:04 2021, August, 26. version: i . H i stecrettangent current the is 0.010 (707.1) Jeremi´cet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremi´c et 3104 of 2914 page: . . . DRUCKER- MULTI-YIELD-SURFACE 707.25. Notes ESSI

Damping Ratio G/Gmax / (unitless) iue776:Nse-il-ufc rce-rgrGGa results G/Gmax Drucker-Prager Nested-Yield-Surface 707.69: Figure 0.00 0.10 0.20 0.30 0.05 0.15 0.25 0.35 0.4 0.6 0.0 0.8 0.2 1.0 1 1 0 0 - 6 - 5 Input ESSI ESSI Input Multi-Yield-Surface Drucker-PragerG/Gmax iue777:DmigRtoPlot Ratio Damping 707.70: Figure 1 0 - 5 1 0 - 4 Strain /(unitless) Strain /(unitless) Damping Plot 1 0 - 4 1 0 - 3 1 0 - 3 eso:2.Ags,22,15:04 2021, August, 26. version: 1 1 0 0 - - 2 2 Jeremićet al., Real-ESSI (1986-) Simulator Real-ESSI the Development of History Brief 708 Appendix 2915 Jeremićet al., Real-ESSI ihvr re ecito fcpblte,adwt eeecst ute edn n ouet with documents and reading further to references with and information. capabilities, more of chronologically, description presented brief are Developments very system. with Simulator Real-ESSI the by represented currently is eeice l nvriyo aiona Davis California, of University al. Jeremić et Notes ESSI hsscinbifl ecie itr ftedvlpeto h iieEeetItrrtd FEI, that Interpreted, Element Finite the of development the of history describes briefly section This n h israin(Jeremić Dissertation , PhD of and (Jeremić1994 ) University Thesis , Master the 1997). his at x386, of student part PC-DOS as C++ graduate Boulder, on Jeremić, a using at Boris and Colorado control, by RAM, PC-Linux-TurboRedHat, advancement 256MB on solution Solaris, and nodes), 5, x486 27 Sun-SparcStation and on 20 language, Programming 8, with (bricks solids plasticity, 1992-1997: Gasser&Scepan Switzerland. (c) at Baar, and in Iraq, Energoprojekt-Hidroinˇzinjering in Bureau site (a) Design Project Dam at Bekhme (b) engineer at x286+287, Yugoslavia, Belgrade, staff PC-DOS, in Company Jeremić, a on Boris language, Programming by C RAM, sim- using 640KB+384KB a (DSL), for Language parser rudimentary Specific solids, Domain for program ple element finite elastic-plastic and elastic dynamic, 1989-1992: Diploma his of part (Jeremić as 1989). 640KB+384KB Belgrade, Thesis , of x286+287, University the PC-DOS, at on Jeremić, student can Boris undergraduate language, by deformation RAM, and programming loading FORTRAN circum- 3D using in general any response modeled, that of be so modes series, higher Fourier using in expanded loads, direction, 3D ferential general with solids axisymmetric for domain 1988-1989: Jeremić, Boris by Belgrade. RAM), of (128KB University Spectrum the ZX at and student RAM) undergraduate (48KB 1000 CASIO 1500, SHARP on 1986-1988: eeomn fthe of Development eeomn fteErhuk olSrcueItrcin(SI rga ntime in Program (ESSI) Interaction Structure Soil Earthquake the of Development eeomn fteFnt lmn nepee FI,agnrlproesai and static purpose general a (FEI), Interpreter Element Finite the of Development eeomn ftepormFM etrn ml n ag eomto elasto- deformation large and small featuring FEM, program the of Development FRAME_and_GRID rga,uigBSCpormiglanguage, programming BASIC using program, eso:2.Ags,22,15:04 2021, August, 26. version: 3104 of 2916 page: Jeremićet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et Notes ESSI Ra-SISmltrwbsite web Simulator Real-ESSI main see details Professor For by UCD. PC-Linux, at on co-workers languages, Jeremić and Programming Boris Python FEI-DSL, FORTRAN, C++, using 2006-Present: Presentation Report California Final of Programming University see C++ the USA, using at CA, co-workers Davis, PEER, Jeremić and at Boris at Professor OpenSEES. by renamed PC-Linux, on later language, Framework, G3 into FEM from 2000-2006: of University the at and University Davis. Clarkson at Jeremić, at California Boris Professor NorthCountry by network, T cluster: 100based PC-Linux and PC-Linux, on language, Programming from elements tural 1997-2000: real-essi.us otne eeomn ftepormFM diino yaisfo SI struc- ESSI, from dynamics of addition FEM, program the of development Continued eeomnscniudwt nrdcino l h rvosadnwdevelopments new and previous the all of introduction with continued Developments eeomn fteRa SISmltrSse aaNCES,MS-ESSI), NRC-ESSI, (aka System Simulator ESSI Real the of Development or FRAME_and_GRID real-essi.info aallvrin P ae,lnigwt E,uigC++ using FEI, with linking based, MPI version, Parallel , te l on otesm URL), same the to point all (they . eso:2.Ags,22,15:04 2021, August, 26. version: oe master, + nodes 4 , 3104 of 2917 page: or Jeremićet al., Real-ESSI (2019-) Analysis ESSI for Programs Computer 709 Appendix 2918 Jeremićet al., Real-ESSI reydsrbdhr r ehdfrdsrbto fporm,i orecd omo neeual form executable in or form code source in programs, of distribution for method are here described Briefly Methods Distribution Program 2021). ( al. 709.1.1 et Pecker from material on part in Programs based is Analysis section ESSI This Available of Overview 709.1 Interaction Soil-Structure of Earthquake assessment critical performing analysis. much for without ESSI programs for used about capabilities are information programs presenting and on is used Focus be analysis. can (ESSI) that Use, Open and eeice l nvriyo aiona Davis California, of University al. Jeremić et 3104 of 2919 page: . . . ANALY ESSI AVAILABLE OF OVERVIEW 709.1. Notes ESSI • • hsscinlssanme faalbecmue rgas omril pnSuc,Pbi Domain Public Source, Open commercial, programs, computer available of number a lists section This ore,ta a osbydsryaypeiu AadVVeotadpeetrslsa using as results present and effort program V&V is to and programs changes QA OSL program... make previous for same program, any the QA a destroy for that possibly code noted can source is that a It sources, obtain effort. can assurance separate anyone quality a as The usually impossible, liability. is almost reasons, program, legal any given to provide a due to for attempt program (QA) even of not quality source does the OSL derivative for The and assurance OSL. quality similar code through source available software always (c) be that (LGPL), will guarantees License code Public OSL General The Lesser (CC)) (b) Commons (GPL), source Creative License open the Public of General one (a) by covered (OSL): developers, licenses by online Distributed (OSP): documentation... assume programs and Source to effort Open reasonable V&V is significant It a have business. implemented do for programs of good commercial errors deemed that These not algorithms. are elements, methods for approximation numerical small, of numerical approximate, one are for from errors error engineers of these principal level however of document methods, one will by verification noted that privately is as companies, software this, big for reasons not usually the is of Pub- programs One commercial solution. for available. analytic example (V&V) chosen Validation These carefully and Verification some, manual. accessible with available, the results licly or in comparison Commercial provided nice examples lawyers. good, show of company usually accuracy by written good license. guaranty and commercial usually controlled a programs usually by Com- defined is are etc. content that staff, license company, capabilities support Commercial and to features funds have earn usually to programs need very mercial companies is these It that companies. note commercial to by important available made sold, Distributed, (CP): programs Commercial eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI SIaayi.Teeporm r vial sn n ftedsrbto ehd sntdi previous in noted as methods the of distribution part 2919 . the or page of analysis, on one ESSI for 709.1.1 using used section available are are and programs used These be can analysis. that ESSI programs of list incomplete an is Provided Programs Available 709.1.2 eeice l nvriyo aiona Davis California, of University al. Jeremić et 3104 of 2920 page: . . . ANALY ESSI AVAILABLE OF OVERVIEW 709.1. Notes ESSI • • • • omrilPrograms: Commercial rights the all use. releases future program any the for executables of and owner sources and re- program developer any the Original without to executable use. and/or future code any source for are strictions Distributed by (PDP): mainteined. controlled programs easily is is Domain (QA) exists, Public assurance it quality if program QA, The The The program. distributor. the program. owner, of program the use the of on versions limitations executable place are can owner Distributed (OUS): programs Use process. Open QA the of the control as main easier, therefor, distribution sources is can, program programs and controls source maintainer a assurance restricted usually quality with used, owner, program is Assurance developer, OSL Quality main of license. version CC A of source reasons. version restrict property can revised intellectual owners to program and due developers mostly that distribution, is code difference The license. version source restricted open a using an users, of developers, select to Distributed (RSP): programs Source Restricted – – – – – – – – – – – BQS( ABAQUS NY ( ANSYS ( ADINA SDN ( LS-DYNA ( STRUDL GT () CLASSI C AS ( SASSI ACS ( 2010 SASSI ( SAP2000 () RIGID ( NASTRAN http://www.adina.com http://www.ansys.com/ https://www.csiamerica.com http://www.3ds.com http://www.lstc.com http://www.mscsoftware.com http://www.ghiocel-tech.com http://sassi2000.net https://hexagonppm.com/offerings/products/gt-strudl ) ) ) ) ) ) ) ) eso:2.Ags,22,15:04 2021, August, 26. version: ) Jeremićet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et 3104 of 2921 page: . . . ANALY ESSI AVAILABLE OF OVERVIEW 709.1. Notes ESSI • • ulcDmi programs: Domain Public programs: Use Open and programs, Source Restricted programs, Source Open – – – – – – – – – – – – – – – – – – – – elES ( Real-ESSI Code ( OpenSees ( SIMQKE1 ( DEEPSOIL ( DYNAFLOW ( FLAC ( PLAXIS ( SOFISTIK ( STARDYNE () SMACS ES() TESS () D-MOD () SUMDES () DESRA-2 ( NEERA and EERA ( SHAKE91 ( FEAP ( Real-ESSI ( Zsoil SE ( ASTER http://www.zsoil.com http://www.itascacg.com http://www.ce.berkeley.edu http://www.plaxis.nl/ http://opensees.berkeley.edu/ http://essi-consultants.com http://real-essi.us/ http://nisee.berkeley.edu/ http://nisee.berkeley.edu/ http://www.sofistik.com http://deepsoil.cee.illinois.edu/ ftp://ftp.cray.com https://blogs.princeton.edu/prevost/dynaflow/ http://www.code_astair.org http://www.ce.memphis.edu/ ) ) ) ) ) ) ) ) ) ) ) ) ) ) eso:2.Ags,22,15:04 2021, August, 26. version: ) Jeremićet al., Real-ESSI (1989-) Organization Work 710 Appendix 2922 Jeremićet al., Real-ESSI hr r ubro ol htcnb sdwt agid etoe r oeo h otimportant most the of some are Mentioned Valgrind. with commands used example be with can ones, that tools of number a are There Leaks Memory Code Source Control Version &c.) 710.2.1 Code, (Notes, Writing 710.2 using OSs. computers, other and laptops phones, smart Tablets, Communication 710.1 system. computational and eeice l nvriyo aiona Davis California, of University al. Jeremić et documentation. = 3104 of 2923 page: COMMUNICATION 710.1. Notes ESSI ` 1 • • • • • xmlsuesnhxfo e er g,s hudb rprsnhxsol evrfiduigecletValgrind excellent using verified be should synthax proper be should so ago, years few from synthax use Examples s of use FEI modeling of development the to related organization work detail some in describes section This ae+%h_%d_%Y_%Hh_%Mm_%Ss__%A date -ro-ii=o-to=asf$argv[1] --trace-malloc=yes --tool=massif --num-callers=32 --error-limit=no --show-reachable=yes --leak-check=yes -v valgrind $argv[1].memcheck.$TIMESTAMP.err $argv[1].memcheck.$TIMESTAMP.out)>&! --freelist-vol=100000000 >! --show-reachable=yes $argv[1] --leak-check=full --tool=memcheck valgrind (time $argv[1].massif.$TIMESTAMP.out)>&! >! $argv[1].massif.$TIMESTAMP.err $argv[1] --tool=massif valgrind (time $argv[1].callgrind.$TIMESTAMP.out)>&! >! $argv[1].callgrind.$TIMESTAMP.err $argv[1] --tool=callgrind valgrind (time $argv[1].cachegrind.$TIMESTAMP.out)>&! >! $argv[1].cachegrind.$TIMESTAMP.err $argv[1] --tool=cachegrind valgrind (time tcsh sasmd ihatm tm ue ncmad eo)stas: set below) commands in (used stamp time a with assumed, is eoylasaebs icvrdb unn agid( Valgrind running by discovered best are leaks Memory 1 ` https://zoom.us/ eso:2.Ags,22,15:04 2021, August, 26. version: si ok nlnxadall and linux on works it as http://valgrind.org/ TIMESTAMP set ← ← ). - - ← - ← - ← - ← - Jeremićet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et other few and Davis, at California of University at group entities. collaborating Mechanics Computational the of members http://sokocalo.engr.ucdavis.edu/~jeremic/PAPERSlocalREPO/ Repository. Bibliography pdf pdf pdf List. Bibliography Bibliography 3104 of 2924 page: 710.2.3 bin. . . . VERSIO &C.) CODE, (NOTES, WRITING on git 710.2. using notes lecture Maintain Notes Lecture 710.2.2 Notes ESSI otlse aesaeaalbeat: available are papers listed Most http://sokocalo.engr.ucdavis.edu/~jeremic/research/Jeremic_et_al_bibliography_education. http://sokocalo.engr.ucdavis.edu/~jeremic/research/Jeremic_et_al_bibliography_computers. http://sokocalo.engr.ucdavis.edu/~jeremic/research/Jeremic_et_al_bibliography_mechanics. at: available and compiled is paper through those (managed of files list bibtex A in organized are interest of Papers script using notes lecture in links http all Checking https://github.com/ ESSI_check_URLs_in_lecture_notes.sh . git hsst sol cesbeto accessible only is site This . eso control. version eso:2.Ags,22,15:04 2021, August, 26. version: in Jeremićet al., Real-ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et http://www.open-mpi.org/projects/hwloc/ Architecture Computer Parallel Scripts 710.5.5 and Programs Processing Post Scripts 710.5.4 and Programs Processing 3104 of Pre 2925 page: 710.5.3 DRM. for Processing Output fk fk. Scripts for and Extraction Programs Node DRM Processing Method Reduction Domain 710.5.2 Scripts Backup Scripts 710.5.1 and Programs Useful 710.5 Calendar BACKUP 710.3. 710.4 Backup 710.3 Notes ESSI eso:2.Ags,22,15:04 2021, August, 26. version: Jeremićet al., Real-ESSI oplto falcletdbbigah,oe er,ntncsaiyctdi hsbook. this in cited necessarily not years, over bibliography, collected all of Compilation Bibliography Collected 711 Appendix 2926 Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et eateto ii n niomna Engineering Environmental and Civil of Department nvriyo aiona Davis California, of University eeicCmMc Group Jeremić CompMech Bibliography by: eso:2.Ags,22,15:04 2021, August, 26. version: 3104 of 2927 page: Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et SehnDAtlvc n oadWAmtog lsi tanlclzto nmtl:oiisand origins metals: in localization strain Plastic Armstrong. W Ronald and rock Antolovich Carboniferous D Variscan a Stephen in migration gas of and behavior elasticity rock of Anisotropy A.Angabini. [AA14] [A.A03] Bibliography [AAB A mrs,D odn,adA iLri.Simcgon epnea oug ytrtcelasto-plastic- Hysteretic lotung: at response ground Seismic Lernia. di A. and Boldini, D. Amorosi, A. [ABdL16a] piecewise-constant having isolator vibration Vertical Masui. Takeshi for and algorithms Asai, Takehiko integration Araki, Yoshikazu accurate Second-order Veiga. Beirão da L. and Auricchiob, F. Artiolib, [AAM09] E. [AAdV07] RjnrmAunta,Rs .Buagr rc .Kte,adBl li.Anwto for tool Abram. new J. A Sluis. Bill and Kutter, L. elasto-plastic- Bruce Hysteretic Boulanger, lotung: W. at Ross response Arulnathan, ground Rajendram Seismic [Abr65] Lernia. di A. and Boldini, D. Amorosi, A. [ABKS99] [ABdL16b] density. random with sands [ABD dense in localization analysis. strain hazard Capturing seismic Borja. in I. uncertainty Ronaldo and and Andrade José Probability E. Bommer. [ABB J Julian assump- and ergodic Abrahamson the without A analysis Norman hazard seismic Probabilistic Brune. N James [AB06] and america. Anderson north G eastern John for relations Ground-motion Boore. M David [AB05] and Atkinson M Gail Bransby. L. [AB99] P. and Atkinson H. J. [AB95] [AB78] + + + Ewr nesn hou a,CrsinBshf ua lcfr,JmsDme,Jc Dongarra, Jack Demmel, James Blackford, Susan L Bischof, Christian Bai, Zhaojun Anderson, Edward 99] LnaA tk omnArhmo,Jla omr rn cebu,FbieCto,adNicolas and Cotton, Fabrice Scherbaum, Frank Bommer, J Julian Abrahamson, Norman Atik, Al Linda 10] Ewr nesn hou a,Jc ogra neGenam lnMKne,Jrm uCroz, Du Jeremy McKenney, Alan Greenbaum, Anne Dongarra, Jack Bai, Zhaojun Anderson, Edward 90] consequences. Netherlands. The Limburg, South the in mass uh.Tevraiiyo rudmto rdcinmdl n t components. its and models prediction ground-motion Letters of variability The Kuehn. ae Danalyses. 3D based algebra linear portable A Lapack: Sorensen. In Danny computers. and computing Bischof, high-performance C for library Demmel, James Hammarling, Sven force. restoring mechanism. hardening kinematic Engineering nonlinear and a Mechanics with plasticity von-Mises 8Knsa,WC2 1965. W.C.2, Kingsway, 88 tests. model in ments analyses. 3D based al. et McKenney, Alan Hammarling, Sven Greenbaum, 1999. Anne SIAM, Croz, Du Jeremy ENGINEERING IN METHODS NUMERICAL 2006. FOR JOURNAL INTERNATIONAL spectra Earthquake tion. America of Society Seismological 1978. Company, Book Hill - McGraw esooia eerhLetters Research Seismological 15:9–0,2010. 81(5):794–801, , ae –1 EECmue oit rs,1990. Press, Society Computer IEEE 2–11. pages , esrCluu hog ieeta Geometry Differential through Calculus Tensor rgesi aeil Science Materials in Progress atqaeEgneig&Srcua Dynamics Structural & Engineering Earthquake 12:0–0,2005. 21(2):603–607, , olDnmc n atqaeEngineering Earthquake and Dynamics Soil olDnmc n atqaeEngineering Earthquake and Dynamics Soil umte oteAT Journal ASTM the to Submitted 9(-2:8714,Fbur 2007. February 196(9-12):1827–1846, , 51:73,1995. 85(1):17–30, , h ehnc fSis nItouto oCiia ttSi Mechanics Soil Stat Critical to Introduction An Soils, of Mechanics The 01:92,1999. 70(1):19–28, , 1 9110 2014. 59:1–160, , rceig fte19 C/EEcneec nSuper- on conference ACM/IEEE 1990 the of Proceedings niern Geology Engineering 1999. , utrots&C.(ulses t. London Ltd., (Publishers) Co. & Butterworths . 54 1 2016. 61, – 85:44 , 54 1 2016. 61, – 85:44 , 81)10–53 2009. 38(13):1505–1523, , 734:5–7,2003. 67(3-4):353–372, , eso:2.Ags,22,15:04 2021, August, 26. version: optrMtosi Applied in Methods Computer esooia Research Seismological AAKUes guide Users’ LAPACK 3104 of 2928 page: 67(11):1531–1564, , ultno the of Bulletin V s measur- . . Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et N baasn pta aito ferhuk rudmto o plcto osi-tutr interac- soil-structure to application for motion ground earthquake of variation Spatial 1 smart Abrahamson. the N. using velocity rupture and coherency wave seismic of Estimation Abrahamson. Alan Norman [Abr92a] [Abr85] GioAdetiadGa ihl av.Dsg fltrlylae ieclmscnieigsieffects: ssi considering pile-columns loaded laterally of Design [ACD Calvi. Michele Gian and Andreotti Guido considerations. [ACC microscopic from clays of constitutivebehavior Macroscopic Chen. J. and Anandarajah A. condensed of Hugoniot [AC20] shock Generalized 2018. Voskoboinikov. years, M. I. 5 and next Bogomolov, M. the V. in Afanasenkov, N. analyses A. hazard seismic in expect [AC96] to changes What Abrahamson. A Norman In items. [ABV69] action initial & Notation components: Technical Sigma data. array Abrahamson. flat Norm pinyon the [Abr18] on data based unpublished functions coherency data. Hard-rock Flat Abrahamson. Pinyon A. on Norman based functions coherency [Abr10] rock Hard developments. future Abrahamson. and A. practice Norman current with problems soil-structure [Abr07b] assessment: for hazard models Seismic coherency Abrahamson. NA Spatial innovation: technology [Abr07a] on Program Abrahamson. A. tests. model. N. element [Abr06b] coherency bender Updated of Abrahamson. Analysis N. Riemer. F. Michael and Boulanger, W. Ross [Abr06a] Arulnathan, Rajendram In inputs. support multiple of [Abr05] variation Spatial Bernal, Abrahamson. Alberto N.A. In histories. time motion [ABR98] strong incoherent spatially of Generation Abrahamson. N.A. [Abr93] [Abr92b] MtiuAhr hlpeCle,Piip aie n oetB rne aiir domain-specific A Familiar: France. B. Robert and Lahire, Philippe Collet, Philippe Acher, Mathieu Achenbach. D. J. [ACLF13] [Ach73] + + I noids .Caz,D hoools .Prdiits .Sputai,adS Konstantopoulos. S. and Sapountzakis, I. Paradeisiotis, A. Chronopoulos, D. Chatzi, E. Antoniadis, I. 17] PrEi utel / knCrso,OaDhbo,JnsLnean alGna lsn Anders Olsson, Karl-Gunnar Lindemann, Jonas Dahlblom, Ola Carlsson, akan H/’ Austrell, Per-Erik ] tion. Center, 1985. Research Berkeley, Engineering California, Earthquake of EERC-85-02, University Report Technical recordings. array strong-motion o-rqec iebn-a lsi/cutcmt-aeil sn h -apn ocp,2017. concept, k-damping the using meta-materials elastic/acoustic band-gap wide Low-frequency Bridges Steel of Retrofit and Evaluation Seismic tegh n ekesso d d n Dnnieranalysis. nonlinear 1D and 2d, 3d, of Dynamics weaknesses and 1996. Strengths May Engineers, Civil of Society American editors, the Su, of C. T. Division and Lin K. Y. In United Angeles, Los Engineering, Earthquake substances. on Conference National U.S. 11th the States. at talk Plenary Center. Research Workshop “Sigma” 2007. 05Jul EPRI, report, 2007. report, DC: Washington, Energy, In of Department U.S. and CA, Alto, 2006. Palo 1012968, EPRI, 2006. report, Technical interaction. Journal Testing Geotechnical 5. 060 5410 90 ISBN editor, eesn asPtrsn at itna,adGoa adeg optraddlann ftefinite the of learning added Computer CALFEM. Göran Sandberg. and method Ristinmaa, element Matti Petersson, Hans Peterson, 8,21.Seilscin h rgamn agae rc tte2t C ypsu on Symposium ACM 26th the Programming Environments. at and Complex track Methods and Design Languages Dynamic Agent-oriented in Programming on Computing section The Distributed Special for & section: Techniques 2011) Special (SAC Computing models. Applied feature 2013. of 681, management – scale large for language 1973. Company, Publishing Holland Sweden. University, Lund Mechanics Solid of Division and is uoencneec nerhuk niern n seismology and engineering earthquake on conference European First PIRpr o R106,March. TR-100463, No. Report EPRI atqaeEgneig et ol Conference World Tenth Engineering, Earthquake /(/)2,2020. n/a(n/a):26, , ora fApidMcaisadTcnclPhysics Technical and Mechanics Applied of Journal http://peer.berkeley.edu/ngaeast/2010/02/sigma-workshop/ nvriyo aiona ekly eray21.Pcfi atqaeEngineering Earthquake Pacific 2010. February Berkeley, California, of University , aePoaaini lsi Solids Elastic in Propagation Wave http://www.byggmek.lth.se/Calfem/ 12:2–3,1998. 21(2):120–131, , rceig f1t Conference 11th of Proceedings 1992. , eotPeae o ehe oprto,April Corporation, Bechtel for Prepared Report a rnic,C,Otbr19.UBadCalTrans. and UCB 1993. October CA, Francisco, San , ple ahmtc n ehnc.North Mechanics. and Mathematics Applied . cec fCmue Programming Computer of Science ae 4–5.Blea otra,1992. Rotterdam, Balkema, 845–850. pages , ae 0–1.EgneigMechanics Engineering 709–712. pages , 04:6–6,Jl 1969. July 10(4):660–664, , rceig fteFrtUS Seminar, U.S. First the of Proceedings atqaeEgneig&Structural & Engineering Earthquake iiino tutrlMechanics Structural of Division eso:2.Ags,22,15:04 2021, August, 26. version: ae –,2006. 3–8, pages , rceig fNGA-East of Proceedings 3104 of 2929 page: . 2005. , 78(6):657 , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et MhmdEs lonsadCadaatS ea.Tsigadmdln fstrtditrae with interfaces saturated of modeling and Testing Desai. S. Chandrakant and Alyounis Essa Mohamad [AD19a] G .Aas efectdoclain ftoeatchl–pcssiigwt osatcecetof coefficient constant a with sliding half–spaces elastic two model. of simple oscillations a Self–excited – friction Adams. of coefficient G. constant G. interfaces a with saturated sliding of in oscillations modeling Self–excited and Adams. G. Testing G. Desai. [Ada95b] S. Chandrakant and Alyounis Essa Mohamad [Ada95a] structures flexible in rocking and elasticity of interaction The [AD19b] DeJong. J. Matthew and Acikgoz Sinan cohesive anisotropic to Application III: plasticity. surface Bounding Dafalias. F. Yannis and Anandarajah A. [AD12] [AD87] Sna .Awd n icaGioi.Poaiitcmdlfrplcytliemcotutrswith microstructures polycrystalline for Gurtovoy. Aleksey model and Abrahams Probabilistic David Grigoriu. In library. Mircea matrix and sparse object-oriented Arwade An R. Spooles: Sanjay Grimes. G Roger and plasticity Ashcraft strain Cleve [AG05] finite multiplicative in discontinuity strong of analysis An [AG04] Garikipati. K. and Armero F. [AG99] the to application with solids overcoring inelastic by in measurements strong–discontinuities of stress analysis on An anisotropy Garikipati. K. rock [AG96b] and of Armero F. influence The archi- Goodman. program E. analysis R. element and finite Amadei object–oriented B. new A Thewalt. C. and [AG96a] effect. Fenves, Bauschinger G. multiaxial Archer, the C. of G. representation mathematical A Frederick. C.O. [AG82] and Armstrong P.J. with [AFT99] for triangles countermeasures Membrane liquefaction Foundation Martin. Felippa. R. Goeffrey A. and Carlos Elgamal, Ahmed-W and Adalier, Korhan Haugen, [AF66] Bjørn Fuente, la de M. the Horacio in Alvin, analysis Ken elasto–plastic locking–free for [AEM98] Conditions Heeres. Otto and Borst, René de Askes, Harm [AdHF92] of analysis limit for elements Finite [AdH99] Felice. de Gianmmarco and Buhan, half–spaces. de elastic layered Patrick two Averbuch, of Daniel sliding the [ADF in instabilites Dynamics Adams. G. G. [Add95] [Ada97] + G le,T rmish .Fse,N aoi,M ien,E edl n .Toe.Spotn efficient Supporting Toonen. B. and Seidel, E. Ripeanu, M. Karonis, N. Foster, I. Dramlitsch, T. Allen, G. 01] ffc fsraeruhes :Ts behavior. Test I: roughness. surface of effect 2019. friction. Tribology of Journal ASME validations. and Modeling II: roughness. 2019. surface 19(8):04019097, of effect with uplift. to allowed soils. xcto nhtrgnosdsrbtdcmuigevrnet ihccu n lbs In globus. and cactus 2001 with Computing environments Super computing of distributed heterogeneous in execution Tribology iusfo os n Beyond and Boost from niques fracture. intergranular to application solids. in localization strain of simulation numerical Structures the and Solids with relation their and editors, Su, C. T. and Lin K. 1996. Y. May In Engineers, Conference problems. localization 11th strain of of simulation element finite techniques. tecture. 1966. C.E.G.B., 731,, RD/B/N/ Report Technical 1998. June embankments. earth element. EFF the I. – freedoms drilling corner Engineering method. galerkin element–free 1995. May Engineers, Civil of Society American editor, the of Sture, Division Stein Mechanics In Engineering walls. 894. masonry block homogenized SEJunlo niern Mechanics Engineering of Journal ASCE optr n Structures and Computers SEJunlo ple Mechanics Applied of Journal ASME 2:8–9,1997. 120:289–295, , 5:919 1999. 159:99–109, , okMechanics Rock atqaeEgneig&Srcua Dynamics Structural & Engineering Earthquake ae 3–3.EgneigMcaisDvso fteAeia oit fCivil of Society American the of Division Mechanics Engineering 136–139. pages , SEJunlo etcncladGoniomna Engineering Geoenvironmental and Geotechnical of Journal ASCE 32-2:8328,1996. 33(20-22):2863–2885, , oebr1-62001. 10-16 November , 1:1–2,1995. 118:819–823, , 51710 eebr18.10.1007/BF01240588. 1982. December 15:167–180, , + nDphSre.AdsnWse. 2005. Addison-Wesley., Series. Depth in C++ . nentoa ora o optrMtosi ple ehnc and Mechanics Applied in Methods Computer for Journal International 01:37,1999. 70(1):63–75, , SEJunlo niern Mechanics Engineering of Journal ASCE + epaeMtpormig ocps ol,adTech- and Tools, Concepts, Metaprogramming: Template C++ 28782 1995. 62:867–872, , iieEeet nAayi n Design and Analysis in Elements Finite 1(2:2211,Dcme 1987. December 112(12):1292–1318, , nentoa ora fGeomechanics of Journal International rceig f1t Conference 10th of Proceedings nentoa ora fGeomechanics of Journal International 11)27–14 2012. 41(15):2177–2194, , eso:2.Ags,22,15:04 2021, August, 26. version: 3()9712,2004. 130(9):997–1123, , nentoa ora of Journal International 3104 of 2930 page: 21317 1992. 12:163–187, , 19(8):04019096, , 124(6):500–517, , SEJunlof Journal ASME PPSC ae 891– pages , Proceedings Proceedings 1999. , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et MAnl n el.Hppatcdsrpino h rcinlbhvoro contacts. of behaviour frictional the elasto-plastic of description for Hypoplastic method Herle. I element and finite Arnold M stochastic Tree-dimensional Hori. Muneo body. and of elasto–plastic Anders spectrum for Maciej method amplitude element fourier finite the Stochastic of Hori. shape Muneo [AH06] and the Anders for Maciej model A Hough. E [AH01] Susan and Anderson G John [AH99] [AH84] problems value boundary stochastic to approach variational-inequality A Ghanem. R. and Arnst M. [AG12] Ade .Aee n olV ae hrceiaino alr ncosaiorpcsoils. Alawaji. cross-anisotropic S. in A. failure Husssain of Characterization Lade. V. Poul sand. and of Abelev behavior V. three–dimensional Andrei on anisotropy cross of Effects Lade. [Ala90] V. Poul and Technical Abelev rock. V. shock-damaged Andrei through propagation upon frequency high [AL04] of Loss Liu. C. and Ahrens J. T. [AL03] formulation Al–Shibli. shell Khalid Kirchhoff-Love Isogeometric Lorenzis. De Laura [AL95] and Kiendl, In Josef soil. difficult Ambati, in Marreddy foundations rocking on effects Fluid Kutter. [Al-95] single-faced B.L. a and Allmond for J.D. factors amplification topographic Modified [AKL18] Kausel. simu- Eduardo and and modeling Assimaki element Dominic finite for language [AK14] specific In Jeremić. Domain Boris loading. earthquake and under Abell piers José Antonio bridge of Rocking Imbsen. A. Roy and [AK07] Alameddine Fadel mechanisms multiple with model memory double A and [AJ14] Meimon. verification Y and model Lassoudiere, in F Hujeux, quantification JC Uncertainty Aubry, D Laman. [AI02] J.A. and Hemez, F.M. Atamturktur, S. [AHLM82] [AHL12] 2020. AG, SOFISTIK report, Technical Agha. element. Gul interface ve56 Verification, AG. SOFiSTiK [AGR [Agh85] [AG20] + Ba .Agad oetW rvs rhrRdes hmsM rce,Rbr .Smsn Douglas Simpson, W. Robert Brocher, M. Thomas Rodgers, Arthur Graves, W. Robert Aagaard, T. Brad 10] ora o ueia ehd nEngineering in Methods Numerical for Journal ngoehia engineering geotechnical in bodies. frequencies. 1984. high at acceleration elastoplasticity. and contact to Engineering application in its Methods and Numerical constraints inequality with eray2003. February Engineering Earthquake of EngineeringFrontiers Earthquake on Conference Ground-motion Jachens. C. Robert ground broadband and and Ma, long-period of Shuo Simulation II: Larsen, part earthquakes, C. motions. scenario Shawn fault hayward Petersson, of modeling Anders N. Dreger, apsBx48 ole,C,839 1990. 80309, Control CO, Undrained Boulder, and 428, Box Drained Campus for Control Mixed Mechanics Engineering of banding. shear and behavior strain stress– I : 1995. Pasadena, Technology, of Institute California Laboratory, Seismological report, 1995. Boulder, elasto-plasticity. for interaction. soil-structure kinematic Engineering to due slope Higways and lation. Bridges on Workshop & Conference Seismic National Third the of In behaviour. soil cyclic for monuments. masonry historic scale large to 2012. applied as validation 1985. http://dspace.mit.edu/handle/1721.1/6952 SEJunlo optn nCvlEngineering Civil in Computing of Journal ASCE nentoa ora o ueia ehd nEngineering in Methods Numerical for Journal International ultno h esooia oit fAmerica of Society Seismological the of Bulletin 3(1:4413,Nvme 2007. November 133(11):1414–1431, , COS oe fCnurn optto nDsrbtdSystems Distributed in Computation Concurrent of Model A ACTORS: oaie eomto nGaua Materials Granular in Deformation Localized optrMtosi ple ehnc n Engineering and Mechanics Applied in Methods Computer omlto n nerto fCntttv eain nSi lsiiyUnder Plasticity Soil in Relations Constitutive of Integration and Formulation 3()5966 2004. 130(5):599–606, , ae 0–,2006. 101–6, pages , rceig fteIt yp u.Md Geomech Mod. Num. Symp. Int. the of Proceedings 91)16–60 2012. 89(13):1665–1690, , ultno h esooia oit fAmerica of Society Seismological the of Bulletin SEJunlo niern Mechanics Engineering of Journal ASCE 619–96 1999. 46:1897–1916, , h hss nvriyo ooaoatBoulder, ant Colorado of University thesis, PhD . SEJunlGoehia n Geoenvironmental and Geotechnical Journal ASCE 04 nReview. In 2014. , . 0()24–97 eebr2010. December 100(6):2945–2977, , h hss nvriyo ooaoat Colorado of University thesis, PhD . niern Structures Engineering 14948 2001. 51:449–478, , eso:2.Ags,22,15:04 2021, August, 26. version: uy2014. July , 4:2 3,2018. 339, – 340:320 , nentoa ora for Journal International 2002. , ae –3 1982. 3–13, pages , 3104 of 2931 page: h hss MIT, thesis, PhD . et ..National U.S. Tenth 74(5):1969–1993, , ueia methods Numerical 129(2):160–166, , SEJournal ASCE 43:221–234, , International Proceedings Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et PdoAdioadEi .Mcr.Mlihs o ndfrigpru ei ytefiieelement finite the by media porous deforming in flow Multiphase Macari. J. Emir and Arduino Pedro Mlejnek. Hans-Peter and Argyris John [AM96] [AM91] deformation plastic elastic of theory The [ALS Onat. T. E. and Mallet, L. R. Lee, H. E. [ALO Agah–Tehrani, A. [ALMO87] material. plastic pressure-dependent into cone In rigid a boreholes. of deviated penetration in Steady pipe Alexandrov. stuck Sergei of Analysis Berg. C. Per and –. Larsen, 2003 Kenneth ..., Aadnoy, communications. S. Private Bernt Alameddine. [Ale06] Fadel [ALB99] ] [Ala DAby oaes,adHMdrsi osiuiemdlfrcci eaiu fitrae with interfaces of behaviour Ratiu. cyclic Tudor and for Marsden, model J.E. Abraham, constitutive Ralph A Modaressi. H and Modaressi, capabilities. A computing Aubry, scale large D achieving to approach processor [AMR88] single the of Validity Amhdal. M. Gene [AMM90] irregular Engineers. Civil in of Society trapped American waves seismic of [Amh67] complexity the On Amadei. Bernard Mohammadi. Kami [Ame13] compi- and form Asimaki and Domniki elements finite Symbolic sfc: and [Ama83] Syfi Mardal. Kent-Andre foundation. and elastic Alnaes three-parameter Sandve on Martin beams of [AM18] Bending Morfidis. K. media. and porous Avramidis of I.E. theory within geomaterials of geomaterials. analysis for Numerical [AM12] formulation Macari. Jose media Emir porous and Arduino of Pedro Implementation Macari. Jose [AM06] Emir and Arduino Pedro [AM01b] [AM01a] of sequence a of penetration Allen. the Junius of Simulation Glenn. A. Lewis and Lomov, N. Ilya Antoun, [ALM H. Tarabay [All85] [ALG03] + + + RlhJAcuea eghn i,JmsnHSed,LFba oil,Dne aale,adFrancois Lavallée, and Daniel Bonilla, Fabian L Steidl, H Jamison Liu, Pengcheng Archuleta, J Ralph 03] Mri .Ans nesLg,Kita .Ogad ai .Rge,adGrhN el.Uie form Unified Wells. N. Garth and Rognes, E. Marie Olgaard, B. Kristian Logg, Anders Alnæs, S. Martin 14] Mri adeAne,Adr og etAdeMra,OaSahu,adHn etrLangtangen. Petter Hans and Skavhaug, Ola Mardal, Kent-Andre Logg, Anders Alnaes, Sandve Martin 09] agae oanseiclnug o ekfruain fprildffrnilequations. differential partial of formulations weak Softw. for Math. language domain-specific A language: ehd nY .LnadT .S,editors, Su, C. T. and Lin K. Y. In method. response. soil nonlinear Interiors include Planetary that and histories Earth time the acceleration of site-specific Finite-fault Heuze. hardening. isotropic–kinematic combined as Solids of modeled Physics anisotropy and induced Mechanics with strain finite at assembly. element finite Engineering for framework Unified Structures and Solids of Journal tional (SPE). Exhibition Eng and Pet Soc Conference 1999. Technical USA., Annual TX, SPE - Proceedings ora fSld n Structures and Solids of Journal 1996. May Engineers, Civil of Society American the of Division Mechanics of dilatancy. variable In 7-10 1983. Springer-Verlag, topographies. 2012. Springer, In lation. Mechanics Engineering of Journal ASCE Mechanics Engineering of Journal ASCE rock. granitic into bombs FP ofrneProceedings Conference AFIPS ple ahmtclSciences Mathematical Applied oue7 mrcnSceyo ii nier,2013. Engineers, Civil of Society American 7. volume , uoae ouino ieeta qain yteFnt lmn Method Element Finite the by Equations Differential of Solution Automated ()2124 2009. 4(4):231–244, , 02::–:7 a 2014. mar 40(2):9:1–9:37, , p olDnmc n atqaeEngineering Earthquake and Dynamics Soil − okaiorp n h hoyo tesmeasurements stress of theory the and anisotropy Rock y optr n Geotechnics and Computers uvsi aee Soils Layered in Curves nentoa ora fIpc Engineering Impact of Journal International 32:5–7,Jnay2006. January 43(2):357–375, , 55:1–3,1987. 35(5):519–539, , oue3,pgs4345 1967. 483–485, pages 30, volume , pigrVra,scn dto,1988. edition, second Verlag, Springer . 3(-)1311 2003. 137(1-4):153–181, , iiu einlasfrbidnsadohrsrcue,ASCE/SEI structures, other and buildings for loads design Minimum 32:9–0,Jnay2006. January 43(2):193–205, , yaiso Structures of Dynamics 2()1715 2001. 127(2):167–175, , 2001. 127(2):157–166, , h hss h nvriyo ea tAsi,My1985. May Austin, at Texas of University The thesis, PhD . rceig f1t Conference 11th of Proceedings (-)4–8 1990. 9(1-2):47–58, , aiod,Tno nlss n Applications and Analysis, Tensor Manifolds, nentoa ora fCmuainlSineand Science Computational of Journal International 1:2 3,2018. 437, – 114:424 , ot oln nUAEsve,1991. Elsevier, USA in Holland North . oue2 ae 54,Richardson, 35–49, pages 2, volume , 911)8–4 eebr2003. December 29(1-10):81–94, , eso:2.Ags,22,15:04 2021, August, 26. version: etr oe nengineering. in notes Lecture . ae 2–2.Engineering 420–423. pages , 3104 of 2932 page: ae 273–282. pages , International C Trans. ACM oue75 volume , ora of Journal Interna- Physics Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et AS + tnadCommittee. Standard C++ ANSI DC. Washington ANSI/ISO, [ANS03] [ANS95] soil. liquefiable in response pile loaded Lateral interaction. Norris. soil-pile Gary on and based Ashour response Mohamed soil-pile lateral Modeling Norris. G. and Ashour M. [AN03] response Sesimic Yogachandran. Chelvarajah and Muraleetharan, K. Kanthasamy Arulanandan, Kandiah [AN00] [AMY97] ApidTcnlg oni xmlsapiaingiefrAC/E 11 esi vlainand evaluation seismic 41-13 ASCE/SEI for guide application soils. Examples layered in . groups Council pile Technology of Applied behavior Lateral Norris. G. and Pilling, P. Ashour, M. in algorithms [App18] projection closest-point of formulation the Pavlović, Andjelković,[APN04] Nenad Vladimir On Pérez-Foguet. A. and Armero F. [APLN15] the modelling into insight new A Félix Darve. Djéran-Maigre, and Irini [APF02] Prunier, Florent meshes Arairo, non-conforming Wahib of Coupling simulations. Ludwig. real-time nonlinear T. kinematic and for basis Boer, Taylor [APDMD12] de interaction. A A. Poulsen. soil-pile Noe Doreille, lateral Ak¸cay Peter Perdahcioˇglu, M. of and D. Andersen mechanics Sebastian Continuum Pak. S. Y. Ronald [APDdBL13] and Abedzadeh Farzad [AP19] inter- structure soil Jeremić. Earthquake works Boris assigned and and McCallen, clays, B. Nebojˇsa[AP04] over–consolidated Orbović, David Abell, and José A. sands for equations Constitutive Oka. F. and Adachi T. [AOMJ18] [AO82] In seismograms. synthetic of goodness-of-fit the of measure walls. Quantitative shear of Anderson. response G. John seismic the on rocking foundation force- of Effect nonlinear Anderson. L. abutment Donald Bridge [And04] Norris. Ancheta. David Gary Timothy and Ashour, [And03] Mohamed 1, Shamsabadi Anoosh [Anc10] [AN05] ytm–rgamn agaeC++ Language Systems–Programming Engineering Geoenvironmental and Geotechnical S/E 48-03 2003. 14882-2003, ISO/IEC Engineering Geoenvironmental and Geotechnical district. marina Fransisco San in Engineering deposits soil of etcncladGoniomna Engineering Geoenvironmental and Geotechnical Mechanics Engineering of Journal Engineering Earthquake on Conference Journal Engineering erfi feitn ulig ihadtoa omnayfrAC/E 11.Tcnclrpr,Federal report, Technical 41-17. ASCE/SEI 2018. for June commentary Agency, additional Management with Emergency buildings existing of retrofit interface. mass concrete-rock Sciences the at acteristics structure. variational gineering The i: elastoplasticity-part soils. chanics unsaturated of behaviour method. 2013. synthesis n/a–n/a, mode pages component a in derivatives. modal complete The I: Part 3 3-D, to response Dynamics in Structural differences and plants, Engineering power nuclear of action 1982. Grenoble, In sand. for 2010. Angeles, Los at California of University thesis, PhD Engineering design. seismic for prediction displacement-capacity ae /–/,2012. n/a–n/a, pages , 622–26 2015. 236, – 76:222 , 32:9–2,2002. 53(2):297–329, , 2(0:6–7,Otbr1997. October 123(10):965–974, , 3()1122 2005. 131(2):141–272, , eut fteItrainlWrso nCntttv eain o Soils for Relations Constitutive on Workshop International the of Results 2003. , niern hrceiaino ptal aibeerhuk rudmotions ground earthquake variable spatially of characterization Engineering http://reality.sgi.com/austern_mti/std-c++/faq.html okn ae o rf rpsdItrainlSadr o Information for Standard International Proposed Draft for Paper Working nentoa ora o ueia n nltclMtosi Geome- in Methods Analytical and Numerical for Journal International 3(1:3911,Nvme 2004. November 130(11):1309–1318, , nomto ehooy-PormigLnugs-C++ - Languages Programming - Technology Information 76:4819,My2018. May 47(6):1478–1495, , acue,BC,Cnd,Ags - 2004. 1-6 August Canada, B.C., Vancouver, , pi 95 o.N.AS 31/508 S WG21/N0687. ISO X3J16/95-0087 ANSI No. Doc. 1995. April , ak aaeic n eii eoic oeln fserchar- shear of Modelling Nedović. Velimir Lazarević, and Zarko ˇ atqaeEgneig&Srcua Dynamics Structural & Engineering Earthquake nentoa ora o ueia ehd nEngineering in Methods Numerical for Journal International 2()4048 a 2000. May 126(5):420–428, , 3()5052 ue2004. June 130(6):580–592, , 2003. June 129(6):404–414, , nentoa ora fRc ehnc n Mining and Mechanics Rock of Journal International SEJunlo etcncladGeoenvironmental and Geotechnical of Journal ASCE nentoa ora o ueia ehd nEn- in Methods Numerical for Journal International SEJunlo etcncladGeoenvironmental and Geotechnical of Journal ASCE × -,ad1Dexcitations. 1-D and 1-D, eso:2.Ags,22,15:04 2021, August, 26. version: 3104 of 2933 page: SEJunlof Journal ASCE ae 141–157, pages , SEJunlof Journal ASCE () 2019. 0(0), , aainCivil Canadian Earthquake 3hWorld 13th ora of Journal ANSI . ASCE , . Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et Atr ra.Amaueo atqaeitniy nRbr .Hne,editor, Hansen, J. Robert In intensity. earthquake of measure A Arias. Arturo Archer. Charles Graham [Ari70] Character- spheres: of assemblies three-dimensional of moduli elastic the [Arc96] On Roux. J.-N. and Agnolin I. Richards. G. Paul and Aki soil Keiiti of variability spatial of Effects Prevost. Jean and [AR08] Popescu, Radu Pecker, Alain Assimaki, [AR02] Dominic [APPP03] F lc n aˆkScogu rdcino nu nrysetu:atnainmdl n velocity and models attenuation spectrum: energy input broadband of SCEC Prediction from Halûk Sucuo˘glu. parameters and duration Alıcı of FS Validation Stewart. P Jonathan and Afshari Kioumars sink. energy nonlinear efficient Highly [AS16b] AL-Shudeifat. A. structures. Mohammad retaining cantilever on pressures earth Seismic Sitar. microp- Nicholas by [AS16a] and materials Atik granular Al in Linda localization of simulation element Finite model. Sture. cohesive-zone Stein [AS14] a and in Arslan friction Haydar and damage interface Combining Sacco. motions. Elio [AS10] and ground Alfano california Giulio of modeling Stochastic Silva. Walter [AS08] and Atkinson M. Gail [AS06] [AS00b] visualization. volume for method interactive haptic A criterion. Sobierajski. yield M. mohr-coulomb Lisa the and to Avila approximation S. hyperbolic Ricardo smooth A Sloan. S.W. and Abbo A.J. editors. Scott, F. Ronald [AS96] and Arulanandan Kandiah con- mixed under plasticity [AS95] soil in integration Implicit Axelsson. K. and Sture, S. Runesson, K. [AS93] Alawaji, H. poro– coupled of model multiplicative a of [ARSA92] implementation element finite and Formulation Armero. F. [ARS [Arm99] models. plasticity pressure–dependent of class a of integration numerical the On Aravas. N. [Ara87] Kai lhbiadSenSue ha adfraini ln taneprmnso sand. of experiments earth- strain plane california in for formation spectra band Shear source Sture. earthquake Stein of and Alshibli study Khalid empirical An Silva. Walt and crustal Atkinson shallow for M relations Gail attenuation spectral response Empirical Silva. [AS00a] J Walter and Abrahamson NA [AS97b] [AS97a] + K xlsn .Rnso,S tr,Y u n .Aaai hrceitc n nerto fundrained of integration and Characteristics Alawaji. H. and Yu, Y. Sture, S. Runesson, K. Axelsson, K. ] oe Plants Power 1996. rotation. and displacement particle the in Structures fluctuations and of Solids modeling and ization motion. ground 2003. surface on properties fGoehia n eevrnetlEngineering Geoenvironmental and Geotechnical of America of Society Seismological Engineering in Methods Numerical for Joournal pcrmscaling. spectrum motions. ground simulated platform 2014. January approach. continuum olar Engineering in Methods Numerical for Journal national Structures and Computers Problems Liquefaction Soil of response. 1992. undrained 16:737–756, and, drained for trol soils. silty of response conditions. saturated fully under Engineering strains finite at plasticity fGoehia n eevrnetlEngineering Geoenvironmental and Geotechnical of Visualization quakes. earthquakes. ultno h esooia oit fAmerica of Society Seismological the of Bulletin 7:0–4,1999. 171:205–241, , SN070-7779) 1996. 0-7803-3707(7/96), ISBN , ae 3–8.TeMIT rs,Cmrde ascuet,1970. Massachusetts, Cambridge, Press, M.I.T. The 438–483. pages , esooia eerhletters research Seismological atqaeEgneig&Srcua Dynamics Structural & Engineering Earthquake 534:1112,2008. 45(3-4):1101–1123, , —– betOine iieAnalysis Finite Oriented Object 43:2 4,1995. 441, – 54(3):427 , ae 9–0,—-. 195–203, pages , optr n Geotechnics and Computers .A akm,1993. Balkema, A. A. . 02:5–7,2000. 90(2):255–274, , uniaieSeismology Quantitative esooia eerhLetters Research Seismological ora fErhuk Engineering Earthquake of Journal nentoa ora o ueia ehd nGeomechanics in Methods Numerical for Journal International 81:417 1997. 68(1):94–127, , 419–46 1987. 24:1395–1416, , 3(0:3413,Otbr2010. October 136(10):1324–1333, , 2()4553 2000. 126(6):495–503, , eicto fNmrclPoeue o h Analysis the for Procedures Numerical of Verification 54:4–6,Jl 2008. July 35(4):548–562, , 85:4–8,2006. 68(5):542–582, , h hss nvriyo aiona Berkeley, California, of University thesis, PhD . 71:713 1997. 87(1):97–113, , nvriySineBooks, Science University . optrMtosi ple ehnc and Mechanics Applied in Methods Computer 51)23–11 2016. 45(13):2137–2161, , 76:3516,2016. 87(6):1355–1362, , olna Dynamics Nonlinear eso:2.Ags,22,15:04 2021, August, 26. version: (pca su o 1):1–41, No. Issue 7(Special , esi einfrNuclear for Design Seismic nentoa ora of Journal International 3104 of 2934 page: 2 nd 76:1905–1920, , ultno the of Bulletin dto,2002. edition, SEJournal ASCE SEJournal ASCE International Inter- IEEE , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et T nht,J twr,adN baasn rqec eedn idwn:Anon-stationary A windowing: dependent Frequency Abrahamson. NA and and Stewart, Hutchinson JP characterization W. Engineering Ancheta, TD John Abrahamson. A In Norman and Stewart, polycrystals. P Jonathan and Ancheta, crystals D Timothy of [ASA12] Micromechanics Asaro. J. Robert [ASA11] [Asa83] JseAtnoAel uetKmrSna n oi eeic aee ae ytei earthquake synthetic based Wavelet Jeremić. Boris liquefaction and shear-wave-based Sinha, for Kumar Guide Sumeet Juang. Abell, Hsein José Antonio C. and Stokoe, H. Kenneth shear Andrus, of D. studies Ronald numerical and Experimental Gupta. [ASJ15] B. Ram. and Shen, Aidanpää, H. Jan-Olov Hayley [ASJ04] ASCE-4. the for technique [ASG96] analysis Cost-effective Anastasopoulos. Ioannis and Sieber, Max Agalianos, Athanasios [ASC16] [ASA20] scandal. from recovering industry: power nuclear Korea’s South Andrews-Speed. Philip Hal and Alıcı Soner F [AS20] [AS18] Komr fhr,Jnta .Seat n aio .Sed.Clfri rudmto etclarray vertical motion ground California Steidl. H. of Jamison use and the Stewart, and P. techniques Jonathan anova-like Afshari, measures, Kioumars Sensitivity Sobol. Lotung, IM the and from Saltelli, waves Andrea shear Archer, of coherency GEB Spatial Stepp. C. J. [ASS19] and Schneider, F. Oceanographic J. applications Abrahamson, National for A. functions a, coherency N. part spatial Empirical 1, Stepp. vol. C. [ASS97] J. 1971, and 359-393 Schneider, F. J. (29). Abrahamson, inn A. N. Holiday Associates. & [ASS91b] Blume E. John 2019. - 10 V&V mechanics, solid computational [ASS91a] in validation and verification for Standard ASME-VV-10. Ap- validation: and [Ass71] verification through modeling computational of credibility Assessing ASME-VV-40. [ASM19] transfer heat and dynamics fluid computational and in dynamics validation and fluid motion verification computational for ground Standard [ASM18] in ASK14 ASME-VV-20. validation the and of verification Summary for Standard Kamai. ASME. Ronnie Committee and V&V Silva, J [ASM09b] Walter Abrahamson, A Norman [ASM09a] [ASK14] ehdfrsmltn ptal aibeerhuk rudmotions. ground earthquake variable spatially simulating for method In variability. amplitude and coherency motion Symposium ground earthquake of editors, 1983. Y, Theodore Wu review. Business and Law Energy Spectra ore o ahadsi tutr neato oeig testsigo ula oe lns In plants. power nuclear of testing Stress Installations modeling: Nuclear of interaction editors, Assessment structure Dalguer, Hazard L. soil and Fukushima and Y. path for sources evalualtion. potential cell. shear granular in layers 2016. Engineers, Civil of Society 2020. faulting. 21, strike-slip against bridges of design database. bootstrap. test. seismic large-scale Taiwan analysis. interaction soil–structure to 1971. DC, Washington, Administration, Aviation 9780791873168. and ISBN: 2019. Engineers, Mechanical of Society American report, Technical Engineers, Mechanical of Society American report, ISBN: Technical 9780791872048. 2018. - ISBN: 2009. 40 2018. V&V Engineers, devices medical Mechanical to plication of Society American report, Technical 2009(r2016). 9780791832097. - 20 V&V transfer. heat regions. crustal active for relation 42:1–3,2018. 34(2):611–637, , SE4Sadr o esi nlsso aeyRltdNcerStructures Nuclear Safety-Related of Analysis Seismic for Standard 4 ASCE atqaeSpectra Earthquake ora fSaitclCmuainadSimulation and Computation Statistical of Journal 2011. , mrcnSceyo ehnclEgnes e York New Engineers, Mechanical of Society American atqaeSpectra Earthquake kScogu lsi n nlsi erfutipteeg spectra. energy input near-fault inelastic and Elastic Sucuo˘glu. Uk ˆ 34–7 2020. 13:47–57, , dacsi ple Mechanics Applied in Advances SEJunlo niern Mechanics Engineering of Journal ASCE 54:0321,Nvme 2019. November 35(4):2003–2015, , tutrlSafety Structural atqaeSpectra Earthquake atqaeSpectra Earthquake etPatcsi hsc-ae al utr oesfrSeismic for Models Rupture Fault Physics-based in Practices Best 02:8–0,My2004. May 20(2):285–308, , AA 2015. IAEA, . atqaeEgneig&Srcua Dynamics Structural & Engineering Earthquake 01512 1991. 10:145–162, , 03:0515,2014. 30(3):1025–1055, , ()12,1991. 7(1):1–27, , oue2,pgs115 cdmcPress, Academic 1–115. pages 23, volume , 82:910 1997. 58(2):99–120, , 2009. , 2()1716 1996. 122(3):187–196, , eso:2.Ags,22,15:04 2021, August, 26. version: t APIIE International IASPEI/IAEE 4th atqaeSpectra Earthquake 3104 of 2935 page: SE American ASCE, . ora fWorld of Journal eqe.3282:1– , 02 in 2012. , Earthquake Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et SaaoAhre n ihlsZbrs netit rpgto nfiiedfrain spectral a – deformations finite in propagation Uncertainty Zabaras. Nicholas and Acharjee Swagato Zaglaller. A. V. and Aleksandrov D. A. Ayachit. [AZ05] Utkarsh pantabangan the of response Seismic Carreon. L [AZ67] Ronaldo and Weaver, J. Thomas [Aya15] Ashford, A. Schott Weber. J PDEs. Hans 2D and to Arfken approach B [AWC98] function George green’s based Wavelet Williams. R. John and mechanics. Amaratunga [AWC cardiac Kevin to theory shell of Application [AW99] A.Taber. L. [AW93] [A.TXX] JffByesadNra baasn mlctoso h ne-eidcreaino toggon mo- ground strong of correlation ground-motion inter-period of the of correlation Implications interperiod Abrahamson. A the Norman and of Bayless Jeff Evaluation Abrahamson. A com- Norman horizontal and average Bayless the for Jeff equations prediction Ground-motion Atkinson. [BA18b] M. G. the and from Boore radiation M. finite-fault D. Modeling Atkinson. [BA18a] M Gail and Beresnev A consol- Igor elastoplastic strain finite for framework mathematical [BA08] A Alarcón. Enruiqe spectral and a Borja – I. deformations Ronaldo finite in [BA97] propagation Uncertainty Zabaras. Nicholas and Acharjee Swagato [BA95] [AZ06] sigma. Single-station Atkinson. M. Gail piles. loaded Atkinson. laterally of John evaluation history Case Grajales. B. and [Atk06] Townsend, C. R. Anderson, B. J. [Atk93] [ATG03] [ASWQ JffByesadNra baasn umr fteb1 rudmto oe o ore am- fourier for model ground-motion ba18 the of Summary Abrahamson. A Norman epsilon and of correlation Bayless interfrequency Jeff the for model empirical An Abrahamson. A Norman and Bayless Jeff [BA19b] [BA19a] + WlimA rod ila .Wlo,FeeikCrsn ro hi,adLy .Rgl Transport Regel. L. Liya and Chait, Arnon Carlson, Frederick Wilcox, R. William Arnold, A. William 92] + Mhma .A-hdia,Ncoa irce,D aeQin lxne .Vkks arneA. Lawrence Vakakis, F. Alexander Quinn, Dane D. Wierschem, Nicholas AL-Shudeifat, A. Mohammad 13] oe uigcytlgot nacentrifuge. a in growth crystal during modes Computations neering tcatclgaga approach. lagrangian stochastic Russian. from Translation 1967. Holtz, D. Robert and Yegian, Mishac Dakoulas, Panos III In earthquake. phillipine 1990 editors, the in complex dam 2006. April print. Engineering Geoenvironmental and Geotechnical of Journal single-sided effective mitigation. highly shock a of for investigation sink experimental energy and non-linear Numerical vibro-impact Spencer. F. Billie and Bergman, in nsrcua ik In risk. structural on tions s. 10.0 and s 0.01 between periods simulations. spectral at psa %-damped 5 and pgv, Spectra pga, of ponent America of Society Seismological the of linearization. and formulation, variational Engineering laws, and Balance Mechanics 1: part idation 2006. April 22):2289–2312, approach. Lagrangian stochastic 0-07-707713-X. ISBN 1993. McGraww–Hill, 2013. 52:96–109, 2018. ltd pcr o rsa atqae ncalifornia. in earthquakes 2019. crustal 109(5):2088–2105, for spectra plitude spectra. amplitude fourier for etcnclSeilPbiainN.7,pgs9293 SE uut19.1998. 1998. August ASCE, 962–973. pages 75, No. Publication Special Geotechnical , ac 2008. March , rceig faSeilyCneec:Goehia atwaeEgneigadSi Dynamics Soil and Engineering Earthwuake Geotechnical Conference: Specialty a of Proceedings ultno h esooia oit fAmerica of Society Seismological the of Bulletin nItouto oteMcaiso ol n Foundations and Soils of Mechanics the to Introduction An h aaiwGie aallVsaiainApplication Visualization Parallel A Guide: ParaView The 03937 1993. 10:349–367, , rceig fte1t ..Ntoa ofrneo atqaeEngineering Earthquake on Conference National U.S. 11th the of Proceedings 2:4–7,1995. 122:145–171, , ultno h esooia oit fAmerica of Society Seismological the of Bulletin optrMtosi ple ehnc n Engineering and Mechanics Applied in Methods Computer optrMtosi ple ehnc n Engineering and Mechanics Applied in Methods Computer ahmtclmtosfrphysicists for methods Mathematical nrnii emtyo Surfaces of Geometry Intrinsinic 71:78,1997. 87(1):67–84, , ultno h esooia oit fAmerica of Society Seismological the of Bulletin ora fCytlGrowth Crystal of Journal ultno h esooia oit fAmerica of Society Seismological the of Bulletin nentoa ora fNnLna Mechanics Non-Linear of Journal International 2()1716 ac 2003. March 129(3):187–196, , 0()31–40 2018. 108(6):3413–3430, , XX XX. , mrcnMteaia Society, Mathematical American . 1:44,1992. 119:24–40, , eso:2.Ags,22,15:04 2021, August, 26. version: optrMtosi Applied in Methods Computer AT 1999. AAPT, . iwr,Ic,UA 2015. USA, Inc., Kitware, . eisi ii Engineering. Civil in Series . 0()15–00 2019. 109(3):1058–1070, , ω 3104 of 2936 page: spectrum. n 96(2):446–455, , 05 Pre- 2005. , Earthquake 195(19- , Bulletin ASCE Engi- , , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et MrjnBbc oncinbtencniumaddsrt oeso atclt aeil.I Stein In materials. particulate of models discrete and continuum between connection A Babic. Marijan [BAB [Bab95a] [BAB to subjected buildings adjacent of interaction Structure-soil-structure Arici. Yalin and Bybordiani Milad [BA19c] UhihBs.Epii nt lmn efcl ace ae o rnin he-iesoa lsi waves. elastic three-dimensional transient for layer matched perfectly notation. element dyan finite Explicit / Basu. vector Ushnish utilizing processing equation Symbolic Barhorst. A. A. method. sands. for element model finite [Bas09] Hypoplastic hierarchical Bardet. the P. to J. computing symbolic of application The [Bar97] Bardell. S. N. [Bar90] Version Banerjee. Report Technical Kumar Prasnata (psha). analysis measures. hazard seismic intensity probabilistic to vector-valued [Bar89] introduction using An Baker. assessment W. Jack response structural Probabilistic [Ban93] Baker. W Jack modeling finite-fault Stochastic Field. H [Bak13] Edward and cable- Johnson, A long-span Paul Atkinson, for M interaction Gail Beresnev, soil–structure A [Bak07] Kinematic Igor Niazy. AS and Abdel-Ghaffar, AM Betti, R [BAJF98] Baglio. Gaetano Marco [BAGN93] quality, mesh modeling element Finite Dunning. E. Cynthia and Andrews, M. David Burkhart, A. Timothy [Bag17] [BAD13] [BAB H .Badl .Aoa,adJ .Ceo.A mlctadiceetlfruainfrteslto of solution the for formulation incremental Backus. and George implicit An Chenot. L. J. and Abouaf, M. Braudel, J. H. [Bac97] [BAC86] [BAB + + + + Grl amate,AeadrAe,DvdEBrhlt ln iiet,VnaehCopla Daniel Choppella, Venkatesh Bibireata, Alina Bernholdt, E David Auer, Alexander Baumgartner, Gerald 05] Rbr .Bdiz ereAotlks ai .Boe ly .Cu,KvnJ oprmt,C Allin C. Coppersmith, J. Kevin Cluff, S. Lloyd Boore, M. David Apostolakis, George Budnitz, J. Robert 95b] Rbr .Bdiz ereAotlks ai .Boe ly .Cu,KvnJ oprmt,C Allin C. Coppersmith, J. Kevin Cluff, S. Lloyd Boore, M. David Apostolakis, George Budnitz, J. Robert 95c] Rbr .Bdiz ereAotlks ai .Boe ly .Cu,KvnJ oprmt,C Allin C. Coppersmith, J. Kevin Cluff, S. Lloyd Boore, M. David Apostolakis, George Budnitz, J. Robert 98] mrcnSceyo ii nier,My1995. May Engineers, Civil of Society American editor, Sture, netit n s feprs oue1 anrpr.Peae yteSno esi aadAnalysis Hazard Seismic Senior on the Guidance 1995. by Prepared August analysis: Laboratory, report. hazard National main Livermore seismic 1, Lawrence probabilistic NUREG-CR-6372, volume for (SSHAC). experts, Recommendation Committee of use Morris. and A. uncertainty Peter and Cornell, esi loading. seismic oe rmarsos pcrmwt plcto fpaedrvtvsdsrbto prediction distribution derivatives phase of application with 2017. Torino, spectrum di response Politecnico thesis, a from model Analysis Hazard Seismic Senior on the Guidance 1995. by August Prepared analysis: Laboratory, hazard National appendices. Livermore seismic 2, Lawrence probabilistic volume NUREG-CR-6372, for experts, (SSHAC). Recommendation Committee of use Morris. and A. uncertainty Peter and Cornell, nentoa ora o ueia ehd nEngineering in Methods Numerical for Journal International Vibration 1990. September Engineering in Methods Numerical for Journal national 1993. 2013. University, Stanford 2.0.1, Dynamics Structural & Engineering at Earthquake response nonlinear widespread ii. earthquake. california, northridge, 1994 sites. the soil from motions ground of bridges. supported modeling the with associated recommendations with review A tissue. methods: bone validation of and balance energy onl,adPtrA ors s ftcnclepr aes plctost rbblsi esi hazard seismic probabilistic to Applications panels: expert technical of Use Morris. analysis. A. Peter and Cornell, lsolsi rbes,b h nt lmn method. element finite the by , models. problems elastoplastic chemistry quantum high- initio of ab Synthesis of al. et class Krishnamoorthy, a Sriram for Hirata, IEEE programs So Harrison, parallel J performance Robert Gao, Xiaoyang Cociorva, 32:7–9,2005. 93(2):276–292, , 0()8389 1997. 208(5):823–839, , ikAnalysis Risk ultno h esooia oit fAmerica of Society Seismological the of Bulletin rceig f1t Conference 10th of Proceedings ora fBiomechanics of Journal otnu Mechanics Continuum atqaeEgneig&Srcua Dynamics Structural & Engineering Earthquake atqaeegneig&srcua dynamics structural & engineering Earthquake 84:6–6,1998. 18(4):463–469, , tcatcgon oinmto obnn ore mltd spectrum amplitude Fourier a combining method motion ground Stochastic h onayEeetMtosi Engineering in Methods Element Boundary The aidtPress Samizdat . 69:47–18,2013. 1488, – 46(9):1477 , SEJunlo niern Mechanics Engineering of Journal ASCE ae 9–9.EgneigMcaisDvso fthe of Division Mechanics Engineering 790–793. pages , 61)16–83 2007. 36(13):1861–1883, , optr Structures Computers 818–24 1989. 28:1181–1204, , http://samizdat.mines.edu 86:4211,1998. 88(6):1402–1410, , 72:5–7,2009. 77(2):151–176, , () 2019. 0(0), , 25:1–3,1993. 22(5):415–430, , eso:2.Ags,22,15:04 2021, August, 26. version: crwHl okCompany, Book Hill McGraw . 25:0–1,1986. 22(5):801–814, , ora fSudand Sound of Journal 3104 of 2937 page: 116(9):1973–1994, , rceig fthe of Proceedings 1997. , PhD . Inter- Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et Klaus-Jürgen Bathe. [Bat82] [BBG [BBG [BBE time implicit simple editor. a Bazant, Zdenek dynamics: nonlinear in momentum and energy Conserving Klaus-Jürgen Bathe. procedures. analysis [Baz88] element finite in Klaus-Jürgen developments Bathe. recent on references and remarks [Bat07] Some Bathe. J. K. [Bat96] [Bat91] [BBG poly- lagrange using method sfe efficient An Fogli. M. Chauvièreb, and C. Bressolettea, Ph. Barotha, [BBD J. [BBCF07] approach An polynomials: hermite using method Sfe Fogli. M. and Bressolette, Bodé, Ph. L. Baroth, [BBC J. Brown. E.T. and Brady B.H.G. editors. Bertero, [BBBF06] V.V. and Bozorgnia coefficients. soils. radiation saturated Y. body-wave partly Average and Boatwright. saturated John in [BB04b] and stress Boore effective M of David aspects Some Blight. GE and [BB04a] Bishop W Alan strain finite any for relations [BB84] constitutive small–strain of generalization strain Finite failure. Zdenˇek Baˇzant. [BB63] of mechanics in laws Scaling Baˇzant. Zdenˇek P. [Baˇz96] [Baˇz93] + + + + + + Sts aa,Ki ucemn itrEjhu,WlimD rp,Dns asi,MthwG Knepley, G. Matthew Kaushik, Dinesh Gropp, D. William Eijkhout, Victor Buschelman, Kris Balay, Satish 04] Jc ae,Jnta ry ..Cos,GeoyDiren oadO abre,Jh opr Mar- Hooper, John Hamburger, O. Ronald Deierlein, Gregory Crouse, C.B. Bray, Jonathan Baker, Jack 17] Sts aa,Ki ucemn ila .Gop iehKuhk ate .Kely osCurfman Lois Knepley, G. Matthew Kaushik, Dinesh Gropp, D. William Buschelman, Kris Balay, Satish 01] Hnhn a,Jcb ilk mrGats oksF alvks ai .O’Hallaron, R. Jonathan R. O’Hallaron, R. David David Kallivokas, Kallivokas, F. Loukas F. Ghattas, Omar Bielak, Loukas Jacobo Bao, Ghattas, Hesheng Omar Bielak, Jacobo Bao, 98] Hensheng 96] DE-.Bujt,J aoh .Dfu,S ihlPnel,adB asn tcatcfiieelements finite Stochastic Masson. B. and Michel-Ponnelle, S. Dufour, F. Baroth, J. Bouhjiti, D.E.-M. 20] osCrmnMIns ar .Sih n ogZag ES sr aul ehia eotANL- Report Technical manual. 2004. users Laboratory, PETSc National Zhang. Argonne Hong 2.1.5, and Revision Smith, - F. 95/11 Barry McInnes, Curfman Lois buildings. containment structures nuclear concrete of large of analysis scheme. integration 0-13-301458-4. Structures & Computers hwhk n iegX.Lresaesmlto featcwv rpgto nhtrgnosmdaon media heterogeneous in propagation wave elastic of simulation computers. Large-scale parallel Xu. Jifeng and Shewchuk, computers. parallel on modeling motion ground Earthquake Xu. Jifeng In and Shewchuk, Richard Jonathan 1988. 26–29 august Sons, and Wiley John University, western cne,BryF mt,adHn hn.PTcWbpg,2001. page, Web PETSc Zhang. Hong and Smith, F. Barry McInnes, 1998. parameters. uncertain Engineering with and problems Mechanics mechanical Applied nonlinear in to Application nomials: P. May CA, Jonathan Technical Richmod, Naeim, Center, buildings. Farzad Research tall Moehle, Engineering of Earthquake P. design Pacific Jack seismic 2017/05, 2017. Malley, performance-based No. O. for Report PEER Guidelines James Report Wallace. Mahin, John Stephen and Maffei, Stewart, Joe Lew, shall parameters. uncertain with Engineering problems and mechanical Mechanics nonlinear solving for 2004. edition, 3rd Boston, ; Dordrecht 2004, Engineering Performance–Based America of Society logical Geotechnique split. 1996. volumetric–deviatoric 22):2887–2897, additive and tensor 1993. 119(9):1828–1844, uecmuig’96 Supercomputing 33:7–9,1963. 13(3):177–197, , optrMtosi ple ehnc n Engineering and Mechanics Applied in Methods Computer optr structures & Computers iieEeetPoeue nEgneigAnalysis Engineering in Procedures Element Finite iieEeetPoeue nEgneigAnalysis Engineering in Procedures Element Finite 1996. , ahmtclMdln fCepadSrnaeo oceeSimposium Concrete of Shrinkage and Creep of Modeling Mathematical 02:0–0,1991. 40(2):201–202, , 45:6512,1984. 74(5):1615–1621, , 9(44)67–51 etme 2006. September 195(44-47):6479–6501, , R rs,2004. Press, CRC . okmcaisfrudrrudmining underground for mechanics Rock ula niern n Design and Engineering Nuclear 09srieblt ne hrohdomcaia loads thermo-hydro-mechanical under serviceability 2019 ˘ 9(54)41–49 etme 2007. September 196(45-48):4419–4429, , atqaeEgneig rmEgneigSimlg to Seismology Engineering From Engineering: Earthquake 57:3–4,2007. 85(7):437–445, , nentoa ora fSld n Structures and Solids of Journal International SEJunlo niern Mechanics Engineering of Journal ASCE 7:180 2020. 370:110800, , http://www.mcs.anl.gov/petsc eso:2.Ags,22,15:04 2021, August, 26. version: rnieHl n. 96 ISBN 1996. Inc., Hall Prentice . rnieHl n. 1982. Inc., Hall Prentice . optrMtosi Applied in Methods Computer lwrAaei Publishers, Academic Kluwer . 5(-)8–0,January 152(1-2):85–102, , ultno h Seismo- the of Bulletin 3104 of 2938 page: optrMethods Computer 03case 2013 ˘ 33(20- , North- . , . Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et [BBG A aeje ..Clu,adR a.Ipc ae ieadnnierrsntn eaaeilchain. metamaterial resonating [BCJ nonlinear wideband based Impact Das. R. and Calius, E.P. Banerjee, A. [BCG singularities. [BCD18] with beams euler-bernoulli of solutions form Closed geophysical Caddemi. and S. tensor and Biondi elastic B. the of Decomposition and Sébastien Chevrot. [BCC ratio and Browaeys spectral Thomas response Jules vertical-to-horizontal The [BC05] Campbell. W analysis. Kenneth seismic-hazard probabilistic and in Bozorgnia effects Yousef soil-site [BC04d] Nonlinear Cornell. Allin C. and Bazzurro Paolo domains. unbounded of elastodynamics transient for [BC04c] layers matched Perfectly un- Chopra. K. of A. elastodynamics and Basu time-harmonic U. for [BC04b] layers matched Perfectly Chopra. K. Anil and Basu Ushnish [BC04a] Christian. T. John and Baecher In B. (VPSHA). Gregory analysis hazard [BC03b] seismic probabilistic Vector-valued equations. Cornell. constitutive CA and incremental Bazzurro for P technique integration linearized A Choucair. W. [BC03a] interaction and soil-structure Bardet P. non-linear for J. input seismic effective the On Christiano. finite Paul [BC02] nonlinear and of Bielak solution Jacobo design. the for drainage procedures to practical relation Some their Cimento. and P [BC91] media Arthur porous and Jürgen of Bathe Klaus properties Hydraulic Corey. T A and [BC84] Brooks H R Liquefaction-induced [BC80] Chang. Dongdong and Kutter, structural L. for Bruce records Boulanger, of W. number Ross the Brandenberg, [BC64] On J. Scott Iervolino. Iunio and Baraschino, Roberto Baltzopoulos, Georgios [BBKC07] [BBI19] + + + + AanBmegr rn hlna,PtikJl,Ja lzbt oet,adJa u eo.Absorbing Teron. Luc Jean and Roberts, Elizabeth Jean Joly, Patrick Chalindar, Bruno Bamberger, Alain 88] Jla .Bme,KvnJ oprmt,Ra .Cpesih ahy .Hno,Aag Mangongolo, Azangi Hanson, L. Kathryn Coppersmith, T. Ryan Coppersmith, J. Kevin Bommer, J. Julian 15] PtrBon ao ole,KihGat lnHnmrh tvnLe a enls auSerban, Radu Reynolds, Dan Lee, Steven Hindmarsh, Alan Grant, Keith Collier, Aaron Brown, Peter 05] Dne ae,Jcb ilk a ioi hmsHgto,adDne aioih ogtm stable Long-time Rabinovich. Daniel and Hagstrom, Thomas Givoli, Dan Bielak, Jacobo Baffet, Daniel 12] e .Saod n lu .Srse.ASHClvl3poaiitcsimchzr nlssfranew-build a for analysis Pe- hazard seismic Shelembe, probabilistic Refilwe 3 Africa. level South Scherbaum, SSHAC in A Frank Strasser. site Rodriguez-Marek, O. nuclear Fleur Adrian and Rathje, Stafford, J. M. ter Ellen Neveling, Johann Structures and Solids of Journal elastodynamics. Engineering for and conditions boundary absorbing high-order 09 oeme 1988. Novermber 1049, USA. California, Livermore, Laboratory, equa- DIfferential/ALgebraic National and Livermore Nonlinear Lawrence of Computing, (SUite SUNDIALS Solvers). Woodward. tion Carol and Shumaker, Dan Mechanics Non-Linear of Journal International applications. spectra. design vertical and v/h simplified developing Engineering for procedures tentative America of Society Seismological the of Bulletin Engineering in 2004; Methods Ibid. Numerical for Journal International implementation. 2003. finite-element Engineering England, and and 8SQ, theory PO19 domains: Sussex bounded West Chichester, Gate, Southern Atrium, The 0-471-49833-5. Ltd., ISBN Sons & Wiley engineering earthquake on conference national US 7th the of Geomechanics in Methods Analytical and Numerical for Journal International systems. equations. element ASAE Trans. crusts. spreading laterally Engineering and Geoenvironmental groups pile and between transfer load of softening PBEE. in estimation risk onaycniin o alihwaves. rayleigh for conditions boundary atqaeEgneig&Srcua Dynamics Structural & Engineering Earthquake 61 (2:7–0,2004. 8(02):175–207, , ()2–08 1964. 7(1):26–0028, , epyia ora International Journal Geophysical (1):156–157. http://www.llnl.gov/CASC/sundials/ 4-4()2 7 2012. 37, – 241-244(0):20 , 9(11)13–35 ac 2003. March 192(11-12):1337–1375, , optrMtosi ple ehnc n Engineering and Mechanics Applied in Methods Computer atqaeEgneig&Srcua Dynamics Structural & Engineering Earthquake atqaeSpectra Earthquake 291)32–04 2005. 42(9-10):3027–3044, , 3()9–0,Jnay2007. January 133(1):91–103, , IMJunlo cetfi n ttsia Computing Statistical and Scientific on Journal SIAM eiblt n ttsisi etcnclEngineering Geotechnical in Statistics and Reliability 0:3–4,2018. 103:138–144, , 5()6768 2004. 159(2):667–668, , 46:1022,Dc2004. Dec 94(6):2110–2123, , 12:6–9,2015. 31(2):661–698, , 21:0–1,1984. 12(1):107–119, , ac 05 etrfrApidScientific Applied for Center 2005. March , 98:0917,Fbur 04 Erratum: 2004. February 59(8):1039–1074, , ae 12,2002. 21–25, pages , optrMtosi ple Mechanics Applied in Methods Computer optrMtosi ple Mechanics Applied in Methods Computer eso:2.Ags,22,15:04 2021, August, 26. version: 85:8–0,2019. 48(5):489–506, , SEJunlo Geotechnical of Journal ASCE 51:–9 1991. 15(1):1–19, , 21:98,1980. 22(1):59–85, , ora fEarthquake of Journal 3104 of 2939 page: International 9(6):1016– , Proceedings John . Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et [BCK LcBaos ulam amn n rn ´v.Cnurn ubrcuce P implementation GPU a - cruncher number Lévy. Concurrent Bruno and Caumon, Guillaume Buatois, Luc [BCL09] ABnvn-lmn,FacsoLoe-las,adDeoAd´sBaoGn´lz eineeg input energy Andrés Bravo-González. Design Diego López-Almansa, and Francisco Benavent-Climent, A [BCLABG10] ZeˇkBˇatadSeDiPn.Mcaisbsdsaitc ffiuers fqairtl structures quasibrittle of risk failure of statistics Mechanics-based Pang. Dai Sze Zdenˇek Baˇzant and [BDSS20] [BDP06] existence and uniqueness Controllability, Prisco. di Claudio and properties Dattola, mechanical Giuseppe the Buscarnera, [BDH Giuseppe of analysis Statistical Darwin. David and Dahnke, Jason Bournonville, Matt [BDdP11] double- In the [BDD04] of sand. generalization loose A saturated Abrahamson. in A liquefaction Norman flow and for Alessandro, model Di Carola A Boore, [BdBG M Drescher. David A. equa- and element finite Birgisson nonlinear B. of solution automatic the On [BDAA14] Dvorkin. problems. Eduardo nonlinear and Klaus-Jürgen for Bathe algorithms displacement Incremental geomechan- Dhatt. in Gouri [BD96] problems and for Batoz model Jean–Louis fluid-solid coupled A Williams. R. [BD83] J. and simple cyclic Cook, bi-directional K. low-compliance B. A Boutt, Seed. F. B. D. R. [BD79] and Seed, duration B. H. and Chan, fourier K. empirical C. NGA-West2 Boulanger, W. Scherbaum. R. Frank and [BCW10] Cotton, Fabrice Bora, Singh Sanjay [BCSS93] moderate- for spectra input [BCS18] energy Design Lopez-Almansa. F and Pujades, LlG Benavent-Climent, A [BCS [BCPLA02] + + + + Sna ig oa arc otn rn cebu,Bnai dad,adPoaTaes.Stochastic Traversa. Paola and Edwards, Benjamin Scherbaum, Frank Cotton, Fabrice Bora, Singh Sanjay 17] Rs olne,CrsiaJCra,BueLKte,Dne isn n ba bhr.Seismic Abghari. Abbas and Wilson, W Daniel Kutter, L Bruce Curras, J Christina Boulanger, W Ross 99] Ei oa,KrnDvn,Rbr epy rc ediko,WlimF icel ate St. Matthew Mitchell, F. William Hendrickson, Bruce Heaphy, Robert Devine, Karen Boman, Erik ] NndBáic e´ eBrt atrGrte aeW ury ilsPjuirCbt itrSaouma, Victor Pijaudier-Cabot, Gilles Murray, W. Dave Gerstle, Bićanić, Walter Nenad Borst, René de 93] ´ olpl-tutr neato xeiet n analyses. and Engineering experiments interaction soil-pile-structure fagnrlsas iersolver. linear sparse general a of 09 oapa,aalbeat available appear, to 2009. pcr o oeaet-ihsimct ein ae nclminearthquakes. colombian on based regions seismicity engineering earthquake moderate-to-high for spectra 2008 ha ni a,Dmti as ln mru n aii ahss oioigo itrclmasonry historical a of Monitoring Sarhosis. Vasilis seismicity. and induced Smyrou, of Eleni case Dais, in Dimitris structure Bal, Engin Ihsan reinforced of 1993. CU/SR- analysis February Report element Boulder, Series at finite Colorado Research of of Mechanics University aspect Structural CEAE, Computational and of Engineering Department Yamazaki. 93/3, Structural Jun structures. and concrete Willam, J. Kaspar Geoteknikermöte n ieeeto aeyfactors. safety 2006. on effect size and Vaughan. http://www.cs.sandia.gov/Zoltan/ Courtenay tions and John, laws. constitutive elastoplastic for criterion Structures and mathematical Solids A of response: Journal and incremental Engineering the Structural of Kansas, of University The report, 2004. Technical Kansas, bars. Laboratory, Materials reinforcing of weight and exercise. validation bbp SCEC the in use America its of Society and Seismological model spectral source corner-frequency tions. Engineering in Methods Numerical for Journal national production. sand to Geomechanics Application ics: apparatus. shear spectra. response adjustable European generate crustal to shallow models for variabilities associated and parameters attenuation site earthquakes. and path source, regions. seismicity adaNtoa aoaoisadNtoa nttt fSadrsadTechnology. and Standards of Institute National and Laboratories National Sandia . . optr Structures & Computers 2()7079 1999. 125(9):750–759, , ultno atqaeEngineering Earthquake of Bulletin al iw 2010. View, Early , 1996. , etc.TsigJ., Testing Geotech. atqaeegneig&srcua dynamics structural & engineering Earthquake 01)12–18 2010. 30(11):1129–1148, , http://alice.loria.fr/index.php/publications.html?Paper=CNC@ 756:7–7,1983. 17(5-6):871–879, , 81)16 88 2011. 1878, – 48(13):1867 , 0()28–38 2014. 104(5):2387–2398, , rceig fteNtoa cdm fSciences of Academy National the of Proceedings nentoa ora fPrle,Eegn n itiue Systems Distributed and Emergent Parallel, of Journal International 61:64,1993. 16(1):36–45, , nentoa ora fAcietrlHeritage Architectural of Journal International nentoa ora o ueia n nltclMtosin Methods Analytical and Numerical for Journal International otn aaMngmn evcsfrPrle Applica- Parallel for Services Data-Management Zoltan: 51)43–51 2017. 15(11):4531–4561, , atqaeSpectra Earthquake 416–27 99 hr Communications. Short 1979. 14:1262–1267, , ora fGoehia n Geoenvironmental and Geotechnical of Journal 15:1117,2002. 31(5):1151–1172, , ae2 2018. 2, page , eso:2.Ags,22,15:04 2021, August, 26. version: 103(25):9434–9439, , 3104 of 2940 page: oldnmc and dynamics Soil ()11,2020. 0(0):1–18, , ultno the of Bulletin International Nordiskt Inter- , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et FE et n .Ged.Cnegnertsfrfiieeeetapoiain o tcatcpartial stochastic for approximations element finite for rates Convergence problems. elastoplastic Gjerde. to J. method and decomposition Benth domain F.E. a of Application differential Gilormini. P. partial and elliptic for Badea method L. localization collocation embedded stochastic A with element Tempone. [BG98] finite R. and A F, Babuˇska, Nobile Engelmann. I. E. Bruce soil for and account [BG94] Fish, to geostatistics Jacob using Belytschko, assessment risk Ted Liquefaction Faber. H. Michael [BFT07] and Baker W. Jack scheme. Newmark Stochastic Fleury. [BFE88] G. and freedom. Bernard P. of elements. plate degrees for rotational lines hinge with Embedded element Fish. membrane [BF08] Jacob triangular and Belytschko A Ted Felippa. A. C. and [BF02] Bergan motion. G. of P. Equations Bianchi, i: G. rocks. and saturated Sawczuk of A. Dynamics [BF89] In Beskos. E. experiment. Dimitri and Theory material plasticity: isotropic metal [BF85] initially of an Models of Besseling. deformations F. creep J. and plastic, [Bes89] elastic, of theory A Besseling. F. Sture, J. Stein In [Bes85] engineering. offshore to applied mechanics computational in Challenges Bergan. P˚al G. [Bes58] Hin- E. In Bernsp˚ang.Lars mechanics. structural [Ber95] in methods solution iterative – incremental Automated P˚al Bergan. [Ber91] the of implementation Parallel elements. Markley. coupled K. using and soil Elman, C. unsaturated Babuˇska, H. I. of [Ber82] modeling numerical and Theoretical Behbehani. Fathemah [BEM92] engineering. geotechnical in [Beh17] on factors method human finite–element and the Reliability of Bea. implementation parallel Robert of aspects Some Elman. [BEF C. H. Babuˇska and I. [Bea06] [BE89] EsnBrn hlpeRB elo ivnS iia n ahnSae.Aclrtn engineering Accelerating Shauer. Nathan and Vieira, S. Gilvan Devloo, R.B. Philippe Borin, Edson [BDVS15] + B .Bom .D nehr,E .Frt .H il n .R Krathwohl. R. D. and Hill, H. W. Furst, J. E. Engelhart, D. M. Bloom, S. B. 56] 1 aur 2002. January 61, Mechanics goals educational of classification the objectives; ieeta equations. differential Structures and Solids of Journal International data. input random with equations zones. variability. spatial Engineering and Mechanics Engineering and Mechanics Applied in Methods Computer 1985. Publishers, editors, creep. secondary and recovery, creep Mechanics strain–hardening, anisotropic showing 1995. May Engineers, Civil of Society editor, 1991. May Göteborg, Technology, Sweden, of University 91:6. Chalmers Publication Mechanics, Structural of Department 1982. U.K., Swansea Press, Pineridge editors, 41–62. Taylor, pages C. 2, and chapter Owen, D.R.J. ton, 1992. shared–memory.November a on method 2017. Davis, California of University thesis, Master’s 1956. Inc., Co., McKay Engineering Geoenvironmental and architecture. passing message otaeo oenmlicr processors. multi-core modern on software optrMtosi ple ehnc n Engineering and Mechanics Applied in Methods Computer rceig f1t Conference 10th of Proceedings lsiiyTdy oeln,MtosadApplications and Methods Modelling, Today: Plasticity 1()9295 a 1989. May 115(5):982–995, , ae 2–3,Dcme 1958. December 529–536, pages , trtv n dpieSlto ehiusi opttoa Plasticity Computational in Techniques Solution Adaptive and Iterative SEJunlo etcncladGoniomna Engineering Geoenvironmental and Geotechnical of Journal ASCE tc.Soh Rep. Stoch. Stoch. 66–6 1989. 76:67–86, , ora fCmttoa n ple Mathematics Applied and Comutational of Journal IMJunlo cetfi n ttsia Computing Statistical and Scientific of Journal SIAM 3()6163 a 2006. May 132(5):631–643, , IMJ ue.Anal. Numer. J. SIAM ae 94.EgneigMcaisDvso fteAmerican the of Division Mechanics Engineering 29–44. pages , 33336 1998. 63:313–326, , dacsi niern Software Engineering in Advances eetAvne nNnLna opttoa Mechanics Computational Non–Linear in Advances Recent 15:4–5,1994. 31(5):643–656, , oueHnbo :CgiieDmi.NwYr,D. York, New Domain. Cognitive I: Handbook volume , rbblsi niern Mechanics Engineering Probabilistic 53:0513,2007. 45(3):1005–1034, , 02–9 1985. 50:25–69, , ae 713 leirApidSciences Applied Elsevier 97–113. pages , 05–9 1988. 70:59–89, , eso:2.Ags,22,15:04 2021, August, 26. version: hp SEJunlo Geotechnical of Journal ASCE optrMtosi Applied in Methods Computer SEJunlo Engineering of Journal ASCE vrino h nt element finite the of -version 47–4 ue2015. June 84:77–84, , SEJunlo Applied of Journal ASME aooyo educational of Taxonomy 71717 1989. 27:157–187, , 3104 of 2941 page: :42,2008. 1:14–23, , 13(6):1433–1459, , h thesis, PhD . 17(1):45– , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et SdpS htahre.Fnt lmn oeln ftetniesri otnn eaiu fplane of behaviour softening strain tensile the of modelling element Finite Bhattacharjee. S. loss Sudip coherency on properties soil random and topography irregular of Influence Hao. Hong and Bi Kaiming regulators. as [Bha93] platforms Multi-sided rules: Platform Hagiu. Andrei and Boudreau Kevin In convection-dominated [BH10] for matrices. formulations galerkin stiffness - element upwind/petrov Streamline ”good” Hughes. deriving T.J. and for Brooks approach A. new A [BH08] under Hanssen. aggregate L. polycrystalline and a of Bergan distortion G. plastic P. the of [BH82] theory A Hill. Rodney waves. of and computation Bishop numerical JFW the for conditions [BH76] accuracy On Turkel. E and of Goldstein, theory the C.I and Bayliss, dislocations A of distributions Continuous Stroh. [BH51] N. A. and Gardner, T. R. substructures. L. vibrating Bilby, of A. reduction B. modal [BGT85] Optimal Patlashenko. Igor and Givoli, Dan Barbone, E. Paul [BGS57] [BGP03] I ausa .Gibl n .Pt˚rna h rbe fslcigtesaefntosfra for functions shape the selecting of problem Pitk˚aranta. The J. and Griebel, Babuˇska, M. I. [BGP89] management Efficient Smith. F. Barry and McInnes, Curfman Lois Gropp, [BGO D. William Balay, Satish buena sand-structure for yerba model elastoplastic and strain-hardening A treasure Mortara. at G and response Ghionna, Nicola Site Vito Boulon, M [BGMS97] Dreger. Douglas and to Glazer, subjected D. media layered Steven isotropic Baise, transversely G. in interaction Laurie [BGM03] Soil-structure scientists. Gao. for Xi media and social Ba to scientists. Zhenning introduction for An media Goldstein. social C. to Miriam [BGD03] introduction and An Bik M. Holly Goldstein. C. Miriam effects. [BG17] and scale and Bik pressure Pore M. rocks: Holly of properties Mechanical Gueguen. [BG13b] Y. and Bouteca M. [BG13a] [BG99] + Jcb ilk oetW rvs i .Osn iad aod,Load Ram´ırez-Guzmán, Leonardo Taborda, M. Ricardo Steven Olsen, B. Kim Graves, W. Robert Bielak, Jacobo 10] eis oilSineRsac Network Research dev/AbsByAuth.cfm?per_id=110372 Science Social Series, oceestructures. concrete 2010. 10.1002/eqe.1077, DOI: motions. View ground Early seismic spatial of equations. navier-stokes incompressible the Engineering on and Mechanics emphasis Applied particular with flows 1976. London, Press, Academmic 483–497. pages 2, volume editor, Whiteman, R. J. 1951. 42(327):414–427, stresses. combined Physics Computational of Journal 1957. Roosevelt, Avènue Franklin 50. Bruxelles, de In plasticity. Engineering in Methods Numerical for Journal International element. finite a,GoryP l,Dne oe,Toa .Jra,Pii .Mehig onUbnc iegCui, sets. simulation Yifeng three Urbanic, of John Verification Maechling, J. scenario: earthquake Philip shakeout Jordan, P. International The H. Journal H. Thomas Juve. and Roten, Gideon Daniel Bruaset, and Ely, M. P. Geoffrey A. Day, Arge, E. In libraries. software numerical 1997. oriented editors, object Langtangen, in parallelism of loading. cyclic 2003. and monotonic under interface 2003. June california. islands, waves. sh plane incident 2013. 2013. 04 11(4):e1001535, Technology and Science IX nentoa ora o ueia ehd nEngineering in Methods Numerical for Journal International e og` sItrainld Mèchanique Appliquèe de Congrès International SEJunlo etcncladGoniomna Engineering Geoenvironmental and Geotechnical of Journal ASCE h odn dnug,adDbi hlspia aaieadJunlo Science of Journal and Magazine Philosophical Dublin and Edinburgh, London, The niern Computations Engineering 8()3544 2010. 180(1):375–404, , oenSfwr ol nSinicComputing Scientific in Tools Software Modern 46:0–1,1999. 54(6):703–714, , AEA Icneec,TeMteaiso iieEeet n Applications and Elements Finite of Mathematics The conference, II MAFELAP hc n Vibration and Shock 93:9 0,1985. 404, – 59(3):396 , 219–29 1982. 259, – 32:199 , ATQAEEGNEIGADSRCUA DYNAMICS STRUCTURAL AND ENGINEERING EARTHQUAKE ). ae –9 08 ( 2008. 1–29, pages , 07 2017. 2017, , ahmtcladcmue modelling computer and Mathematical 02521 1993. 10:205–221, , 73139 2003. 57:341–369, , http://papers.ssrn.com/sol3/cf_ oueVI,pgs3–4 Universitè 35–44, pages VIII, volume , ae 6–0.Birkhäuser Press, 163–202. pages , eso:2.Ags,22,15:04 2021, August, 26. version: 819–98 1989. 28:1891–1908, , optrMtosin Methods Computer 3104 of 2942 page: 37(5-6):623–630, , 129(6):415–426, , okn Paper Working LSBiology PLOS Geophysical LSBiol PLoS i Gas & Oil p –type , , , , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et K-.Bte .Kj´,adJ aca.Sm eeomnsi ehd o ag tanelasto–plastic strain large for methods in developments Some Walczak. J. Kojić, and M. Bathe, K.-J. results. numerical elastodynamics. for refinement mesh Rodr´ıguez. Molding Space–time J. and Bécache, metamaterials: Joly, P. E. seismic on Experiments sites. Guenneau. [BKW87] rock S. generic and for Enoch, amplifications S. Site Javelaud, Brûlé, Joyner. H. S. B E. welded William of and development [BJR05] Boore and M anchorage on David coating epoxy of Effects Jirsa. O. James and [BJEG14] Bartoletti J. Stacy grond ’–Raphson’? of was Who Estimation Johnson. stress. Bićanić H. Joyner. effective N. K. of [BJ97] B. and principle William The and Bishop. Page, W Alan A. Robert III, [BJ95] Oliver A. solids. Adolph porous Boore, of [BJ78] M deformations David finite of Theory media. [Bis59] porous Biot. in A. propagation M. acoustic and deformation of Mechanics [BIPJ78] Biot. M.A. consolidation. three-dimensional of theory [Bio72] General Biot. M.A. [Bio62] systems. building-foundation [Bio41] non-linear of response Dynamic Bielak. Jacobo plasticity. elasto computational in state [BIK stress contact of Bićanić. evaluation Nenad Exact Pankaj [Bie78] earth- and variability, Uncertainty, [Bić89] Abrahamson. A Norm and Hanks, C Thomas Baltay, S Annemarie [BHB [BHA17] ZeˇkP azn n hnziL.Mdlso utr:Sz ffc u ofatr ntto nboundary in initition elasto–plastic fracture to of due integration effect Size Implicit rupture: I: of part Modulus plasticity, Li. Cam–clay Zhengzhi BaˇzantZdenˇek and P. and Lee. sand R. between Seung friction and dynamic Borja and I. static Ronaldo of study Experimental Leonards. and GA induced [BL93] and under Brumund tower WF mine a on effects rocking Seismic [BL90] Zembaty. Z. Ku´s, and Bońkowski, J. P.A. [BL73] seismic-structural NRC of Evaluations Zhou. [BKZ21] Zhiguang and Konstandinidis, Dimitrios Budnitz, J. Robert [BKZ15] + + VA rtv ..Iynhno ..Kzesv .K i,adNF ooo.Hmgnoshorizontal Homogeneous Morozov. N.F. and Lin, T.-K. Kuznetsov, S.V. Ilyanshenko, A.V. Bratov, V.A. 20] Jcb ilk ohaiHsd,HsegBo iegX,adOa hta.Oe sto rthree- or two- vs One- Ghattas. Omar and Xu, Jifeng Bao, Hesheng Hisada, Yoshiaki Bielak, Jacobo 00] eray1941. February Computations neering In valleys. sedimentary in effects dimensional nlss nE ãee l,editor, al., Oñate et E. In analysis. Engineering and Mechanics Applied in Methods Computer waves. surface fabric. wire 1978. US-NRC, 78-509, Report File Open parameters. motion 1972. January 21(7):597–620, Physics analysis. dimensional and foundations Mathematical Mechanics barriers: seismic vertical and Dynamics Structural 2000. equations. 2017. prediction 107(4):1754–1772, ground-motion in physics quake oia oit fAmerica of society logical layer. relations. constitutive materials. constuction typical earthquakes. natural DC Engi- Washington, Commission, of Regulatory Division Nuclear Commission, modular U.S. Regulatory small 2015. Research, Nuclear Regulatory December to States Nuclear 20555-0001, applicability United of for Office 7193, tools neering, NUREG/CR simulation-evaluation and (SMRs). guidance, reactors regulatory and regulations SEJunlo tutrlEngineering Structural of Journal ASCE 34:4219,Arl1962. April 33(4):1482–1498, , 46–6 2020. 44:61–66, , C Journal ACI hs e.Lett. Rev. Phys. ()1–0 1978. 6(1):17–30, , rhvso ii n ehnclEngineering Mechanical and Civil of Archives :77,1989. 6:67–73, , optrMtosI ple ehnc n Engineering and Mechanics Applied In Methods Computer 26:5–6,Nvme-eebr1995. November-December 92(6):757–764, , 72:2–4,1997. 87(2):327–341, , ora fTsigadEvaluation and Testing of Journal 1:391 a 2014. Mar 112:133901, , opttoa Plasticity Computational rceig fte1t WCEE 12th the of Proceedings 2()7976 1993. 121(4):739–746, , ens ukeblad Teknisk ultno h esooia oit fAmerica of Society Seismological the of Bulletin ae 4–5,17.SotCommunications. Short 1978. 148–152, pages , 9(-)3536 eray2005. February 194(2-5):355–366, , ae 6–7.PnrdePes 1987. Press, Pineridge 263–279. pages , nin nvriyMteaia Journal Mathematical University Indiana ora fApidPhysics Applied of Journal ()1215 1973. 1(2):162–165, , 98983 1959. 39:859–863, , 16)11,Arl2021. April 21(65):1–11, , eso:2.Ags,22,15:04 2021, August, 26. version: atqaeEgneig& Engineering Earthquake ukad e Zealand, New Auckland, , 84–2 1990. 78:49–72, , ultno h seismo- the of Bulletin aeil hsc and Physics Materials 3104 of 2943 page: ora fApplied of Journal 12:155–164, , Engi- , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et DM eze n ..Lmal esg-asn ut-elmlclrdnmc nteconnection the on dynamics molecular multi-cell Message-passing Lomdahl. P.S. and Beazley D.M. [BL94] TBltck,BMrn n ukri ntecuilrl fipretosi us-ttcviscoplastic quasi-static in imperfections of role crucial the under On dampers Kulkarni. oil M with and structures Moran, of B modelling Belytschko, Centrifuge T Madabhushi. S.P. Gopal and Boksmati I. Jad [BMK91] framework performance-based and risk-informed more a Toward Mieler. W. Michael and Budnitz [BM20] J. Robert ratio Betbeder-Matibet. and Jacques variation of mechanics. non–linear coefficient in of Computability In function Mish. K. a and clay. as Belytschko [BM16] size soft T. Sample in Martin. groups C. pile Donald [BM08] loaded and Belle laterally Van of Gerald analysis for Procedures [BM01] editor, Matlock. Musser, H. David and In Bogard matters. D. it why [BM93] and api good a design to How Bloch. Joshua analogy. spring [BM83] the on spurious Considerations of Blom. stabilization J and Frederic priciples variational Mixed Ong. S.-J. [Blo05] an J. of and functions Liu, K. impedance W. for Belytschko, IBEM Ted [Blo00] Hu. Liming and Lee, W Vincent Liang, Jianwen Ba, [BLO87] Zhenning for method reduction Domain Yoshimura. Chiaki and Hisada, Yoshiaki Loukakis, Kostas Bielak, [BLLH17] Jacobo by demands drift and risk collapse building of Evaluation Deierlein. G [BLHY03] Gregory and Lin, Bijelić, Ting Nenad for simulations platform broadband SCEC the of Validation Deierlein. G. deformation. Greg joint and Bijelić, Lin, rock Nenad Ting of [BLD19] Fundamentals method Barton”. finite-element N.R. for and Potentiality Lumsden, C++: A.C. Bandis, using arrays ”S.C. ragged of allocation Dynamic [BLD18] Black. F biased Edgar produce records near-source spectrum-matched cluster and performance scaled [BLB83] high Do for Luco. system Nicolas and operating Bazzurro multicomputer Paolo MOSIX The [Bla08] La’adan. O. and Barak A. [BL06] [BL98] ahn 5. machine nEngineering in fluids Abstracts Geomechanics & Sciences Mining and Mechanics Rock of Journal solutions. Nuclear loading. U.S. seismic Research, Regulatory Nuclear 2016. States Nuclear May United of 7214, 20555-0001, Office NUREG/CR DC Washington, plants. Engineering, power Commission, of nuclear Regulatory of Division safety Commission, seismic the Regulatory of regulation the for means. of 1983. Engineering April Offshore in Practice Geotechnical Slides. Presentation 2005. ber LCSD’05 Design Software element. 9–node 1987. the in modes half-space. isotropic transversely multi-layered a in Engineering foundation strip embedded Theory. I: part America regions. of localized Society in modeling earthquake three–dimensional demands. cybershake drift with and simulation risk America direct collapse of versus building analysis of hazard evaluation conventional seismograms using analyses structural nonlinear motion. ground the of duration and Dynamics shape Structural spectral & considering Engineering assessments risk building tall software. 2006. In responses. structural nonlinear computing. 26:4–6,2000. 32(6):647–668, , SEJunlo optn nCvlEngineering Civil in Computing of Journal ASCE ora fApidMechanics Applied of Journal h mrcnStatistician American The 0()11–88 2019. 109(5):1812–1828, , ae –2 07 O:10.1080/13632469.2017.1286621. DOI: 2017. 1–32, pages , aallComputations Parallel ora fFtr eeainCmue Systems Computer Generation Future of Journal 232,2001. 52:3–21, , atqaeEgneig&Srcua Dynamics Structural & Engineering Earthquake 32:1–2,2003. 93(2):817–824, , betOine rgamn,Sses agae n plctos Octo- Applications, and Languages Systems, Programming, Object-Oriented . esi Engineering Seismic optrMtosi ple ehnc n Engineering and Mechanics Applied in Methods Computer rceig fte8hNtoa ofrneo atqaeEngineering Earthquake on Conference National 8th the of Proceedings 01315 1994. 20:173–195, , O:1.02ee36() 2018. 10.1002/eqe.3066(0), DOI: , 73:6–6,1993. 47(3):165–167, , 86865 1991. 58:658–665, , ae 9–3.teAeia oit fCvlEngineers, Civil of Society American the 499–535. pages , SELdadJh ie os n. 2008. Inc., Sons, & Wiley John and Ltd ISTE . nentoa ora o ueia ehd in methods numerical for journal International 25:0–1,SpebrOtbr2008. September/October 22(5):303–311, , pi 1998. April , 94:5–7,2020. 49(4):356–374, , ultno h esooia Society Seismological the of Bulletin nentoa o ueia Methods Numerical for International eso:2.Ags,22,15:04 2021, August, 26. version: ultno h Seismological the of Bulletin 06:4 6,1983. 268, – 20(6):249 , ora fEarthquake of Journal 3104 of 2944 page: Library-Centric 62:275–292, , International Earthquake , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et DnA rw,CakMrio,adLmnC es.Ltrllae eairo iegopi sand. in group pile of behavior loaded Lateral Reese. C. Lymon and Morrison, Clark Brown, A. based Dan equations differential partial stochastic Solving Tempone. Ra˙ul and Liu, Man Babuˇska, Kang Ivo [BMR88] [BMLT03] DvdMBoore. M David method. stochastic the using motion ground of Simulation Boore. M. David motions. ground strong of [Boo05] simulation and derivatives Phase Boore. M David [Boo03b] In models seismological on it. Booch. based Grady with motions do ground high-frequency we of can simulation [Boo03a] what Stochastic and Boore. M matters David it why it, is [Boo94] What Sigma: Bommer. J Julian [Boo83] sands. of method. Bomme. dilatancy galerkin Patricia and element–element-free strength The finite coupled Bolton. [Bom10] MD A Krongauz. Y. order-verification. and Premo Organ, in D. progress [Bom98] Measuring Belytschko, T. Knupp. M. Patrick and [Bol86] Ober, C. Curtis Bond, science: B. and Ryan engineering computational in validation [BOKar] and Verification solids. Oden. cracked Tinsley newton a J. Babuˇska and – of Ivo moduli quasi Elastic of [BOK07] class O’Connell. J. a Richard of and convergence Budiansky Global Bernard Yuan. Xiang Ya partial and [BO04] elliptic Nocedal, for Jorge method Byrd, collocation Richard stochastic A [BO76] Tempone. and Raul validation and estimates, Nobile, uncertainty interaction Babuˇska, Fabio Reliability, soil–structure Ivo [BNY87] Tempone. to R. approach and generic materials. Oden, A J.T. polycrystalline Nobile, in Houy. F. spin L Babuska, plastic and I. of Elachachi, [BNT07] determination S Experimental Niandou, H Nielsen. Breysse, I. D and [BNOT04] Bunge J. elastoplastic between H. comparison a behaviour functions. interface soil-structure shape of choosing Modelling in Nova. [BNEH05] R freedom and increased Boulon M with elements Nyg˚ard. Finite K. M. and [BN97] Bergan G. P. elements. finite in discontinuity [BN90] Arbirtary Parimi. C. and Usui, Moës, S. N. Belytschko, T. [BN84] [BMUP01] ora fGoehia Engineering Geotechnical of Journal data. experimental the on niern.Bnai umns eodeiin 1994. edition, second Cummings, Benjamin Engineering. Engineering in Methods Numerical for Journal 2.3 2003. 160:635–676, spectra. radiated the of Center. Research Workshop Engineering “Sigma” NGA-East of Fédéderal1998. Polytechnique Lausanne, the Mechanics Computational Computers. with Engineering 2004. concepts. basic Structures and Solids of problems. convex on methods data. input 2007. random with equations differential 2004. ICES, 04-05, Report Technical verification. heterogeneity. soil of effects the considering Plasticity of Journal International laws. type rate and Engineering in Methods Numerical for Journal International oit fAmerica of Society ieer 2005. Citeseer, . betOine nlssadDsg ihApplications with Design and Analysis Oriented Object optrMtosi ple ehnc n Engineering and Mechanics Applied in Methods Computer MI:Frrnporm o iuaiggon oin rmerhuks Version earthquakes: from motions ground simulating for programs Fortran SMSIM: nelgn bet nOjc–retdEgneigEnvironments Engineering Object–Oriented in Objects Intelligent 33:1214,2003. 93(3):1132–1143, , optr n Geotechnics and Computers 28–7 1976. 12:81–97, , ultno h esooia oit fAmerica of Society Seismological the of Bulletin 95(oappear). (to 1995 , ahmtclMdl ehd nApidSciences Applied in Methods & Models Mathematical 34:8–9,2007. 23(4):283–294, , http://peer.berkeley.edu/ngaeast/2010/02/sigma-workshop/ IMJunlO ueia Analysis Numerical On Journal SIAM nvriyo aiona ekly eray21.Pcfi Earthquake Pacific 2010. February Berkeley, California, of University , 35:3–4,1997. 13(5):435–446, , 1(1:2117,Nvme 1988. November 114(11):1261–1277, , Geotechnique 09311,2001. 50:993–1013, , IMJunlo ueia Analysis Numerical on Journal SIAM (-)2–6 1990. 9(1-2):21–46, , Geotechnique 52:4–5,2005. 55(2):143–150, , 06363 1984. 20:643–663, , 61:57,1986. 36(1):65–78, , eisi betOine Software Object–Oriented in Series . 45:11–19,1987. 1190, – 24(5):1171 , eso:2.Ags,22,15:04 2021, August, 26. version: 36)16–84 1983. 73(6A):1865–1894, , 9(63)45–06 Sept 193(36-38):4057–4066, , ueadApidGeophysics Applied and Pure ultno h Seismological the of Bulletin 34544 2003. 13:415–444, , 3104 of 2945 page: nentoa Journal International h thesis, PhD . 45(3):1005–1034, , International Proceedings Ecole ´ . , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et Jsp odga oorwscvlssesegnes–temse intergrators. master the – engineers systems civil a Tomorrow’s on based equation Bordogna. constitutive Joseph of integration Implicit II: part plasticity, clay – Cam Borja. I. calculations, Ronaldo amplification crustal site for [Bor98] computing models density for and method velocity square-root-impedance generic Determining the of Boore. M limitations David and [Bor91] uses The Boore. M Smsim David simulations: ground-motion finite-source and point-source stochastic [Boo16] Comparing Boore. M David [Boo13] [Boo09] G inhn n .Pcii epnet usinie nA ad n .Bacii editors, Bianchini, G. and Saada A. In questionaire. to Response Puccini. P. and Bianchini G. product on 1999-present. effect communications, Personal the Boulanger. Ross good? complementary the opening systemic vs. and platform modular the on [BP88] Opening effects Boudreau. Kevin innovation? stimulate [Bount] platform a opening Does Boudreau. Kevin behaviour. [Bou08] interface structure soil of features Basic fields. Boulon. M perturbed randomly of Propagation [Bou06] Bourret. C. R. [Bou89] porous unsaturated and saturated in stress [Bou62] effective and energy com- mechanical and the implosion On volume Borja. including solids I. collapsible Ronaldo in instabilities for [ Conditions Borja. I. Ronaldo and deformation three-phase for framework [Bor06b] mathematical A V: Part plasticity. Cam-clay Borja. I. Ronaldo [Bor06a] [Bor04] T ln n .Pso.Asaiie mohdpril yrdnmc,taylor hydrodynamics, particle smoothed stabilized loading. A cyclical Pastor. to M. subjected and rock Blanc of T. behaviour energy dynamic and Fatigue Petros. V. and Bagde N. M. adn Applications Hagen tensor: covariance H. 4th-order and a of Ebert Siniˇsa decomposition [BP11] Pajević. and D. Spectral Basser In J. Peter fields. tensor from deformation Interactive [BP09] Pang. Alex and Boring Ed [BP06] [BP98] Sfn i arb rbu ct oa,adSzAatrtr netit unicto erc with metrics quantification Uncertainty Atamturktur. Sez and Cogan, Scott Prabhu, Saurabh Bi, Sifeng [BPCA17] oi JeremićBoris 04] 1991. predictor. stress elastic nonlinear for. amplification site generic the 2016. of 106(1):313–317, update an with amplification. exsim. and rfsinlIse nEgneigEuainadPractice and Education Engineering in Issues Professional noaini adedcomputing. //papers.ssrn.com/sol3/papers.cfm?abstract_id=1251167 handheld in innovation Network innovation. 1989. 131, Interaction 1962. Soil-Structure 2004. editors, on 29-30 Workshop Chelebi, March Resources USA, Mehmet Natural California, Park, and States–Japan Menlo Todorovska United Center, Maria Third Vallombrosa the In of ceedings problems. interaction foundation–structure continua. banding. paction media. porous Engineering saturated partially and of analyses localization strain qain o rnlrNnChsv Soils Non–Cohesive Granular for Equations nentoa ora fRc ehnc n iigSciences Mining and Mechanics Rock of Journal International mri. tensor diffusion to 1998. editors, Rushmeier, H. 2017. 2011. n/a–n/a, pages problems. dynamics soil ayn ttsia nomto nmdlclbainadvalidation. and calibration model in information statistical varying oi JeremićBoris ( , nentoa ora fSld n Structures and Solids of Journal International http://papers.ssrn.com/sol3/papers.cfm?abstract_id=913402 ultno h esooia oit fAmerica of Society Seismological the of Bulletin I la eerhPprN.41-6 okn ae eis oilSineResearch Science Social Series, Paper Working 4611-06, No. Paper Research Sloan MIT ultno h esooia oit fAmerica of Society Seismological the of Bulletin re vriwo esrdsmlto ltomoese:Apiaint h soil– the to Application opensees: platform simulation neesgrid of overview brief A . 9(85)50–38 eebr2004. December 193(48-51):5301–5338, , caGeotechnica Acta rcsigo EEVsaiain98 Visualization IEEE of Processing inlProcessing Signal nentoa ora o ueia n nltclMtosi Geomechanics in Methods Analytical and Numerical for Journal International optrMtosi ple ehnc n Engineering and Mechanics Applied in Methods Computer :0–2,2006. 1:107–122, , okn ae eis oilSineRsac Network Research Science Social Series, Paper Working 72026 2006. 87:220–236, , ae 37.A .Blea uy1988. July Balkema, A. A. 63–79. pages , ultno h esooia oit fAmerica of Society Seismological the of Bulletin 36:7418,2006. 43(6):1764–1786, , 2()4,1998. 124(2):48, , 96:2231,2009. 99(6):3202–3216, , ae 9–0.Cmue oit Press, Society Computer 297–304. pages , aainJunlo Physics of Journal Canadian 61:0–0,2009. 46(1):200–209, , 0()25–38 2013. 103(4):2356–2368, , optrMtosi ple Mechanics Applied in Methods Computer optr n Geotechnics and Computers :–6 2008. ):1–36, IAJournal AIAA eso:2.Ags,22,15:04 2021, August, 26. version: 03aeknagrtmfor algorithm 2013galerkin ˘ :–3 2006. ):1–33, 3104 of 2946 page: 55(10):3570–3583, , SEJunlof Journal ASCE 40:782–790, , 88:225–240, , 7(1-2):115– , Constitutive ( , http: Pro- , , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et MhiBhapui dinRdiuzMrk n uinJ omr apn h netit in uncertainty the soft Mapping in localization Bommer. strain of J. modeling Julian FE and Li. Rodriguez-Marek, Y. Adrian Timothy Bahrampouri, and Regueiro, Mahdi A. Richard Borja, I. Ronaldo [BRMB19] [BRL00] JRBoe n ..Sal nivsiaino h tblt fnmrclsltoso itseutosof equations biot’s of solutions numerical of stability the of investigation liabilities. An corporate Small. and J.C. options and of Booker pricing J.R The Scholes. hardening. Myron anisotropic and of Black rule earthquakes.Fischer A from Sawczuk. waves A. shear and seismic Baltov of A. [BS75a] spectra the and stress Tectonic Brune. N [BS73] James fluid–filled on foundations of stiffness Dynamics [BS65] Tassoulas. L. John José Roësset, and Bougacha, steel Samir for analysis index the for damage [Bru70] program Energy-based computer A Ruiz. GADFLEA: SE Terán-Gilmore, and Seed. A Bolton Reyes-Salazar, H. [BRT93] Bojórquez, A and E Rashman, S. M. Booker, R. J. [BRSTGR10] [BRS76] Brinkreve. Johan Bastiaan Ronald editor. Brebbia, A. Carlos [Bri94] [Bre13] Jh .Ben rsrse ocee h tt fteati ot america. north in art the of state The concrete: Prestressed Breen. E. finite John in equation constitutive hypoplastic a Brekhovskikh. of Maksimovich Time-integration Leonid Doanh. T measure. and [Bre90] intensity Royis, conditioning P the of Batista, importance D and array hazard seismometer demand using seismic [Bre80] analyses The response Bradley. A. seismic Brendon of validation for framework A piles. [BRD03] loaded Bradley. laterally A. single Brendon of design the for curves p-y of [Bra12] Selection Bransby. F. M. Braess. [Bra11] Dietrich [Bra99] [Bra97] of design the for methods analysis aided Computer Evans. B. J. J. and Pappin, W. J. Booth, D. E. [BPE [BPE88] M .Basy ieecsbtenla–rnfrrltosisfrltrlylae i rus Active i: groups: rocks. pil loaded saturated laterally for of relationships Dynamics load–transfer between Differences Bransby. Woo. F. M. Seop Hyo and Papadakis, N. Constantine Beskos, E. Dimitri [Bra96] [BPW89] + Lue .Bgii nesnPria org sih,Ia ..Mnzs admrCls n Glau- and Celes, Waldemar Menezes, F.M. Ivan Espinha, Rodrigo Pereira, Anderson Beghini, L. Lauren 14] ouu euto n apn uvsot h netit fst mlfiainfunctions. amplification site of uncertainty Engineering the Earthquake onto and curves damping and reduction modulus rock. 1994. May University, Technical Delft Economy research geophysical consolidation. stratum. poroelastic EERC structures. Report Technical loading. 1976. earthquake or October Berkeley, cyclic California, during of dissipation University and 76-24, generation pressure pore of 2013. GmbH, Heidelberg 1990. November/December o ueia n nlssmtosi geomechanics in methods analysis and numerical for oetT ee;IB:9783540655923. ISBN: Beyer; T. Robert modelling. element Dynamics Structural & Engineering Earthquake recordings. 1996. December review. a structures: resistant earthquake rpassive or topological compact a on based analysis element finite for framework structure. object-oriented data An Paulino. H. cio alihwaves. Rayleigh SEJunlo etcncladGoniomna Engineering Geoenvironmental and Geotechnical of Journal ASCE 13:3–5,1973. 81(3):637–654, , p te n opst Structures Composite and Steel olDnmc n atqaeEngineering Earthquake and Dynamics Soil − δ nentoa ora o oisadStructures and Solids for Journal International . dacsi niern Software Engineering in Advances SEJunlo niern Mechanics Engineering of Journal ASCE iieElements Finite SEJunlo etcncladGoniomna Engineering Geoenvironmental and Geotechnical of Journal ASCE ahmtcladcmue modelling computer and Mathematical 52)49–09 1970. 75(26):4997–5009, , SEJunlo niern Mechanics Engineering of Journal ASCE 2:001 2019. 126:105091, , iieEeetSses adok dto 2 Edition Handbook, A Systems, Element Finite abig nvriyPes 1997. Press, University Cambridge . emtra oesadNmrclAayi fSoftening of Analysis Numerical and Models Geomaterial ae nLyrdMedia Layered in Waves rc nt i.Egs at1 Part Engrs, Civ. Instn Proc. 04:3–4,2010. 10(4):331–348, , 11)11–47 2012. 41(11):1417–1437, , 80:0–4,2014. 48, – 68(0):40 , 310–96 1999. 23:1909–1926, , 13:1 2,2011. 520, – 31(3):512 , 1()11–04 a 1989. May 115(5):1017–1034, , 75:1–2,2003. 37(5):615–621, , caMechanica Acta 19797 1975. 11:907–917, , 1()14– 93 isn atpart. last Missing 1993. 119(8):1649–, , cdmcPes 90 rnltdby Translated 1980. Press, Academic . eso:2.Ags,22,15:04 2021, August, 26. version: 2()3533 2000. 126(4):335–343, , 46161 uut1988. August 84:671–691, , ()8–2 1965. I(2):81–92, , C Journal PCI pigrVra Berlin Springer-Verlag . 122(12):1015–1018, , 3104 of 2947 page: nentoa journal International ora fPolitical of Journal 35(6):62–67, , olDynamics Soil h thesis, PhD . ora of Journal p − y Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et M .BasyadS .Srnmn - nt lmn oeigo iegop daett surcharge to adjacent groups pile of modeling element finite 3-d Springman. M. S. and Bransby F. M. [BS96b] element finite dimensional three a with experiments numerical Some Shie. Chine-Feng piles. and Brown loaded A. laterally Dan of model Szabó. element B. Babuˇska finite and I. dimensional Three piles of Shie. response Chine-Feng the and on Brown effects A. group [BS91b] Dan into experiments Numerical Shie. experiment. Chine-Feng retaining-wall [BS91a] and model Brown in A. friction Dan Side Smith. A. A. [BS90b] Ian and Bransby L. Peter [BS90a] [BS75b] M evilr .Sde,adM ear.Sohsi nt lmn:Annituieapoc by approach non-intrusive A element: editors. finite Frigerio, Stochastic Antonella Mazzà, and Guido Lemaire. Sterpi, Donatella M. anisotropic Bolzon, with Gabriella and rock Sudret, brittle B. saturated Berveiller, of M. behaviour Poroelastic Lydzba. D. [BSMF21] and Shao, F. J. Bart, M. between relationship [BSL06] the On Stafford. Peter and Kuehn, Nicolas Scherbaum, Frank Bora, Singh [BSL00] Sanjay Wunder- [BSKS16] In analysis. creep 3D and complete elasto–plastic using strain large element On finite Kojić. solid-shell M. Slavković, and nine-node R. new Bathe, A K.J. [BSK Brunet. M. and gpus: on Sabourin, simulations F. water Bassa, shallow Efficient B. Altinakar. appli- Mustafa an and with Stra, [BSK85] openquake L. in Martin risk Brodtkorb, earthquake R. integrated Andr Assessing Silva. Vitor and [BSB12] Burton G Christopher expansions chaos polynomial sparse up criteria. build to failure algorithm adaptive rock [BSA12] An six Sudret. Bruno of Géraud and comparison Blatman model. quantitative A plasticity dimensional Schwabb. one Radu [BS16] and a Benz to Thomas solutions of Regularity Shi. [BS10] P. Babuˇska and I. [BS08] Smith. J. [BS98] Bradley and Baker Louis and principles basic Interne method, Publication element ondolettes. finite fonctions the de of bibliothéqueMikaël C Réalisation Bourges-Sévenier. versions d’une [BS96a] h–p and p The Suri. Manil Babuˇska and Ivo [BS94b] [BS94a] + Sna ig oa rn cebu,NclsKen ee tffr,adBnai dad.Devel- Edwards. Benjamin and Stafford, Peter Kuehn, Nicolas Scherbaum, Frank Bora, Singh Sanjay 15] fteGoehia niern Division Engineering Geotechnical the of loads. 0-07-912259-0. ISBN pile. loaded laterally a of model Geotechnics and Computers loading. lateral to peto epneseta rudmto rdcineuto GP)frsimchzr analysis seismic-hazard for models. (GMPE) duration equation and prediction spectral ground-motion fourier spectral empirical response from a of opment Sciences Mining and Mechanics Rock of Journal Dams regression. prediction 2000. 1154, ground-motion empirical of damage. adjustment the for Implications spectra: (GMPEs). equations response and fourier 2015. 105(4):2192–2218, editor, Norway Trondheim, Bathe, Bergan, lich laws. constitutive validation. and verification, visualization, Implementation, portugal. mainland to cation analysis. element finite stochastic for Analysis Numerical and Modeling de Universitaire Systémes Campus Aléatoires, et 1994. Informatique Septembre France, en Cedex, Recherche Rennes de 35042 Beaulieu, Institute IRISA 864, properties. oue9 of 91 volume , optr n Geotechnics and Computers nentoa ora o ueia n nltclMtosi Geomechanics in Methods Analytical and Numerical for Journal International IMReview SIAM uoenJunlo opttoa Mechanics Computational of Journal European nentoa ora o ueia ehd nEngineering in Methods Numerical for Journal International optr n Geotechnics and Computers ae 7–9,1985. 176–190, pages , etr oe nCvlEngineering Civil in Notes Lecture ultno h esooia oit fAmerica of Society Seismological the of Bulletin 64:7–3,1994. 36(4):578–632, , iieeeetanalysis element Finite 05–9 1990. 10:59–79, , iieEeetMtosfrNnierPolm,Erp–SSymposium, Europe–US Problems, Nonlinear for Methods Element Finite atqaeSpectra Earthquake optr n Geotechnics and Computers 25:2–3,1998. 32(5):521–537, , 94:0–2,1996. 19(4):301–324, , aallProgramming Parallel rbblsi niern Mechanics Engineering Probabilistic 0()6562 uy1975. July 101(7):615–632, , 02120 1990. 10:211–230, , 57:1618,Otbr2008. October 45(7):1176–1186, , onWly&Sn n. 1991. Inc., Sons & Wiley John . 23:3310,2016. 32(3):1383–1403, , ultno h esooia oit fAmerica of Society Seismological the of Bulletin pigr 2021. Springer, . 58–2 2006. 15:81–92, , optr n Fluids and Computers eisi optn.MGa–il 1996. McGraw–Hill, Computing. in Series . 21912 1991. 12:149–162, , 0()13–23 2016. 106(3):1235–1253, , eso:2.Ags,22,15:04 2021, August, 26. version: 51317 2010. 25:183–197, , ae /–/,2012. n/a–n/a, pages , 51–1,2012. 12, – 55:1 , ueia nlssof Analysis Numerical 3104 of 2948 page: 24(15):1139– , SEJournal ASCE Mathematical International , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et [BSS DvdMBoeadEi hmsn eiin osm aaeesue nsohsi-ehdsimu- stochastic-method in used parameters some to Revisions infinitesimal Thompson. M the Eric of and Extension Boore M iii: David part plasticity Cam–clay Tamagnini. Claudio Su, and C. T. Borja and I. Lin K. Ronaldo Y. In strains. [BT15] finite at model state Critical Tamagnini. Claudio and Borja I. Ronaldo pre- [BT98] for equations NGA-West2 Atkinson. M Gail and Seyhan, Emel Stewart, P Jonathan Boore, M [BT96] David [BSSA14] SmrBuah,Jh .Tsols n o´ oest nlsso onain nfli–le poroelastic fluid–filled on foundations José of Roësset. and Analysis Tassoulas, L. solids. John of Bougacha, lubrication Samir and friction The Palmer. Frederic and Tabor, D Bowden, P Frank part [BTR93] strain finite at consolidation Alarcón. Elastoplastic Enrique and Tamagnini, Claudio Borja, I. Ronaldo [BTP51] [BTA98] Io eenvadKoLagWn olna olrsos,areality? a response, soil Nonlinear Wen. Kuo-Liang and Beresnev A Igor i: Edward. rocks. Wilson, saturated L. of and Dynamics Klaus-Jürgen Bathe Providakis. P. Constantine and [BW96] Vgenopoulou, Irene Beskos, E. Dimitri non–proportional for model Giessen. plasticity [BW76] Der cyclic Van mutliaxial Erik A and Besseling Voyiadjis. F Z. Johannes G. and [BVP89] Basuroychowdhury N. suyehiro. I. Kyoji America. of Society Seismological [BVDG94] the of Bulletin materials. heterogeneous some of moduli [BV98] elastic the equations. On dimensional Budiansky. of B. use the of illustrations systems; similar [Bul32] physically On with Buckingham. problems E. value boundary elliptic Solving [Bud65] Zouraris. E. Georios and Babuˇska, Raúl Tempone, Ivo [Buc14] [BTZ05] [BTVR [BTSL + IoBbˇk,Zi aln ac cvn,BraSa´,adR´lTmoe aeinifrneand inference Bayesian Raúl Tempone. Szabó, and Barna Scavino, Marco Sawlan, Babuˇska, Zaid Ivo 16] + + CteieBreTiry nkaaSa,Arr arneu hmsCate,VnetPro,Cédric Perron, Vincent Chartier, Thomas Laurendeau, Aurore Svay, Angkeara Berge-Thierry, Catherine 17] C eg-her,F odie .Rgeeu .LpzCbleo n .L aut anachievements Main Maoult. Le A. and Lopez-Caballero, F. Ragueneau, F. Voldoire, F. Berge-Thierry, C. 20] oe oprsnfrmtli aiu data. fatigue metallic for comparison model ain fgon motion. ground of lations strains. finite Engineering include to model 1996. May Engineers, Civil of Society editors, earthquakes. crustal shallow for psa damped 2014. 5% 1085, and pgv, pga, dicting 2016. 196, – 304:171 fPhysics of stratum. Engineering and examples. Mechanics numerical Applied and in implementation element Finite 2: m .CCPes 1994. Press, CRC 5. ume Review oit fAmerica of Society 1976. Inc., Hall waves. Body cases. loading America of Solids of formulation. stochastic Engineering the and method: Mechanics element Applied finite in the seismic by perform coefficients to uncertain approach integrated an Towards facilities. nuclear project: of research analysis SINAPS safety multidisciplinary the of methodologies french current improving safety project. nuclear al. research for et SINAPS@ assessment the Hollender, risk Fabrice through seismic Lopez-Caballero, integrated Fernando an RégisToward Cottereau, Kishta, Ejona Guyonnet-Benaize, :4–7,Otbr1914. October 4:345–376, , rceig f1t Conference 11th of Proceedings 32327 1965. 13:223–227, , SEJunlo niern Mechanics Engineering of Journal ASCE 97:2–2,1951. 19(7):428–429, , 22:8,Jn 1932. June 22(2):180, , 5:39,1998. 155:73–95, , SEJunlo niern Mechanics Engineering of Journal ASCE nentoa ora fPlasticity of Journal International 66:9417,1996. 86(6):1964–1978, , ultno h esooia oit fAmerica of Society Seismological the of Bulletin nentoa ora o optrMtosi ple ehnc and Mechanics Applied in Methods Computer for Journal International ueadApidGeophysics Applied and Pure 5:0–2,1998. 159:103–122, , 9()15–24 pi 2005. April 194(1):1251–1294, , ae 4–5.EgneigMcaisDvso fteAmerican the of Division Mechanics Engineering 148–151. pages , ula niern n Design and Engineering Nuclear optrMtosi ple ehnc n Engineering and Mechanics Applied in Methods Computer ueia ehd nFnt lmn Analysis Element Finite in Methods Numerical 49:5–7,1998. 14(9):855–870, , 1()13–68 1993. 119(8):1632–1648, , ahmtclmdln fieatcdeformation inelastic of modeling Mathematical 1()9611,My1989. May 115(5):996–1016, , nentoa ora o optrMethods Computer for Journal International 7()29–31 2020. 177(5):2299–2351, , ultno h esooia Society Seismological the of Bulletin ora fMcaisadPhysics and Mechanics of Journal atqaeSpectra Earthquake eso:2.Ags,22,15:04 2021, August, 26. version: 2:8–0,2017. 323:185–201, , 0(A:0914,2015. 105(2A):1029–1041, , ultno h Seismological the of Bulletin opttoa Methods Computational 3104 of 2949 page: mrcnJournal American 30(3):1057– , Prentice . Physical vol- , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et Jcb ilk iegX,adOa hta.Erhuk rudmto n tutrlrsos in response structural and motion ground Earthquake Ghattas. Omar and elastic Xu, nonlinear Jifeng for Bielak, evidence Jacobo Seismological Yeh. Tein Yeong and Wen, Kuo-Liang Beresnev, A [BXG99] Igor [BWY95] FEM feastflow: and [BWM FEASTSolid Turek. Stefan Göddeke, and Dominik Wobker, Hilmar soil-structure Buijssen, nonlinear Sven and Linear Coleman. L Justin and Whittaker, S Andrew Bolisetti, components [BWGT08]Chandrakanth rotational Estimating Constantinou. C. Michael resonant and Whittaker, locally S. Finite Andrew Basu, [BWC18]Dhiman Fossetti. Marinella and Bursi, S. Oreste Wenzel, Moritz [BWC12] Basone, structure- and Francesco interaction soil-structure response, Site Whittaker. S. Andrew and Bolisetti Chandrakanth [BWBF19] [BW15] RgrS ruh amAks n ina i nltclcpi nrympe tessae Application space: stress energy-mapped in cpp Analytical Li. Tianbai and Askes, Harm Crouch, S. Roger Caltrans. motion ground broadband of [CAL09] simulation Cacuci. for G method Dan UCSB Archuleta. J Ralph and [Cal04] Crempien GF Jorge earthquake ground for strong model of analysis plane-strain [Cac05] Engineering plasticity Minch. Yan sand Maciej a and Bońkowski, Zembaty, of Adam Zbigniew Formulation Piotr Ziotopoulou. K [CA15] analysis. and simple Boulanger – RW collapse? Lecture center trade world equations. the of did [BZM19] Why systems Zhou. and Yong BaˇzantZdenˇenek optimization and P. unconstrained in methods Numerical [BZ13] Byrd. Richard band shear two–dimensional resolution [BZ02] High Plakacz. Edward and Chaing, Yang Huai [Byr93] Belytschko, Ted response ground Nonlinear Lin. Hua Chao Montána, and J. Francisco [BYCP94] Chao, Yih Heng Borja, I. Ronaldo [BYCMHL99] + Cadaat oiet,Ade htae,HBnai ao,IrhmAmfi n ihe Willford. Michael and Almufti, Ibrahim Mason, Benjamin H Whittaker, S Andrew Bolisetti, Chandrakanth 14] luilvalleys. alluvial safety-related earthquakes. of large 1995. during assessment behavior risk ground and design for analysis response site structures. nonlinear nuclear and December linear Berlin, Equivalent Springer, 425–440. Michael pages Kröner, and 2008, Dietmar (HLRS) , Stuttgart Nagel, 2008. Center Wolfgang Computing In Performance technologies. editors, HPC Resch, feast‘s exploiting applications structures. nuclear safety-related and buildings Engineering of analysis interaction station. single a at recorded data 2012. September using 138(9):1141–1156, motion ground of tanks. storage fuel of protection Dynamics seismic the for metafoundations Report Technical structures. nuclear 2015. and MCEER, buildings of MCEER-15-0002, assessment performance for interaction soil-structure 2004. 2005. press, CRC 2. ume Mechanics Engineering of Journal 1999. 9(-)83–89 2009. surface. 859, yield – drucker-prager 198(5-8):853 modified a to sources. earthquake kinematic from structures. tall on effect its and rocking applications. engineering 1993. decembar - august Boulder, CU at Notes dependence. mesh and Engineering Imperfections computations: 1999. March site. LSST Lotung at 82:3–5,2019. 48(2):232–252, , atasSimcDsg rtravrin1.3 version Criteria Design Seismic Caltrans 0:1–3,2018. 107:218–233, , 1:–5 1994. 119:1–15, , ihPromneCmuigi cec n niern ‘08 Engineering and Science in Computing Performance High estvt n netit nlss oueI:apiain olresaesystems large-scale to applications II: volume analysis, uncertainty and Sensitivity SEJunlo etcncladGoniomna Engineering Geoenvironmental and Geotechnical of Journal ASCE ula niern n Design and Engineering Nuclear SEJunlo etcncladGoniomna Engineering Geoenvironmental and Geotechnical of Journal ASCE olDnmc n atqaeEngineering Earthquake and Dynamics Soil 2()26 2002. 128(1):2–6, , esooia eerhLetters Research Seismological olDnmc n atqaeEngineering Earthquake and Dynamics Soil olDnmc n atqaeEngineering Earthquake and Dynamics Soil optrMtosi ple ehnc n Engineering and Mechanics Applied in Methods Computer 7:0–2,2014. 275:107–121, , aionaDprmn fTasotto,February Transportation, of Department California . optrMtosi ple ehnc and Mechanics Applied in Methods Computer SEJunlo niern Mechanics Engineering of Journal ASCE atqaeEgneig&Structural & Engineering Earthquake 61:16,2015. 86(1):61–67, , 32427 2013. 53:254–267, , eso:2.Ags,22,15:04 2021, August, 26. version: olDnmc n Earthquake and Dynamics Soil rnatoso h High the of Transactions , 1:5 7,2019. 370, – 116:358 , 3104 of 2950 page: 125(5):413–423, , 125(3):187–197, , 14(2):103–114, , ASCE vol- , , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et FhiCrkadJla .Cmig.Gnrcpormigtcnqe o aallzn n extending and parallelizing for techniques programming Generic Cummings. C. Julian and Cirak Fehmi inter- soil-structure Time-domain Whittaker. S. Andrew and Bolisetti, Chandrakanth Coleman, L. Justin [CC08] [CBW15] M h hnadJ eze.Nniersi–tutr neato fse iha rde.Technical bridges. highway skew of interaction soil–structure Nonlinear cast–in–place Penzien. of J. behavior and Load–deflection Chen Polyzois. Chi D. Ma and Klingner, E. for R. input Collins, seismic M. effective D. of to Cook, Implementation relation A. Bielak. in R. Jacobo soil and in [CCP77] Christiano, water Paul of Cremonini, distribution G. and Marco Movement Black. M [CCKP92] of P quantification W uncertainty and Coleman, in D selection J point Croney, of D [CCB88] estimate Error Chan. Jianpeng and Chen Jianbing [CCB58] [CC19] consolidation. elasto-plastic finite of [CBW analysis The Small. J.C. and Booker, oriented J.R. object Carter, an J.P. On Santos. Raggio Slis [CBW Erick and Devloo, Bernard Remy Philippe Lira, Cecilio, Diego horizontal [CBS79] average the for model motion ground NGA-West2 Bozorgnia. hori- Yousef mean and Campbell geometric W the Kenneth for model [CBR10] motion ground NGA Bozorgnia. Yousef report, and Technical Campbell soils. W of coefficients Kenneth characteristic 010b, 670 [CB14] sn standard Swiss Bentley. interaction. S soil-structure and in Carter M effects boundary and Multi-scattering Belytschko. Ted and [CB08] Chang Sing Hui systems. linear damped in modes [CB91] normal Classical Caughey. T.K. [CB88] [Cau60] CrtnCrtne.Tnrmrso ocne iiiainfrpaetasto simulations. transition phase for minimisation nonconvex on its remarks and Ten method Carstensen. Carsten empirical hybrid the using motion ground strong of Prediction Campbell. W. Kenneth [Car05] spectra. earthquake design Revisiting Calvi. Michele Gian [Cam03] [Cal18] + + K ne ei,H og ig,JarW,AneM amrr n amn .Se.Probabilistic Seed. B. Raymond and Kammerer, M. Annie Wu, Jiaer Probabilistic Bilge, Tolga Seed. H. B. Cetin, Raymond Onder and K. Kammerer, M. Annie Wu, Jiaer Bilge, Tolga H. 09b] Cetin, Onder K. 09a] rcdrlfiieeeetprograms. element finite procedural facilities. nuclear of analysis action sands. clean saturated Engineering of straining cyclic for models settlements. (volumetric) reconsolidation Engineering induced Geoenvironmental cyclically and of Geotechnical assessment of the for model ora o ueia n nltclMtosi Geomechanics in Methods Analytical and Numerical for Journal eotUBER-72,Erhuk niern eerhCne,Uiest fClfri,Berkeley, California, of University Center, Research 1977. August Engineering Earthquake UCB/EERC-77/24, Report anchors. retrofit and systems. interaction soil-structure Research Highway report, Technical soils. in conduction its and 1958. water Board, in performance, and design highway parameters. distributed Engineering in nonuniformly Methods multiple Numerical involving structures nonlinear editors, Storti, Mario and Goldschmit, Marcela Dvorkin, Eduardo In Mecánica Comput. models. plasticity spectra. of response implementation acceleration linear damped 5% and 2014. pgv, 30(3):1087–1115, pga, of ranging components periods for spectra response elastic linear s. damped 10 5% to and 0.01 PGD PGV, from PGA, of component zontal 1991. Engineers, Traffic and Road Swiss of Association Design and Engineering Nuclear 1960. 27:269–271, ehd nApidMcaisadEngineering and Mechanics Applied in Methods s ntedvlpeto rudmto atnain eain nesennrhamerica. north eastern in relations America (attenuation) of ground-motion Society of Seismological development the the in use 2018. 10.1002/eqe.3101(0):1–17, 3()3136 ac 2009. March 135(3):371–386, , oueXI,pgs43–25 unsArs retn,Nvebe2010. Noviembre Argentina, Aires, Buenos 4235–4245, pages XXIX, volume , atqaeSpectra Earthquake C tutrlJournal Structural ACI 0()9–1,1988. 17, – 106(1):9 , atqaeEgneig&Srcua Dynamics Structural & Engineering Earthquake () 2019. 0(0), , ula niern n Design and Engineering Nuclear niern ihComputers with Engineering 33:0213,Jn 2003. June 93(3):1012–1033, , 41:3–7,2008. 24(1):139–171, , 96:3–4,Nvme-eebr1992. November-December 89(6):639–649, , 9(-)1913 eray2005. February 194(2-5):169–193, , 3()3738 ac 2009. March 135(3):387–398, , SEJunlo etcncladGeoenvironmental and Geotechnical of Journal ASCE atqaeEgneig&Srcua Dynamics Structural & Engineering Earthquake :0–2,1979. 3:107–129, , 411,2008. 24:1–16, , SEJunlo ple Mechanics Applied of Journal ASME 2015. , eso:2.Ags,22,15:04 2021, August, 26. version: nentoa ora for Journal International 64:1–2,1988. 16(4):615–625, , 3104 of 2951 page: atqaeSpectra Earthquake SEJournal ASCE International ultnof Bulletin Computer , , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et R ailn .Dseir,adC oz.Ucranyqatfiaini opttoa ierstructural linear computational in quantification Uncertainty density, Soize. packing C. and on Desceliers, effects C. shape Capillon, Particle R. Santamarina. Carlos J. and Dodds, Jake Cho, Gye-Chun Chatzi1. [CDS16] N. Eleni and Masri, F. Sami Dertimanis, K. Vasilis [CDS06] Chondrogiannis, I. Alexandros Kyriakos [CDMC20] vibration the high On at Chatzi. formation Jeremić, Eleni Boris and band Dertimanis, shear Vasilis for Chondrogiannis, Alexandros conditions Kyriakos critical database. On strong-motion Shawki. TG project and Hartley, NGA KA Duffy, Silva. J Clifton, Walter RJ and Gregor, [CDJC21] Nick Darragh, Robert Chiou, Brian [CDHS84] media. porous unsaturated viscoplastic and large saturated at of [CDGS08] Micromechanics hardening Dormieux. orientational Luc and and Distortinal Chateau Xavier Dafalias. F. Yannis and [CDAA Cho Wook Han [CD02] [CD96] C .CliradA .Ensa.Apoeuefrcmiigvria n oiotlsimcato effects. action seismic horizontal and vertical combining for procedure A Elnashai. S. A. and Collier J. C. [CEA [CE01] [CCR [CCR Ja .Cae n rgr .Fne.Erhuk nlssadrsos fcnrt rvt dams gravity concrete of response and analysis Earthquake Fenves. L. Gregory and Chavez W. Juan Seminar Cernica. materials. N. [CFF10] standard John generalized and problems thermomechanical soils. Coupled in Celigoj. deformations C. plastic Christian symmetric [CF93] Axially Hopkins. G. H. and [Cer95] Eason, G. Cox, D. A. [Cel96] [CEH61] + + + Y .Cin .Ee,H .Aa,F apne,adR .Beh yai odblnigo ewr of network a on balancing load Dynamic Blech. A. R. and Carpenter, F. Akay, U. H. Ecer, A. Chien, P. Y. 94] Ade oob,Dne oqit hlpeRu,SbsinGena,adRcadV rse.Aseismic A Craster. V. Richard and Guenneau, Sebastien Roux, Philippe Colquitt, Daniel Colombi, Andrea as Forests Craster. V. Richard and Guenneau, Sebastien Roux, Philippe 16b] Colquitt, Daniel Colombi, Andrea 16a] + Srn atr,Seai el bai aaAfn,Ade rnli iip oezn,adFrancesca and Lorenzoni, Filippo Brunelli, Andrea Alfano, Sara Abbati, Degli Stefania Cattari, Serena ] aPro yai airto n esi aiaino ueia oeso R ulig through buildings URM of models numerical of validation seismic and data. calibration monitoring permanent Dynamic Porto. da yaisfrvsolsi opst structures. composite viscoelastic for dynamics sands. crushed and Engineering Natural strength: and Manolis stiffness, In dampers. impact Dynamics of Structural consisting editors, on Papadimitriou, lattices Conference Costas and metamaterial Fragiadakis, of Michalis Papadrakakis, performance absorption Vibration ed- Stepan, Gabor and Machado, Nature. Tenreiro 2021) Lacarbonara, J.A. (NODYCON Walter Ma, Conference In Jun elements. Leamy, stiffness J. itors, negative Michael using Balachandran, design Balakumar metamaterial of properties attenuation rates. strain Spectra Earthquake Geomechanics in Methods Analytical and Numerical for Journal national deformations. 0:5 7,2016. 172, – 305:154 metawedge. resonant The metamaterial: resonances. local by induced bandgaps wave Rayleigh metamaterial: seismic natural a ora fErhuk Engineering Earthquake of Journal 2016. January 6(19238):1–7, .Cabrad .Fri,adM otn oprsno h efrac fsm nt element finite some of performance the of Comparison Fortin. problems. M. elasticity 2010. deformation and large Fortin, for discretizations A. Chamberland, E. London of Society Royal the of Transactions Engineering problems. dynamics and fluid computational solving for workstations nldn aesiig ehia eot9/7 ECUB eebr1993. December EERC/UCB, 93/07, Report Technical sliding. base including 1996. July Boulder, CU at given ´ dacsi olna yais-Poednso h eodItrainlNnierDynamics Nonlinear International Second the of Proceedings - Dynamics Nonlinear in Advances 3()5162 a 2006. May 132(5):591–602, , cit Metallurgica Scripta nentoa ora fPlasticity of Journal International 1:73,1994. 119:17–33, , etcnclEgneigSi Mechanics Soil Engineering Geotechnical 41:34,2008. 24(1):23–44, , atqaeEgneig&Srcua Dynamics Structural & Engineering Earthquake oue3 aina nvri` iRm,1-9Fbur 01 Springer 2021. February 16-19 Roma, Università di Sapienza, 3, volume , 85:4–4,1984. 18(5):443–448, , ()5159 2001. 5(4):521–539, , tes ree 32 oebr22 2020. 2020 November 23-26 Greece, Athens, , cetfi Reports Scientific 2414,1961. A254:1–45, , optrMtosi ple ehnc n Engineering and Mechanics Applied in Methods Computer 27:0–2,1996. 12(7):903–925, , SEJunlo etcncladGeoenvironmental and Geotechnical of Journal ASCE optr Structures & Computers onWly&Sn,Ic,1995. Inc., Sons, & Wiley John . (71)16 ue2016. June 6(27717):1–6, , optrMtosi ple Mechanics Applied in Methods Computer UOY 00 IInternational XI 2020, EURODYN eso:2.Ags,22,15:04 2021, August, 26. version: 68184 2002. 26:831–844, , n/a(n/a). , 81-2:6 673, – 88(11-12):664 , 3104 of 2952 page: cetfi Reports Scientific Philosophical Inter- , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et [CFK CigS hn.Mcoehnclmdligfrgaua aeil.I .K i n .C u editors, Su, C. T. and Lin K. Y. In materials. granular for editor, modelling Sture, Micromechanical Stein Chang. In S. Ching material. granular for modelling constitutive model. Microstructural mechanistic A Chang. materials: S. granular Ching in deformation [Cha96] localized and Homogeneous Chandler. W. H. materials. granular for principle [Cha95] variational A Chandler. W. H. [Cha90] Chan. materials. granular Hin-Cheong for sujitable Andrew dynamic [Cha88b] postulate, Drucker’s on without aging theory thermal plasticity A and Chandler. compression W. cyclic H. of Effects un- Huang. considering Jong-Shin [Cha88a] equipment and bench-mounted Chou of Hsoung-Wei Fragility bridge Hutchinson. between C. pounding Tara on and [Cha85] effect Chaudhuri motion Ray ground non–uniform Samit and ssi of Study Hao. [CH07] H. and constitutive Chouw elastic/plastic N. constructing for framework theoretical A [CH06] Hilder. geotech- Tamsyn of and modelling Collins the to improved F. principles Ian with thermomechanical of dynamics Application [CH05] structural Houlsby. for T. G. algorithm and integration Collins F. time I. A Hulbert. GM discontinua. [CH03] and of Chung modelling Jintai non–linear Numerical for Hart. strategies D. incremental–iterative Roger of and [CH97] Cundall study A. A Peter Hancock. J. Gregory and [CH93] Clarke J. Murray Hilbert. D. and Courant Han. R. [CH92] J. D. and Chen F. W. materials. kelvin-voigt in [CH90] vibrations harmonic the of behavior spatial On [CH89] Chirit¸˘a, Ghiba. S ID Gale¸s, and C [CH88] analysis the element bridges. finite long stochastic for Object-oriented René Gutiérrez, Borst. model and A. de gap Miguel band Chung, including Bo phononic [CGG08] Doo A buildings multistorey Brun. M. of and analysis Giaccu, response G.F. Earthquake Carta, G. Gutierrez. A Jorge and [CGdB05] Chopra K Anil [CGB17] [CG74] + K zjosi .Fse,N aoi,C esla,S atn .Sih n .Tek.Aresource A Tuecke. S. and Smith, W. Martin, S. Kesselman, C. Karonis, N. Foster, I. Czajkowski, K. 98] 1988. Geomecahnics case. bridge In Processing Parallel systems. for metacomputing Strategies Scheduling for architecture management fCvlEgnes a 1996. May Engineers, Civil of Conference 11th of Proceedings 1995. May Engineers, Civil Conference of Society 10th of Proceedings Sciences Engineering of Journal International Geomechanics in Methods Analytical Solids of Physics and Mechanics of bearings. rubber neoprene of properties parameters. certain girders. 2003. 26:1313–1347, tests. triaxial from models materials. nical generalized- the dissipation: numerical 1992. 9:101–113, analysis. Elasticity of Journal 2005. April 1446, laminates. metal fibre of interaction. foundation olDamc n atqaeEngineering Earthquake and Dyanmics Soil nentoa ora o ueia ehd nEngineering in Methods Numerical for Journal International niern Structures Engineering h hss eateto ii niern,Uiest olg fSasa February Swansea, of College University Engineering, Civil of Department thesis, PhD . rcdnso oa oit London Society Royal of Procedings 31:19,2008. 93(1):81–92, , SEJunlo tutrlEngineering Structural of Journal ASCE atqaeEgneig&Srcua Dynamics Structural & Engineering Earthquake opttoa ehd nApidMcaisadEngineering and Mechanics Applied in Methods Computational nentoa ora o ueia nAayia ehd nGeomechanics in Methods Analytical an Numerical for Journal International ehd fMteaia Physics Mathematical of Methods lsiiyfrSrcua Engineers Structural for Plasticity nfidFnt lmn ouint ttcadDnmcPolm in Problems Dynamic and Static to Solution Element Finite Unified A ae 5–5.EgneigMcaisDvso fteAeia Society American the of Division Mechanics Engineering 551–554. pages , ae 3410.EgneigMcaisDvso fteAmerican the of Division Mechanics Engineering 1304–1307. pages , 33:1–2,1985. 33(3):215–226, , 4:67,2017. 140:66–76, , 23138 1988. 12:371–378, , α ora fApidPlmrScience Polymer Applied of Journal method. 1998. , 88:1–3,1990. 28(8):719–734, , ora fapidmechanics applied of Journal 57778 2005. 25:717–728, , 5:9520,1997. 453:1975–2001, , 3()8488 ue2006. June 132(6):884–898, , rc PSSD 9 okhpo Job on Workshop ’98 IPPS/SPDP Proc. ie,1989. Wiley, . pigrVra,1988. Verlag, Springer . nentoa ora o ueia and Numerical for Journal International 916–31 1990. 29:1365–1391, , ()6–7 1974. 3(1):65–77, , eso:2.Ags,22,15:04 2021, August, 26. version: 0:6514,2007. 107:1635–1641, , niern Computations Engineering 02:7–7,1993. 60(2):371–375, , 3104 of 2953 page: 2018brabau ˘ 194(1):1427– , Journal 2019 ˘ , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et Rbr ira.Fs vlaino nt lmn ekfrsuigpto esrcnrcinpackages. contraction tensor python using forms weak element finite of evaluation soil– Fast 3D Cimrman. Robert including colossus memnon south of analysis Cicotti. fe Pietro Dynamic dam. I.Borja. earth Ronaldo an and of [Cim21] Casciati stability Sara on geometry valley of Influence [Cic11] Chugh. K. Ashok [CI04] NICHOLAS FENVES, J. [Chu14] STEVEN In program. STRUDL of capabilities design doing? and are we Analysis what know Chu. we S.L. do well How reliability: engineering Geotechnical Christian. sparse T. by John characterization history. site probabilistic Early 3D analysis: Phoon. Kok-Kwang [Chu73] spectrum and response Huang, Wen-Han in Ching, rules Jianye combination Modal [Chr04] Chopra. Clough. K. W. Anil Ray memoriam: In [CHP20] Chopra. K. Anil [Cho20] Chopra. K. groups. Anil pile loaded vertically of Analysis [Cho17] Chow. functions: K. impedance Foundation Y. Wong. L. H. and [Cho00] Luco, Enrique J. Hushmand, Behnam Crouse, B. seismic C. evaluating for [Cho86] criteria Walkdown Kassawara. R.P. and Kennedy, R.P. Henley, B.F. editor, Campbell, R.D. Sture, Stein [CHLW90] Chin. In C. localization. C. for conditions jump moving with [CHKK88] approach stochastic A Chen. Z. [Chi99] editors, Bianchini, G. and Saada A. In [Che95] Chen. mechanics. Wai–Fah soil in Bauschinger models multiaxial constitutive the of of Evaluation representation Chen. mathematical F. ”A W. for story the of side [Che94] My Chaboche. J.L. [Che88] [Cha07] AhkK hg.O h onaycniin nsoesaiiyanalysis. stability theory. earthquake slope up in Shaking conditions Chui. Glenda boundary the On Chugh. K. Ashok [Chu09] [Chu03] dynamics. beam in models shear and timoshenko analysis. of hazard comparison seismic the for On energy Noöl Challamel. input elastic of use the On Chapman. C Martin [Cha06] [Cha99] Journal Engineering Geoenvironmental and Geotechnical of Journal Dynamics Structural & Engineering geomechanics in methods AMOCO McCarron, O. W. Japan. with Tokyo, of collaboration University In Yamaguchi, E, 1994. and USA Netherlands, OK, The Tulsa, Company, Amsterdam, production AE 1000 37B 211, mechanics applied in Studies dacsi niern Software Engineering in Advances 2011. Diego, San UC interaction. foundation–structure editors, SCHNOBRICH, Mechanics C. Structural WILLIAM in and Methods ROBINSON, puter R. ARTHUR PERRONE, learning. Bayesian 2017. 46:3–4, 0-13-086973-2. ISBN 2000. edition, second Hall, experiment. versus Theory plants. power nuclear in margin 1999. Berkeley, California, of University 1995. May Engineers, Civil of Conference 10th of Proceedings Soils Non–Cohesive Granular for Equations Constitutive Frederick. and Armstrong by effect” ueia nAayia ehd nGeomechanics in Methods Analytical an Numerical Mechanics Engineering of 54:0–3,1999. 15(4):607–635, 110–27 2014. 51:1207–1217, , usrcuesbrcinmto n yai nlsso iefoundations pile of analysis dynamic and method subtraction Substructure argn rgamn oe o aec-iigsiniccomputations scientific latency-hiding for model programming a Tarragon: osiuieEutosfrEgneigMtras lsiiyadModeling and Plasticity Materials: Engineering for Equations Constitutive yaiso tutrs hoyadApiaint atqaeEngineering Earthquake to Application and Theory Structures, of Dynamics SEJunlo niern Mechanics Engineering of Journal ASCE 3(0:1114,Otbr2006. October 132(10):1141–1145, , 05–2 1986. 10:59–72, , ora fGoehia Engineering Geotechnical of Journal ae 0–1.EgneigMcaisDvso fteAeia Society American the of Division Mechanics Engineering 309–312. pages , ula niern n Design and Engineering Nuclear leir LEIRSINEBV aaBrehrtat2,P.O.Box 25, Burgerharstraat Sara B.V. SCIENCE ELSEVIER Elsevier, . 5:003 2021. 159:103033, , optr n Structures and Computers /(/) 2020. n/a(n/a), , aeil tHg Temperature High at Materials ae 2 4.Aaei rs,1973. Press, Academic 246. – 229 pages , Nature 79596 2003. 27:905–926, , 6(26:7–7,Otbr2009. October 461(7266):870–873, , atqaeEgneigadSrcua Dynamics Structural and Engineering Earthquake ae 8–9.A .Blea uy1988. July Balkema, A. A. 687–693. pages , nentoa ora o ueia n analysis and numerical for journal International 3(0:8–03 coe 2004. October 130(10):985–1003, , 4(2:4214 2020. 146(12):04020134, , 22-1:7913,Ags 2004. August 1736, 82(20-21):1719 , 1()4249 ac 1990. March 116(3):432–449, , 0(-)8 3 1988. 93, – 107(1-2):83 , 41:–6 2007. 24(1):1–26, , eso:2.Ags,22,15:04 2021, August, 26. version: nentoa ora for Journal International aainGeotechnical Canadian 3104 of 2954 page: ueia n Com- and Numerical atqaeSpectra Earthquake h thesis, PhD . SEJournal ASCE h thesis, PhD . oue2of 2 volume , Earthquake Prentice . ASCE , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et I oln n AKly hroehnclaayi fafml fsi models. soil of family a of analysis pollutant thermomechanical A and Kelly. PA heat and moisture, Collins IF of modelling Numerical Wood. Muir D. pollutant and and Jendele, heat L. moisture, Chan, of C. modelling H. [CK02] Numerical H. A. Wood. R. Muir In D. materials. and granular Jendele, on L. experiements Chan, Microgravity C. H. [CJW95b] Sture. A. S. and Janoo, C. V. Costes, basis C. Probabilistic N. Foutch. [CJW95a] A. Douglas and soil. Hamburger, liquefiable O. in Ronald piles Jalayer, of Fatemeh simulations Cornell, and Allin modeling [CJS87] C. Numerical Jeremić. Boris and piles. Cheng against spreading Zhao lateral soil of simulation and modeling [CJHF02] Jeremić. Numerical Boris and Cheng Zhao geomaterials. of simulation and modeling intermediate coupled [CJ09d] the fully deformation, Jeremić. in Large Boris and hyperelasto-placiticity Cheng Zhao for algorithm Constitutive Jeremić. Boris [CJ09c] and Cheng Zhao [CJ09b] [CJ09a] WiCeadQfn u.Tm-rqec epnesetu frttoa rudmto n t appli- its and motion ground rotational of spectrum response Time-frequency Luo. of Qifeng initiation and the Che for Wei models Probabilistic Seed. for B. Raymond kernels and algebra Kiureghian, linear Der dense environment. Armen triangular Cetin, programming Onder Batched element K. Ltaief. finite Hatem new and a [CL10] Keyes, of Elliot David Design Charara, Ali Geradin. M. and [CKS02] Klapka, I. Cardona, A poly- intrusive [CKL17] painless A Giannakoglou. uncertainty: K.C. and under Asouti, dynamics V.G. hydrologic Kantarakias, K.-D. nonlinear [CKG94] Chatzimanolakis, in M. Symmetry Kavvas. A Levent uncertainty: M. under and dynamics Cayar hydrologic nonlinear Mesut in [CKAG19] Symmetry processes Kavvas. fracture Levent dynamic the M. on and waveform Cayar media. pressure Mesut applied granular the in of stress Influence and Kaneko. [CK09b] K. work and virtual Cho On H. S. Kuhn. R. Matthew [CK09a] and Chang S. Ching [CK05b] [CK05a] YaziCe,TmLri,adNww hu.Eprmna seseto otc ocso rigid a on forces contact of assessment Experimental Chouw. Nawawi and Larkin, Tam Chen, Yuanzhi [CLC17] Jay hn,Ga-ogLn i-uCe,adKkKagPon rnfrainmdl o effective for models Transformation Phoon. Kok-Kwang and Chen, Jie-Ru Lin, Guan-Hong Ching, Jianye [CLCP16] rnpr nprilystrtdpru ei sn betoine rgamn.Tcnclreport, Technical programming. 1995. oriented G128QQ, object Scotland Glasgow, using of media University Engineering, porous Civil report, saturated of Technical Department partially in programming. transport 1995. oriented G128QQ, object Scotland Glasgow, using of media University Engineering, porous Civil saturated of Department partially in transport editors, 1987. Nordine, 203–212, C. pages P. and Doremus guidelines. frame moment steel agency management emergency Engineering federal Structural sac 2000 for Engineering Earthquake and Dynamics In Engineering in Methods Numerical for Journal International configuration. ora fSld n Structures and Solids of Journal 2002. 518, cation. liquefaction. soil seismic gpus. on sizes matrix small very Computations Engineering applications. aquifers. rans-based neering with heterogeneous method in chaos nomial flow unsteady for equation Engineering Boussinesq Hydrologic 2D of Journal of modeling Ensemble approach. modeling rock. in aefloigfoiguplift. footing following base EQE-15-0471.R3. rcinageadrltv est airtdbsdo eei aaaeo oregandsoils. coarse-grained of database generic on based calibrated Journal density Geotechnical relative and angle friction npoednso h eOlno e nttt nulConference Annual Institute Geo GeoOrlando, the of proceedings In 4:0 2,2019. 221, – 348:207 , atqaeScience Earthquake nentoa ora fJpns oitefrRc Mechanics Rock for Comittee Japanese of Journal International omnctosi ueia ehd nEngineering in Methods Numerical in Communications SEJunlo yrlgcEngineering Hydrologic of Journal ASCE 44:8–0,2016. 54(4):481–501, , 2()5653 pi 2002. April 128(4):526–533, , tutrlSafety Structural 13531 1994. 11:365–381, , 31:17,2010. 23(1):71–77, , atqaeEgneig&Srcua Dynamics Structural & Engineering Earthquake 21)37–73 2005. 42(13):3773–3793, , C rnatoso ahmtclSoftware Mathematical on Transactions ACM 41)0102 coe 2009. October 14(10):001–012, , 910–46 2009. 29:1405–1416, , aeilRsac oit ypsu Proceedings Symposium Society Research Material 41:78,Jnay2002. January 24(1):67–82, , optrMtosi ple ehnc n Engi- and Mechanics Applied in Methods Computer 09 nreview. in 2009. , 41)0100 coe 2009. October 14(10):001–010, , 09 nreview. in 2009. , rad,Foia ac 2009. March Florida, Orlando, , eso:2.Ags,22,15:04 2021, August, 26. version: ()2–8 2005. 1(1):25–28, , 61)13–84 2017. 46(11):1835–1854, , Geotechnique 2017. , 3104 of 2955 page: SEJunlof Journal ASCE oue87, volume , International 52(7):507– , Canadian ASCE Soil Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et Rbr .Co,DvdS aks ihe .Peh,adRbr .Witt. J. Robert and Plesha, E. Michael Malkus, S. David Cook, D. Robert [CMPW01] A utõadM ri.Amtra needn ehdfretnigsrs paealgorithms update stress extending for method independent – material A Ortiz. M. Cuitiño and A. editors. Odishaw, Hugh and Condon E.U. [CO92] of evaluation Uplift Caudron. Matthieu and Billion, [CO67] Nazé, Pauline engineer- Pierre-Alain in Chatzigogos, instruction T. Multimedia–based Charisis Sircar. K. Jayanta and McCuen, H. Richard amplification? Chang, seismic C. for Proxy Peter [CNBC13] VS30: Rossi. Luigi Piermaria and Mulargia, Francesco Castellaro, Silvia earthquake in [CMS95] functionals damage of use The Ramasco. Roberto and Manfredi, Gaetano Cosenza, Edoardo [CMR08] [CMR93] formulation element lower–order Enhanced Lyons. R. P. L. Jelenić, and G. Moita, F. G. Crisfield, A. M. [CMO [CMJL95] Ai .Cor n rn cen.Mdln icu apn nnnierrsos itr analysis history response nonlinear in damping plastic viscous and Modeling anisotropy, mem- stress–dilatancy, McKenna. Frank between shared and relationship Chopra the K. distributed Anil On A [CMD Muhunthan. B interaction. HRUNTING: soil-structure and in Collins dissipation IF Energy Mobarry. McGuire. Jeff [CM16] and M. Crouse C.B. Clark and [CM03] Crawford A. In Jason matrices. symmetric [CM01] sparse Mander. B of John bandwidth and the Chang GA Reducing McKee. J. [CM98] and Cuthill translations. under E. integrals wiener of Transformations Martin. [CM94] W.T. incident and by Cameron excited interaction R.H. soil-structure In-plane Trifunac. D Mihailo and [CM69] Lee, W Vincent Cai, constant- Yiwei for equations processors. prediction Ground-motion graphics [CM44] on Mollaioli. methods Fabrizio element and finite Lucchini, of Andrea Assembly Cheng, Yin Darve. [CLT18] E. and Lew, J. Adrian Cecka, Cris [CLM20] [CLD10] YnCeg arzoMlaoi n Jesús Donaire- and Mollaioli, Fabrizio Cheng, Yin A21] + ´ Yfn u,Raa or,KmOsn mtCorsa hlpMehig enr ise,Steven Minster, Bernard Maechling, Philip Chourasia, Amit Olsen, Kim Moore, Reagan Cui, Yifeng 09] a,Yafn u igZu n hmsJra.Twr eacl atqaesimulations. Analysis Element earthquake Finite petascale of Toward Jordan. Thomas and Zhu, Jing Geotechnica Hu, Yuanfang Day, rmsalsri lsiiyt nt lsiiywt utpiaiekinematics. multiplicative with plasticity 1992. finite 9:437–451, to plasticity small–strain from QC21C7. for guidelines design and methods calculation different In 2013 of industry. assessment nuclear loading: the seismic under structures 1995. October 121(4):216–219, Strategy. education: ing Letters Research Seismological methods. different 1993. between 22(10):855–868, comparison a engineering: strains. large for Engineering Earthquake and Dynamics Soil 2020. fbidnsfrerhuk excitation. 2016. earthquake for buildings of materials. granular for dissipation In workstation. 2001. May parallel 17(2):235–259, Beowulf the for http://www.beowulf.org/papers/index.html system ory capacity seismic of I-Evaluation conference national 24th 1969 the of Proceedings Meeting; Conference/Annual Mathematics waves. SV plane spectra. energy input constant-ductility and strength Engineering in Methods Numerical for Journal International ai,Fac,2-1Otbr2013. October 28-31 France, Paris, , ()7–3 2009. 4(2):79–93, , 52:8–9,1944. 45(2):386–396, , opttoa Mechanics Computational olDnmc n atqaeEngineering Earthquake and Dynamics Soil s ofrneo ehia noaini ula ii niern TINCE – Engineering Civil Nuclear in Innovation Technical on Conference 1st ie,4heiin 2001. edition, 4th Wiley, . SEJunlo rfsinlIse nEgneigEuainadPractice and Education Engineering in Issues Professional of Journal ASCE 94:4–4,2008. 79(4):540–543, , ainlCne o atqaeEgneigRsac uao Y 1994. NY, Buffalo, Research Engineering Earthquake for Center National . esi nrybsdftgedmg nlsso rdeclms Part columns: bridge of analysis damage fatigue based energy Seismic Geotechnique atqaeEgneig&Srcua Dynamics Structural & Engineering Earthquake 4:–4 2021. 147:1–14, , 76–3 1995. 17:62–73, , adoko Physics of Handbook 37:1–1,2003. 53(7):611–618, , vl.Caatrzto fdsiae nrydemand. energy dissipated of Characterization Avila. ´ ultno atqaeEngineering Earthquake of Bulletin atqaeegneig&srcua dynamics structural & engineering Earthquake 55:3–6,2010. 85(5):537–561, , 0:2–3,2018. 105:224–230, , rceig,IE Aerospace IEEE Proceedings, crwhl okCmay 1967. Company, Bokk hill McGraw . eso:2.Ags,22,15:04 2021, August, 26. version: niern Computations Engineering ocpsadApplications and Concepts ae 5–7,1969. 157–172, pages , 3104 of 2956 page: atqaeSpectra Earthquake 45(2):193–211, , 18(1):37–55, , h nasof Annals The C Annual ACM 1998. , Acta , , , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et C rmr .Pce,adL aen.Cci ar-lmn fsi tutr neato:Mtra and Material interaction: structure soil of macro-element Cyclic Davenne. L. and Pecker, A. Cremer, C. [CPD01] con- of element application finite iterative the for On criteria convergence Amado-Mendes. on P. experiences [CPB numerical and Some Godinho, Phoon. L. K.K. coefficient. and Alves-Costa, friction Chen P. the X. Castanheira-Pinto, on A. effects Size-scale Paggi. Marco [CPACGAM18] elastoplastic and backward-difference Carpinteri in Alberto error on bound rigorous A Perego. Umberto [CP09] and Theory. Cocchetti Beam Giuseppe Timoshenko’s in Coefficient Shear The [CP05] Cowper. R. G. Coussy. [CP03] O Coussy. Olivier media. nonlinear through [Cow66] wave dimensional Two Costantino. J. [Cou04] Carl [Cou95] assessment. performance seismic Fran¸cois Cosserat. and Eugéne in Cosserat [Cos69] challenges and Progress mid-point generalized the Cornell. using Allin systems C. elastoplastic discretized [Cos09] of analysis Numerical rediscovered. and Corigliano. remembered A. be to scientist engineering non-conforming A [Cor00] Irons: Bruce Cormeau. analysis. Ivan risk seismic Engineering [Cor94] Cornell. Allin C. [Cor86] [Cor68] JmsO Coplien. O. James nuclear for requirements assurance quality NQA-1-2017 ASME Assurance. Quality dimensions. Nuclear three on elastic/plastic in Committee models coupled state critical for constructing laws for procedure [Cop92] constitutive systematic A the Collins. of IF aspects non-associated and Associated [Com18] Collins. IF [Col03] [Col02] Coduto. P. Donald Coduto. P. Donald [ÇOK [Cod99b] [Cod99a] + + C .I lyo,J .Pis,M u,A evs n .G i.TeSoo eoatclm apparatus: column resonant Stokoe The Kim. G. S. and Zervos, A. Bui, M. Priest, A. J. Clayton, I. R. C. 09] Mhe ¸lb,IuuOaa ohdt ahm,Si oaa n aaoiIb.Rsos fatall a of Response Iiba. Masanori and Koyama, Shin Kashima, Toshidate Okawa, Çelebi, Izuru Mehmet 12] ffcso tffes asadseie fixity. specimen and mass stiffness, of effects 1966. 06 33(2):335–340, 51)15–24 2001. 25(13):1257–1284, nonlinearities. geometrical study. numerical A vibrations: traffic of filtering Engineering the Earthquake on and inclusions periodic buried tinuous solvers. Structures and Solids of time-integration. Scien- Librairie Paris). by 6, 1969. 1909, Sorbonne, 4:147–170, in la published de rue (originally 6, 1909. Fils, France, et Paris, Herman 75005 A. Saint-Jacques, tifique rue bis 151 2018. gust 2000. integration. time Engineering in Methods Numerical for Journal International 1968. 58(5):1583–1606, 1992. Company, ora fSld n Structures and Solids of Journal aiiyapiain.AM,ToPr vne e ok Y 01 S,Jnay2018. January USA, 10016 NY, York, New Avenue. Park Two ASME, applications. facility aftershocks. and materials. earthquake Japan East BUILDINGS Great SPECIAL 9.0 AND M TALL 2011 march OF 11 DESIGN the STRUCTURAL of THE epicenter the from far building https://apps.peer.berkeley.edu/news/2000spring/performance.html optr n Geotechnics and Computers nentoa ora fGeomechanics of Journal International Poromechanics ehnc fPru Continua Porous of Mechanics optrMtosi ple ehnc n Engineering and Mechanics Applied in Methods Computer Computations Engineering etcnclEgneig rnil n Practice and Principle Engineering: Geotechnical Practice and Principle Design: Foundation dacdC+ rgamn tlsadIdioms and Styles Programming C++, Advanced 291)20–90 2005. 42(9-10):2901–2910, , onWly&Sn,2004. Sons, & Wiley John . nentoa ora o ueia n nltclMtosi Geomechanics in Methods Analytical and Numerical for Journal International 1:9 0,2018. 405, – 113:391 , 01)47–37 2003. 40(17):4379–4397, , 68:2218,Otbr2009. October 36(8):1272–1284, , he redsCrsDéformables Corps Théorie des 13941 1994. 11:389–411, , Géotechnique onWlyadSn,19.IB 7 56 2. 95267 471 ISBN 1995. Sons, and Wiley John . ()2927 2002. 2(2):259–267, , ultno h esooia oit fAmerica of society seismological the of Bulletin 95:2–3,Jn 2009. June 59(5):429–438, , 211,1986. 22:1–10, , rnieHl,1999. Hall, Prentice . rnieHl,1999. Hall, Prentice . ora fCmuainlPhysics Computational of Journal 2012. , . dio elyPublishing Wesley – Addison . eso:2.Ags,22,15:04 2021, August, 26. version: dtosJcusGby(2008), Gabay Jacques Editions ´ ora fApidMechanics Applied of Journal 9:9942,2003. 192:4909–4927, , 3104 of 2957 page: nentoa Journal International ERnewsletter PEER cesd1Au- 1 Accessed olDynamics Soil International , , , , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et Jay hn,KkKagPon n hhHunW.Ipc fsaitclucranyo geotechnical on uncertainty statistical of Impact Wu. Hsuan foundations. Shih shallow and Phoon, of Kwang modeling Kok Ching, Macroelement Jianye Salen¸con. J. and Pecker, A. Chatzigogos, C.T. [CPW16] [CPS09] S .Coc n .Slu.Todmninldrc onayitga ehdfrmliaee elastic multilayered for method integral boundary direct Two-dimensional Selcuk. S. and assemblies. Crouch granular L. for model S. numerical discrete A Strack. DL Otto and Cundall A Peter degradadation. [CS92] elastic anisotropic of formulation the On William. Kaspar and Rizzi, Egidio [CS79] Carol, Ignacio I. degradadation. elastic anisotropic In of formulation the damage. On William. and Kaspar and degradation Rizzi, elastic [CRW01b] Egidio Carol, in Ignacio issues Current Willam. Kaspar and Rizzi, Egidio Carol, In Ignacio [CRW01a] motion. seismic on geology surface of Effects Crouse. C.B. [CRW95] Crisfield. A. M. beam- three-dimensional, non-linear, [Cro11] for Crisfield. formulation A. M. co-rotational consistent A Crisfield. [Cri97] method. Raphson A Newton Michael the with computation under- plasticity for of schemes dangers Consistent the [Cri91] Crisfield. and A. structures M. concrete in response snap-back and Snap-through [Cri90] Crisfield. A. method. M. Newton–Raphson modified the dumping and accelerations. Accelerating [Cri87] and Crisfield. searches A. line M. including method length – arc An through. [Cri86] - Crisfield. snap A. handles M. that procedure solution iterative / incremental spatially fast A [Cri84] in Crisfield. systems A. anchoring M. offshore of quantification II: Uncertainty Part [Cri83] – Rouainia. M. equations and constitutive Charlton viscoplastic S. and T. plastic the [Cri81] On Rousselier. G. Rules and I: Chaboche Part – L. equations J. constitutive [CR19] viscoplastic and plastic the On Rousselier. G. and Chaboche L. J. [CR83b] [CR83a] [CPZ + Wni u,DvdM ot,Ldj dakv´,Keetn .Gwca ai ..Tbra and Taborda, M.G. David Gawecka, A. Zdravković, Klementyna Lidija Potts, M. David Cui, Wenjie 18] eiblt estimation. reliability Engineering Earthquake and Dynamics uainlPatct oes otae n Applications and Software, Models, Plasticity putational tures media. 1979. 29(1):47–65, damage. tensile 2001. for 38:519–546, model pseudo–Rankine generalized II. rate. tensor 2001. damage 38:491–518, pseudo–logarithmic a on based theory 1995. May Engineers, Civil of Society American the editor, Sture, Stein 1997. USA, 10158–0012, 2011. NY August York, 23-26 New UCSB, Avenue, Third 605 York, New 1991. Inc. USA, Sons, 10158–0012, and NY Wiley York, John New Avenue, Third 605 York, New Inc. Sons, and Wiley elements. integration. Engineering in Methods Numerical for Structures & expansions. chaos polynomial Engineering sparse using soil variable steel. stainless 1983. 316 May the to 105:159–164, concepts variable internal of Applications concept. variable 1983. internal with developed beams curved for formulation element finite two-dimensions. thermo-hydro-mechanical in coupled A Tsiampousi. Aikaterini 83:9–0,1984. 18(3):395–407, , nentoa ora o okMcaisadMnn Sciences Mining and Mechanics Rock for Journal International optrmtosi ple ehnc n engineering and mechanics applied in methods Computer ()2,2019. 0(0):20, , nentoa ora o ueia ehd nEngineering in Methods Numerical for Journal International 35–2 1981. 13:55–62, , o–ierFnt lmn nlsso oisadSrcue oue2 dacdTopics Advanced 2: Volume Structures and Solids of Analysis Element Finite Non–Linear o–ierFnt lmn nlsso oisadSrcue oue1 Essentials 1: Volume Structures and Solids of Analysis Element Finite Non–Linear optr n Geotechnics and Computers rceig f1t Conference 10th of Proceedings ora fEgneigMechanics Engineering of Journal 919–29 1983. 19:1296–1289, , 95:6–8,My2009. May 29(5):765–781, , ora fPesr eslTechnology Vessel Pressure of Journal 0:0 1,2018. 114, – 103:103 , ae 2–2.EgneigMcaisDvso of Division Mechanics Engineering 521–524. pages , 4()0062,2016. 142(6):04016027, , :3–6,1987. 1:136–160, , nentoa ora o ueia ehd in Methods Numerical for Journal International nentoa ora fSld n Structures and Solids of Journal International nentoa ora fSld n Structures and Solids of Journal International t APIIE nentoa Symposium International IASPEI/IAEE 4th ora fPesr eslTechnology Vessel Pressure of Journal 12:3–5,1990. 81(2):131–150, , 95:9–0,1992. 29(5):491–501, , eso:2.Ags,22,15:04 2021, August, 26. version: 27177 1986. 22:751–767, , 3104 of 2958 page: nentoa Journal International 0:5–5,May 105:153–158, , optr Struc- & Computers Geotechnique Computers John . Com- Soil , . , , , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et BuoCpaadAanSlir rhtoi oeln fakl-grgt ecini oceestructures: concrete in reaction alkali-aggregate of Appli- modelling Orthotropic elements: Sellier. compression Alain buckling and with Capra structure Bruno tensegrity A Stamenović. D. and Coughlin F. M. [CS03a] [CS97] LiiCci nraTrulai n ord atlao h htgahcdtsto h rotational the of dataset photographic The Castellano. Corrado and Tertulliani, Andrea Cucci, (northern Luigi Emilia 2012 the by induced objects earthquake-rotated 2009 The Tertulliani. the Andrea by and induced Cucci Luigi effects rotational between [CTC11] relation a for Clues Tertulliani. Andrea and Cucci Luigi [CT13] in tunnels deep of analysis Seismic Paolucci. Roberto and Lai, G Carlo Scandella, Laura Corigliano, [CT11] Mirko rocks. anisotropic of modeling damage elastoplastic [CSLP11] Coupled Huang. H.W. earthquakes: and during Shao, rotations J.F. Free-field Chen, L. Guidotti. Roberto and [CSK Stupazzini, Marco Castellani, Alberto [CSH10] [CSG12] slab concrete the in arising stresses tensile of Analysis Basso. R. and Crapp, R. Stucchi, plants R. hydroelectric in Catalano, reactions E. aggregate alkali of review [CSF A Curtis. D isolation. D seismic and for Solymar, V application S its Charlwood, and G foundation R periodic [CSCB18] Composite Shi. Z.F. and Cheng Z.B. plasticity. classical of mathematics the [CSC92] in friction Including pressures. confining Sands. low C.M. at and sand Chandler of H.W. strength [CS18] shear and Dilatancy Salgado. R. and 754-2008, Chakraborty Std IEEE T. Report non-proportional Technical arithmetic. under floating-point behavior for standard sand [CS10b] Ieee Society. of Computer IEEE modeling Microplane pile–shafts. Sture. extended Stein of and [CS10a] performance Chang seismic Kuang-Tsung of Assessment Song. S.T. [CS08] and Chai Y.H. [CS06] [CS03b] + + KvnJ oprmt,Lwec .Slmn,CrsW ulr ar .Gae,KtrnL Hanson, L. Kathryn Glaser, L. Laura Fuller, W. Chris Salomone, A. Lawrence Coppersmith, J. Kevin 12] K ne ei,RyodB ed re e irgin oj oias,Lsi .Hre Jr., Harder F. Leslie Tokimatsu, Kohji Kiureghian, Der Armen Seed, B. Raymond Cetin, Onder K. 04] ueia simulations. numerical mechanics. cell to cation uk niern tutrlDynamics Structural & Engineering quake GEOMECHANICS IN METHODS ANALYTICAL 2010. AND 72, NUMERICAL FOR JOURNAL TIONAL Engineering Geoenvironmental and Geotechnics of Journal Dynamics Structural & Engineering ffcspoue yte20 ’qiaearthquake. L’aquila 2009 the by produced effects factors. geomorphological and seismological with Letters Relation sequence: seismic Italy) America of Society M Italy. southern in study case a 2011. conditions: fault near deterministic and probabilistic potential. test-based liquefaction penetration Standard soil Engineering Moss. seismic S. of E. Robert assessment and Kayen, E. Robert Geotechnics and Computer buildings. Valentina on 2012. for Bozkurt, Relevance States., (SSC) United characterization B. Institute, source Sarkan Research seismic and Power Slayter, (CEUS) Syms, Electric H. States amd report, Frank United Shumway, Technical R. L. eastern M. facilities. Gerry Allison and Robert nuclear Perman, McGuire, Central C. Youngs, K. Tuttle. Roseanne Robin P. L. Montaldo, McDuffie, Martitia Falero M. Davis J. Stephen Toro, Randolph Lindvall, Cumbest, C. R. Scott Gabriel Lettis, R. Stirewalt, William Hartleb, D. Ross In areas. seismic in CFRD of Canada Fredericton, Dams, and Plants In dams. and 2008. Engineers, Electronics and Electrical of Institute loading. w . ’qia(eta tl)erhuk n ieadsuc effects. source and site and earthquake Italy) (central L’Aquila 6.3 46:7–8,2013. 84(6):973–981, , optr n Geotechnics and Computers 3(2:3414,Dcme 2004. December 130(12):1314–1340, , rceig fteItrainlCneec fAkl-grgt ecin nHydroelectric in Reactions Alkali-Aggregate of Conference International the of Proceedings 0()10–10 ue2011. June 101(3):1109–1120, , ehnc fmaterials of Mechanics atqaeEgneig&Srcua Dynamics Structural & Engineering Earthquake rnatoso SEJunlo ple Mechanics Applied of Journal ASME of Transactions 71714 2010. 37:187–194, , yr 08cneec proceedings conference 2018 Hydro 213–94 2003. 32:1937–1954, , 33:7–8,Arl2006. April 33(3):177–187, , ae 2–3,1992. 129–135, pages , 74:2–4,2018. 47(4):925–944, , 58:1–3,2003. 35(8):817–830, , SEJunlo etcnc n Geoenvironmental and Geotechnics of Journal ASCE iclae INGV Miscellanea ultno atqaeEngineering Earthquake of Bulletin 3()52 2010. 136(3):532, , dnk oad 2018. Poland, Gdansk, , 2011. , eso:2.Ags,22,15:04 2021, August, 26. version: 15:7–9,2012. 41(5):875–891, , ultno h Siesmological the of Bulletin 44046 1997. 64:480–486, , esooia Research Seismological 3104 of 2959 page: 9(4):975–995, , Earthquake INTERNA- 34:53– , Earth- ASCE Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et DR urn rsueidcdsrnt rniini ae-auae elgcmtras In materials. geologic water-saturated in transition strength pressure-induced A [ Curran. D.R. 1998-1999. communications, Private Cundall. edit. Peter can anyone that pages web for web–system a triggering Wikiwikiweb, liquefaction Cunningham. [Cur94] G. soil Howard seismic of Assessment Jeremic. [Cun99] Boris and Unutmaz, Berna framed Cetin, of Onder demand K. energy [Cun94] seismic evaluating for procedure A Uang. Chia-Ming approach. and attenuation Chou spectraan [CUJ12] Chung-Che energy absorbed Establishing Uang. Chia-Ming [ and Chou Chung-Che saturated of simulation and Modeling [CU03] Dafalias. Yannis Jeremić, and Boris Taiebat, Mahdi Cheng, Zhao [CU00] [CTJD07] BinSJCiuadRbr ons paeo h ho n onsNAmdlfrteaverage the for model NGA youngs and chiou the of Update Youngs. R Robert and Chiou S-J Brian localization to elasto–plasticity in solutions analytical of [CY14] Application Willam. Kaspar and materials. Carol softening Ignacio and strategies In Solution method. Wills. element [CWZ J. finite the and by Crisfield dam M.A. gravity a of analysis Stress of Wilson. [CW97] E.L. response and the Clough R.W. predict to competition international [CW88] An Melhorn. G. and Vecchio, F. [CW62] Collins, P. M. [CVM83] [CVG barrier vibrating inerter-equipped An Giaralis. Agathoklis and Tombari, Alessandro Cacciola, Pierfrancesco dome [CTH first the of configuration structural The Durukal. Eser and Taylor, M. S¸. Çakmak,[CTG20] Rabun Ahmet [ÇTD09] CUS Miˇsko ] Cub ˇ ˇ + + + + M. 08] O aalna .Vnua .Grs`,B zebn,B haa .Cipii n .Fncho Seismic Finocchio. G. and Chiappini, M. Chiaia, B. Azzerboni, Garesc`ı, B. F. Ventura, G. Casablanca, O. 18] K hcaigm .R ok,J .Hls .R atn .C ilt,adLagh hn.Crystal Zhang. Liangzhe and Millett, C. P. Gaston, R. D. Hales, D. J. Tonks, R. M. Chockalingam, K. 13] SuiCe,Bn ag hoe h,XajnTn iin u uLa,Laca ag n Linzhi and Wang, Lianchao Lian, Xu Hu, Jiqiang Tan, Xiaojun Zhu, Shaowei Wang, Bing Chen, Shuai 20] hs VFac 4(94 823C-4,19.DI 10.1051/jp4:1994836. DOI: dynamiques 1994. sollicitations Congrès international C8-243-C8-247, matériaux / sous (1994) Loading des 04 Dynamic France physique under IV mécanique et Materials Phys. comportemant of le Behaviour and sur Mechanical on Conference //c2.com/cgi/wiki?WikiWikiWeb/ HSpprwsNTWITNb e(oi eei) icvdi niei ue2015! June in online it discoved I Jeremic), (Boris me by WRITTEN NOT was paper THIS systems. foundation building beneath structures. Dynamics Structural & Engineering Earthquake In geomaterials. newton-krylov. jacobian-free with plasticity ehnc n Engineering and Mechanics metamaterials. on based foundations 2018. composite in 123(17):174903, using Shaking buildings of analysis: isolation dynamic soil–coupled 3-d by spreading flow. lateral ground to of response direction pile the of Prediction mata. oiotlcmoeto ekgon oinadrsos spectra. response and motion ground peak of component horizontal energy. trapping recoverable for structure Manufacturing stiffness and negative Science Applied composite novel A Wu. In models. damage of analysis RILEM Toronto, Institüt of für Massivbau, Canada University Toronto, Engineering, Hydro, 1983. Civil Germany, Ontario West of Department, Darmstadt, Department Research TH–Darmstadt, report, Civil Technical Canada; Toronto panels. concrete reinforced STC-18-0444.R2. e2474 structures. 2020. excited seismically 27(3):e2474, of analysis. control motion literary noninvasive and for structural on based investigation Engineering An Earthquake 537–558): and (A.D. Dynamics Soil Sophia Hagia Justinian’s of 13 2014. 1153, urnvk,R zoa .Sgt,K oias,M ao .Ihhr,Y skmt,adT Ka- T. and Tsukamoto, Y. Ishihara, K. Sato, M. Tokimatsu, K. Sugita, H. Uzuoka, R. Cubrinovski, ˇ urnvk.Piaecmuiain... 07–. 2007 ..., communications. Private Cubrinovski. ˇ 1962. , atqaeEgneig&Srcua Dynamics Structural & Engineering Earthquake npoednso h eDne conference GeoDenver the of proceedings In 62729 1988. 66:267–289, , olDnmc n atqaeEngineering Earthquake and Dynamics Soil OPA 5 COMPLAS 2:067 2020. 129:105697, , olDnmc n atqaeEngineering Earthquake and Dynamics Soil 1994. , 94:9–9,Arl2009. April 29(4):693–698, , opttoa Mechanics Computational 72 ac 1997. March 17-20 , 91)14–45 2000. 29(10):1441–1455, , 22:2–4,2003. 32(2):229–244, , 2007. , tutrlCnrladHat Monitoring Health and Control Structural 16767 2013. 51:617–627, , atqaeSpectra Earthquake eso:2.Ags,22,15:04 2021, August, 26. version: 86:2–3,Jn 2008. June 28(6):421–435, , optrMtosi Applied in Methods Computer ora fApidPhysics Applied of Journal 30:6 7,2012. 173, – 43(0):160 , 3104 of 2960 page: opstsPr A: Part Composites http://http: 30(3):1117– , International oueJ. volume , Bulletin , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et Y .Dfla.Ise ntecntttv omlto tlreeatpatcdfrainpr1 Kinematics. part1: deformation elastoplastic large at formulation constitutive the on Issues Dafalias. F. hypoplasticity. Y. and foundations Mathematical I: plasticity. surface Bounding Dafalias. F. model. Yannis plasticity soil state critical [Daf87] anisotropic An Dafalias. F. Y. [Daf86b] [Daf86a] thermodynamic resulting and postulate Il’iushin’s paper: the on closure Author’s Dafalias. attenuation F. the Yannis on analysis Feasibility Chatzi. N. Eleni and Antoniadis, A. Ioannis Dertimanis, K. its Vasilis [Daf77a] and liquefaction of modeling centrifuge seismic on and studies field Recent free Abdoun. Tarek the and Dobry [DAC16] in Ricardo sand liquefied spin. of plastic response the Post–triggering of origin Abdoun. microscopic Tarek the and On Dobry [DA01] Ricardo Aifantis. C. E. and Dafalias F. Y. [DA98] D’Alembert. Jean [DA90] [D’A58] [CZW curves p-y of factors [CZH degradation of Computation Zahmatkesh. Ali and Choobbasti paths. Janalizadeh stress Asskar various under sand [CZA of behavior Non-coaxial Li. X. and Wanatowski, D. Yu, H.-S. [CZ16] Cai, Y. [CYWL12] Y .Dfla.Ise ntecntttv omlto tlreeatpatcdfrainpr2 Kinetics. part2: deformation elastoplastic large at formulation constitutive the on Issues Dafalias. F. Y. [Daf88] deformations. plastic large of formulation constitutive macroscopic the in link missing A Dafalias. F. Yanis spin. plastic cou- The elastic–plastic Dafalias. on F. conditions Y. thermodynamic resulting and postulate Il’iushin’s Dafalias. [Daf85b] plasticity. F. of Yannis formulation space strain thermodynamic a [Daf85a] within coupling Elasto–plastic Dafalias. F. Yannis [Daf77c] [Daf77b] + + + Ade oob,RceeZchrn,Gui gzi noi aem,adEeiCaz.Mitigation Chatzi. Eleni and Palermo, Antonio Aguzzi, Giulia Zaccherini, Rachele Colombi, Andrea 20] L hn ag JHli,GJMra,adA lme.Nmrclivsiaino wave–structure of investigation Numerical Plummer. AR and Morgan, GCJ Hillis, AJ Zang, J Chen, LF 14] CagiCi ix hu ica u a ag alnX,adHain uag einadnumerical and Design Ouyang. Huajiang and Xu, Daolin Wang, Kai Wu, Linchao Zhou, Jiaxi Cai, Changqi 20] ora fEgneigMechanics Engineering of Journal openfoam. using interaction tested. bench metafoundations and Metabarriers waves: seismic of caMechanica Acta 1986. 13(6):341–347, 1985. Publishers, Sciences Applied Elsevier 135–151. coupling. elastic–plastic on conditions barriers. mass-in-mass of lattices periodic finite using motions Mechanics ground strong of Dynamics Soil and editor, Engineering Prakash, Earthquake Geotechnical S. 2001. in In Advances foundations. Recent deep on effects 1998. editors, 1998. Holtz, August ASCE, D. III 270–300. Robert Dynamics pages Soil and 75, and Yegian, No. Engineering Mishac Publication Earthwuake Geotechnical Dakoulas, Panos Conference: Specialty In foundations. near 1990. 1990. in 82(1-2):31–48, published edition This 1758), in published (originally 1758. France, gaps. band low-frequency very 2020. for 236:111862, metamaterials quasi-zero-stiffness of validation 2020. 485:115537, model. finite-element three-dimensional using piles of analysis Engineering Earthquake for soils liquefiable in Engineering 2012. Geoenvironmental 5606.0000854), and Geotechnical of Journal ASCE 1977. caMechanica Acta editors, Bianchi, G. and Sawczuk A. In pling. Mechanics Non–Linear of Journal International nentoa ora fSld n Structures and Solids of Journal International 4()0066,2016. 142(9):04016060, , 91918 1987. 69:119–138, , 31116 1988. 73:121–146, , Traité Dynamique de 96 4 2016. 74, – 89:61 , ca Engineering Ocean ora fApidMechanics Applied of Journal 1()9697 etme 1986. September 112(9):966–987, , . nentoa ora fSld n Structures and Solids of Journal International lsiiyTdy oeln,MtosadApplications and Methods Modelling, Today: Plasticity dtosJcusGby 5 i u an-aqe,705Paris, 75005 Saint-Jacques, rue bis 151 Gabay, Jacques Editions ´ 23737 1977. 12:327–337, , 89–0,2014. 88:91–109, , 32921 1977. 13:239–251, , rceig fFut nentoa ofrneon Conference International Fourth of Proceedings 28581 eebr1985. December 52:865–871, , nprint(doi:10.1061/(ASCE)GT.1943- in , ehnc eerhCommunications Research Mechanics ora fSudadVibration and Sound of Journal eso:2.Ags,22,15:04 2021, August, 26. version: a ig,Mrh26-31 March Diego, San , ora fEngineering of Journal opst Structures Composite etcnclSpecial Geotechnical , 3104 of 2961 page: olDnmc and Dynamics Soil caMechanica Acta rceig fa of Proceedings 13:1305–1307, , pages , ASCE , , , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et Y .Dfla.O utpesisadtxuedvlpet aesuy ieai n orthotropic and Kinematic study: case development. texture and spins multiple On Dafalias. F. Y. [Daf93] SrtKmrDsadPai ua auhr oprsno natrc alr rtrauigvarious using criteria failure rock intact of Comparison Basudhar. Kumar consistent Prabir a Toward and Das theory: media Kumar porous Sarat the of developments historical the properties. in Highlights soil Boer. in–situ de of Reint autocovariance Estimating Baecher. B. Gregory [DB09] and continua. DeGroot polar J. for Don theory J2-flow of continuum. generalisation [dB96] Cosserat A the of Borst. reappraisal René de a approach. localization: unified strain a of - [DB93b] Simulation loading thermal Borst. René de and creep, plasticity, cracking, Smeared [dB93a] Borst. de R. problems. stability soil for [dB91] theory plasticity Borst. classical René de of adaptations Some Brooker. R. J. [dB87] and Davis H. E. [dB86] method. Day. multifrontal Milton unsymmetric-pattern Steven the for strategy pre-ordering [DB73] column A Davis. T.A. method. multifrontal unsymmetric-pattern two- an [Day77] the Umfpack, of 832: performance Algorithm the Davis. Evaluating T.A. Trujillo. F Mario and [Dav04b] Anumolu, Lakshman Deshpande, S elasto–plasticity. Suraj strain large in considerations [Dav04a] Invariance Dashner. A. P. [DAT12] Darendeli. Baris Mehmet [Das86] [Dar01] ? redundancy or Necessity spin: Plastic Dafalias. F. Yannis [DAO [Daf98] R eBe n .J oasi hroyaiso udstrtdpru eilwt hs change. phase a with medial porous fluid–saturated of Thermodynamics Kowalski. J. S. criterion. hill and the Boer to de reference R. with plasticity anysotropic in in Studies propagation Feenstra. wave H. Peter transient and One-dimensional Borst René de Liu. solids. Zhangfang elasto–plastic and gass–filled [dBK95] and Ehlers, fluid– Wolfgang of Boer, problem de the Reint On sand. Ehlers. liquefiable W. [dBF90] on and response Boer building de R. of simulation Numerical Bray. [dBEL93] D. Jonathan and Dashti Shideh [dBE86] [DB12] + Kn .Dnesn tpe .Aes ae .ODne,Mr .Aly n hrnB anr Large- Garner. B. Sharon and Adley, D. Mark O’Daniel, L. James Akers, A. Stephen Danielson, T. Kent 08] hardening. ora fGoehia n eevrnetlEngineering Geoenvironmental and Geotechnical of Journal Engineering and Mechanics Applied in Methods Software Mathematical on Transactions Software Mathematical on ttsia methods. statistical theory. macroscopic Engineering and Mechanics Computations 1986. April In 1977. Diego, San at California interfoam. solver flow phase 1986. 53:55–60, applications. Curves soil Damping and concrete nonlinear Engineering highly Civil in for Computing methodologies of Journal computation parallel scale 1998. 931, ora fSld n Structures and Solids of Journal caMechanica Acta Engineering in Methods Numerical for Journal International media. porous incompressible fluid-saturated Engineering 2012. Geoenvironmental 5606.0000853), and Geotechnical of Journal ASCE rceig fteSmoimo h oeo lsiiyi olMechanics Soil in Plasticity of Role the on Symposium the of Proceedings caMechanica Acta ()3732 1991. 8(4):317–332, , o ierAayi ffitoa Materials frictional of Analysis Linear - Non 0:6–8,1995. 109:167–189, , h hss h nvriyo ea tAsi,2001. Austin, at Texas of University The thesis, PhD . caGeotechnica Acta iieEeetAayi fSimcSatrn Problems Scattering Seismic of Analysis Element Finite SEApidMcaisReview Mechanics Applied ASME eeomn faNwFml fNraie ouu euto n Material And Reduction Modulus Normalized of Family New a of Development 02:9–9,2004. 30(2):196–199, , 0()3732 1993. 103(3):347–362, , 0:7–9,1993. 100:171–194, , opttoa cec Discovery & Science Computational 21)13–22 1986. 22(11):1231–1242, , ()2321 etme 2009. September 4(3):223–231, , 02:6–9,2004. 30(2):165–195, , 22:4–4,MrhArl2008. March/April 22(2):140–146, , rhv fApidMechanics Applied of Archive 28–1,1987. 62:89–110, , 94:0–6,1996. 49(4):201–262, , nentoa ora fPlasticity of Journal International 1()1716 aur 1993. January 119(1):147–166, , h hss ef nvriyo Technology, of University Delft thesis, PhD . 93536 1990. 29:315–336, , nprint(doi:10.1061/(ASCE)GT.1943- in , ()041,2012. 5(1):014016, , eso:2.Ags,22,15:04 2021, August, 26. version: optrMtosi Applied in Methods Computer ora fApidMechanics Applied of Journal 31:97,Jnay1993. January 63(1):59–72, , h hss nvriyof University thesis, PhD . ae 4,1973. 24–, pages , 3104 of 2962 page: C Transactions ACM International 14(9):909– , Engineering Computer ASCE ASCE ACM , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et JmsP oet n nrwJ ek.Sm-nltclfrfil oe o he-iesoa finite- three-dimensional for model field far Semi-analytical Deeks. J. Andrew matrices. and sparse Doherty unsymmetric P. for James method unifrontal/multifrontal combined A factor- Duff. LU I.S. sparse and for Davis method T.A. mutlifrontal unsymmetric–pattern An Duff. S. [DD04] Iain and Davis sparse A. unsymmetric Timothy for method unifrontal/multifrontal non- combined [DD99] and A associative Duff. for S. mechanisms Iain failure and translational Davis A. in Timothy load [DD97b] Limit Detournay. E. and Drescher A. [DD97a] [DD93] E eora n .Dfun.Apeoeooia oe o h rligato fda bits. drag of action drilling the for unsymmetric model general phenomenological A for Defourny. P. algorithm and parallel Detournay E. nondeterministic A Yew. Cung Pen and Davis A. Timothy of simulations element Finite Pak. [DD92] S. Y. Ronald and Ko, Hon-Yim Chan, nonlinearities. C. geometric H. for A. Benchtests Dewoolkar, [DCY90] M. Hunt. Mandar W. G. and Crisfield, A. M. Duxbury, G. P. [DCKP99] [DCH89] embedded foundation semi-circular two-dimensional a of response Dynamic Luco. JE and Barros De FCP [DBL95a] WlimDahl,See atlo n ayHennigan. Gary and Castillo, Steven Dearholt, William inter- displacement with elements Finite Gioia. Gustavo Cuitiˆno, and M. Alberto Dvorkin, N. Eduardo [DCH] domain element–based finite discontinuous A André Duarte. and Vicinius Carmo do Dutra Gomes fracture Eduardo hydraulic stationary a of analysis [DCG90] strain Plane Cheng. H.-D. analysis. Alexander limit and for Detournay elements Emmanuel finite of limitations [dCD00] and Possibilities Vermeer. A. P. and Borst of de analysis R. element finite in issues Terzaghi– Fundamental [DC91] The Pamin. consolidation: Pande J. of Mühlhaus, N. and theory H.-B. the G. Sluys, of J. origins In L. The Borst, Gibson. de sand. E. R. [dBV84] R. loose and Schiffman, water–saturated L. for R. Boer, model de A R. Shah. [dBSMP93] K. and Birgisson, B. equations Drescher, differential A. partial [dBSG96] stochastic of Solution Oden. Tinsley J Babuˇska, and and M functions Ivo impedance Deb, foundation K of Manas [DBS95] Identification Luco. Enrique J. and Barros de P. C. Francisco [DBO01] [dBL95b] 10 2004. 1140, analysis. element Software Mathematical on Transactions ACM ization. Rutherford and Florida of University (RAL), 1997. TR-97-046 Laboratory, and Appleton (UofF) TR97-016 Report Technical matrices. materials. associative ora o okMcaisadMnn Sciences Mining and Mechanics Rock for Journal Structures preL factorization. LU sparse Geomechanics in Methods Analytical and backfills. Numerical liquefiable for with Journal walls retaining on effects seisimic University. State Mexico New half-space. viscoelastic layered a in oae meddlclzto ie nestv oms ieaddistortions. and size mesh to Engineering in insensitive Methods lines Numerical localization embedded polated method. decomposition fracture. 1991. Stationary 1662, media: poroelastic in nique deformation. of localization dispute. Fillunger 1995. editors, Rotterdam, Pietruszczak, S. and techniques. 2001. element 190(48):6359–6372, finite galerkin using model. containment Hualien the of tests vibration Engineering from properties soil 42:9–1,1984. 34(2):199–210, , IMJunlo arxAayi n Applications and Analysis Matrix of Journal SIAM 31:12,1989. 33(1):21–29, , 42928 1995. 14:229–248, , nentoa ora o ueia n nltclMtosi Geomechanics in Methods Analytical and Numerical for Journal International Géotechnique Geotechnique optrMtosi ple ehnc n Engineering and Mechanics Applied in Methods Computer IMJunlo arxAayi n Applications and Analysis Matrix of Journal SIAM niern Computations Engineering ueia oesi Geomechanics in Models Numerical http://emlab2.nmsu.edu/mp_solve/index.html 62:7–8,1996. 46(2):175–186, , 05154 1990. 30:541–564, , 33:4–5,1993. 43(3):443–456, , olDnmc n atqaeEngineering Earthquake and Dynamics Soil nentoa ora fSld n Structures and Solids of Journal International optrMtosi ple ehnc n Engineering and Mechanics Applied in Methods Computer 51:–9 1999. 25(1):1–19, , 91:32,1992. 29(1):13–23, , aallSas reua ytmSlesmp Solvers System Irregular Sparse Parallel 09–2,1993. 10:99–121, , umte o ulcto ote International the: to publication for Submitted 81:4–5,1997. 18(1):140–158, , 1999. , oueV ae 0–1.Balkema, 109–112. pages V, volume , eso:2.Ags,22,15:04 2021, August, 26. version: olDnmc n Earthquake and Dynamics Soil 13:8–0,1990. 11(3):383–402, , 41:55,1995. 14(1):45–57, , nentoa ora for Journal International 9:2–4,2000. 190:825–843, , 3104 of 2963 page: optr and Computers 27(13):1645– , International 28:1121– , Geotech- solve . , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et R eBrt optto fps–iucto n otfiuebhvo fsri–otnn solids. strain–softening of behavior post–failure and post–biffurcation of Computation Borst. de R. 87] [de [DDG JmsW eml onR ibr,adXay .L.A snhoosprle uendlalgorithm supernodal parallel asynchronous An Li. S. Xiaoye and dss measured Gilbert, on R. stresses John nonuniform Demmel, of W. Effect James Ladd. C. Charles and Germain, T. John DeGroot, J. Don method element finite lagrangian-eulerian [DGL99] arbitrary An Halleux. Jean-Pierre and of Giuliani, S amplification Donea, soil Jean for [DGL94] model Constitutive media Gazetas. granular George between and behaviour Gerolymos, Nikos interface Drosos, the A of walls. Vasileios analysis quay [DGH82] Elasto-plastic caisson functions! against Frank. pressures virtual R water and no and Gennaro earth De Ma, seismic V into Look Insight Gazetas. [DGG12] G. !!! and Dakoulas BREAK-THROUGH P. MAJOR Guzman. [DGF02] de bridge. concrete reinforced Joel two-span a of simulations numerical of Validation site. Fenves. [DG08] test G.L. nevada and the Dryden from M. tuff of study profile wave Shock of Weir. [dG02] University T. S. report, and Technical Erskine media. D. Nellis geologic J. and W. structural between interfaces 2018. [DF08] of October Behavior online, Desai. 5000.61. CS instruction DoD Defense. of Department [DEW94] USA [Des81] Demidovich. P. B. [Dep18] [Dem69] Dehkordi. Riahi Azadeh [DEH In verification. model for [Deh08] method forcing solution Prescribed Dee. P Dick Kármán, von editors, Dak- Th. Panos [DEG and In interaction. Dryden dam–foundation L. stress effective H. seismic Nonlinear In Eltaher. A. elasticity. and Nonlinear Dakoulas [Dee91] P. Ericksen. L. J. and Doyle C. T. [DE98] [DE56] + + + JmsW eml tne .Esntt onR ibr,Xay .L,adJsp .H i.A Liu. H. W. Joseph and Li, S. Xiaoye Gilbert, R. John Eisenstat, C. Stanley Demmel, W. James 99] Ii iwoi,OeEi .Edeu,Mtha omn,RbcaMri,adIe aknSperstad. Bakken Iver and Martin, Rebecca Hofmann, Matthias Endrerud, V. Ole-Erik Dinwoodie, Iain 15] Jc ogra anDff akGts za adr vnHmaln,Ncoa ihm Jonathon Higham, J Nicholas Hammarling, Sven Haidar, Azzam Gates, Mark Duff, Iain Dongarra, Jack 16] og er aeoLr,Sme etn tnmr oo,e l rpsdaifrbthdbasic batched for Structures api & Computers proposed A al. et Tomov, Stanimire 2016. Relton, subprograms. algebra D linear Samuel Valero-Lara, Pedro Hogg, uendlapoc osas ata pivoting. partial 1999. sparse 755, to approach supernodal Engrg Hydr. of Conf. National 1991 o pregusa elimination. gaussian sparse for behavior. stress–strain interactions. ing fluid-structure dynamic transient for validation. comparisons, calibration, neering Parameter shaking: ground structure. and Géotechnique sourceforge.net/mailarchive/forum.php?thread_id=529112&forum_id=1595 In Research Geophysical of 1981. Missouri–Rolla, ( Yankovsky. 1969. G. Publishers, by Science Russian Breach, from and lated Gordon Physics. and Mathematics farms. wind offshore for models simulation maintenance and operation Engineering of Wind verification for cases Reference 2008. Toronto, of University thesis, PhD 1998. 1998. III August Dynamics ASCE, editors, Soil Holtz, and D. Engineering Earthwuake Robert and Yegian, Mishac oulas, Mechanics Applied in Advances rceig fte1t ol ofrneo atqaeEngineering Earthquake on Conference World 14th the of Proceedings 313:8–2,1982. 33(1-3):689–723, , 22524 2012. 42:255–274, , 82:511 2008. 58(2):95–111, , optr n Geotechnics and Computers 91:–4 2015. 39(1):1–14, , rbesi ahmtclAnalysis Mathematical in Problems SEJunlo etehia Engineering Geothechnical of Journal ASCE 9B)1,2–557 1994. 99(B8):15,529–15,537, , 52:1–2,1987. 25(2):211–224, , DFnt lmn osrtCniumSmlto fLyrdGeomaterials Layered of Simulation Continuum Cosserat Element Finite 3D oueI,pgs5–1.Aaei rs,1956. Press, Academic 53–115. pages IV, volume , IMJ arxAayi n Applications and Analysis Matrix J. SIAM ae 3–3.Ctse,1991. Citeseer, 734–739. pages , 97:4–7,2002. 29(7):547–572, , etcnclSeilPbiainN.7,pgs866–877. pages 75, No. Publication Special Geotechnical , IMJ arxAayi n Applications and Analysis Matrix J. SIAM optrmtosi ple ehnc n engineer- and mechanics applied in methods Computer rceig faSeilyCneec:Geotechnical Conference: Specialty a of Proceedings usa oorpsadTxso Advanced on Texts and Monographs Russian . olDnmc n atqaeEngi- Earthquake and Dynamics Soil 2()8292 1994. 120(5):892–912, , eso:2.Ags,22,15:04 2021, August, 26. version: coe 2008. October , 04:1–5,1999. 20(4):915–952, , B yrui niern,Proc. Engineering, Hydraulic . P . Demidoviq 3104 of 2964 page: ac 2002. March , 20(3):720– , http:// .Trans- ). Journal . Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et [DGL Yni .Dfla n enr .Hrmn.Abudn ufc ol lsiiymdl nG .Pande N. G. In model. plasticity soils surface bounding A Herrmann. R. Leonard and Dafalias F. Yannis [DH80] Yni .Dfla n enr .Hrmn.Budn ufc lsiiy I plcto oisotropic to Application II: plasticity. surface Bounding Herrmann. and Pande R. N. Leonard G. and In Dafalias plasticity. F. soil Yannis of formulation surface Bounding Herrmann. R. L. and Dafalis F. Y. [DH85] [DH82] MDvoi KJfr,adNHdai esi epneo maketdm ne erfutand near-fault under dams embankment of response Seismic Hadiani. N and Jafari, for MK element Davoodi, shell four-node M based mechanics continuum A Jürgen[DK86] Manage- Bathe. Klaus Water and for Dvorkin Institute N. report, Eduardo Technical filtration. of model numerical [DJH13] dam, Prvonek Divac. Dejan [DJB84] Dickenson. Eugene Stephen [Div98] [Dic94] fields. tensor second-order symmetric, [DHR of topology The Hesselink. Lambertus and Delmarcelle Thierry [DHL [DH94] Li eaiiadFbii olil.A nrybsdmtoooyfrteassmn fseismic of assessment the for methodology energy-based An Mollaioli. Fabrizio and Decanini D Luis spectra. energy input theory. earthquake elastic and of Formulation motivation Mollaioli. Fabrizio methods, and Decanini Quasi-newton D Moré. Luis J. Jorge and Jr. [DM01] Dennis, E. ground seismic J. strong Modelling Jean-Fran¸cois Semblat. [DM98] and Lenti, Luca d’Avila, Santisi and ordinary Paola solving Maria to approach [DM77] object–oriented generalized A Laursen. concrete. A. Tod asphalt and in Donescu deformation Pompiliu Permanent Newcomb. [dLS12] E. David and Kim, R. Jong Drescher, Andrew [DL96] [DKN93] Yni .Dfla n ai .Mnai ipepatct admdlacutn o arcchange fabric for accounting model sand plasticity Simple Manzari. T. Majid and Dafalias F. Yannis [DM04] + + + V rss .Gogrks .Ll,I nsaools .Zrors n .Gzts Soil-foundation- Gazetas. G. and Zarzouras, O. Anastasopoulos, I. Loli, M. Georgarakos, T. Drosos, V. 12] Tnxn og za adr it uzzk tnmr oo,AmdAdlath n akDon- Jack and Abdelfattah, Ahmad Tomov, Stanimire Luszczek, Piotr Haidar, Azzam Dong, Tingxing 16] DulsS rgr ogHnHag rhrRdes aaaiTia n ahy odel Kinematic Wooddell. Kathryn and Taira, Taka’aki Rodgers, Arthur Huang, Mong-Han Dreger, S. Douglas 15] tutr neato ihmblzto fbaigcpct:Eprmna td nsand. on study Experimental Engineering Geoenvironmental capacity: and bearing Geotechnical of of mobilization with interaction structure n .C iniwc,editors, Zienkiewicz, C. O. and ae 3–4,Sasa aur 90 .A Balkema. A. A. 1980. January Swansea, 335–345, pages oeiesoils. cohesive 1982. Ltd., Sons editors, Zienkiewicz, C. O. nt-oremdlfrte2 uut21 ot aa aiona atqaefo on neso of inversion joint from earthquake California, Napa, South data. 2014 InSAR August and 24 GPS, the seismic, for model finite-source ei uiaadBailvKolundˇzija. Branislav and Dunica Serif excitation. motion ground far-field analysis. nonlinear general “Jaroslav ment 1989 17, October of earthquake on applications and factorizations matrix 2016. Knowville, small Tennessee, for of approach University Laboratory, blas Computing batched Innovative report, A Technical batched: gpus. Magma garra. Press. Society Computer IEEE CA: Alamitos, In niern tutrldynamics structural & engineering Nonlinear 1986. 5, Uzun–Mirkova Beograd, ”Nauˇcna knjiga”, Serbian. IRO In i Structures, 73 of revolucije Analysis Bulevar Beogradu, u demand. 1977. 19:46–89, polarization. wavefield 2012. versus 190:1607–1624, path loading three-dimensional motion: elements. finite using 1996. equations differential partial Engineering and Materials of Journal ASCE effects. ˇ rceig iulzto ’94, Visualization Proceedings SEJunlo niern Mechanics Engineering of Journal ASCE olDnmc n atqaeEngineering Earthquake and Dynamics Soil SEJunlo niern Mechanics Engineering or Journal ASCE en,Blrd,Ygsai,19.I Serbian. In 1998. Yugoslavia, Belgrade, Cerni, ˇ olMcais–TasetadCci Loads Cyclic and Transient – Mechanics Soil niern Computations Engineering yai epneo otadde oeiesisdrn h oaPrieta Loma the during soils cohesive deep and soft of response Dynamic h hss nvriyo aiona ekly 1994. Berkeley, California, of University thesis, PhD . nentna ypsu nSisudrCci n rnin Loadings Transient and Cyclic under Soils on Symposium Internatinoal esooia eerhLetters Research Seismological ae 4–4,Wsigo,D,UA 72 c.19 94 Los 1994. 1994 Oct. 17-21 USA, DC, Washington, 140–147, pages , 71)10–52 1998. 27(12):1503–1522, , niern Geology Engineering eian nlz Konstrukcija Analiza Nelinarna ()1218 eray1993. February 5(1):112–128, , 3()6264 ue2004. June 130(6):622–634, , 3(1:3918,Nvme 2012. November 138(11):1369–1386, , iieEeet nAayi n Design and Analysis in Elements Finite 12:1–3,2001. 21(2):113–137, , :78,Mrh1984. March 1:77–88, , 1(2:2319,1985. 112(12):1263–1291, , 5:67,2013. 158:66–76, , 62)3734 ac/pi 2015. March/April 86(2A):327–334, , rdeisifkle Univerziteta fakultet Gradjevinski . epyia ora International Journal Geophysical ae 5–8.Jh ie and Wiley John 253–282. pages , eso:2.Ags,22,15:04 2021, August, 26. version: 3104 of 2965 page: IMReview SIAM SEJournal ASCE 22:93–107, , Earthquake , , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et Foetd Martin. de Florent [dM10] Sre mtiv agaeoine rgamn:Tenx rgamn aaim ulse online published paradigm. programming next The programming: oriented Language Dmitriev. Sergey Fernando and [Dmi04] Santos, Dos Alberto Jaime Modaressi-Farahmand-Razavi, basis Arezou radial DAguiar, with Costa Fernando equation Sofia and Fokker-Planck [DMFRDSLC11b] Santos, of dos solution numerical Alberto The Jaime Modaressi-Farahmand-Razavi, Mohammadi. Arezou V. D’Aguiar, and In Costa Dehghan Sofia M. rock. [DMFRdSLC11a] non-reservoir and reservoir in attenuation P-wave Mavko. G. [DM14] and Dvorkin J. [DM05] Yni .Dfla,MjdT azr,adAhlesG aaiiro.SNCA:sml anisotropic simple SANICLAY: Papadimitriou. G. Achilleas and Manzari, T. Majid Dafalias, F. Yannis [DMP06] C ea n KNgrj oeigfrcci omladserbhvo finterfaces. of behavior shear and normal cyclic for Modeling Nagaraj. BK and Desai CS [DN88] DvdDra n ao aaatso.Eatpatcrpneo rsuesniiesolids. sensitive pressure of reponse Elastoplastic Papanastasiou. Panos and Durban David application. and stability elementsnumerical interface thickness Zero Potts. DM and Day RA [DP97] Dubois-Pelerin. Yves-Dominique [DP94] Dubois-Pelerin. flow. Yves-Dominique fluid selected of of calculations performance volume the finite on [DP92b] in nodes law hierachical conservation loading. Demirdˇzić Perić. of Space I M complex influnece and the for of materials study A hardening Peshkam. nonlinearly [DP92a] V. of and Delpak model R. A Popov. EP [DP88] and design. Dafalias limit or YF analysis plastic and mechanics in Soil Prager. set William [DP86] and permanent Drucker Charles with Daniel effect mullins the for [DP75] model constitutive Dowd. A Kevin Ogden. R.W. [DP52] and Dorfmann A. [Dow93] Technical tires. shredded large of and Deformability small [DO04] at Heimdahl. media Thor of and behavior Newcomb, stress–strain David of Drescher, modelling Andrew Discrete Ng. T–T [DNP and Dobry Ricardo [DNH99] [DN92] + Br .Dbscee ai .Njm hlpeP ea,Oa .Ki,RgrG hnm n lvrP. Oliver and Ghanem, G. Roger Knio, M. Omar Pebay, P. Philippe Najim, N. Habib Debusschere, J. Bert 04] hss cl etaePrs 2010. Paris, Centrale Ecole thesis, Exhibition & Conference http://www.onboard.jetbrains.com/is1/articles/04/10/lop/ and monotonic under interfaces soil–structure of modelling loading. cyclic constitutive Elastoplastic Lopez-Caballero. and monotonic under interfaces soil-structure of modelling loading. constitutive cyclic Elastoplastic Lopez-Caballero. method. Galerkin and approach Kansa’s of Elements technique Boundary meshless with the Analysis on based (rbfs) functions lypatct model. plasticity clay 01)13–27 2006. 30(12):1231–1257, niern mechanics engineering ora o ueia n nltclMtosi Geomechanics in Methods Analytical and Numerical for Journal geomechanics in methods analytical and numerical for Journal mentation mentation fluids in methods numerical for journal mechanica aaercelements. parametric mathematics 1993. applied June of edition, first 95472, CA Sebastopol, A, Suite Street, Morris processes. stochastic for rubber. particle-reinforced representations chaos polynomial of Computing use Scientific the on in Journal challenges SIAM Numerical Maitre. 1999. Minnesota, of University 1999-13, - MN/RC Report strain. niern Computations Engineering h hss cl oyehiu eeaed asne 1992. Lausanne, de Federale Polytechnique Ecole thesis, PhD . 1992. Lausanne, de Federale Polytechnique Ecole thesis, PhD . 13:7–9,1975. 21(3):173–192, , ihPromneComputing Performance High optr n Geotechnics and Computers Geotechnics and Computers nuneo h olna eairo otSiso togGon Motions Ground Strong on Soils Soft of Behavior Nonlinear the of Influence nentoa ora o ueia ehd nEngineering in Methods Numerical for Journal International 1()19–27 1988. 114(7):1198–1217, , 02:5–6,1952. 10(2):157–165, , nentoa ora o ueia n nltclMtosi Geomechanics in Methods Analytical and Numerical for Journal International P,EG,Jn 2005. June EAGE, SPE, . nentoa ora fSld n Structures and Solids of Journal International 70:8–6,2014. 63, – 47(0):38 , :2–4,1992. 9:129–143, , betOine iieEeet:PormigCnet n Imple- and Concepts Programming Elements: Finite Oriented Object Imple- and Concepts Programming Elements: Finite Oriented Object ()13–00 1988. 8(9):1037–1050, , 62:9–1,2004. 26(2):698–719, , 84:3–4,2011. 38(4):430–447, , 2011. 38:430–447, , uselHnbo.ORil soits n,103 Inc, Associates, & O’Reilly Handbook. Nutshell A . 81)6978 1994. 18(10):689–708, , 14341 1997. 21:423–441, , oebr2004. November , eso:2.Ags,22,15:04 2021, August, 26. version: 115–88 2004. 41:1855–1878, , 21311 1986. 22:153–171, , 3104 of 2966 page: International International International 7hEAGE 67th Engineering ora of Journal Quarterly PhD . Acta , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et Ye uosPeeenadToa imran betoine nt lmn rgaig i.an Iii. programing: element finite Object–oriented Zimmermann. Thomas Dubois-Pèlerein and Yves [DPZ93a] analysis. su- element on finite nonlinear based in programming criterion Object-oriented yield Pegon. Pierre Dubois-Pélerin anisotropic and Yves Universal Owen. J. R. D. Perić, and Djordje Dutko, at Martin [DPP98] concrete in transport moisture and Bićanić. heat Nenad Coupled and Pearce, J. Chris Davie, T. Colin [DPO93] [DPB06] Ye uosPeeenadToa imran betoine nt lmn rgaig i.an Iii. programing: element finite Object–oriented Zimmermann. Thomas Dubois-Pèlerein and Yves [DPZ93b] sand dense dry of analyses Zimmermann. numerical Thomas Dubois-Pélerin sem and Yves Nonlinear Zambelli. C. and Stupazzini, finite M. for formulation Prisco, element di finite [DPZ92] C. A Repetto. A. theoretically Eduardo A and Pantuso, slopes: Daniel infinite Dvorkin, along N. propagation Eduardo [dPSZ07] wave Shear Pisan. F. and Pastor, M. Prisco, di [DPR94] C. [dPPP12] J.DdsadH oet ueia ehiusfrpatct opttosi nt lmn analysis. element finite in computations plasticity for techniques Numerical Robert. H. and Dodds Jr. [DR87] A ¨se n .Rn.A Rank. behavior. material E. anysotropic Düster and on A. spin plastic of effect The Rashid. M. M. and Dafalias F. Y. [DR02] [DR89] Wl ete n tfneRee ntetertcladnmrclmdligo Armstrong-Frederick of modelling numerical and theoretical the On Reese. Stefanie and Dettmer Wulf [DR04] Dne hre rce.Adfiiino tbeieatcmtra.Tcnclrpr,DI Document, DTIC report, Technical material. inelastic stable of definition A Drucker. plasticity. Charles of Daniel theory the in uniqueness UNIV On BROWN report, Drucker. Technical Charles loads. Daniel limit and plasticity, friction, Coulomb [Dru57] Drucker. and Charles Theory Daniel loop: double the Cutting [Dru56] Iaccarino. Gianluca and Fenrich, W. Richard Rosario, del dynamics. considerations. Zachary energy [Dru53] engineering from failure in shear methods adiabatic Modeling Newmark Dorogoy. A stochastic and of Rittel, D family Dolinski, a M of Explorations Roy. [dRFI19] D. Dash M.K. [DRD10] [DR05] ffiin mlmnaini c++. in implementation efficient 1992. Switzerland, 15, Lausanne Structures & Computers engineering and analysis. mechanics accuray and applied issues in algorithmic Part1. representation: functional perquadratic water. adsorbed and pressure capillary Applications of A: effects - temperatures elevated 8,1993. 183, FEM for Implementation C++ and ffiin mlmnaini c++. in implementation efficient loading. Geomechanics dynamic in and rapid under specimens components. tensorial of Engineering interpolation and mixed Mechanics on based Applied analysis in plastic – elasto strain 2012. 36(5):619–642, study. numerical based 8,1993. 183, optr Structures & Computers ora fPlasticity of Journal of Engineering ieai adnn ntefiiesri regime. strain finite the in hardening kinematic 9(-)8–1,2004. 193(1-2):87–116, 1957. 1956. 35–42, pages 1953. MATHEMATICS, APPLIED OF DIV RI PROVIDENCE Engineering uncertainty. in parametric with Methods optimization Numerical design reliability-based for algorithms Solids of Physics and Mechanics the of Engrg Mech. Appl. Methods Comput. j 2 o hoyo o–ieriorpchardening. isotropic non–linear of theory flow 34–3 2002. 53:49–63, , 98:3–6,2006. 49(8):733–763, , 16:5–8,2007. 31(6):757–788, , :2–4,1989. 5:227–246, , 74:2–4,1998. 67(4):225–241, , 65:6–7,1987. 26(5):767–779, , nentoa ora o ueia n nltclMtosi Geomechanics in Methods Analytical and Numerical for Journal International p vrinfiieeeetapoc o w–adtre iesoa problems dimensional three– and two– for approach element finite -version optrMtosi ple ehnc n Engineering and Mechanics Applied in Methods Computer optrMtosi ple ehnc n Engineering and Mechanics Applied in Methods Computer 1(2:1–4,2019. 118(12):718–740, , 0:39,1993. 109:73–93, , bet + 01 C++ Objects 9(54)45–76 oebr2005. November 194(45-47):4758–4796, , 1:55,1994. 114:35–54, , 81)15–75 2010. 58(11):1759–1775, , nentoa ora o ueia n nltclMethods Analytical and Numerical for Journal International optrMtosi ple ehnc n Engineering and Mechanics Applied in Methods Computer betOine iieEeetPormig Theory Programming: Element Finite Oriented Object lers nentoa,POBx2C 1015 CH 2 P.O.Box International, Elmepress . nentoa ora o ueia ehd in Methods Numerical for Journal International urel fApidMathematics Applied of Quarterly eso:2.Ags,22,15:04 2021, August, 26. version: ueia etTase,Part Transfer, Heat Numerical nentoa ora for Journal International 3104 of 2967 page: optrMethods Computer optrmethods Computer International 108:165– , 108:165– , Journal , , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et EuroAd oz eo jrj eic n ai oe oe Owen. Jones Roger David Perić, and Djordje Neto, Souza de A Eduardo Linearization description: spatial in elasticity Finite Owen. J. R. Perić, D. Djordje and [dSNPO11] Neto, rate– Souza de three–dimensional A. phenomenological E. finite A at damage Owen. J. elastoplastic R. for D. model Perić, and A Djordje Neto, [dSNPO95] Owen. Souza an J. de of R. A. E. D. implementation Perić, and strain Djordje Finite Neto, Souza Owen. de J. A. [dSNPO94b] R. E. D. and Dutko, models Perić, M. coupled D. fully Neto, of [dSNPO94a] class Souza a de for framework A. computational E. Perić. A Djordje and Neto 2011 Souza the de in A. [dSNPDO95] motion E. ground Strong Lenti. Luca and Jean-Fran¸cois Semblat, d’Avila, Santisi Paola Maria [dSNP96] analysis: dynamic Incremental André Beck. and T. Kougioumtzoglou, A. planar Ioannis ductile Santos, for dos criterion M. collapse R. [dSL13] seismic Ketson Energy-based Hajjar. F Jerome and Song, Junho modelling Deniz, Derya constitutive for approach hierarchical A [dSKB16] Frantziskonis. G. and Somasundaram, S. Desai, S. Steiner. C. W [DSH17] and Dysli M Siriwardane. J. Hema and Desai S. Chandakant [DSF86] [DS11] [DS84] PtikDnl,Ja-rnci eba,HiogXa,adNclsDleie ipeadefficient and simple A Delépine. Nicolas and local- Xiao, in Haihong role Jean-Fran¸cois Semblat, its and Dangla, elastoplasticity Patrick Micropolar Willam. Kaspar and Steinmann, Paul Dietsche, Andreas [DSXD05] [DSW93] [DST Schnabel. B. partial Robert in and Submitted Jr. bridge. Dennis, concrete E. reinforced Bianchini, J. two–span G. a and of Saada simulations A. of In Validation sand. Dryden. of M. behaviour the of Bianchi, modeling G. [DS83] the and on Sawczuk Comments A. Drucker. In C. D. plasticity. finite [Dry06] for idealizations simple Appropriate Drucker. C. D. [Dru88] [Dru85] + Y aais cik skai,KHte,adHBae.Asml oe o eciigyedsurface yield describing for model simple A Baaser. H and Hutter, K Tsakmakis, C Schick, D Dafalias, YF 02] set ih3Dmmrn applications. 1995. membrane 38:3365–3381, 3-D as- with computational aspects and Formualation polymers: filled highly for model pects. damage continuum independent applications. and issues Algorithmic strains: editor, CIMNE. Wiberg, 1995. N.-E. Barcelona, In 174–188, foam. pages crushable for model elastoplastic aspects. linearization the to Engineering reference and with Mechanics strains Applied finite in at damage elastoplastic for modeling. America three-component of one-directional A earthquake: Tohoku 2016. perspective. October dynamics stochastic nonlinear A frames. structural 1986. 10:225–257, materials. geological of Materials Geologic on phasis Equations Nonlinear vlto.In evolution. applications and theory plasticity: 1988. euaiainmto o Dbm plcto ofeunydmi elastodynamics. frequency-domain to application America bem: of Society 3D Seismological for method regularization ization. 2006. Berkeley, at California of University the at degree Ph.D. a for requirements of satisfaction editors, 1985. Publishers, editors, ora fMcaisadPyiso Solids of Physics and Mechanics of Journal lsiiyTdy oeln,MtosadApplications and Methods Modelling, Today: Plasticity osiuieEutosfrGaua o–oeieSoils Non–Cohesive Granular for Equations Constitutive nentoa ora fPlasticity of Journal International 0(B:3411,My2013. May 103(2B):1394–1410, , etr oe napidadcmuainlmechanics computational and applied in notes Lecture niern Structures Engineering rnieHl newo lff,NwJre 73. 1983. 07632., Jersey New Cliffs, Engelwood , Hall Prentice . onainEngineering Foundation nentoa ora o ueia n nltclMtosi Geomechanics in Methods Analytical and Numerical for Journal International rnieHl,Ic nlwo lff,N 73,1984. 07632, NJ Cliffs, Englewood Inc. Prentice–Hall, . 55:9612,2005. 95(5):1916–1927, , onWly&Sn,2011. Sons, & Wiley John . 3:7–9,1996. 130:179–193, , 4:–3 2017. 141:1–13, , ()8381 1993. 9(7):813–831, , nentoa ora o ueia ehd nEngineering in Methods Numerical for Journal International niern Computations Engineering SEJunlo niern Mechanics Engineering of Journal ASCE ueia ehd o nosrie piiainand Optimization Unconstrained for Methods Numerical crwHl okCmay 2011. Company, Book Hill McGraw . osiuieLw o niern aeil ihEm- With Materials Engineering for Laws Constitutive 21)13–50 1994. 42(10):1533–1550, , ae 75.Esve ple Sciences Applied Elsevier 47–59. pages , dacsi iieEeetTechnology Element Finite in Advances ae 9–9.A .Blea July Balkema, A. A. 695–697. pages , ultno h esooia Society Seismological the of Bulletin ae 6–0.Srne,2002. Springer, 169–201. pages , 12721 1994. 11:257–281, , eso:2.Ags,22,15:04 2021, August, 26. version: opttoa ehd for methods Computational 3104 of 2968 page: optrMethods Computer 142(10):X1–X7, , ultno the of Bulletin , , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et SegDi rn ute n .Cro atmrn.Cd aeaayi omntrpoessi soils. in processes monitor to analysis wave Coda Santamarina. Carlos J. and Wuttke, soils. Frank in Dai, processes Sheng monitor to analysis [DYY soil- wave of Coda modeling Santamarina. Carlos and J. observation and Microscale Wuttke, Frank Randolph. Dai, F Sheng [DWS13] Mark and confinement White, and J properties, David material Dejong, state, T initial Jason of Role [DWS12] Westgate. J. Zachary and DeJong In T. Jason continua. [DWR06] Cosserat elasto-plastic of analysis Localization Willam. J. Kaspar and [DW09] Dietsche Andreas ba- reduced A Homme. Prud Christophe and Trophime, soils. Christophe testing for Veys, [DW92] apparatus Stephane biaxial A Daversin, Han. Cecile Chunhya and Vardoulakis, Ioannis re- experimental Drescher, the Andrew of overview an sand: [DVTPH13] in localization Strain Viggiani. Gioacchino and Desrues Jacques [DVH90] [DV04] J ihe ucn atr fsft n eiblt ngoehia engineering. geotechnical in reliability and safety of Factors slopes. of analysis Duncan. finite-element Michael and J. equilibrium Limit art: the of State Duncan. Michael James [Dun00] [Dun96] [Dun95] Ia ia n akJ asd.Afaeokfrmdligrgdfoigbhvorbsdo energy on based behaviour footing rigid modelling for framework A Cassidy. of J. behavior Mark mechancial and the Einav and laws Itai force-displacement Contact Berryman. G. James and Elata consti- David plastic – elasto strain large based – [EC05] hyperelastic A Klaus-Jürgen Bathe. and Eterovic Luis Adrian [EB96] ap- of Information-theoretic University Bitmead. 201911, R. Report Robert Technical and (LLSB). Conte, P. box Joel soil Astroza, laminar Large-scale Rodrigo problem Ebrahimian, [EB90] wave al. Hamed near-field et for McCallen FEA B. in David boundary artificial stress A Wang. joints. Jinting [EACB19] and and interfaces Zhao, for Mi element Thin-layer Du, Xiuli Siriwardane. HJ and [ea19] Lightner, JG Zaman, MM Desai, CS [DZW06] [DZLS84] + AmtAı idr e a¸ı,EcnYüksel, Hasan Yal¸cın, Ercan Cem Dindar, Anıl Ahmet 15] SEJunlo etcncladGoniomna Engineering Geoenvironmental and Geotechnical of Journal ASCE Engineering Geoenvironmental 2012. and doi:10.1061/(ASCE)GT.1943-5606.0000872), Geotechnical of Journal ASCE velocimetry. image particle using behavior interface structure American The 1992. behavior. November interface soil-structure Engineering 10017, global vironmental and N.Y. local York, on New condition street 47th East 345 Engineers. The Mechanical editors, of 123, Valanis, Society – C. 109 K. pages and Wu W. In J. problems. multi-physics 2013. non-linear Sciences, EDP scale 225–254. large pages to 43, volume Application framework: sis Journal Testing nical Geomechanics in stereophotogrametry. using Methods Grenoble in obtained sults etcncladGoniomna Engineering, Geoenvironmental and Geotechnical Engineering Geoenvironmental and Geotechnical of Journal ferhuk nrydmn spectra. demand energy earthquake of 107 Theory, Beam Theory, General Bodies, Deformable of Serbian). Mechanics in the Problems, to Solved Introduction Materials, of reˇsenih zadataka 107 Dunica. Serif principles. spheres. identical of packs random strain and stress logarithmic the using hardening kinematic – isotropic measures. combined with formulation tutive models. finite-element structural nonlinear of Mechanics assessment identifiability for proach 2019. Reno, Nevada, chinese). (in Geomechanics in Methods Analytical and Numerical for Journal International ˇ 4()0093,2019. 145(7):04019039, , nentoa ora o ueia ehd nEngineering in Methods Numerical for Journal International optr n Geotechnics and Computers hns ora fTertcladApidMechanics Applied and Theoretical of Journal Chinese tons aeiaa vdumhnk eomblo ea psatoia erj greda, teorija opˇsta teorija, tela, deformabilnog mehaniku u uvod materijala, Otpornost 33:2–3,Spebr1990. September 13(3):226–234, , rdeisaKjg rsniaDOO,19.IB 64502-,(Strength 86-485-0020-6, ISBN 1995. D.O.O., Grosknjiga i Knjiga Gradjevinska . 3(1:6616,Nvme 2009. November 135(11):1646–1660, , 82931 2004. 28:279–321, , ehnc fMaterials of Mechanics aaeMcaisadLocalization and Mechanics Damage 27:9–0,Otbr2005. October 32(7):491–504, , atqaeSpectra Earthquake 2()3736 pi 2000. April 126(4):307–316, , nentoa ora o ueia n Analytical and Numerical for Journal International zank n rlBüyüköztürk. Oral and Ozkaynak, Development ¨ 43:2–4,Nvme 1996. November 24(3):229–240, , 13:6718,2015. 31(3):1667–1689, , 2()5756 uy1996. July 122(7):577–596, , ol n Foundations and Soils SEJunlo etcncladGeoen- and Geotechnical of Journal ASCE 3()10–51,Spebr2013. September 139(9):1504–1511., , ulhe nieNvme 8 2012. 28, online(November publihsed , 81:9 2006. 38(1):49, , 019–14 1990. 30:1099–1114, , eso:2.Ags,22,15:04 2021, August, 26. version: oueAD12 MD-34, AMD-142, volume , ()1–3 1984. 8(1):19–43, , ora fEngineering of Journal SI:Proceedings ESAIM: 3104 of 2969 page: 61:52,2006. 46(1):15–28, , SEJunlof Journal ASCE Geotech- ASCE , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et [ECJ Ia ia.Teuicto fhp-lsi n lsopatctheories. elasto-plastic and hypo-plastic of I. – unification media The reacting Einav. chemically of Itai theory continuum A Ingram. D. John and Eringen [EKC Cemal A. Schmalensee. software Richard of and role Hagiu, [Ein12] economic Andrei the Evans, of S. survey David A Schmalensee. Richard [EI65] and Hagiu, Andrei and Evans, energy good S. from a derived David models finding plasticity [EHS06] and for damage algorithm Coupled Nguyen. genetic G.D. on and Houlsby, based G.T. Einav, approach I. new A [EHS05] Hosseini. M.M. overview. and An Esmaeilbeigi records: M motion ground earthquake [EHN07] Vertical He. Liangcai and connections. Elgamal flange-web Ahmed welded of with performance Cyclic-loading structures Husain. frame S. A. three-dimensional [EH14] and Engelhardt of D. performance M. Seismic Naggar. El interfaces. [EH04] MH steel and sand Ganainy of El behaviour the H on [EH93] paths stress of Effect Fakharian. Kazem and [EGEN09] Evgin Erman algorithms iterative [EFK Efficient Stewart. Michael and O’Leary, P. Dianne Ernst, G. Oliver Elman, [EF97] C. Howard ground seismic on effects site Local Irfan. Muhammad and building. Abdalla, handling Jamal Khan, fuel Zahid [EEOS05] in El-Emam, Hansbo. Magdi interaction Peter and Soil-structure Johnson, Claes Eissa. Estep, Don A. Eriksson, Mohsen Kenneth and Elaidi [EEKAI15] M. Bahaa Eckel. Bruce [EEJH96] [EE98] [Eck89] I tin .Kiemn n .Kdn nodn fa lsi–lsi oddshrclcontact. spherical loaded elastic–plastic an of Unloading Kadin. Y. and Kligerman, Y. Etsion, I. [EKK05] Hwr .EmnadDni .Y e.Ueo ieragbakrest ul n ffiin nt element finite efficient and build to kernels algebra linear of Use Lee. K.–Y. Dennis and Elman C. Howard with models plasticity surface bounding of implementation On Taiebat. A. Hossein and E-Kan Mojtaba [EL95] [EKT14] + + + E lHbr .Cro,D ogas .LpzCbleo .YusfAdlash n .Al-Bittar. T. and Abdelmassih, Youssef D. Lopez-Caballero, F. Jongmans, D. Cornou, C. Haber, El E. 21] D net .Fse,C esla,S uce .Vle,adV ec.Antoa-cl authentication national-scale A Welch. V. and Volmer, J. Tuecke, S. Kesselman, C. Foster, I. Engert, D. 00] Bnai dad,Og-onKeio,FbieCto,Nra baasn hi a ote and Houtte, Van Chris Abrahamson, Norman Cotton, Fabrice Ktenidou, Olga-Joan Edwards, Benjamin 15] ora fEgneigScience Engineering of Journal Engineering Earthquake Engineering Structural of Journal ground surface synthetic of coherency lagged the on velocity wave shear of motions. variability spatial of Impact Structures Industries Transform and Innovation Drive 2005. industries. computer–based in platforms potentials. dissipation method. kansa’s by equations differential partial solving Computation in parameter shape stories. underground infrastructure. journal geotechnical Canadian scattering. acoustic to application with Engineering method and element Mechanics finite Applied stochastic the for UAE. in 2015. cities major of response 1996. Press, University Cambridge Design and Engineering oa ¨h psei netit n iiain fthe of limitations and uncertainty Fäh.Epistemic Donat inlJunlo oisadStructures and Solids of Journal tional sites. rock solver. problems. value boundary solving 2014. in 116, effect overshooting no aallComputing Parallel olDnmc n atqaeEngineering Earthquake and Dynamics Soil 91-2:3511,Jn 2012. June 49(11-12):1305–1315, , epyia ora International Journal Geophysical 4()4948 2014. 249(0):419–428, , sn C++ Using EEComputer IEEE olDnmc n atqaeEngineering Earthquake and Dynamics Soil nentoa ora fSld n Structures and Solids of Journal International 8(-)15–16 1998. 156, – 181(1-3):145 , ()6367 2004. 8(5):663–697, , son crw–Hl,1989. Hill, – McGraw Osborne . 11113 1995. 21:161–173, , 36:5–6,1997. 33(6):853–865, , :9–1,1965. 3:197–212, , 31)6–6 2000. 33(12):60–66, , 1(2:5735,Dcme 1993. December 119(12):3537–3550, , aua Hazard Natural 9(-1:0715,1 ac 2005. March 18 194(9-11):1037–1055, , 21)31–79 2005. 42(13):3716–3729, , EioEooi tde,Vl 1 o -,2005 2-3, No. 51, Vol. Studies, Economic CESifo h I rs,20.IB-3 978-0262550680. ISBN-13: 2006. Press, MIT The . 0()12–65 2015. 202(3):1627–1645, , IS 9100,DI10.1007/s11069-015-1873-9), DOI 0921-030X, (ISSN , 4:069 2021. 145:106689, , κ oe o ersraeatnaina hard at attenuation near-surface for model 0 niil nie:HwSfwr Platforms Software How Engines: Invisible optr n Geotechnics and Computers 99:2916,2009. 29(9):1249–1261, , opttoa ieeta Equations Differential Computational 478:4720,Arl2007. April 44(7-8):2487–2508, , nentoa ora fSld and Solids of Journal International eso:2.Ags,22,15:04 2021, August, 26. version: ple ahmtc and Mathematics Applied optrMtosin Methods Computer 3104 of 2970 page: 50:0 – 55(0):103 , ae 1–37, pages , International ora of Journal Interna- Nuclear ASCE . Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et EA li n ..Srnmn oeln fsi-tutr neato o ie rdeaumn in abutment bridge piled a for interaction soil-structure of Modelling Springman. S.M. and Ellis E.A. Stroustrup. Bjarne and Ellis A. Margaret in [ES01] searches Eringen. Cemal point A critical and corrections Newton–Raphson for constraints [ES90] linear On problems. e. Eriksson. f. Anders structural non–linear for 1965. [Eri12] measures Document, path–related DTIC some report, On Technical Eriksson. fluids. Anders micropolar of Theory elasto- finite–strain Eringen. of Cemal problems A of [Eri89] solution and formulation variational The Reddy. D. B. and [Eri88] Eve A. liquefaction R. and behavior [Eri65] Stress-strain Manzari. T. Majid and Park, inerters Hanna and ElGhoraiby, walls A. rocking Mohamed of [ER94] use Combined Fabrizio. Cristiano of and Pagliaro, Assessment Stefano Egidio, Tuminaro. Di S Angelo Raymond [EPM20] and Phipps, T Eric Miller, deforma- W lateral Christopher liquefaction-induced Elman, of [EPF21] C Mitigation Howard Forcellini. Davide and Lu, Jinchi Elgamal, Ahmed [EMPT11] [ELF09] J .Ehly h eemnto fteeatcfil fa lisia nlso,adrltdproblems. related and inclusion, ellipsoidal an of field elastic the of determination The Eshelby. D. J. [ESI [Esh57] GilroEtse. Guillermo [Ets92] AmdEgml hou ag n ne ar.Cmuainlmdln fcci oiiyadpost– and mobility cyclic of modeling Computational Parra. Ender and Yang, Zhaohui Elgamal, Ahmed growth. performance computer at Eyheramendy. look Dominique in-depth An inelastic for Nilsson. formulation Jim [EYP02] constitutive and Warg, based Fredrik – Ekman, energy Magnus fracture A [Eyh97] Willam. Kaspar and Etse experiments. simulation Guillermo for language domain-specific [EWN05] A Sessl: Uhrmacher. M. Adelinde compliant and loaded Ewald tangentially Roland in slip interfacial of concept Cattaneo–Mindlin the [EW93] Revisiting Etsion. Izhak [EU14] [Ets10] + MsysiEah,Ssm uiaa yih kd,Yei ag n auoMysia Vacuum– Miyashita. Haruzo and Wang, Yuelin Ikeda, Kyoichi Sugiyama, Susumu Esashi, Masayoshi 98] ora o ueia ehd nEngineering in Methods Numerical for Journal ln tanfmanalyses. fem 1990. strain Company, plane Publishing Wesley - Addison and Jersey New Hill, Murray tories, 2012. Media, problems. 1989. e. f. structural function. dissipation of use the Engineering on based plasticity sand. F65 Ottawa 2020. of characteristics strength structuresl. frame of response 2021. seismic improvethe to data. random with equations Quantification diffusion Uncertainty linear to for approaches Galerkin and collocation simulation. numerical Three-dimensional stratum: Engineering sloping Geoenvironmental a in tion rceig fteRylSceyLondon Society Royal the of Proceedings eldslcnmcoahndpesr esr.I esl .Ws,editor, Wise, (MEMS) Microsystems D. & Kensall Microactuators In Sensors, 1998. Integrated sensors. Issue: pressure Special micromachined silicon sealed h hss nvrtt fKrsue 92 nGerman. in 1992. Karlsruhe, of Universtity thesis, PhD iufcinst response. site liquefaction Programming Automatic News of Architecture Department Computer Colorado, SIGARCH ACM of Universtity 1993. CU/SR-93/13, December Report Engineering, Technical Architectural & Environmental concrete. Civil, plain of behavior Simul. Comput. Model. Trans. ACM bodies. ora fTribology of Journal 717–65 1994. 37:1673–1695, , hoeiceu ueiceUtruhn u iue n oaiir esgni Beton in Versagen lokalisiert und diffusen zum Untersuchung numerische un Theoretische ircniumfil hois .Fudtosadsolids and Foundations I. theories: field Microcontinuum h hss cl oyehiusFédéral1997. Polytechniques Lausanne, Ecole de thesis, PhD . optr n Geotechnics and Computers olDnmc n atqaeEngineering Earthquake and Dynamics Soil nentoa ora o ueia ehd nEngineering in Methods Numerical for Journal International betOine iieEeetPormig yblcDrvtosand Derivations symbolic Programming: Element Finite Object–Oriented 3()000,2010. 132(2):020801, , () 2011. 1(1), , 3(1:6218,Nvme 2009. November 135(11):1672–1682, , 42:111:5 e 2014. feb 24(2):11:1–11:25, , :7–9,1957. A:376–296, , h noae + eeec Manual Reference C++ Annotated The 31:4–4,Mrh20.ISSN:0163-5964. 2005. March 33(1):144–147, , 619–83 1988. 26:1791–1803, , olDnmc n atqaeEngineering Earthquake and Dynamics Soil SEJunlo niern Mechanics Engineering of Journal ASCE 87–8 2001. 28:79–98, , nentoa ora o ueia ehd in Methods Numerical for Journal International SEJunlo etcncland Geotechnical of Journal ASCE 22921 2002. 22:259–271, , eso:2.Ags,22,15:04 2021, August, 26. version: pigrSine&Business & Science Springer . ae 6713,August 1627–1639, pages , rceig rteIEEE, the or Proceedings TTBl Labora- Bell AT&T . 3104 of 2971 page: nentoa Journal International 28:1317–1334, , 138:106292, , International 147(5), , . Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et R orh .Bso,GCiltu,adP ivn oyopi osiuieeutosi nt element finite in equations constitutive Polymorphic Pilvin. P. and and Cailletaud, cavitation, G adsorption, Besson, on based J. curves Foerch, characteristic soil-water R. elements:i.theory. Theoretical finite Baker. R corotational and small-strain Frydman of S formulation unified 1999 A material. B.Haugen. Course [FBCP97] and seminar: instructions. Felippa teaching C.A. student–centered college effective to ExCEEd road free Brent. bumpy energy-orthogonal Rebecca the [FB09] an and Navigating Felder of Richard based Brent. element R. bending and triangular Felder [FB05] A M. R. Bergan. G. P. and Felippa [FB99] A. history. C. Early design: Capacity [FB96] Fardis. N. R.V. Michael In problems? which and architecture [FB87] which for algorithm element finite parallel Which decomposer. Farhat. domain [Far18] C. FEM automatic efficient and simple A Farhat. Charbel [Far89] Fakharian. WorkBench. Kazem Immersive Inc. Fakespace, In future. [Far88] and present past, buildings: for provisions seismic in Analysis Fajfar. Peter imple- [Fak96] review. III. and history – brief a freedoms rock: drilling in [Fak] corner estimation Stress with Fairhurst. triangles C. Membrane Alexander. Scott and and [Faj18] Felippa derivations A. symbolic Carlos iv. elements. finite Object-oriented [Fai03] Zimmermann. for Th. environment and symbolic a Eyheramendy II. D. elements finite Object–oriented [FA92] neural Zimmermann. artificial Th. using and sands Eyheramendy of D. modeling Stress–strain Penumadu. D. and [EZ01] Zhao, R. Yao, C. Ellis, of W. response G. seismic Three-dimensional [EZ96] Conte. P. Joel and Yang, Zhaohui Yan, Linjun Elgamal, [EYZP95] Ahmed [EYYC08] FlpCFlpo,VtloVcoi etr,adEo oo.Eet fbn eeirto nhys- on deterioration bond of Effects Popov. P Egor and Bertero, Victorio of approximations Vitelmo pressure Filippou, constant C piecewise Filip of analysis Error Marini. L.D. and Brezzi cutoff F. and Fortin rheology M. [FBP83] slurry Bentonite–water Davidson. R. Richard and Boyer, D. Ronald Filz, M. George [FBM06] [FBD97] n modelling. and Greece Thessaloniki, Engineering Earthquake on Sciences Mining and codes. model. porosity double a Engineering and Mechanics Applied in 1999. Methods 16-17 Computer October Carolina, North Charlotte, Exposition, and Conference Engineering Civil Teaching formualtion. 2018. 10.1002/eqe.3110:1–10, 1989. Engineers, Mechanical of Engineers editors, Society Mechanical Venkayya, of V.B. Society and American Stroud, W.J. Grandhi, 1988. 28(5):579–602, evaluation. performance and mentation formulations. neering nonlinear of programming automatic programming. automatic networks. 2008. July 1176, system. bridge-foundation-ground bay humboldt eei eairo enocdcnrt ons ehia eot atqaeEgneigRsac Center, Research Engineering Earthquake 1983. report, Berkeley, Technical California, joints. of concrete University reinforced of behavior teretic 2006. law. darcy’s ment In stability. trench wall 1997. , 9(22)22–71 2001. 190(22-23):2729–2751, , optrmtosi ple ehnc n engineering and mechanics applied in methods Computer 42:34,1996. 44(2):43–47, , SEJunlo etcnclEngineering Geotechnical of Journal ASCE optrMtosi ple ehnc n Engineering and Mechanics Applied in Methods Computer optrMtosi ple ehnc n Engineering and Mechanics Applied in Methods Computer nvriyo taa(aaa,1996. (Canada), Ottawa of University he-iesoa oooi n ylcbhvoro adselitrae:Testing interfaces: sand-steel of behaviour cyclic and monotonic Three-dimensional 078:5–7,Otbr–Dcme 2003. December – October 40(7-8):957–973, , rceig fteAC ofrneo nSt eeito fteGeoenviron- the of Remediation Situ in on Conference ASCE the of Proceedings optrMtosi ple ehnc n Engineering and Mechanics Applied in Methods Computer nentoa ora fgeomechanics of journal International http://www.fakescape.com iieEeet nAayi n Design and Analysis in Elements Finite oue1 of 16 volume , ae –9 pigr 2018. Springer, 1–49. pages , SEJunlo tutrlEngineering Structural of Journal ASCE optrMtosi ple ehnc n Engi- and Mechanics Applied in Methods Computer rceig fteWne nulMeigo the of Meeting Annual Winter the of Proceedings 2()4945 1995. 121(5):429–435, , atqaeEgneig&Srcua Dynamics Structural & Engineering Earthquake AD 9:2523,2005. 2335, 194:2285 , ae 54.NwYr,NY American : N.Y. York, New 35–43. pages , ()2027 2009. 9(6):250–257, , nentoa ora fRc Mechanics Rock of Journal International 4:5–7,1997. 141:355–372, , 9(31)14–59 February 195(13-16):1547–1559, , 11910 1987. 61:129–160, , eso:2.Ags,22,15:04 2021, August, 26. version: optr Structures & Computers 22329 1992. 12:203–239, , uoenConference European 3104 of 2972 page: 3:7–0,1996. 132:277–304, , 134(7):1165– , College , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et KzmFkainadEmnEgn ylcsml-ha eairo adselitrae ne constant under interfaces sand-steel of behavior simple-shear cyclic Cyclic and Evgin. monotonic Erman three-dimensional and Fakharian for Kazem apparatus automated An In Evgin. loading. E cyclic and during Fakharian interfaces KAZEM on tests shear direct versus shear Simple [FE97] Evgin. basis E radial and Fakharian of K behavior the on [FE96] Observations Charles. R. and Wright, G. Driscoll, T.A. [FE95] Fornberg, B. walls. nonmoving pressurization thermal on of loads Evidence Shimamoto. chear Toshihiko and Vertical Hirose, Takehiro Toro, Ebeling. Di Giulio M. Ferri, Fabio Robert [FDWC02] and Duncan, Michael J. Filz, M. dem using George materials [FDTHS10] granular of strength shear anisotropic its of Study and Dafalias. materials F. Yannis granular and Fu of Pengcheng bands shear [FDE97] within evolution Fabric Dafalias. Yannis within and plasticity Fu metal TX, Pengcheng in meeting, hardening distortional project Directional [FD11] NEES Dafalias. F. Yannis project. and demonstration Feigenbaum P. sfsi Heidi Nees Dryden. Mathew [FD10] and Fenves Gregory [FD07] [FD05] GL evsadM ley eairadfiueaayi famlil–rm iha rdei h 1994 the in bridge highway multiple–frame a of analysis failure and Behavior Ellery. M. and Fenves G.L. [FE98] Theory. I: walls. nonmoving on loads shear Vertical decompo- Duncan. stress Michael J. on and based Filz concrete M. George reinforced for model constitutive A Borst. de R. and Feenstra H. P. [FD97] [Fd95] Concha. Fernando with A structures for analysis of methods simplified of Evaluation Constantinou. C. [FCDL Michael and Fadi comuta- Fabio implicit parallel large–scale [FC14] for methodology concrete FETI analysis transient earthquake A for Crivelli. program Luis computer and Farhat a Charbel EAGD-84 Chopra. [FC10] K. Anil and Fenves Gregory [FC94] [FC84] + Gbil irnio ia egz lvaD ua ereMlnks iirsKrmto,Mt Di- Matt Karamitros, Dimitris Mylonakis, George Luca, De Flavia Cengiz, Cihan Fiorentino, Gabriele 21] 16 2011. 1126, omlsins condition. stiffness normal interfaces. of testing and Engineering Earthquake geotechnical in Advances Dynamics Recent on Soil Conference International of Proceedings 2002. 490, boundaries. near approximations function gouges. smectite-rich on experiments friction high-velocity in 1997. September Applications. II: simulation. GEOMECHANICS theory. IN state METHODS critical to relation thermodynamics. 2005. August Austin, 15 1997. 1105, Engineering Geoenvironmental and Geotechnical of otrdeerhuk.TcnclRpr 80,PE etr eebr1998. December Center, PEER 98/08, Report Technical earthquake. northridge 1995. May Engineers, Civil of Society American editor, the of Sture, Division Stein seis- In of sition. Investigation testing. bridges: Antonio table abutment Vrettos, shaking Integral by Christos Isaković, Nuti. Tatjana effects Camillo Dynamics interaction Briseghella, and soil-structure Bruno Sextos, mic Lavorato, Anastasios Davide Gomes, Topa Dihoru, Luiza etz, 2010. isolators. pendulum friction triple 1994. mechanics. structural in tions 1984. August EERC/UCB, 84/11, Report Technical dams. gravity 06:5713,2021. 50(6):1517–1538, , nentoa ora o ueia n nltclMtosi Geomechanics in Methods Analytical and Numerical for Journal International oue1 nvriyo isuiRla 1995. Missouri–Rolla, of University 1. volume , SEJunlo etcncladGoniomna Engineering Geoenvironmental and Geotechnical of Journal ASCE nentoa ora fSld n Structures and Solids of Journal International etcnclTsigJournal Testing Geotechnical oi-iudsprto ntemnn industry mining the in separation Solid-liquid ora fGoehia n eevrnetlEngineering Geoenvironmental and Geotechnical of Journal nentoa ora o ueia ehd nEngineering in Methods Numerical for Journal International rceig f1t Conference 10th of Proceedings NENTOA ORA O UEIA N ANALYTICAL AND NUMERICAL FOR JOURNAL INTERNATIONAL al iwDI 010/a.8,2010. 10.1002/nag.988, DOI: View Early , atqaeEgneig&Srcua Dynamics Structural & Engineering Earthquake optr ahmtc ihApplications with Mathematics & Computers 91:23,1996. 19(1):22–31, , 2()8682 etme 1997. September 123(9):856–862, , er Nova Terra ae 4–4.EgneigMechanics Engineering 643–646. pages , 42-3:5674,2007. 44(22-23):7526–7542, , atqaeEgneig&Structural & Engineering Earthquake pigr 2014. Springer, . eso:2.Ags,22,15:04 2021, August, 26. version: 25:4–5,2010. 22(5):347–353, , 91:–2 January 39(1):5–22, , 3104 of 2973 page: 123(9):863–873, , 123(12):1096– , 37:1945–1975, , 335:7 – 43(3-5):473 , 35(10):1098– , SEJournal ASCE Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et Gro .Fno.Etmto o tcatcsi models. soil stochastic for Estimation development. software Fenton. engineering A. for Gordon programming Boulder, –oriented at Object Colorado of Fenves. University report, L. Technical Gregory effect. butterfly the and CIMNE [Fen99a] Felippa. A. Carlos formulation. instructional template IV A retention. QUAD4: and Supernatural performance [Fen90] Felippa. student A. engineering Carlos of computational study to longitudinal applications A and [Fel12] principles Felder. variational M parametrized R. of 1993. survey Boulder, A CU at Notes [Fel06] Felippa. Lecture - A. methods. august Carlos element Boulder, finite CU Nonlinear at Felippa. Notes A. Carlos Lecture [Fel95] - programing. august element finite Boulder, oriented CU Object at Notes Felippa. Lecture A. [Fel94] Carlos programing. element finite oriented functionals. [Fel93] Object mixed Felippa. I. A. elasticity: Carlos in principles variational and mutlifield functionals [Fel92b] Parametrized hybrid Felippa. II. A. elasticity: Carlos in principles variational report, multifield Technical [Fel92a] Parametrized ii. and Felippa. i A. notes, Carlos lecture methods, element finite linear CU–CSSC–87–02, [Fel89c] to Report Introduction Technical Felippa. A. springs. Carlos penalty with points critical [Fel89b] Traversing Felippa. A. Carlos Belytschko, engineers. creative T. creating Liu, On K. Felder. [Fel89a] W. M. Richard In control. incremental general under relaxation Dynamic [Fel87b] Felippa. A. Carlos mechanics. computational for network [Fel87a] analysis distributed a of Architecture Felippa. A. Carlos algebraic linear in definition constraint for techniques functions penalty [Fel84] of analysis algebraic Error linear Felippa. in A. definition Carlos constraint for techniques function penalty of [Fel81] analysis Error Felippa. A. for Carlos approach (CCD) design capacity [Fel77b] Concrete Feenstra. H. Peter Breen. E. John and [Fel77a] Eligehausen, Rolf Fuchs, Werner [Fee93] of behaviour stress-path-dependent of modelling [FEB95] Elasto-plastic Evgin. Erman and Fakharian Kazem [FE [FE00] + KzmFkain ra vi,e l opeesv xeietlsuyo adselinterfaces sand-steel of study experimental comprehensive A al. et Evgin, Erman Fakharian, Kazem 02] omna Engineering ronmental Computers with 2012. November July, Engineering and chanics methods. mechanics. 1992. decembar 1992. decembar Methods Numerical Applied in munications formulation. 1989. free Septembar the CU-CSSC-89-19 No. Report 1989. Boulder, at Colorado of University 1987. Boulder, at Colorado of University 1984. editors, U.K., Park, Swansea C. K. and Structures & systems. systems. 1993. November Technology, of University Delft concrete. to fastening In paths. stress cyclic Conference and Engineering monotonic various to subjected 2000. interfaces. nentoa ora o ueia ehd nEngineering in Methods Numerical for Journal International Engineering in Methods Numerical for Journal International ora fEgneigEducation Engineering of Journal nentoa ora o ueia n nltclMtosi Geomechanics in Methods Analytical and Numerical for Journal International optrMtosi ple ehnc n Engineering and Mechanics Applied in Methods Computer 34543 1981. 13:405–413, , :–5 1990. 6:1–15, , opttoa set fbailsrs npanadrifre concrete reinforced and plain in stress biaxial of aspects Computational omnctosi ple ueia Methods Numerical Applied in Communications 2()4045 ue1999. June 125(6):470–485, , C Journal ACI nentoa oit fOsoeadPlrEgnes 2002. Engineers, Polar and Offshore of Society International . 9(14)51–32 uut2006. August 195(41-43):5316–5342, , noaieMtosfrNnierProblems Nonlinear for Methods Innovative 21:39,JnayFbyr 1995. January/Febryary 92(1):73–94, , :98,1989. 5:79–88, , 21:6–6,1995. 82(1):361–367, , niern Education Engineering h wlt nentoa ffhr n Polar and Offshore International Twelfth The SEJunlo etcncladGeoenvi- and Geotechnical of Journal ASCE optrMtosi ple Me- Applied in Methods Computer 17978 1977. 11:709–728, , 1977. 11:709–728, , :99,1989. 5:89–98, , ae 0–3.PnrdePress, Pineridge 103–133. pages , 1:0–3,1994. 113:109–139, , eso:2.Ags,22,15:04 2021, August, 26. version: ae 2–2,Jnay1987. January 222–227, pages , 3104 of 2974 page: 24(2):183–199, , h thesis, PhD . Engineering Computers Co- Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et W .La in esi aeyo maketdm eeomnsi eerhadpatc 1988-1998. practice and research in developments dams editor, embankment kamon, of safety Masashi Seismic In Finn. Liam trenches. D. backfilled W. soil–bentonite in stresses Consolidation Filz. M. George element finite to test [Fin98] element individual the From Militello. Carmelo and Haugen, Bjørn Felippa, A. Carlos [Fil96] education. language second and foreign in styles teaching [FHM95] and In Learning Henriques. geomechanics. E.R. in and contacts Felder of R.M. analysis Numerical Humbert. settlement. P foundation [FHF and probabilistic Guenot, Three-dimensional A approximation. Frank, Griffiths. chaos Roger V. polynomial D. the and of [FH95] Fenton accuracy A. the Gordon On Grigoriu. M. and [FGH82] Field soil. random R.V. random spatially spatially of prediction on Bearing-capacity settlement Griffiths. foundation D.V. [FG05] and Probabilistic Fenton buildings. G.A. Griffiths. rc V. of D. analysis and damage Fenton [FG04] seismic A. the Gordon for method Gaˇsperˇsiˇc. N2 Peter The [FG03] and Fajfar Peter [FG02] analysis. element finite oriented – Object Steimer. F. Siegfried and Foschi, [FG96] O. Ricardo Forde, R. W. Bruce [FFZ differential partial [FFS90] elliptic performance for method student multiquadric Improved engineering Kansa. E. of and Friedman, study M.J. Fedoseyev, longitudinal A.I. A Dietz. [FFM E.J. and Felder, G.N. Felder, R.M. [FFK02] of University thesis, Master’s materials. granular [FFD98] of characterization Elastoplatic Ferrer. Arduino issue. Pedro special the for Editorial [FFBW Fenves. L. Gregory [Fer92] [Fen09] Gro .Fno.Rno edmdln fctdata. cpt of modeling field Random Fenton. A. Gordon [Fen99b] + + + S ir,G ioci,R iir,M hapn,adGrs?.Wv mltd ea rvnb anhar- by driven decay amplitude Wave Garesc?F. and Chiappini, M. Zivieri, R. Finocchio, G. Fiore, S. 20] M aae .Hsei .Fraeapu,I nsaools n .Gzts -trybuilding 3-storey Gazetas. G. and Anastasopoulos, I. Farzaneganpour, F. Hashemi, K. Fadaee, M. 20] R edr .N edr .Mue,C .Hmi r,adE .Dez ogtdnlsuyof study longitudinal A Dietz. J. E. and Jr., Hamrin E. C. Mauney, M. Felder, N. G. Felder, M R. 95] + R edr .D ors,L ae-ad .J it,adP .Mh.Alniuia td of study longitudinal A Mohr. H. P. and Dietz, J. E. Baker-Ward, L. Forrest, D. K. Felder, M R. 93] ora fGoehia n eevrnetlEngineering Geoenvironmental and Geotechnical of Journal Mechanics Engineering atitudes. and performance student Education in Engineering differences gender of III Journal retention. and performance student engineering ae 1–5.AC,Ags 98 1998. 1998. III August Dynamics ASCE, Soil editors, 812–853. Holtz, and pages D. Engineering Robert Earthwuake and Yegian, Geotechnical Mishac Dakoulas, Panos In Geotechnics Environmental test. patch the 1995. 38:199–229, of Evolution templates: experiments. and Analysis 2020. faulting: 138:106297, reverse to subjected Annals Language Foreign Geomechs in Num. Conf. Journal Geotechnical ASCE Engineering, Geoenvironmental and Geotechnical of Journal Dynamics Structural & Engineering Earthquake systems. mass-in-mass nonlinear in potential monic Structures and Computers boundary. the on collocation pde via equations students. traditionally-taught with 1998. comparisons 87(4):469–480, V. retention. and courses. introductory of failure and success I Education retention. Engineering and performance student engineering 1992. Rico, Puerto 2009. 38(5):537–539, etlEngineering mental 2()4648 ue1999. June 125(6):486–498, , 01:46,2003. 40(1):54–65, , 21:52,1993. 82(1):15–21, , 912:58,2004. 19(1-2):65–80, , oue1 ae 74,1982. 37–45, pages 1, volume , 81:13,1995. 28(1):21–31, , 43:5–7,1990. 34(3):355–374, , ae 9–0.Blea 1996. Balkema, 497–502. pages , 42:5–6,1995. 84(2):151–163, , nentoa ora o ueia ehd nEngineering in Methods Numerical for Journal International 51:14,1996. 25(1):31–46, , opt ah Appl. Math. Comput. ple hsc Letters Physics Applied atqaeEgneigadSrcua Dynamics Structural and Engineering Earthquake SEJunlo etcncladGeoenviron- and Geotechnical of Journal ASCE 3()2229 2005. 131(2):232–239, , olDnmc n atqaeEngineering Earthquake and Dynamics Soil etcnclSeilPbiainN.75, No. Publication Special Geotechnical , rceig faSeilyConference: Specialty a of Proceedings 2()3130 a 2002. May 128(5):381–390, , ora fEgneigEducation Engineering of Journal 335:3–5,2002. 43(3-5):439–355, , eso:2.Ags,22,15:04 2021, August, 26. version: 1(2:211 2020. 117(12):124101, , c − − 3104 of 2975 page: φ soils. Probabilistic ora of Journal Canadian t Int. 4th ASCE , , , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et Msiiin ernt,CroJna n iri ii aallslto oilcniindf geome- fe ill-conditioned to solution Parallel Pini. Giorgio and community-modeling developing Janna, A Carlo OpenSHA: Ferronato, Cornell. Massimiliano Allin C [FJP and Jordan, H Thomas amplifi- Field, ground-motion H Nonlinear Edward Zeng. Yuehua and Beresnev, A [FJP11] Igor Johnson, A engineering. Paul earthquake Field, geotechnical H in Edward design based Performance practice.[FJC03] Finn. engineering Liam earthquake W.D. geotechnical of State–of–the–art Finn. [FJBZ97] L. D. W. [Fin18] [Fin00] VR edu,AV ohto,YS aisi n ..Yneesy ls epneo ie aiyin cavity lined a of response Blast Yankelevsky. D.Z. and Karinski, Y.S. Kochetkov, A.V. Feldgun, failure V.R. overlapping editors. or Kesselman, Carl partial and with Foster Ian anchors of capacity Tensile Klingner. [FKKY08] E. project. Richard globus and The Farros Kesselman. Ben Carl C. and Foster Ian [FK99] [FK95] [FK] DGFeln n ogntr.Srs tt aibe o nauae soils. unsaturated for variables state Stress Morgenstern. R N and Fredlund supercomputers. G on D Notes Ltd. Systems Point Floating Onaran. Kasif and Lai, S. foundations James rectangular Findley, three-dimensional N. [FM77] of William functions Impedance Han. functions. Bin basis [Flo86] and radial Liang, gaussian Jianwen with Fu, computations Jia Stable Flyer. N. and [FLO76] Larsson, E. Fornberg, B. Fletcher. R. [FLH17] centrifuge and Analysis parallel interaction: soil-structure the Seismic Beratan. for L.L. and meshes Ledbetter, unstructured R.H. [FLF11] Finn, of W.D.L. partitioning Automatic [Fle87] Lesoinne. Michel and to Farhat approach Charbel analytical new A [FLB86] Kochetkov. A.V. In and Yankelevsky, grids. D.Z. computational for Karinski, architecture Y.S. security Feldgun, A [FL93] Tuecke. V.R. S. and Tsudik, G. Kesselman, C. Foster, I. [FKYK16] integration. system distributed for services Grid Tuecke. S. [FKTT98] and Nick, J. Kesselman, C. Foster, I. [FKNT02] InFse,Cr esla,adSee uce h ntm ftegrid. the of anatomy The Tuecke. Steven and Kesselman, Carl Foster, Ian [FKT01] + Ewr il,Toa odn ognTPg,KvnRMle,BueESa,TmtyEDawson, E Timothy Shaw, E Bruce Milner, R Kevin Page, T Morgan Jordan, H Thomas Field, H Edward 17] /–/,2011. n/a–n/a, problems. chanical analysis. hazard seismic for environment earthquake. northridge 1994 the during sediments by cation Engineering Earthquake Engineering Earthquake ln is,TmPros eneLHreek nrwJMcal ta.Asnpi iwo h third the of view synoptic A al. et Michael, J 2017. Andrew (UCERF3). 1267, Hardebeck, Forecast Rupture L Earthquake Jeanne California Parsons, Uniform Tom Biasi, P Glenn oosstrtdsoil. saturated porous a 1999. California, Francisco, San Inc., Publishers, basis. Kaufmann LRFD an on formulae existing 1995. of ber/December Evaluation surfaces: n eevrnetlEngineering Geoenvironmental and Comput. Sci. J. eisi ple ahmtc n ehnc.NrhHladPbihn opn,1976. Company, Publishing North–Holland Mechanics. and Mathematics Applied in Series half-space. multi-layered in embedded studies. model mechanics. computational records. neering in signal problems surface of free solution the from base bedrock the Engineering at Earthquake history and time Dynamics acceleration the reconstruct Conference, Security Communications and Computer on Conference ACM 5th Proc. uroptn Applications Suprcomputing Computer 67574 1993. 36:745–764, , 56:74,Jn 2002. June 35(6):37–46, , rcia ehd fOptimization of Methods Practical ula niern n Design and Engineering Nuclear 32:6–9,2011. 33(2):869–892, , nentoa ora o ueia n nltclMtosi Geomechanics in Methods Analytical and Numerical for Journal International 1:2 3,2018. 332, – 114:326 , 2000. 20:1–15, , nentoa ora fIpc Engineering Impact of Journal International 2001. , 0,1977. 103, , http://www.globus.org/research/papers.html 51 0 2016. 30, – 85:19 , olDnmc n atqaeEngineering Earthquake and Dynamics Soil h rd lern o e optn Infrastructure Computing New a for Blueprint Grid: The esooia eerhLetters Research Seismological 41:3–6,1986. 66, – 94(1):53 , onWlyadSn. 1987. Sons., and Wiley John . nentoa ora o ueia ehd nEngi- in Methods Numerical for Journal International http://www.globus.org/ re b eaaino iceatcMaterials Viscoelastic of Relaxation abd Creep niern Computations Engineering esooia eerhLetters Research Seismological Nature C Journal ACI 9(60:9,1997. 390(6660):599, , 59:5–6,2008. 35(9):953–966, , eso:2.Ags,22,15:04 2021, August, 26. version: 44:0–1,2003. 74(4):406–419, , 26:9–1,Novem- 92(6):698–710, , nentoa ora for Journal International . ora fGeotechnical of Journal 0:1–2,2017. 103:118–122, , :5–5,1986. 3:254–258, , 3104 of 2976 page: ae 39,1998. 83–92, pages , olDnmc and Dynamics Soil olDnmc and Dynamics Soil . 88(5):1259– , Morgan . pages , SIAM IEEE Soil . Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et Y .Fn,D eic n .R .Oe.Anwcieinfrdtriaino nta odn parameter loading initial of determination for criterion new A Owen. J. R. D. Perić, and D. systems. Feng, Boulder, mechanical T. coupled CU Y. of at analysis Notes Partitioned Lecture Farhat. Charbel methods. and Park, element K.C. finite Felippa, Advanced A. elasto–plastic Carlos Park. deformation [FPO96] finite K.C. a and using Felippa test slump A. the Carlos of Solution Prevost. H. J. and [FPF01] Famiglietti M. C. active and collaborative, Cooperative, classroom: [FP95] education higher the in learning Interactive plasticity. Foyle. and C. H. dislocations of [FP94] theories continuum the On Fox. N. online published languages? Fowler. [Foy95] specific Martin domain for killer-app The workbenches: Language Fowler. [Fox68] Martin [Fow11] concrete massive for model viscous-damage plastic strain-based A [Fow05] Cervera. M. and element. Oliver, hexahedral J. eight-node Faria, Accurate R. Ottosen. Saabye Niels [FOT and Fredriksson Magnus discrete improved an by materials granular of simulation [FOC98] Saxcé. Numerical de G. student and Millet, engineering O. of Fortin, interpolants. study J. function longitudinal A basis [FO07] radial Baker-Ward. L. gaussian and of Dietz, evaluation J. Stable E. Mohr, McCourt. [FMdS04] H M.J. P. Felder, and M Fasshauer the R. E. II. G. – analyses. freedoms structural for drilling design object–oriented corner An [FMDBW94] with McKenna. Francis triangles and Fenves Membrane Gregory Militello. Carmelo and [FM12] Felippa A. Carlos [FM99] [FM92] Fe otaeFudto,Ic n esrgnrlpbi ies,vr .pbihdonline: published 3. system. information ver. customs a license, in languages public Domain-specific general Freudenthal. Margus lesser Gnu Inc. Foundation, Software subspaces. Krylov Free on based methods reduction Model [Fre10] Freund. W. excitation. Roland earthquake under structures inelastic uncertain of [Fre07] Reliability Franchin. Paolo Rahardjo. H and Fredlund and G interconnecting D and [Fre03] tearing element finite of method A Roux. Francois–Xavier [Fra04] and Farhat Charbel [FR93] [FR91] + JmsW ol?II ae .Ote,BadnTlmn,McalR ue,Nta .Cae Alejandro Crane, K. Nathan Tupek, R. Michael Talamini, Brandon Ostien, T. James III, Foulk? W. James 21] oa n ihe .Vilu.Etniga1-oecmoiettaerlfiieeeetfrsolid for element finite tetrahedral composite 10-node a Extending Veilleux. G. mechanics. Michael and Mota, Engineering in Methods Numerical for Journal naclnt methods. arc–length in Interaction. Fluid-Structure Engineering for and Methods Mechanics Computational Applied in Methods Computer 1995. January-May model. drucker–prager editor, Foyle, 1995. C. D.C., Harvey In strategies. learning Mathematics Applied http://martinfowler.com/articles/languageWorkbench.html structures. method. backgrounds. element urban and rural from students between Education differences Engineering II of retention. and performance Comput. Sci. J. SIAM 1999. element. ANDES 1 2010. 71, //www.gnu.org/copyleft/lesser.html 2003. 319, Mechanics Engineering of 1991. algorithm. solution parallel its nentoa ora o oisadStructures and Solids for Journal International nentoa ora o ueia ehd nEngineering in Methods Numerical for Journal International oanSeicLanguages Domain-Specific nentoa ora o ueia ehd nEngineering in Methods Numerical for Journal International iieEeet nAayi n Design and Analysis in Elements Finite X()6–5 1968. XXI(1):67–75, , 42:3–6,2012. 34(2):737–762, , nentoa ora o ueia ehd nEngineering in Methods Numerical for Journal International optr n Structures and Computers 33:52,1994. 83(3):15–21, , 3()1011 eray2004. February 130(2):180–191, , nentoa ora o ueia ehd nEngineers in Methods Numerical for Journal International olmcaisfrustrtdsoils unsaturated for mechanics Soil 9h ue2007. June 29th. , dio-elySgaueSre,2011. Series, Signature Addison-Wesley . 26:3–5,2007. 72(6):631–657, , ae27 ainlEuainAscain Washington Association, Education National 237. page , 83:7–8,1996. 58(3):479–485, , 21921 1992. 12:189–201, , 51)13–58 1998. 35(14):1533–1558, , 9(42)34 20 01 dacsin Advances 2001. 3270, – 190(24-25):3247 , urel ora fMcaisand Mechanics of Journal Quarterly onWly&Sn,1993. Sons, & Wiley John . ue2005. June , eso:2.Ags,22,15:04 2021, August, 26. version: 2(5:8537,2021. 122(15):3845–3875, , caNumerical Acta 25:3 6,2004. 663, – 62(5):639 , EESoftware IEEE 736–93 1994. 37:3869–3903, , 3104 of 2977 page: ob submitted be to 32:1205–1227, , SEJournal ASCE ae 267– pages , International 27:65– , Journal http: , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et W arnadG alr h etdvlpddrn lsi xeso fmetals. of extension plastic during developed heat The Taylor. GI and Farren WS problems elliptic for elements Finite Todor. Alexandru Radu and Schwab, solid Christoph three–dimensional Frauenfelder, trilinear Philipp of [FT25] development nonlinear systematic for a methods On orthogonality Schweizerhof. length K. arc Freischläger Improved and C. Stiemer. Wun- F. In Siegfried [FST05] and mechanics. Forde computational R. for W. architecture Bruce utility A NICE: Stanley. M. [FS96] G. and Felippa A. C. [FS87] Fritz. Peter Fredlund. D M and [FS85] Rahardjo, H Fredlund, G D [Fri00] [FRF12] NnFn,GoogZag n ai hnewl ntepromneeauto fsohsi finite stochastic of evaluation performance the On of Khandelwal. behaviors Kapil direct-shear and Zhang, Three-dimensional Guodong Feng, Nan Hou. Wen-Jun in parameters and shape Zhang, variable spatially Jian-Min and Feng, phenomenon runge Da-Kuo [FZK21] The Zuev. J. and Fornberg approximation. squares B. least moving approximate problems. Iterated contact Zhang. [FZH18] elastic J.G. of and computation Fasshauer numerical G.E. on note A Zienkiewicz. the OC [FZ07b] using and soils Francavilla unsaturated A for function permeability the Predicting Huang. S [FZ07a] and Xing, teaching A ii. Fredlund, education. G engineering D of future The Rugarcia. [FZ75] A. and solver. Stice, equation J.E. column Woods, active D.R. Felder, parallel architecture. R.M. A program computer Wilson. [FXH94] Edward concurrent and element Farhat finite Charbel new A the and Wilson. discrete Edward [FWSR00] The and Farhat materials: Charbel granular of Mechanics [FW88] Vardoulakis. I. and Tomassetti, G. Froiio, F. [FW87] precast and cast–in–place of behavior Fatigue Klingner. E. [FTV06] R. and Burns, H. computation N. Tsui, linear T. equivalent K. versus C. Fang, nonlinear K. Fully I. Tabatabaiefar. [FTC Reza Hamid S and Fatahi Behzad [FTBK90] [FT13] + IsiFjsio uioTksia iCe,Hrk aaua n auoSzk.Prle visualization Parallel Suzuki. Yasuko and Nakamura, Hiroko Chen, Li Takeshima, Yuriko Fujishiro, Issai 00] oa oit fLno :mteaia,pyia n niern sciences engineering and physical mathematical, A: London of society royal 2005. February 228, coefficients. stochastic with formulation. strain enhanced 1996. Simo’s 33(20-22):2993–3017, on bsed elements analysis. element finite Norway Trondheim, editor, Bathe, Bergan, derlich 2000. Zurich, in Technology of Institute 2012. Sons, & Wiley ehreTechniques Meshfree lmnsi ieradnnierproblems. nonlinear and linear in elements 2018. interface. 144(12):04018095–1–11, gravel-structure a interpolation. Engineering in Methods Numerical for Journal national curve. characteristic soil-water work. that methods 1988. 28(2):289–304, Engineering in Methods Numerical for Journal International 2006. December juxtaposed. descriptions continuum In geofem. in datasets gigabyte of reinforcement. isotropic with decks bridge panel soils. soft on buildings midrise of 2013. analysis 14(4):04014016, seismic for method atqaeSmlto (ACES), Simulation Earthquake HOSAB srManual User RHEO-STAUB, optr ahmtc ihApplications with Mathematics & Computers ae 4–6,1985. 447–463, pages , hmclEgneigEducation Engineering Chemical ae 2–4,2007. 221–240, pages , optr Structures & Computers optrMtosi ple ehnc n Engineering and Mechanics Applied in Methods Computer iieEeetMtosfrNnierPolm,Erp–SSymposium, Europe–US Problems, Nonlinear for Methods Element Finite aainGoehia Journal Geotechnical Canadian SEJunlo etcncladGoniomna Engineering Geoenvironmental and Geotechnical of Journal ASCE http://www.tokyo.rist.or.jp/ACES_WS2/ nentoa ora fSld n Structures and Solids of Journal International n CSWrso xeddAbstracts Extended Workshop ACES 2nd ignossh ehiceHcshl ¨rc,SisFederal Zürich, Swiss Hochschule Eidgenössische Technische . optr Structures & Computers nauae olmcaisi niern practice engineering in mechanics soil Unsaturated 75:2–3,1987. 27(5):625–630, , C Journal PCI 41:63,2000. 34(1):26–39, , ()9394 1975. 9(4):913–924, , nentoa ora fSld n Structures and Solids of Journal International 43:7 9,2007. 398, – 54(3):379 , 417–72 1987. 24:1771–1792, , 53:83,MyJn 1990. May–June 35(3):28–39, , 14:3–4,1994. 31(4):533–546, , nentoa ora fGeomechanics of Journal International 4:048 2021. 243:106408, , eso:2.Ags,22,15:04 2021, August, 26. version: 0(4)4241 1925. 107(743):422–451, , optr Structures & Computers PCCoeainfor Cooperation APEC . 2000. , 43(25-26):7684–7720, , 3104 of 2978 page: rceig fthe of Proceedings 194(2-5):205– , dacsin Advances { John . RBF Inter- } , , , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et DmnkGodk,CrsinBce,adSea ue.ItgaigGU sfs opoesr nothe into co-processors fast as GPUs Integrating Turek. Stefan and Becker, Göddeke, Christian Dominik [GBT06] [FZY M .GterzadR eBrt ueia nlsso oaiainuigavsolsi regularization: viscoplastic a using localization of analysis [GBD Numerical Borst. de R. and analysis. Gutierrez elasto–plastic A. strain large M. in issues computational [GBC Some Bathe. SCEC J. K. The and Gabriel Wooddell. G. E Katie and Somerville, [GB99] G Paul Abrahamson, A Norman In Goulet, liquid. by [GB95] A saturated solids Christine pore elasto–plastic in deformation inelastic of Localization Garagash. A. Igor [GASW15] Gan. S Buntara [Gar96] [Gan18] soil. saturated in waves elastic of propagation in coupling viscous [GAJ of Influence Gajo. interac- A. soil-building-soil and basin Soil, large-scale Gazetas. George for and method Anastasopoulos, gradient Ioannis Garini, conjugate Evangelia feti-preconditioned A [Gaj95] Farhat. C. and Avery, P. Ghosh, D. [GAG20] [GAF09] with soils, soft on foundations of uplifting [GAB Seismic plagioclase. Anastopoulos. calcic J. on pressures and shock Apostolou, of M Effects Gazetas, Ahrens. G. [GAA J. Thomas and Gibbons V. Rex [GAA03] [GA77] A ao yeeatcmdligo ml-tansins nstoyo ylclylae sand. loaded cyclically of anisotropy stiffness small-strain of modelling Hyperelastic Gajo. A. [Gaj10] + + + + + + SF hhr,F bzra .Jog .Kruu,adE aiol.Bidietfiaino ieeffects site of identification Blind Taciroglu. E. and Kurtulus, A. Jeong, C. Abazarsa, F. Ghahari, S.F. 18] Ya eg ae aai a ag ein ag agoWn,adBrsJrm´.Poeue to Jeremić. Procedures Boris and Wang, Fangbo Wang, Hexiang Yang, Han Zamani, Kaveh Feng, Yuan 19] Qa u ihl abt,Je .Cne hlpE il n rn cen.OpenSees-SNOPT McKenna. Frank and Gill, E. Philip Conte, P. Joel Barbato, Michele Gu, Quan 12] Kr .Grte emtAcl oet elti al etch,McaeD osvs o-i Ko, Hon-Yim Kotsovos, D. Michale Bertacchi, Paolo Bellotti, Roberto Aschl, Helmut Gerstle, W H. Kenneth Bozorgnia, Kurt Yousef Boore, M David Atkinson, M Gail Abrahamson, A Norman 80] Gregor, Nick 14] A es,Aa euln akDnar,Qihn in,Rbr ace,adVaidy and Manchek, Robert Jiang, Qeicheng Dongarra, Jack Beguelin, Adam Geist, Al ] udrm h aallvrulmcie(v) e fdcmnso h WWW. the on documents of set editors, Szczerbicka, Helena (pvm). and Technique Becker Simulation Markus on In machine Symposium FEAST. package FE virtual parallel parallel The http://www.epm.ornl.gov/pvm/pvm_home.html Sunderam. n erc oinfo ufc epnesignals. response surface from motion bedrock and verification. code and solution algorithm: integration elastoplastic Computers nonlinear with in trust build rmwr o nt-lmn-ae piiaino tutrladgoehia systems. geotechnical and structural Engineering Structural of of optimization finite-element-based for framework defects. 1999. material 44:1823–1841, stochastic of Influence Structures and seismic-hazard of context the in validation code for Methodology analyses. exercise: validation platform 1996. broadband May Engineers, Civil of Society editors, American Su, the C. of T. Division and Lin K. Y. 2018. 331, – earthquakes. seven during city mexico of motions on effects tion 2009. problems. 7):914–931, element finite stochastic In earthquake). 1999 (izmit Foundations adapazari from examples ora o ueia n nltclMtosi Geomechanics in Methods Analytical and Numerical for Journal Engineering Geotechnical Traina, A. Leonard Taylor, states. A. stress Michale multiaxial under Schickert, concrete Division Gerald of Mechanics Behaviour Rosi, Engineering Zimmerman. of M. Pio Roger Newman, NGA-West2 and Winkler, B. of Helmut Comparison John Linse, al. Diethlem et Seyhan, Emel Kamai, Ronnie Idriss, IM Chiou, GMPEs. S-J Brian Campbell, Minerals of Chemistry atqaeSpectra Earthquake esooia eerhLetters Research Seismological ude et 2003. Sept. Dundee, , 623:4–6,1995. 56(2/3):249–267, , ae –4 2019. 1–14, pages , nIoemti praht emStructures Beam to Approach Isogeometric An ()9–0,1977. 1(1):95–107, , 3()8284 ue2012. June 138(6):822–834, , 2()6664 etme 1995. September 121(9):636–644, , 03:1919,2014. 30(3):1179–1197, , rceig f1t Conference 11th of Proceedings 0(M)18–43 eebr1980. December 106(EM6):1383–1403, , nentoa ora o ueia ehd nEngineering in Methods Numerical for Journal International ae 7–8,Spebr2006. Septembar 277–282, pages , 61:72,2015. 86(1):17–26, , nentoa ora o ueia ehd nEngineering in Methods Numerical for Journal International olDnmc n atqaeEngineering Earthquake and Dynamics Soil rceig fteItrainlCneec on Conference International the of Proceedings pigr 2018. Springer, . ae 3–3.EgneigMechanics Engineering 931–934. pages , 42:1–3,2010. 34(2):111–134, , Géotechnique eso:2.Ags,22,15:04 2021, August, 26. version: 07:8–0,2020. 70(7):581–607, , rceig fte19th the of Proceedings 3104 of 2979 page: SEJunlof Journal ASCE SEJournal ASCE International hsc and Physics Engineering Computers 107:322 , Journal 80(6- , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et A es .Crl n ..Aos.Acntttv oe o okjit omlto n numerical and formulation joints rock for model constitutive A Alonso. E.E. and Carol, soil–reinforcement I. of analysis Gens, the for A. formulation element interface An fault-rupture Alonso. structures crossing E. bridges E. of of and behavior Carol, analysis seismic I. in Gens, earthquake keys A. shear for of Role method Chopra. K. substructure Anil [GCA90] and A Goel K. Rakesh Chopra. K Anil and Gutierrez [GCA88] A an Jorge of acceleration GPU Turek. [GC08] Stefan and wind Wobker, of Hilmar simulation Buijssen, large-eddy H.M. of [GC78] Göddeke, Sven assessment Dominik Quality Heijst. van G.J.F. and Blocken, B. Gousseau, [GBWT09] P. [GBvH13] DnM hoe n oe .Gae.Sohsi nt–lmn nlsso esi soil–structure seismic of analysis finite–element Stochastic Ghanem. G. Roger and Ghiocel Lin M. K. Dan Y. In analysis. image by flows granular mixed Studying Gustafsson. Peter and Gustafsson members Lennart RC for models [GG02] dissipation a Energy in Biskinis. cavities Dionysis of and imaging Fardis, stress-wave N. Michael the Grammatikou, On Sofia Bonnet. Marc and Fata, [GG96] Nintcheu finite- Sylvain random Guzina, and B. stochastic Bojan by analysis settlement Probabilistic Fenton. [GFB19] A. methods. Gordon element and finite Griffiths stochastic V. in D. computations stress and [GFB03] Strain Farhat. Sharbel seepage. and steady to Ghosh due Debraj gradients exit of analysis Probabilistic Fenton. A. Gordon [GF09] and Griffiths V. Carlo. D. Monte chain Markov Practical Geyer. J editor,[GF08] Charles Fichera, G. In mechanics. continuum in convection and Duality Germain. P. [GF98] [Gey92] [Ger76] dynamic under strains under finite at strains media porous finite saturated of at modelling media element Finite porous Denzer. R. saturated and Gajo of A. modelling element Finite Denzer. R. and Gajo A. analyses response site [GD11] with associated Challenges Rathje. M. Ellen and Cox, R. Brady Griffiths, C. Shawn [GD10] [GCR16] M erids eeomn fpycre o aee ol.In soils. layered for curves p-y of Development Georgiadis. M. non-gaussian Gear. stationary C. for William model simulation carlo monte A Arwade. [Geo83] S.R. and Ditlevsen, O. Grigoriu, M. [Gea71] [GDA03] implementation. interactions. zones. McIntire, P. John and interaction. Smari structure-soil W. including Waleed In solver. Navier-Stokes element editors, finite parallel unmodified verification. solution and Validation building: 2013. high-rise 133, a around flow ora fGoehia n eevrnetlEngineering Geoenvironmental and Geotechnical of Journal Mechanics to Mathematics Pure of interaction. 1996. May Engineers, Civil of Society American the editors, of Su, C. T. and structures. and solid. semi-infinite 2009. November methods. element ENGINEERING IN METHODS NUMERICAL FOR JOURNAL INTERNATIONAL constituents. compressible with conditions ENGINEERING constituents. IN compressible METHODS with conditions dynamic 2016. motions. 10, ground – input high-intensity 85:1 to subjected soils soft for neering 1971. Inc, Prentice–Hall, Computation. 2011. 85(13):1705–1736, processes. SEJunlo rdeEngineering Bridge of Journal ASCE ae 3–4.Aeia oit fCvlEgnes pi 1983. April Engineers, Civil of Society Americal 536–545. pages , ihPromneCmuig&Smlto 2009 Simulation & Computing Performance High rbblsi niern Mechanics Engineering Probabilistic SEJunlo niern Mechanics Engineering of Journal ASCE optr n Geotechnics and Computers atqaeEgneig&Srcua Dynamics Structural & Engineering Earthquake ueia ntlVlePolm nOdnr ieeta Equations Differential Ordinary in Problems Value Inital Numerical optr n Geotechnics and Computers SEJunlo etcncladGoniomna Engineering Geoenvironmental and Geotechnical of Journal ASCE nentoa ora fSld n Structures and Solids of Journal International rceig f1t Conference 11th of Proceedings al iw O:1.02ne35:–8 2010. 10.1002/nme.3051:1–38, DOI: View: Early , ae 0–2.Pta ulsig 1976. Publishing, Pitman 107–128. pages , atqaeEgneig&Srcua Dynamics Structural & Engineering Earthquake :3–5,1988. 7:133–151, , nentoa ora o ueia ehd nEngineering in Methods Numerical for Journal International 34:9–0,Jl 2008. July 13(4):398–408, , (-)32,1990. 9(1-2):3–20, , 81:79,2003. 18(1):87–95, , 2()6–7 2002. 128(1):66–77, , NENTOA ORA O NUMERICAL FOR JOURNAL INTERNATIONAL ae 0–0.EgneigMcaisDivision Mechanics Engineering 100–103. pages , ttsia science Statistical ae 22,Jn 2009. June 12–21, pages , 2()7977 etme 981998. 1998 September 124(9):789–797, , olDnmc n atqaeEngineering Earthquake and Dynamics Soil 83:8–0,2019. 48(3):287–305, , etcnclPatc nOsoeEngi- Offshore in Practice Geotechnical 06:55–12,2003. 1523, – 40(6):1505 , optr n Fluids and Computers eso:2.Ags,22,15:04 2021, August, 26. version: ae 7–8,1992. 473–483, pages , 411–29 2008. 74:1219–1239, , rnsi Applications in Trends 135(11):1629–1637, , 3104 of 2980 page: eisi Automatic in Series . ()5–9 1978. 6(1):51–69, , 910– 79:120 , ASCE , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et Nc aop,Ng oidrj,McalHno,adDns aoh.L-P:Agrtm o dense for Algorithms LU-GPU: Manocha. Dinesh and on Henson, shaking Michael Govindaraju, ground Naga near-fault Galoppo, of Nico to Effects application Georgarakos. – T. landslides and grain-crushing-induced Anastasopoulos, for I. Garini, model E. A [GGHM05] Gazetas, G. Gazetas. George and Gerolymos Nikos [GGAG09] [GG07] D .Gits isn un,adGro .Fno.Iflec fsailvraiiyo lp re- slope on variability spatial of Influence Fenton. A. Gordon and Huang, Jinsong implementation. Griffiths, elements V. finite D. stochastic purpose general a for technique. Ingredients modeling Ghanem. volumetric interactive Roger An Sculpting: Hughes. F. John [GHF09] and Galyean A. Tinsley [Gha99] [GH91] EihGma icadHl,RlhJhsn n onVlissides. John and Johnson, Ralph Helm, Riachard Gamma, Erich [GHJV95] DnGvl.Attra nteajitmto o nes problems. inverse for method adjoint the on tutorial A Givoli. Dan Girkmann. Karl Dam, van Andy time- In in objects. [Giv21] volumetric method Gilly. deforming element Daniel for finite algorithm fast stochastic a spectral ChainMail: the 3D [Gir59] of Gibson. Applicability F. Sarah Iaccarino. G. and [Gil92] Ghosh D. development. of state engineering: earthquake [Gib97] in design Performance-based Ghobarah. Ahmed [GI07] [Gho01] RJ olnadPA aos bu h omlto,vrfiainadvldto ftehproi flow hypersonic the of validation and verification formulation, the About Jacobs. P.A. and Gollan R.J. failure. concrete for model Jirásek. Damage-plastic Milan and Grassl Peter [GJ13] [GJ [GJ06] B udoadC en.Fl-aeomivrino noeetdnmctato nabudd2 domain 2D bounded a in traction dynamic incoherent of inversion Full-waveform Jeong. C. and Guidio B. [GJ19] [GJC R hnmadR .Kue.Nmrclslto fseta tcatcfiieeeetsystems. element finite stochastic spectral domains. of large solution Numerical for Kruger. method M. R. element and Ghanem finite R. A Keller. B. Joseph motions and input Givoli sh-wave Dan of inversion Full-waveform Jeonga. [GK96] C. and Guidio, Jeremić, L. B. Guidio, [GK89] B. [GJGJ20] + + G¨lGenbu,BnˆtJcb ta.Egnv.ht:/ie.ufml.r,2010. http://eigen.tuxfamily.org, v3. Eigen al. et BenoˆıtGaël Jacob, Guennebaud, 10] Rbr rvs hmsJra,SotClahn w ela,Ewr il,Gdo ue alKessel- Carl Juve, Gideon Field, Edward Deelman, Ewa Callaghan, Scott Jordan, Thomas Graves, Robert 11] iersseso rpishrwr.In hardware. graphics on systems linear 2009. December systems. sliding 1995. Kobe Nikawa, ehd nApidMcaisadEngineering and Mechanics Applied in Methods iblt sn - admfields. random 2-d using liability 1991. 0-89791-436(8/91):267–274, ISBN 3(0:3717,Otbr2009. October 135(10):1367–1378, betOine Software Object–Oriented Faltwerke ut ,Sbsoo,C 57,scn dto,Spebr1992. September edition, second 95472, CA Sebastopol, A, Suite 2007. editor, University, Stanford Research, Turbulence for Center brief,, Annual problems. uncertain dependent structures ing n Structures and Engineering and Mechanics ovreilmer. solver fsaa aemotions. wave scalar of ehd nApidMcaisadEngineering and Mechanics Applied in Methods Vahi. Karan and Small, Patrick california. Okaya, southern David for model Milner, 2011. hazard Kevin 168(3):367–381, seismic physics-based Mehta, A Gaurang Cybershake: Maechling, Philip man, ple ehnc n Engineering and Mechanics Applied conditions. boundary wave-absorbing by truncated Engineering domain a in rceig ypsu nItrcie3 Graphics 3D Interactive on Symposium Proceedings pigrVra,We,1959. Wien, Springer-Verlag, . 00 nreview. in 2020. , NXi Nutshell a in UNIX 38:7–8,2001. 23(8):878–884, , nentoa ora o ueia ehd nFluids in Methods Numerical for Journal International 32-3:1679,2006. 43(22-23):7166–7196, , SEJunlo etcnc n eevrnetlEngineering Geoenvironmental and Geotechnics of Journal ASCE la hnrgek;En¨hugi i lsottkdrShie,Patn cae und Schalen Platten, Scheiben, der Elastostatik die Flächentragwerke; Einführung in olDnmc n atqaeEngineering Earthquake and Dynamics Soil SEJunlo niern Mechanics Engineering of Journal ASCE rfsinlCmuigSre.AdsnWse,19.IB 0-201-63361-2. ISBN 1995. Addison–Wesley, Series. Computing Professional . 8:180 2021. 380:113810, , uselHnbo.ORil soits n,13Mri Street, Morris 103 Inc, Associates, & O’Reilly Handbook. Nutshell A . SEJunlo etcncladGoniomna Engineering Geoenvironmental and Geotechnical of Journal ASCE 61:16,Nvme 1989. November 76(1):41–66, , rc fAMSuperComputing ACM of Proc. 6(-)1–4 aur 1999. January 168(1-4):19–34, , 2()29–33 1996. 303, – 129(3):289 , ae 4–5,Arl1997. April 149–154, pages , 79:0–1,Spebr2007. September 27(9):803–817, , 4()14,2019. 147(4):1–44, , einPten.Eeet fReusable of Elements Patterns. Design tutrlDnmc n Earthquake and Dynamics Structural 31:95,92013. 9 73(1):19–57, , eso:2.Ags,22,15:04 2021, August, 26. version: 2005. , optrMtosi Applied in Methods Computer nentoa ora fSolids of Journal International ueadApidGeophysics Applied and Pure optrMtosin Methods Computer 135(12):1906–1921, , 3104 of 2981 page: Computer Computer Engineer- ACM , , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et Vaii rze n rlKla.Rsos fpnuust ope nu rudmotion. ground input complex to pendulums of Response Kalkan. Erol and Grazier Vladimir [GK08] [GKA FGlgt,RKukui,IAatspuo,adGGzts olna iesoa nlsso trapezoidal of analysis dimensional Nonlinear Gazetas. G and Anastasopoulos, I Kourkoulis, R Gelagoti, F [GKAG12] JmhdGaosiadHsa oe.Patct oe o ylcbhvo fsn.I .Wittke, W. In sand. of behavior cyclic for model Plasticity Momen. Hassan and Ghaboussi Jamshid nuclear underground of discrimination seismic [GM79] on models material rock of influence The geology Glenn. A. regional Lewis 3-D the of [GLL effect the to On subjected Paolucci. foundations R. shallow and for Clouteau, D model Lopez-Caballero, interface [Gle95] F. Contact Gatti, convex F. for L.Kutter. conditions Bruce boundary and absorbing Gajan fraction Sivapalan Continued Lim. [GLCCP18] Keng-Wit and Guddati elements. N finite Murthy by analysis stability Slope Lane. P.A. [GL09] and soil– Griffiths 3D D.V. simulate to foundation circular a for [GL06] macro-element A Mazars. J. and foundation Kotronis, shallow P. a Grange, for S. [GL99] macro-element A Mazars. Jacky and Kotronis, Panagiotis editors. Kästner, Steéphane Grange, H. and [GKM09] Hellwich, M. Küstner, H. Gellert, W. [GKM08] [GKHK77] B hs n ...Mdbuh.Cnrfg oeln fsimcsi tutr neato effects. interaction structure soil seismic of modelling Centrifuge Madabhushi. S.P.G. and Ghosh B. emerging and evidence New interaction: soil–structure Seismic Mylonakis. George and [GM07] Gazetas high George for Conditions flow: granular fine-grain of analysis Image Marklund. Olov and Gustafsson Lennart [GM98] porous elastic linear saturated of response sands. transient the of for solution behavior analytical anisotropic An Mongiovi. inherently L. for and Gajo model A. [GM95b] Plasticity Momen. Hassan and Ghaboussi Jamshid [GM95a] [GM84] + + L iad,A ivnno .Lu ..Mthe,adA oy ob rntt eituie the intrusive? be to not or be To Nouy. A. and Matthies, H.G. Liu, D. Litvinenko, A. Giraldi, L. 14] FGlgt,RKukui,IAatspuo,TTzh n aea.Simcwv rpgto in propagation wave Seismic Gazetas. G and Tazoh, T Anastasopoulos, I Kourkoulis, R Gelagoti, F 10] n atqaeEngineering Earthquake and eysf luilvle:Sniiiyt rudmto eal n olnniert,adgnrto of generation and nonlinearity, soil and details ground-motion to component. Sensitivity vertical valley: parasitic alluvial a soft very a eebr2010. December aly ujce ovrial rpgtn Vwaves. SV propagating vertically to subjected valleys 0()9911,Jn 2012. June 102(3):999–1017, editor, case. Galerkin vanilla” ”plain 2014. equations—the 36(6):A2720–A2744, stochastic and parametric of solution UCRL-JC-120689. Laboratory. National Livermore Lawrence plant. 1995. power 13-18 nuclear August Kashiwazaki-Kariwa the In of explosions. case the structures: critical International of Journal design Geophysical seismic the on 2009. March 419, loading. cyclic combined domains. polygonal 1999. GEOMECHANICS IN interaction. structure uplift. considering interaction soil–structure simulate to Mathematics 1995. 1979. Balkema, A. A. ula niern n Design and Engineering Nuclear 1998. 1998. August III ASCE, Dynamics 1119–1174. Soil editors, pages and Holtz, 75, Engineering D. No. Robert Earthwuake and Geotechnical Yegian, Mishac ference: Dakoulas, 1995. Panos May In Engineers, issues. Civil of Society American editor, the Sture, of Stein Division Mechanics In Engineering results. measurements quality media. Geomechanics in Methods Analytical and Numerical for Journal International hr nentoa ofrneo ueia ehd nGoehnc,Aachen Geomechanics, in Methods Numerical on Conference International Third nentoa ora o ueia n nltclMtosi Geomechanics in Methods Analytical and Numerical for Journal International a otadRihl opn,17.IB -4-24- QA40.V18.1977. ; 0-442-22646-2 ISBN 1977. Company, Reinhold Nostrand Van . 95ASTpclCneec nSokCmrsino odne Matter Condensed of Compression Shock on Conference Topical APS 1995 nentoa ora o ueia ehd nEngineering in Methods Numerical for Journal International 62)35–63 2009. 46(20):3651–3663, , NENTOA ORA O UEIA N NLTCLMETHODS ANALYTICAL AND NUMERICAL FOR JOURNAL INTERNATIONAL SEJunlo etcncladGoniomna Engineering Geoenvironmental and Geotechnical of Journal ASCE 86161 2008. 28:621–631, , 3()87–86 2007. 896, – 237(8):887 , 2018. , ultno h esooia oit fAmerica of Society Seismological the of Bulletin rceig f1t Conference 10th of Proceedings ultno h esooia oit fAmerica of Society Seismological the of Bulletin ope ed Mecanique Rendu Comptes h N ocs nylpdaof Encyclopedia Concise VNR The etcnclSeilPublication Special Geotechnical , eso:2.Ags,22,15:04 2021, August, 26. version: rceig faSeilyCon- Specialty a of Proceedings Geotechnique :–7 1984. 8:1–17, , 66:4–7,2006. 66(6):949–977, , IMJ c.Comput. Sci. J. SIAM 3104 of 2982 page: 3:5–6,2008. 336:856–862, , 100(6):3035–3054, , ae 614–617. pages , 19(6):399–413, , ae 423–434. pages , 49(3):387–403, , etl,WA, Seattle, , olDynamics Soil 135(3):407– , , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et SlmGua n hldMMslm ERpromnebsderhuk niern methodology, engineering earthquake performance-based PEER Mosalam. M Khalid Günay and Selim equations. constitutive of representation Maˇsin.[GMT Graphical D. and Gudehus G. [GM13] [GM09] Mru itre lxne op ihe .Ge n ofagA al iiedfrainfrictional deformation Finite Wall. A. Wolfgang and Gee, W. Michael Popp, effects including [GPK Alexander faults ground- Gitterle, rough Markus broadband on simulations (2010) ground-motion pitarka Kinematic and Pitarka. Arben graves and the Graves Robert to Refinements approach. [GPGW10] hybrid Pitarka. a Arben using and using simulation Graves arches ground-motion Robert and Broadband beams Pitarka. of Arben analysis and element [GP16] finite Graves Nonlinear W Robert Palazotto. N. A. the and to relation Gummadi [GP14] in B. surface N. failure L. conical anisotropic of properties The nonlinear Prevost. [GP10] H. in J. models and general Griffiths for V. D. algorithms conserving momentum [GP96] and energy Exact debonding interface Gonzalez. for model Oscar cohesive thermodynamics-based A Nguyen. with D media [GP88] Giang porous and saturated Guiamatsia for Irene solution fundamental 2d Time continua. Nguyen. interacting Van [Gon00] of Khoa and theory Gatmiri dynamical Behrouz A Naghdi. P.M. [GN14] and Green A.E. [GN05] [GN65] VMGazr ffc ftl nsrn oindt processing. data motion strong on tilt of records. Effect motion Graizer. solids. V.M strong brittle using of compression by Shock-wave displacement Grady. ground D.E. true the of with Determination generator mesh Graizer. element M. [Gra04] Vladimir finite 3-D A Gmsh: [Gra98] Jean-Fran¸cois Remacle. and Geuzaine Christophe [Gra79] constitutive network Neural HajAli. M. Rami and [GR09] Zhang, Ming-Fu Pecknold, dynamics. A. structural David in Ghaboussi, Jamshid assessment Schuëller. Reliability G.I. and Pradlwarter, H.J. Goller, B. [GPZH96] [GPS13] + + S aa,J .Pae,B .Kte,T .Hthno,adG .Mri.Cnrfg oeigo nonlinear of modeling Centrifuge Martin. R. G. and Hutchinson, C. T. Kutter, L. B. Phalen, D. J. Gajan, S. 04] Dwl .Gaet hitsMuls ik-e ajad ioasBks ereMro,adManolis and Markou, George Bakas, Nikolaos Taljaard, Vicky-Lee Mourlas, Christos Gravett, Z. Dewald 21] aarkks e udmna eidfrua o olrifre oceesrcue neato using interaction structures anns. concrete and soil-reinforced algorithms for learning formulae machine period fundamental New Papadrakakis. revisited. 2009. March 151, 13 2016. 2153, otrcnatuigasm-mohNwo ehdwt ossetlinearization. consistent Engineering with in method Methods Newton Numerical semi-smooth for a using contact mortar perturbations. velocity stochastic 3D of method. simulation motion America of Society Seismological the of Bulletin processors. parallel 1988. 12:497–504, criterion. Mohr–Coulomb elasticity. friction. and fluid. incompressible Science Engineering ylcla-eomto eairo hlo onain.I ook oaiadRyodB Seed, B. Raymond and Nogami Toyoaki In 2004. foundations. January shallow of editors, behavior load-deformation cyclic 51724 2004. 25:197–204, Physics Earth Izvestiya, editors, facilities. 2009. Su, 79(11):1309–1331, post-processing and C. pre- T. built-in and Lin K. Y. In 1996. May tests. structural Conference from determined models Vibration and Sound rceig fte1t nentoa ofrneo olDnmc atqaeEngineering Earthquake & Dynamics Soil on Conference International 11th the of Proceedings ora fErhuk Engineering Earthquake of Journal optrMtosi ple ehnc n Engineering and Mechanics Applied in Methods Computer ae 0–0.EgneigMcaisDvso fteAeia oit fCvlEngineers, Civil of Society American the of Division Mechanics Engineering 701–704. pages , nentoa ora fSld n Structures and Solids of Journal International optr Structures & Computers :3–4,1965. 3:231–241, , 3:4829,2013. 332:2488–2499, , omnctosi ueia ehd nEngineering in Methods Numerical in Communications 51)8585 1979. 15(12):875–885, , nentoa ora o ueia n nltclMtosi Geomechanics in Methods Analytical and Numerical for Journal International esooia eerhLetters Research Seismological 45:4–7,Otbr2010. October 84(5):543–571, , olDnmc n atqaeEngineering Earthquake and Dynamics Soil ultno h esooia oit fAmerica of Society Seismological the of Bulletin nentoa ora o ueia ehd nEngineering in Methods Numerical for Journal International 33:1–2,My1996. May 63(3):413–428, , 76:2–5,2013. 17(6):829–858, , 0(A:0522,2010. 100(5A):2095–2123, , ehnc fMaterials of Mechanics 61:58,2014. 86(1):75–80, , 13:4–5,2014. 51(3):647–659, , olDnmc n atqaeEngineering Earthquake and Dynamics Soil 9(31)16–73 2000. 190(13-14):1763–1783, , eso:2.Ags,22,15:04 2021, August, 26. version: 13:1–3,2005. 21(3):119–132, , 91123 1998. 29:181–203, , Géotechnique nentoa ora of Journal International 4:066 2021. 144:106656, , 3104 of 2983 page: nentoa Journal International rceig f11th of Proceedings 106(5):2136– , 59(2):147– , ora of Journal , , , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et TeHFGop HDF5. up? infrastructure. Group. measure HDF (ims) The measures intensity discovery seismic Do scientific Grigoriu. M records. ground-acceleration open seismic scale to not or [Gro20] scale To Grigoriu. Mircea problems. dimensional higher Teragrid: for schemes approximation related and grids [Gri16] Sparse management. Griebel. resources M. water– teaching for method Case Group. [Gri11] Grigg. S. Neil Infrastructure Grid [Gri06] site-response theory random-vibration and series time of [Gri95] “comparison on Comment motions. ground Graizer. Vladimit strong in [Gri] Tilts Grazier. Vladimir [Gra14] [Gra06] JaunGri-urzadDmiiAiai xc esi epneo mohrgdrtiigwlsrest- walls retaining rigid smooth of response seismic concen- Exact single-storey Asimaki. for Domniki models and Garcia-Suarez analysis Joaquin history time nonlinear of Validation Salawdeh. S and Goggins J devices structural in dissipation [GSA20a] energy of Modeling Saravanathiiban. S. material Duraisamy uncertain and with Gajan tensors Sivapalan elasticity for model stochastic [GS13] A Soize. Christian load. and lateral Guilleminot under Johann piles driven on effect Group Selvam. S. and [GS11] Gandhi R. Shailesh Spanos. D. Pol and [GS10] Ghanem G. Roger [GS97] [GS91] JaunGri-urzadDmiiAiai xc esi epneo mohrgdrtiigwalls retaining rigid smooth of response seismic Exact Asimaki. Domniki and Garcia-Suarez Joaquin [GSA20b] DmnkGodk,Rbr tzda n tfnTrk efrac n cuayo hardware-oriented of accuracy and Performance Cosserat Turek. for Stefan and plasticity Strzodka, Multisurface Göddeke, Robert Dominik Sulem. Jean and Sab, Karam Stefanou, Ioannis for formulation Godio, element [GST07] Michele finite Dynamic Sulem. Jean and Sab, Karam Stefanou, Ioannis Godio, [GSSS16] Michele [GSSS15] [GSMY [GSMY + + DmnkGodk,Rbr tzda aa odYsf arc comc,Hla okr Christian Wobker, Hilmar McCormick, Patrick Mohd-Yusof, Jamal Strzodka, Göddeke, Robert Dominik Buijssen, H.M. Sven McCormick, Patrick Mohd-Yusof, 08] Jamaludin Strzodka, Göddeke, Robert Dominik 07] susi niern dcto n Practice and Education Engineering in Issues 68–3 2016. 46:80–93, Mechanics Mathematics Computational of http://www.teragrid.org/ Rathje. M. Ellen and 2014. Kottke February R. 104(1):540–546, Albert by methods” 10.1785/0120060065. doi: 2006. December 96(6):2090–2102, n eevrnetlengineering geoenvironmental and 1991. edition, edition revised Inc., tions n nsi soil. stiff on ing tests. table shake 2013. full-scale 42(8):1151–1170, using frames braced trically loading. seismic 2011. during 1122, soil foundation and symmetries. 2020. etn nsi soil. stiff on resting 41)15–79 2020. 44(13):1750–1769, aie,euae-admxdpeiinslesi E simulations. FEM in Systems solvers Distributed and mixed-precision Emergent and emulated- native-, validation. and Engineering implementation element Plate materials: 2015. plates. elastic Cosserat cluster. a Engineering on GPU- and performance solver Science a multigrid Computational improve on to of GPUs calculations Journal Using Turek. FEM Stefan and for Becker, scalability weak Exploring Turek. Stefan cluster. enhanced and Grajewski, Matthias 3()2423 pi 2011. April 137(4):284–293, , 0()4644 06 nme.5219. 2016. 108(5):456–484, , nentoa ora fSld n Structures and Solids of Journal International nentoa ora o ueia n nltclMtosi Geomechanics in Methods Analytical and Numerical for Journal International aallComputing Parallel nentoa ora o ueia n nltclMtosi Geomechanics in Methods Analytical and Numerical for Journal International nentoa ora o ueia ehd nEngineering in Methods Numerical for Journal International https://www.hdfgroup.org/HDF5/ . ae 0–6,2006. 106–161, pages , 2()7279 uut1997. August 123(8):702–709, , 24:2–5,20.SeilIse ple aallComputing. Parallel Applied Issue: Special 2007. 22(4):221–256, , 31–1:8–9,2007. 33(10–11):685–699, , tcatcFnt lmns pcrlApproach Spectral A Elements, Finite Stochastic 2()3–6 aur 1995. January 121(1):30–36, , olDnmc n atqaeEngineering Earthquake and Dynamics Soil ()3–5 2008. 4(1):36–55, , ultno h esooia oit fAmerica of Society Seismological the of Bulletin ultno esooia oit fAmerica of Society Seismological of Bulletin atqaeegneig&Srcua dynamics Structural & engineering Earthquake nentoa ora o ueia ehd in Methods Numerical for Journal International 72-3:11–33,2010. 3130, – 47(22-23):3121 , 2020. , rbblsi niern Mechanics Engineering Probabilistic nentoa ora fParallel, of Journal International eso:2.Ags,22,15:04 2021, August, 26. version: SEJunlo Professional of Journal ASCE SEJunlo Engineering of Journal ASCE ora fgeotechnical of Journal 3104 of 2984 page: 101(13):992–1018, , oe Publica- Dover . 18:16– 31(8):1106 , International Foundations n/a(n/a), , , , , , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et VaoGˇe n ial rfnc nrydsiainb olna olsrisdrn soil–structure during strains soil nonlinear by dissipation Energy Trifunac. D Mihailo rejuvenate. Giˇcev and and replicate, Vlado retry, Remove, bugs: Fighting Trivedi. micropo- S Kishor deformation and Grottke large Michael of implementation element Finite [GT12a] structures. Tsakmakis. softening Ch. of and response Grammenoudis seismic P. for algorithms for integration [GT07] Time methods Tinawi. element R. finite and two-field Ghrib F. and three- of Evaluation [GT05] for Vitaliani. methods R. element and finite Saetta, two–field A. and Gajo, three– [GT96] A. of Evaluation Vitaliani. R. and Saetta, A. Gajo, [GSV94b] A. [GSV94a] Jh utfo.Cmuainlvrfiblt n esblt fteAC program. ASCI the of feasibility and verifiability Computational Gustafson. John stress. Guidio. Peruqui effective Bruno of principle by the of velocity [Gus98] Implications ground peak Gudehus. of Gerd Reduction Todorovska. I. [Gui20] Maria and Trifunac, D. Mihailo Giˇcev, Vlado [Gud21] waves and rocking, Nebojˇsa translation, Orbović. and Two-dimensional Trifunac, D [GTT21] Giˇcev, Mihailo Vlado waves and rocking, Nebojˇsa translation, Orbović. and Two-dimensional Trifunac, [GTO16c] D Giˇcev, Mihailo Vlado waves and rocking, Nebojˇsa translation, of Orbović. and Two-dimensional Trifunac, excitation [GTO16b] D. Giˇcev, Mihailo Vlado wave and torsion, Translation, Nebojˇsa Orbović. and Trifunac, D Giˇcev, Mihailo Vlado [GTO16a] [GTO15] rocks. jointed of mechanics the for model A Brekke. L [GTM Tor and Taylor, L Robert Goodman, E Richard structural for scenarios damage earthquake predetermined [GTLC on note A Trifunac. D. Giˇcev Mihailo Vlado and [GTB68] [GT12b] Mge .Gt´re.Terno ieso ncmuainlfiuemechanics. failure computational in dimension random Gutiérrez. The A. Miguel [Gut06] + + JmsA olt ai eir ltieMce,InF .Sih n u hunr.Quantifying Chouinard. Luc and Smith, C. F. Ian Michel, Clotaire Texier, Marie Goulet, James-A. 13] FGti aaTuai ennoLpzCbleo oet alci lueu le Fernandes, Alves V Clouteau, D Paolucci, Roberto Lopez-Caballero, Fernando Touhami, Sara Gatti, F 18] WCEE hm n odie ra-ad3Derhuk iuaina ula ieb nall-embracing an by site nuclear at simulation earthquake 3-D Broad-band Voldoire. approach. F source-to-structure and Kham, M pulse. sh by excited interaction 2007. 40(2), effects. hardening kinematic Engineering and in isotropic Methods exhibiting plasticity lar soil. saturated 1994. of 37(7):1231–1247, response dynamic the soil. saturated 1994. of 37:1231–1247, response dynamic the hss h ahlcUiest fAeia 2020. America, of University Catholic The thesis, 2021. pulse. sv-wave an by Excitation 2021. iii: 145:106535, - response soil nonlinear pulse. SV-wave earthquake plane a by Engineering excited Earthquake interaction and soil-structure during building a in pulse. P-wave earthquake plane a by excited Engineering interaction Earthquake soil-structure and during building a in pulse. P-wave earthquake plane a by excited Engineering interaction Earthquake soil-structure and during pulse. building a SH in earthquake an by excited interaction soil–structure Engineering Earthquake during building a bridges. of identification structural for simplifications modeling Engineering of effects the Div Foundations & Mechanics Soil of Journal monitoring. health cec n Engineering and Science Mechanics 89 1996. 1889, , 13:5–6,2006. 21(3):257–266, , o:016/AC)E14-52005014,2013. doi:10.1061/(ASCE)BE.1943-5592.0000510:1–44, , tutrlCnrladHat Monitoring Health and Control Structural ulwvfr neso fSimcIptMtosi ersraeDomain Near-surface a in Motions Input Seismic of Inversion Full-waveform 73141 2015. 77:391–401, , 21)19 70 2005. 1720, – 62(12):1691 , ()3–5 aur ac 1998. March - January 5(1):36–45, , 87–1 2016. 88:76–91, , 2016. 90:454–466, , 2016. 466, – 90:454 , olDnmc n atqaeEngineering Earthquake and Dynamics Soil olDnmc n atqaeEngineering Earthquake and Dynamics Soil nentoa ora o ueia ehd nEngineering in Methods Numerical for Journal International Engineering in Methods Numerical for Journal International 1968. , olDnmc n atqaeEngineering Earthquake and Dynamics Soil 98:4–5,2012. 19(8):746–757, , caGeotechnica Acta nentoa ora o Numerical for Journal International eso:2.Ags,22,15:04 2021, August, 26. version: 1:6–8,2018. 115:263–280, , 32120 2012. 43:261–270, , rbblsi Engineering Probabilistic SEJunlo Bridge of Journal ASCE 3104 of 2985 page: EEComputational IEEE 16(6):1939–1947, , olDnmc and Dynamics Soil olDynamics Soil Dynamics Soil olDynamics Soil Computer PhD . 11th , , , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et MreGterz ffcso osiuieprmtr nsri oaiaini sands. in localization strain on parameters constitutive of Effects River Gutierrez. Savannah Marte report, Technical report. interaction soil-structure energy, of department Us Gutierrez. B [Gut11b] [Gut11a] AaorHdin eea rmwr o ikcnitn esi design. seismic risk-consistent for framework general A Hadjian. Asadour all for method computing Hadamard. lagrangian-eulerian Jacques arbitrary An Cook. JL and [Had02] Amsden, A Anthony code Hirt, analysis CW hazard seismic Probabilistic [Had45] Bozorgnia. Yousef and Abrahamson, Norman Hale, Christie [HAC74] macro- in concrete mass heterogeneous [HAB18] of quantification in Uncertainty problem Hariri-Ardebili. contact Amin Hertz Mohammad The Georgiadis. H.G. and [HAB Giannakopoulos, A.E. Zisis, Zerna. Wolfgang Th. veneer. and Gourgiotis, masonry Green P.A. for Edward angles Albert [HA20] Shelf Yura. A. spectra Joseph energy and input Grimm relative T. and Clayford absolute [GZGG19] between comparison on Study explosion. Xie. underground Li-li [GZ92] by and induced Gong propagation Mao-sheng wave of Modeling Zhou. [GY89] X. Y. interfaces. and and joints Ma rock W. for element G. Finite Hao Isenberg. H. Jeremy [GX05] and Wilson, L cylindrical Edward a Ghaboussi, of Jamshid response transient the for solution analytical [GWMZ98] An Yang. abutments. J. bridge and of Gao, G.Y. states Wang, limit Y. Ultimate Gao, M. Callisto. affecting [GWI73] Luigi characteristics and testing Whittle, and John material Andrew critical Noè Gorini, certain Davide On Bigoni. D. [GWGY13] and shaped Wood, arbitrary for Muir theory D. beam Gajo, Timoshenko’s A. in factors correction Shear [GWC20] Wagner. W and Gruttmann Loan. F. Van F Charles and Golub [GWB07] H Gene generalized Time-dependent [GW01] Karniadakis. George and Vos, Peter Steen, der [GVL12] van Jan-Bart Gerritsma, Marc generalized Time-dependent Karniadakis. George and Vos, Peter Steen, der [GvdSVK10b] van approach Jan-Bart Gerritsma, stochastic Marc new A matrices. Karniadakis. George mass and and Vos, stiffness Peter of Steen, [GvdSVK10a] Reduction der van Guyan. Jan-Bart J. Gerritsma, Robert Marc [GvdSVK03] [Guy65] + FHue rhlt,FBnla a,MDruin laa,SGnae,MHelr Lai, T Hoehler, M Gonzales, S Elgamal, A Doroudian, M Day, S Bonilla, F Archuleta, R Heuze, F 04] o ueia n nltclMtosi Geomechanics in Methods Analytical and Numerical for 2011. July, DOE, Offices, Operations tutrlDynamics Structural 1945. Inc., Publishing, Dover and Press, University motions. earthquake strong site-specific Estimating al. Engineering et Lavallee, D o speeds. flow Head- Center, 2018. Research Berkeley, Engineering California, Earthquake of University Pacific the 2018/03, at PEER quarters Report Technical verification. scale. elasticity. couple-stress Engineering factor. ductility of effects and Geotechnics and Computers Div Foundations & Mechanics Soil of Journal medium. poroelastic a in cavity lined Engineering Geoenvironmental and Geotechnical of Journal ASCE sand. in development band shear cross-sections. chaos. polynomial chaos. polynomial 2003. uncertainty. May with modeling 46:4681–4693, conduction heat transient to olDnmc n atqaeEngineering Earthquake and Dynamics Soil 43:9–2,2004. 24(3):199–223, , 1()5955 ac 1989. March 115(3):509–525, , ora fcmuainlphysics computational of Journal opttoa Mechanics Computational ora fCmuainlPhysics Computational of Journal Physics Computational of Journal 16166 2002. 31:601–626, , nEsyo h scooyo neto nteMteaia Field Mathematical the in Invention of Psychology The on Essay An nentoa ora fSld n Structures and Solids of Journal International 234:8–0,1998. 22(3/4):283–303, , caSimlgc Sinica Seismologica Acta Géotechnique olDnmc n atqaeEngineering Earthquake and Dynamics Soil arxcomputations Matrix 71927 ac 2001. March 27:199–207, , hoeia Elasticity Theoretical 9Po ae 09) 1973. 10095), Paper 99(Proc , 43:2–5,1974. 14(3):227–253, , 75:4–6,2007. 57(5):449–463, , 3:017 2020. 137:106137, , 2(2:33–86,2010. 8363, – 229(22):8333 , 2010. August 229:8333–8363, , 86:1–2,2005. 18(6):717–726, , 52:6–7,2011. 35(2):161–178, , nentoa ora fHa n asTransfer Mass and Heat of Journal International IAJournal AIAA oue3 H rs,2012. Press, JHU 3. volume , oe ulctos n. 1992. Inc., Publications, Dover . 4()0005,2020. 146(7):04020054, , 6:2 3,2019. 237, – 168:228 , eso:2.Ags,22,15:04 2021, August, 26. version: oldnmc n earthquake and dynamics Soil ()3030 1965. 3(2):380–380, , atqaeEgneigand Engineering Earthquake SEJunlo Structural of Journal ASCE 60:0–4,2013. 40, – 46(0):30 , 3104 of 2986 page: nentoa Journal International Princeton . , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et Nra akl.Tedseso fsraewvso utlyrdmedia. multilayered on waves surface of dispersion The a Haskell. as A control Norman hourglass incorporating Hartog. elements Den finite P. for J. quadrature to buildings. approach moment-frame new of A analysis seismic Hansbo. inelastic [Has53] Peter in damping viscous of Performance [Har52] Hall. F. CUDA. John with processing Parallel Halfhill. R. Tom [Hanar] damping. Rayleigh of misuse) (or use the from encountered Problems Hall. F John [Hal18] efficiency. social and platforms Hahn. [Hal08] Harley two-sided open editor, vs. Sture, Proprietary Stein In Hagiu. [Hal06] systems. Andrei granular in prediciton and [Hah93] laws Constitutive Haff. K. P. [Hag07] [Haf95] K ahgci osiuieeutoso rnlrmdawt naiorpchreig nW Wittke, W. In hardening. anisotropic an with media granular of equations Constitutive Hashiguchi. K. materials. heterogeneous of moduli elastic The Hashin. Zvi [Has79] [Has62] K ahgci osiuieeutoso lsolsi aeil ihaiorpchreigadelasto– and hardening anisotropic with materials elastoplastic of equations Constitutive Hashiguchi. K. [Has81] K ahgciadZ-.Ce.Eatpatccntttv qaino ol ihtesbodn ufc and surface subloading the with never soils A of guide. equation constitutive beginner’s Elastoplastic A Chen. analysis: Z.-P. hazard and seismic Hashiguchi Probabilistic K. Cornell. Allin C. and Hanks C. Thomas in motions ground near–fault computing for method theoretical freedom. [HC98] A of Bielak. degrees Jacobo drilling and On Hisada Yoshiaki Brezzi. [HC] F systems. and soil Hughes reinforced of JR analysis walls. Thomas Numerical earth Al-Yassin. reinforced Zaynab of and analysis Herrmann element validated R. Finite [HB03] Leonard for Al-Yassin. maturity Zaynab and predictive Herrmann Defining R. Leonard Unal. Cetin [HB89] and Atamturktur, Sezer [HAYb] H. Hemez, Fran¸cois [HAYa] software. scientific Haugen. Bjørn in Errors experiments: T [HAU10] The Hatton. Les panel ( models constitutive [Hau94] elastoplastic of structures basic on assessments Theoretical [Hat97] Hashiguchi. K. materials. composite of Analysis Hashin. Z. [Has88] [Has83] tutrldynamics structural & pca case. special Dynamics Structural & Engineering Earthquake Number 1995. May Engineers, Conference 10th of oit fAmerica of Society editor, 1962. March .A akm,1979. Balkema, A. A. lsi transition. plastic ehnc n Engineering and Mechanics Elements 21727 1998. 22:197–227, hardening. rotational the manuscript. fling published of interpretation physical a with faulting, directivity. surface rupture to and due offset step static considering half–spaces layered simulations. numerical neering 1988. editors, July 1987. Balkema, Bianchini, clevelend, A. G. soils, A. non–cohesive and 699–715. granular Saada for equations A. constitutive In on workshop International report: hr nentoa ofrneo ueia ehd nGoehnc,Aachen Geomechanics, in Methods Numerical on Conference International Third ()2–8 pi–ue1997. April–June 4(2):27–38, , 70513,2007. 07-095:1–37, , h hss nvriyo ooaoa ole,arl1994. april Boulder, at Colorado of University thesis, PhD . optrMtosi ple ehnc n Engineering and Mechanics Applied in Methods Computer tdnsGiet UNIX to Guide Students A ukigadSaiiyPolm o hnSelSrcue sn ihPromneFinite Performance High Using Structures Shell Thin for Problems Stability and Buckling SEJunlo ple Mechanics Applied of Journal ASME dacdSrnt fMaterials of Strength Advanced 31:73,1953. 43(1):17–34, , ae 8–8.EgneigMcaisDvso fteAeia oit fCivil of Society American the of Division Mechanics Engineering 786–789. pages , 55:2–4,2006. 35(5):525–545, , optr Structures & Computers nentoa ora o ueia n nltclMtosi Geomechanics in Methods Analytical and Numerical for Journal International 21:0–2,1989. 72(1):105–121, , ultno h esooia oit fAmerica of Society Seismological the of Bulletin http://hbswk.hbs.edu/item/5705.html osiuieEutosfrGaua o–oeieSoils Non–Cohesive Granular for Equations Constitutive crw–Hl n. 1993. Inc., Hill – McGraw . ora fApidMechanics Applied of Journal O:1.02ee30() 2018. 10.1002/eqe.3104(0), DOI: , 878:9 0,2010. 505, – 88(7-8):497 , irpoesRReport MicroprocessoR oe ulctos n. 1952. Inc., Publications, Dover . 82731 1981. 48:297–301, , ora fApidMechanics Applied of Journal EECmuainlSineadEngi- and Science Computational IEEE eso:2.Ags,22,15:04 2021, August, 26. version: oappear. to , optrMtosi Applied in Methods Computer P 12/08 2008. 01/28/2008, MPR , . 04155 1983. 50:481–505, , ultno h seismological the of Bulletin 33:1416,2003. 93(3):1154–1168, , atqaeengineering Earthquake B okn Paper Working HBS 3104 of 2987 page: ae 435–439. pages , ae 143–150, pages , Proceedings pages , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et To .Hidh n nrwDece.Eatcaiorp ftr shreds. tire of anisotropy Elastic Drescher. sand. Andrew coarse and dry Heimdahl on C. tests Thor biaxial in bands Shear Drescher. Andrew and Han Chunhua In edition. 2002 [HD99] criterion: structural failure Hoek-Brown consistent Corkum. Hazard B. and Costantino. Carranza-Torres, C. J. [HD93] Hoek, Carl E. and of Costantino, estimation C. fragility seismic Michael for Houston, expression W. Simplified Thomas Chaudhuri. [HCTC02] Ray Samit and Hutchinson C. Tara [HCC09] [HC10] Qn e ol a,adDnJa.A xlcttm-oanfiieeeetmto hti unconditionally is that method finite-element time-domain explicit An Jiao. Dan and elements. Gan, Houle finite Bayesian He, Qing analysis: finite-element in shear uncertainty Model of [HGMR Gardoni. prediction P. on and scheme Haukaas integration T. implicit of Influence free Gutierrez. the Marte [HGJ11] in and deformation Hickman J. plastic Randall Seismic Jr. Richards Rowland and Fishman, [HG11] L. Kenneth Huang, Chaojie [HG05] [HFJ99] Drucker- non-associated the for algorithm update stress complete geotech- Saxcé. A de in problems G. steady–state and Fortin, of J. class Hjiaj, a [HFH M. for analysis element finite Nonolinear Herrmann. R. Leonard [HFdS03] Hertzberg. W. Richard problems. contact of analysis element [Her99] Finite Herrmann. R Leonard körper. elastischer berührung fester dir Ueber [Her96] and second–order Hertz. symmetric Heinrich of representation matrix compressed the on [Her78] remarks Some Helnwein. Peter dynamic [Her82] the on Helgason. waves Sigurdur P of angles in incident uncertainty of of [Hel01] Impact propagation Zhao. the Mi and and sampling Jin, Liu hypercube Du, Latin Xiu-Li Davis. Huang, [Hel78] Jing-Qi Joe Freddie and Helton C Jon [HDJZ16] [HD03] + Igi oz oi eg asHgn en Hamann, Bernd Hagen, Hans Feng, Louis Hotz, Ingrid 04] + Cr aetn hitn olt uihMtaiRie,JmsLBc,GeoyGDiren et A Keith Deierlein, G Gregory Beck, L James Mitrani-Reiser, Judith Goulet, A Christine Haselton, B Curt 08] mrcnRc ehnc ypsu n 7hTneigAscaino aaaCneec:NARMS- Conference: Canada of Association Tunneling 17th and TAC Symposium Mechanics Rock American tions In spectra. 2009 response 9-14 design in-structure and demands contents. and equipment sliding-dominated otr oahnPSeat n rurlTcrgu nassmn obnhaktesimcper- seismic the benchmark 2007/1, to Report Technical assessment 2008. An building. Center, Research moment-frame Engineering Taciroglu. reinforced-concrete Earthquake Ertugrul code-conforming Pacific a and of Stewart, formance P Jonathan Porter, Mechanics Engineering of Journal 2004. 10-15 October In Texas, visualization. Austin, field tensor for methods Engineering Geoenvironmental and tbe udeePb;EETcnclRprs41 udeUiest,2011. University, Purdue 421, Reports Technical ECE e-Pubs; Purdue stable. formation. band field. 2003. apex. the 1143, of – treatment including model 1999. February Prager Davis, at California of University report, Technical engineering. nical 1996. Division Mathematik tensors. order fourth 1978. Press, Academic ematics. tunnels. lined 2016. long of responses systems. complex of analyses ae 6–7,2002. 267–271, pages , 31:1–3,1993. 33(1):118–132, , nentoa ora o ueia n nltclMtosi Geomechanics in Methods Analytical and Numerical for Journal International 0()14–07 1978. 104(5):1043–1057, , ubrSiT2 iiin4 ae 77i ,pgs19 2009. 1–9, pages ., in 1717 Paper 4, Division - 20 SMiRT number , ae 5–7,18.Berlin. 1882. 156–171, pages , SEJUNLO NIERN MECHANICS ENGINEERING OF JOURNAL ASCE ieeta emty i rus n ymti Spaces Symmetric and Groups, Lie Geometry, Differential optr ehd nApidMcaisadEngineering and Mechanics Applied in Methods Computers eomto n rcuemcaiso niern materials engineering of mechanics fracture and Deformation eiblt niern ytmSafety System & Engineering Reliability 3()5956 uut2011. August 137(8):519–526, , atqaeEgneig&Srcua Dynamics Structural & Engineering Earthquake 2()3339 1999. 125(5):383–389, , rceig fteIE iulzto 04Cneec (Vis04) Conference 2004 Visualization IEEE the of Proceedings atqaeSpectra Earthquake nentoa ora fEgneigScience Engineering of Journal International oi JeremićBoris rnatos MR 0 so,Fnad August Finland, Espoo, 20, SMiRT Transactions, 23:0–3,Ags 2010. August 22(3):709–732, , ora ¨rderieadangewandte and reine für die Journal ora fteEgneigMechanics Engineering the of Journal n ent o.Pyial based Physically Joy. Kenneth and , 3()7180 uut2005. August 131(8):791–800, , 11:36,2003. 81(1):23–69, , eso:2.Ags,22,15:04 2021, August, 26. version: SEJunlo Geotechnical of Journal ASCE ueadApidMath- Applied and Pure . 9:7327,2001. 190:2753–2770, , 3104 of 2988 page: 34–0 1999. 23:45–60, , 45(15):2435–2454, , .Wly&Sons, & Wiley J. . ol n Founda- and Soils 41(10):1109 , t North 5th ASCE , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et R il icniut eain nmcaiso ois nSednINadHl ,editors, R, Hill and N I Sneddon In solids. of mechanics in solids. relations Discontinuity elastic-plastic in Hill. stability R. and uniqueness of theory general A Hill. R. [Hil61] Hill. R. 1999. ABAQUS, Inc. Sorensen, time and for Karlsson dissipation [Hil58] Hibbitt, numerical Improved Taylor. L. Robert and Hughes, R. [Hil50] J. Thomas Hilber, M. Hans [Hib99] partioning domain automatic of Evaluation [HHT77] Abel. F. John and Paulino, H. Glaucio automatic for Hsieh, [HHS algorithms Hsien spectral Shang Recursive Abel. F. John and Paulino, H. Glaucio Hsieh, [HHPA97] Hsieh Shang [HHPA95] [HHN particle roughness, interface of Effects Prezzi. Monica and Salgado, Rodrigo Ganju, Eshan Han, Fei [HGSP18] Ysik iaa rabn togmto iuaini aee afsaeuigsohsi green’s stochastic using half–space layered in simulation motion strong Broadband of Hisada. sources implementation with Yoshiaki half-space layered parallel a for functions automated Green’s computing and for method efficient Abstraction An Hisada. Yoshiaki engine: to contraction email via Tensor [His08] published earthquakes. Hirata. during So objects oriented vertically [His94] editor, of Yih, Chia-Shun Rotation In Hinzen. mechanics. Klaus-G. solid in invariance of Aspects [Hir03] Hill. Rodney materials. composite of mechanics self-consistent [Hin11] A Hill. R. [Hil78] [Hil65] philosophies. benchmark elasto-plastic On Lyons. R. P. L. and Hellen, K. T. Hinton, E. small accelerating Libxsmm: Pabst. Hans and Hutchinson, Maxwell Henry, Greg [HHL] Heinecke, time broadband Alexander of Calculation Larsen. Shawn and Frankel, Arthur Harmsen, Stephen Hartzell, [HHHP16] Stephen [HHFL99] K aaa .Iaae .Swd,adH zr.Si-tutr neato f“pr ae nearthquake on based “jpdr” of interaction Soil-structure Ezure. H. and Sawada, Y. Iwatate, T. Hanada, K. [HISE88] + + YusfM ahs,Jffe ok igrShit on n hagYo esi einand design Seismic Yao. Chiang and John, I Schmidt, Birger Hook, J Jeffrey Hashash, MA Youssef 01] M it,C .Hgleg .J els .C any n .P wf.Dnmcrsos fberea of response Dynamic Swift. P. R. and Carney, C. T. Nellis, J. W. Hagelberg, R. C. Hiltl, M. 99] n hsc fSolids of Physics and 1950. edition, 1st. Press, Clarendon oi Mechanics Solid 1977. 292, dynamics. structural in algorithms integration structures. underground of analysis 1997. analysis. 40:1025–1051, element finite parallel for algorithms analysis. element finite parallel Engineering in partitioning domain Technology and Science In 135647. Pressure conditions. High water-pressurized and on wet Conference dry, under shock-loaded sandstone angle. friction interface sand-steel Engineering the vironmental on gradation and geometry, 32322 1965. 13:213–222, ucintechnique. function depths. close at receivers and theories. A perturbation Chemistry many-body and coupled-cluster, configuration-interaction, 2011. July group, [email protected] Mechanics Analysis In and Storage Networking, generation. Computing, code Performance runtime High by multiplications the matrix from motion strong-ground using validation and methods earthquake. of northridge Comparison 1994 motion: ground of histories bevtosadfre irto tests. vibration forced and observations . h ahmtclTer fPlasticity of Theory Mathematical The oue1,pgs17.Aaei rs,1978. Press, Academic 1–72. pages 18, volume , 2:3–6,1995. 121:137–162, , 0(6:8799,2003. 107(46):9887–9897, , ae 4–7.NrhHlad 1961. Holland, North 247–276. pages , ora fSeismology of Journal ()2629 1958. 6(3):236–249, , 4(2:410611,2018. 144(12):04018096–1–12, , ultno h esooia oit fAmerica of Society Seismological the of Bulletin ultno h esooia oit fAmerica of Society Seismological the of Bulletin unligadudrrudsaetechnology space underground and Tunnelling ula niern n Design and Engineering Nuclear 22:6–7,2008. 12(2):265–279, , nentoa ora o ueia ehd nEngineering in Methods Numerical for Journal International atqaeEgneigadSrcueDynamics Structure and Engineering Earthquake h xodEgneigSineSre.Ofr tthe at Oxford Series. Science Engineering Oxford The . oouu I(S) 99 rpit UCRL-JC- Preprint: 1999. (USA), HI Honolulu, , http://www.hks.com rceig fteItrainlCneec for Conference International the of Proceedings optrMtosi ple ehnc and Mechanics Applied in Methods Computer ora fMcaisadPyiso Solids of Physics and Mechanics of Journal ae8.IE rs,2016. Press, IEEE 84. page , ora fGoehia n Geoen- and Geotechnical of Journal eso:2.Ags,22,15:04 2021, August, 26. version: 0()13–13 1988. 183, – 105(2):173 , rceig fInternational of Proceedings 96:4410,1999. 89(6):1484–1504, , ora fteMechanics the of Journal 45:4617,1994. 84(5):1456–1472, , h ora fPhysical of Journal The 64:4–9,2001. 16(4):247–293, , 3104 of 2989 page: dacsi Applied in Advances ae 389–407, pages , rgesin Progress 5(3):283– , , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et F av ...Ko,IO eroolsadF auf.Dffs alr ngoaeil:Experiments geomaterials: in failure Diffuse Laouafa. F. and Georgopoulos I.O. Khoa, tensor H.D.V. 3D Darve second–order F. symmetric of topology The Lavin. Yinmei and Kevy, Yuvai Hesselink, Lambertus contain- concrete of [HKL06] evaluation for nuclear Method type Tcherner. Julia vver and of Bentz, Evan analysis Kwon, Dynamic Oh-Sung [HKL97] Huang, Xu Katona. of T. challenges and current Boyadjiev, and state-of-the-practice Z. the Krutzik, of N.J. overview brief [HKBT17] Halbritter, A A.L. Kamm. R. J. and and Hemez reliability M. fe F. for software object-oriented [HKBK98] and Methods Kiureghian. Der Armen and Haukaas Terje Kovacs. [HK08] D. William and Holtz D. Robert transportation the modelling software Hjelmstad. of Keith [HK07] Comparison Chan. C. H. A. and transverse Jendele, [HK81] with L. confined splices Hellawell, bar E. reinforcement epoxy–coated E. of Strength [Hje97] Jirsa. O. J. and Hamad S. B. [HJC95] [HJ93] T .R uhsadW .Lu mlctepii nt lmnsi rnin nlss tblt theory. Stability analysis: transient in elements finite Implicit–explicit Implementation Liu. analysis: K. W. transient and in Hughes elements R. finite J. Implicit–explicit T. Liu. K. W. and Hughes Leland. R. J. Robert T. and [HL78b] Hendrickson Bruce [HL78a] [HL] Sorensen. and Karlsson, Hibbitt, [HKS Sorensen. and Karlsson, Hibbitt, [HKS94c] Sorensen. and unified Karlsson, a Hibbitt, within models finite-element [HKS94b] Sketching Phair. E. Mark and Kuester, Falko Hutchinson, C. Tara [HKS94a] [HKP07] [HKL + + Jh .Hro,Kntnio aaiei,Luh i ct oead n o´ .Adae Modeling Andrade. José E. and Moreland, Scott Li, Liuchi Karapiperis, Konstantinos Harmon, M. John 21] YusfM ahs,Abr ote oahnPSeat ent apel ynmnKim, Byungmin Campbell, W Kenneth Stewart, P Jonathan Kottke, R Albert Hashash, MA Youssef 14] n modelling. and fields. increase. pressure internal Dynamics and Structural excitation earthquake & to subjected structure effects. ment interaction soil-structure of consideration for Design procedures and different Engineering using plants power editor, Graziani, Frank Validation In verification. solution 2007. structure. May/June bridge a 21(3):151–163, to application with analysis sensitivity 1981. of University Engineering, Civil of Department report, Technical 1995. G128QQ, soil. Scotland saturated Glasgow, through pollutants of reinforcement. hrlMs,SsyNklo,ElnMRtj,adWle iv.Rfrnerc iecniinfor condition site rock Reference Silva. J Walter and Rathje, America. M North Ellen eastern and Nikolaou, central Sissy Moss, Cheryl 1994. edition, 5.4 02860-4847, RI Pawtucket, Street, Main 1080 method. element discrete set level Engineering the and within Mechanics bonding Applied Particle in Methods media: granular connected SEJunlo ple Mechanics Applied of Journal ASME examples. numerical and http://www.cs.sandia.gov/CRF/chac.html Meshes ing 2014. 1994. edition, 5.4 02860-4847, RI Pawtucket, Street, Main 1080 1994. edition, 5.4 02860-4847, RI Pawtucket, Street, Main 2007. framework. two-dimensional EETascino iulztosadCmuesGraphics Computers and Visualizations on Transaction IEEE ae 2–5.Srne elnHiebr,Bri,Hiebr,2008. Heidelberg, Berlin, Heidelberg, Berlin Springer 229–250. pages , optto,Cmues n ahCne,Sni ainlLaboratories. National Sandia Center, Math and Computers, Computation, . C Journal ACI optr n Geotechnics and Computers udmnaso tutrlMechanics Structural of Fundamentals ae /–/,21.EQE-17-0330.R3. 2017. n/a–n/a, pages , 8()7 2 1998. 92, – 182(1):73 , SEJunlo ple Mechanics Applied of Journal ASME 01:78,JnayFbyr 1993. January/Febryary 90(1):77–88, , SEJunlo optn nCvlEngineering Civil in Computing of Journal ASCE BQSSadr srsManual User’s ABAQUS/Standard BQSEpii srsManual User’s ABAQUS/Explicit BQSTer Manual Theory ABAQUS 53134 ue1978. June 45:371–374, , ultno h esooia oit fAmerica of Society Seismological the of Bulletin nItouto oGoehia Engineering Geotechnical to Introduction An 31:–4 aur 2006. January 33(1):1–14, , 7:146 2021. 373:113486, , opttoa ehd nTasot eicto and Verification Transport: in Methods Computational HC:Agrtm n otaefrPartition- for Software and Algorithms CHACO: SEJunlo optn nCvlEngineering Civil in Computing of Journal ASCE rnieHl,19.IB 0-13-485236-2. ISBN 1997. Prentice–Hall, . ibt,Krso oesnIc,1080 Inc., Sorensen & Karlsson Hibbitt, . 53538 ue1978. June 45:375–378, , ()11,1997. 3(1):1–11, , ibt,Krso oesnInc., Sorensen & Karlsson Hibbitt, . ibt,Krso oesnInc., Sorensen & Karlsson Hibbitt, . eso:2.Ags,22,15:04 2021, August, 26. version: 13:7–8,May/June 21(3):175–186, , atqaeEngineering Earthquake 3104 of 2990 page: 104(2):684–701, , rnieHall, Prentice . Computer Nuclear , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et YrvHme,Vaii ykosy n mt go.Rc iain olna eomto,adpore and deformation, nonlinear dilation, Rock Agnon. Amotz and Lyakhovsky, Vladimir Hamiel, Yariv [HLF [HLA05] Jh .Hrah efa esnhtc at rsn n future. and present Past, geosynthetic: Geofoam Horvath. S. John oscillations [Hor96] pressure of causes the On Langtangen. Petter Hans ma- and and Osnes, water Harald Haga, pore Berdal of Joachim transport [HOM of Effects Fujita. Yuji and Jiang, Mingjing Oka, Fusao strain. Higo, [HOL11] logarithmic Yosuke to conjugate stress The Hoger. Anne George Shield T Richard Hoek. [HOJF05] In Evert plasticity. in phenomena complex of examples Simple [Hog87] Hodge. Jr. Philip G. [Hoe05] finite a for architecture [Hod84] object–oriented An Katukura. Hiroshi and Nakai, Shoichi postscript boundaries. ftp-able Huang, free recomendations. Shengyang [HNW of and dynamics rules the c++, for in Programming method Nyquist. (vof) Erik fluid and of Henricson Volume Mats Nichols. [HNK96] D Billy and Hirt W Cyril contraction. and tensor strain for large algorithm [HN92] Strassen’s of problems Geijn. de for van formulation A element Robert finite and A Matthews, A Rice. Devin R. Huang, J. Jianyu [HN81] and Marcal, V. P. of Hibbitt, programming. ductility D. and element H. strength finite Enhancing object-oriented Breen. [HMvdG18] E. in John patterns and Kreger, design structures Michael of Using MacGregor, response Robert Hindi, the Mackie. Azez and R.I. [HMR70] rocks and jointed in Heng B.C.P. shock ground into Insights Morris. [HMKB95] J.P. motion. and ground Heuze strong F.E. high-frequency of character The McGuire. K [HM09] Robin and Hanks C Thomas In mpi. Adaptive Kale. [HM07] V Laxmikant and Lawlor, Orion Huang, Chao [HM81] [HLK03] + + + SehnHrzl,AeaLes rhrFakl oetAWlim,Jc dm ila tpesn and Stephenson, William Odum, Jack Williams, A Robert Frankel, Arthur Leeds, Alena Hartzell, Stephen 02] KHrd,JObysi asmt,HYsioi aua n rne eicto feffectiveness of Verification Orense. R and Yasuda, S Yoshitomi, H Matsumoto, J Ohbayashi, J Harada, K 14] J .Hls .R oacn,R .Wlimo,D .Gso,adM .Tns ovn olna solid nonlinear Solving Tonks. R. M. and Gaston, R. D. Williamson, L. R. Novascone, R. S. Hales, D. J. 12] atrSla iuaino rabn rudmto nldn olna oleet o antd 6.5 magnitude a washington. for seattle, effects soil fault, nonlinear seattle including the motion ground on broadband earthquake of Simulation Silva. Walter shear. under change pressure ehnc rbeswt h aoinfe etnkyo method. krylov newton jacobian-free Science the and with problems mechanics computing parallel for compilers and 2002. 92(2):831–853, Engineering japan. in earthquakes scale large Earthquakes past Large-Scale during Recent countermeasures liquefaction of Geomechanics in media. porous Methods low-compressible and low-permeable in Geomechanics in Methods geomaterial. Analytical viscoplastic and gradient-dependent Numerical fluid-saturated for of Journal localization International strain on heterogeneity terial 1987. 23(12):1645–1656, 1984. Elsevier, 147–173. editor, Dvorak, J 1996. 39:3497–3517, system. knowledge–based method element 1992. April 25 ), 125 00 1505, 30 Box 727 Laboratories, 8 Systems Telecomunication Ellemtel file, physics computational of Journal Computing Scientific on Journal SIAM displacements. large bridges. girder box segmental post–tensioned Structures & Computers there-in. America of Society Seismological the of nentoa ora fRc ehnc n iigSciences Mining and Mechanics Rock of Journal International coe 96 vial thttp://139.78.66.61/ejge/. at available 1996. October , 42)1312 2012. 84(22):123–152, , okEngineering Rock ehnc fMtra eair h ailC rce niesr Volume Anniversary Drucker C. Daniel The Behavior, Material of Mechanics nentoa ora fSld n Structures and Solids of Journal International 71-6:5–6,2009. 87(15-16):952–961, , ae /–/,2011. n/a–n/a, pages , at n lntr cec Letters Science Planetary and Earth ucnamrnt 2005. Vulcanhammer.net, . 8,2014. 181, , 91:0–2,1981. 39(1):201–225, , ae 0–2.Srne,2003. Springer, 306–322. pages , 03:35C2,2018. 40(3):C305–C326, , 16:0129,1981. 71(6):2071–2095, , nentoa ora o ueia ehd nEngineering in Methods Numerical for Journal International C Journal ACI nentoa ora o ueia n Analytical and Numerical for Journal International ultno h esooia oit fAmerica of Society Seismological the of Bulletin nentoa ora fSld n Structures and Solids of Journal International 21:34,JnayFbyr 1995. January/Febryary 92(1):33–44, , 3:7–8,2005. 237:577–589, , :0918,1970. 6:1069–1086, , nentoa okhpo languages on workshop International optrMdln nEngineering in Modeling Computer lcrncJunlo Geotechnical of Journal Electronic 45:4–7,Jl 2007. July 44(5):647–676, , eso:2.Ags,22,15:04 2021, August, 26. version: ;s¨ ,See e:it+46 + int tel: ( A;vsjö, Sweden ¨ 94553 2005. 29:495–523, , olLqeato during Liquefaction Soil 3104 of 2991 page: Bulletin pages , , , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et G olb n MPzi.Atemmcaia rmwr o osiuiemdl o rate-independent for models constitutive for framework thermomechanical A Puzrin. AM and Houlsby GT Patterson. structures. A. and David solids and of mechanics Hennessy in L. linearization John Consistent Pister. S. Karl and Hughes [HP00] R. J. Thomas earthquake. an during ground and [HP96] building of Interaction Housner. W George Hori. [HP78] Muneo [Hou57] [Hor06] Ktucio iiaa aooTkhsi aauiAyg,adMtuuMsio eairo base- a of granular Behavior for Mashimo. models Mitsugu modulus and resilient Aoyagi, of Takayuki implementation Takahashi, and Makoto Analysis Hijikata, Taciroglu. Katsuichirou Su, E. C. and T. Hjelmstad and D. K. Lin K. Y. In approach. deformation. variational sand [HTAM12] A of Elasto–plasticity mechanics: Tatsuoka. granular Fumio and Frictional Hoque Eqramul Patzek. W. [HT00] T. and Silin, B. D. of Holtzman, analyses inverse R. Three-dimensional Osouli. [HT96] Abdolreza and Song, Hwayeon Hashash, A. M. one- Youssef of [HSP10] Analysis Wolfe. E. William and Morland, W. Leslie Sandhu, S. Ranbir [HSO10] matériaux généralisés. Hiremath, les standards S. Sur Son. Mahantesh Quoc Nguyen and Halphen Bernard quasi–static of analysis numerical and Qualitative Schroeder. [HSMW88] C. Gregory stored and and Reddy, Daya heat B. into in Han, work Weimin mechanisms plastic segregation of Partition melt Rosakis. scale [HS75] P grain and of Rosakis, study AJ Ravichandran, experimental G An Hodowany, J Rushmer. software? T. [HRS97] scientific and is Holyoke accurate C.W. How Roberts. Andy [HRRR00] and Hatton Les elements. interface soil-structure for benchmark A Russell. [HR02] D. and Hird C.C. karhunen–Loève truncated expansion the [HR94] of study Convergence Phoon. K. K. and Quek, T. S. Huang, P. S. [HR90] using problem elastoplastic an of study sensitivity interface. and Validation soil-structure of Gabriel. Hlaváˇcek, modeling D. I. Pleˇsek, and and [HQP01] J. Testing Pu. Jialiu and Hu Liming [HPG06] [HP04] isptv materials. dissipative 1-55860-329-8. ISBN 1996. edition, second Inc., Publishers, Kauffmann Structures and Computers America of Society eevrnetlEngineering Geoenvironmental rceig fteItrainlSmoimo niern esn ere rmte21 ra East In Great earthquake. 2011 japan the east from Learned great Lessons the Engineering during on plant Earthquake Symposium power Japan International nuclear the dai-ichi of fukushima Proceedings at building isolated soils. 1996. May Engineers, Civil of Society editors, Engineering in Methods Numerical for Journal International clays. chicago in Geomechanics excavation deep a column. Geomechanics soil in finite Methods fluid-saturated Analytical a and in propagation wave dimesional 1975. 14(1):39–63, elastoplasticity. in problems metals. in energy types. rock crustal common two Engineering 1990. 147, – 10(2):139 processes. ENGINEERING stochastic of simulation for 2006. January method. scenario worst the SEJunlo niern Mechanics Engineering of Journal ASCE rceig f1t Conference 11th of Proceedings 01)1577 coe 1994. October 20(10):185–797, , nrdcint opttoa atqaeEngineering Earthquake Computational to Introduction al iw 2010. View, Early , 212–03 2001. 52:1029–1043, , oy,Jpn ac - 2012. 1-4 March Japan, Tokyo, , xeietlmechanics Experimental 73:7–8,1957. 47(3):179–186, , nentoa ora fPlasticity of Journal International :9–9,1978. 8:391–397, , optrMtosi ple ehnc n Engineering and Mechanics Applied in Methods Computer IMJunlo ueia Analysis Numerical of Journal SIAM 3()8180 2004. 130(8):851–860, , ora fMtmrhcGeology Metamorphic of Journal NENTOA ORA O UEIA EHD IN METHODS NUMERICAL FOR JOURNAL INTERNATIONAL nentoa ora o ueia n nltclMtosin Methods Analytical and Numerical for Journal International ae 4–5.EgneigMcaisDvso fteAmerican the of Division Mechanics Engineering 547–550. pages , 22:2–3,1988. 12(2):121–139, , 02:1–2,2000. 40(2):113–123, , optrAcietr uniaieApproach Quantitative A Architecture Computer 2()8180 uut2000. August 126(8):821–830, , 69:0714,2000. 16(9):1017–1047, , 11)15–20 2010. 81(10):1259–1280, , 41:4–7,1997. 34(1):143–177, , 05:9–1,2002. 20(5):493–512, , nentoa ora o Numerical for Journal International meilCleePes 2006. Press, College Imperial . eso:2.Ags,22,15:04 2021, August, 26. version: EETascino Software on Transaction IEEE optr n Geotechnics and Computers ora fGoehia and Geotechnical of Journal ultno h Seismological the of Bulletin ora eMéchanique De Journal 3104 of 2992 page: 195(7-8):763–774, , Morgan . , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et CoguHa nivretasomto o udiaea sprmti lmns nlssadapplica- and analysis elements: isoparametric quadrilateral flexible for with transformation inverse dike An a Hua. of Chongyu response Antiplane Trifunac. D Mihailo and Todorovska, I Maria Hayir, Abdul [Hua90] [HTT01] Ssm a.Simcaayi n efrac frtiigsrcue.I ao aols Mishac Dakoulas, Panos In structures. retaining of performance and analysis Seismic Iai. ground Susumu fault normal within tunnels element of responses finite seismic stable Non-linear Du. the Xiuli On and Zhao, Mi Zienkiewicz. Huang, Jingqi C. O. and [Iai98] Tham, G. L. Yue, Qi Zhong Huang, [HZD17] The Maosong Yosibash. Zohar and Holzer M. Stefan simulation finite-element [HYTZ04] Two-dimensional Mo. L. Y. and Zhao, Chunfeng Wang, Jiaji Huang, Wen Hsuan [HY96] [HWZM21] beams poroelastic linear fluid-saturated of Bending Coussy. earthquake Olivier Prévost, Scaling and H. Jean [HWW Wang, Hamburger. Hua O Zhi Ronald and Luco, base- Nicolas of Whittaker, assessment S performance Andrew Seismic [HWPC09] Huang, Yin-Nan Luco. Nicolas to and application Whittaker, with S. laws frictional Andrew of Huang, testing Yin-Nan [HWLH09] numerical for strategy A Wriggers. P. clay. and soft Haraldsson in excavations A. deep for [HWL10] prediction movement Ground and Whittle. space A.J. in and motion Hashash ground Y.M.A. earthquake of variation Stochastic Vanmarcke. [HW00] Maine, E.H. and of Harichandran University R.S. report, Technical shreds. tire of applications [HW96] engineering Civil Humphrey. N. Dana nonlinear and anisotropic [HV86] to Hughes. procedures R. J. integration Thomas selective of Generalization [Hum99] Hughes. R. languages. J. embedded Thomas domain-specific Building from [Hug87] inferred as Hudak. earthquake Taiwan Paul Chi-Chi, 1999 the of motions [Hug80] rotational Ground Huang. Bor-Shouh [Hud96] [Hua03] + Dn .Hmhe,Nta hte,JmsWae,KnehRce,adTii .Csrv.Tire Cosgrove. A. Tricia and Recker, Kenneth Weaver, James Whetten, Nathan Humphrey, N. Dana 98] tion. waves. 2001. SH incident to interface soil-structure ora fGoehia Engineering Geotechnical of Journal 1987. Inc., Hall Prentice uut19.1998. III 1998. Dynamics August Soil editors, and Holtz, Engineering D. Robert and Yegian, waves. P incident obliquely under media. porous Engineering saturated in of problems dynamic for procedures analysis. plastic Elton, J. barriers. David periodic and of Vipulanandan C. In walls. retaining and embankments for editors, fill lightweight as shreds chanics constituents. compressible with buildings. of assessment performance-based 2009. 137(3):311–321, for motions ground 2010. 10.1002/eqe.1038:1–22, DOI: — 2010 SEP 20 structures. nuclear safety-related isolated 2000. concrete. 977, and soil between contact time. 1999. media. 1996. 28(4es):196, observations. array dense iieeeet naayi n design and analysis in elements Finite SEJunlo niern Mechanics Engineering of Journal ASCE 34:2–4,2009. 33(4):425–447, , nentoa ora o ueia ehd nEngineering in Methods Numerical for Journal International rceig fteGoCnrs 98 Geo–Congress the of Proceedings 19:4115,Sp 2004. Sep. 61(9):1421–1450, , nentoa ora o ueia ehdi Engineering in Method Numerical for Journal International ora fEgneigMechanics Engineering of Journal h iieEeetMto ierSai n yai iieEeetAnalysis Element Finite Dynamic and Static Linear ; Method Element Finite The epyia eerhLetters Research Geophysical nentoa ora o ueia n nltclMtosi Geome- in Methods Analytical and Numerical for Journal International etcnclSeilPbiainN.7,pgs12–04 ASCE, 1020–1044. pages 75, No. Publication Special Geotechnical , unligadUdrrudSaeTechnology Space Underground and Tunnelling optrMtosi ple ehnc n Engineering and Mechanics Applied in Methods Computer 2()4446 1996. 122(6):474–486, , rceig faSeilyCneec:Goehia Earthwuake Geotechnical Conference: Specialty a of Proceedings atqaeEgneigadSrcue Dynamics Structures and Engineering Earthquake p ()1916 1990. 7(2):159–166, , vrino h nt lmn ehdi nrmna elasto– incremental in method element finite the of –version ae 16.GoIsiue SE 82 coe 1998. October 18-21 ASCE, Institute, Geo 51–65. pages , olDnmc n atqaeEngineering Earthquake and Dynamics Soil 1:5–7,1986. 112:154–174, , 4()0005,2021. 147(2):04020150, , 06,2003. 30(6), , nentoa ora o ueia Methods Numerical for Journal International C optn uvy (CSUR) Surveys Computing ACM ae 4311,1980. 1413–1418, pages , ora fSrcua Engineering Structural of Journal eso:2.Ags,22,15:04 2021, August, 26. version: 915–88 1996. 39:1859–1878, , 12–9 2017. 61:26–39, , 3104 of 2993 page: 21(7):603–613, , al View: Early , 190:963– , ASCE . , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et D .Igrol .J ogtn .Bom n .Dsots nerto fNSaeSRwt desali- with SMR NuScale of Integration Desportes. C. and Bromm, R. Houghton, technique J. verification Z. code-independent Ingersoll, A T. analysis: D. verification External Hixon. Ray and Ingraham Daniel a from axes: principal Igel. in Heiner [IHBD14] plasticity deformation Finite Gharzeddine. Fadi and [IH13] concrete Ibrahimbegovic reinforced Adnan of analysis element finite [Ige17] resultant Stress Fran¸cois Frey. Ibrahimbegović 1012-2004, and Adnan std. IEEE validation, and verification constitutive software II for – standard media [IG99] IEEE reacting chemically Board. of Standards theory by IEEE-SA continuum generated A Eringen. values Cemal spectral A. and horizontal Ingram [IF93] the D. John estimating for model empirical NGA-West2 An [IEE04] Idriss. IM non- SDOF of assessment shape-based Spectral [IE67] Cosenza. Edoardo and Luca, De Flavia oscillator-structure Iervolino, including Iunio spectra 155, [Idr14] response Bulletin floor of Report Generation Kiureghian. Technical der Armen and engineering. Igusa Takeru dam in models numerical [IDLC10] of use for Guidelines ICOLD. [IdK85] Internationale Commission 94, Bulletin Report Technical validation. dams. for software Computer ICOLD. [ICO13] [ICO94] elastoplasticity deformation finite of descriptions material and spatial Equivalent Ibrahimbegoviffl. Adnan [I [Ibr94] Dre .Ic,Lsi atn n onGaa-umn.Tecs o pncmue programs. computer open for case The Graham-Cumming. John and Hatton, Leslie Ince, C. Darrel [IHQ [IHGC12] plates. thin and thick of during analysis potential for liquefaction elements evaluating finite for Quadrilateral Ibrahimbegović. procedures Adnan Semi-empirical Boulanger. RW and Idriss IM meth- element finite Galerkin of [Ibr93] estimation error and analysis Babuˇska. Ivo Dispersion and Ihlenburg Frank [IB06] [IB95] KniIhhr n Miˇsko and Ishihara Kenji C98] ˇ + T ciua .Hr,P .Qia,M .L ieahe .Szk,adS ouh.Comprehensive Noguchi. S. and Suzuki, T. Wijerathne, L. L. M. Quinay, E. P. Hori, M. Ichimura, T. 11] aintcnlge.In technologies. nation codes. pde unsteady for setting. Engineering euclidean and the to manifold plates. 2004. December mixtures. fluid reacting of equations earthquakes. crustal shallow accelerograms. artificial and adjusted 2010. real, to response linear avenue 61, interaction. Dams, Large on Committee International 2013. Barrages, France, Paris, Grands Kléber, 75116 des Internationale Commission France, Paris, Kléber, 75116 avenue 61, Dams, Large on Committee 1994. International Barrages, Grands editors, des 1998. Holtz, 1998. D. August ASCE, Robert III 301–312. and Dynamics pages Soil Yegian, 75, and Mishac No. Engineering Publication Earthwuake Dakoulas, Geotechnical Panos Conference: In Specialty earthquake. ing axes. principal in 01—DI 010/q.18:7 2011. 10.1002/eqe.1158):17, DOI: — 2011 2014. 15-17 April USA, D.C. Washington Engineering and Mechanics Applied in Methods 1995. 3774, ueia nlsso al-tutr ytm optto ftelresaesimcsrcua response structural seismic –. large-scale scenario the earthquake of given computation – a systems to fault-structure of analysis numerical Nature earthquakes. equaion. Helmholtz the for ods 8:8–8,Fbur 2012. February 482:485–488, , niern Computations Engineering atqaeEgneigadSrcua Dynamics Structural and Engineering Earthquake opttoa esooy rcia Introduction Practical A Seismology: Computational olDnmc n atqaeEngineering Earthquake and Dynamics Soil 5:4–6,1999. 159:341–369, , nentoa ora fSld n Structures and Solids of Journal International rcdig fteAM 04SalMdlrRatrSmoim SMR104 Symposium, Reactor Modular Small 2014 ASME the of Proceddings ora fCmuainlPhysics Computational of Journal urnvk.Polm soitdwt iufcinadltrlsraigdur- spreading lateral and liquefaction with associated Problems Cubrinovski. ˇ atqaeSpectra Earthquake nentoa ora o ueia ehd nEngineering in Methods Numerical for Journal International 01–0 1993. 10:15–30, , atqaeEgneig&Srcua Dynamics Structural & Engineering Earthquake nentoa ora o optrMtosi ple Mechanics Applied in Methods Computer for Journal International nentoa ora fEgneigScience Engineering of Journal International 1:9–0,1993. 110:195–209, , 03:1517,2014. 30(3):1155–1177, , 62:1–3,2006. 26(2):115–130, , 4:65,2013. 243:46–57, , 36166 1985. 13:661–676, , niern Structures Engineering 12)32–00 1994. 31(22):3027–3040, , xodUiest rs,2017. Press, University Oxford . eso:2.Ags,22,15:04 2021, August, 26. version: :8–2,1967. 5:289–322, , etcnclSpecial Geotechnical , al iw2 AUG View(25 Early , 3104 of 2994 page: 32(9):2776–2792, , rceig fa of Proceedings 38:3745– , Computer , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et W ai are I.Gob,Hzn el Kozeny–Carman. hello Hazen; Goodby, input III. an Carrier on David W. based interaction soil-building for method finite-element Three-dimensional Iida. Masahiro [III03] [Iid12] MkalIso.O h hoyo orhodrtnosadterapiain ncmuainlmechanics. computational in applications their and tensors fourth-order of theory the On Itskov. Mikhail building of effects (pfc3d). interaction 3D soil-structure Coupled Code Bielak. Flow Jacobo Particle and Taborda, Inc. Ricardo Group, Isbiliroglu, Yigit Consulting Itasca [Its00] properties geotechnical in uncertainty and variability inherent of review State-of-the-art 9001:2015 ISSMGE-TC304. [ITB15] ISO of application the for guidelines – [Ita] engineering software 90003, ISO/IEC/IEEE ISO-90003. Sun. [ISS21] I. J. and Idriss elements. M. finite I. based [ISO18] brick for rules rock. Quadrature porous in Irons. bands M. compaction of Bruce Theory Rudnicki. W. J. and High-modulus Issen [IS92] A. Durgunoglu. K. Turan H. and Mitchell, K. [Iro71] James Olgun, Guney C. II, Martin Commission R. [IR01] Electrotechnical James Inc. International Council, and Code (ISO) International Standardization for Organization International [IOMD04] [Int15] [Int] work Inel. characteristic Sinan II part sand. for model Inc. hardening MapQuest kinematic [INM Rotational half-space. Lade. elastic V. an Poul on and foundations rectangular Inel flexible Sinan of [Ine92] response Dynamic Luco. E. J. and [Inc02] Iguchi M. plasticity. of postulate the On drying. [IL97] Il’Iushin. salami AA of simulation Computer Környey. T and [IL81] Imre L. International (ISO), [Il’61] Standardization for Organization International Developers, 90003 ISO/IEC/IEEE [IK90] [IIII18] + YsiaaIhhr,NoioNkmr,HrsiMrtn,BugynCo,adAeiNsia DFEM 3D Nishida. Akemi and Choi, Byunghyun Moritani, Hiroshi Nakamura, Naohiro Ichihara, Yoshitaka 21] iomna Engineering vironmental field. wave 2015. 1992. Angeles, Los California, of Universtity optrMtosi ple ehnc n Engineering and Mechanics Applied in Methods Computer earthquakes. during clusters Schweckendiek. Timo and Ching Jianye Editors: 2021. ISSMGE, TC304, report, Technical models. and 2018. ISO, 90003:2018(E), ISO/IEC/IEEE Report Technical California software. of computer University to Engineering Environmental & Deposits Civil Soil of Layered 1992. California, Horizontally Department Davis, of Modeling Analyses Geotechnical Response for Seismic Linear Equivalent Conducting Engineering in Methods Geodesy and Earth Solid A: Part Earth, the 2004. 130(6):561–571, mitigation. liquefaction for columns iso/iec-14772-1:1997. standard VRML (IEC). separation soil considering plant power nuclear sliding. Kashiwazaki-Kariwa and for analysis interaction soil-structure predictions. and law hardening Dynamics Structural and Engineering Earthquake 1961. 752, Engineering in Methods 9001:2015 ISO of applicaiton for software (IEEE). Guidelines - Engineers computer Engineering Electronics to Software and 90003, Electrical ISO/IES/IEEE of Standard Institute tional and (IEC), Commission Electrotechnical nentoa ora fGeomechanics of Journal International ieai adnn oe o adBhvo uigLreSrs Reversals Stress Large During Behavior Sand for Model Hardening Kinematic rnir nBitEnvironment Built in Frontiers http://www.mapquest.com/ S/E/EE rteiin21-1eiin oebr2018. November edition, 2018-11 edition first ISO/IEC/IEEE, . ()2324 pi/ue1971. April/June 3(2):293–294, , 1990. 30:767–777, , 2(1:0415,2003. 129(11):1054–1056, , xepsfo SRSMna o HK9:ACmue rga for Program Computer A SHAKE91: for Manual USER’S from Excerpts atqaeSpectra Earthquake optr n Geotechnics and Computers 05ItrainlBidn Code Building International 2015 SEJunlo etcncladGoniomna Engineering Geoenvironmental and Geotechnical of Journal ASCE :4 2021. 7:94, , 612:510 2001. 26(1–2):95–100, , ora fApidMteaisadMechanics and Mathematics Applied of Journal nievrin 2002. version, Online . 11:6–0,2015. 31(1):463–500, , ()2929 1981. 1 9(3):239–249, , 34:3–4,2012. 13(4):430–440, , 8:1–3,2000. 189:419–438, , 13:1–3,1997. 21(3):217–234, , SEJunlo etcncladGeoen- and Geotechnical of Journal ASCE nentoa ora o Numerical for Journal International nentoa oeCucl Inc., Council, Code International . nentoa ora o Numerical for Journal International eso:2.Ags,22,15:04 2021, August, 26. version: hsc n hmsr of Chemistry and Physics 3104 of 2995 page: h thesis, PhD . 25(3):746– , Center . Interna- , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et Sn u e onSkCag n ugSkKn.Dnmccaatrsisassmn fratrvessel reactor of assessment characteristics Dynamic Kang. materials. Sung-Sik anisotropic and Chang, of Yoon-Suk Je, hyperelasto–plasticity Yun soils. deformation Sang liquefied large in On piles Cheng. of Zhao simulations Jeremić and and Boris modeling Numerical Cheng. [JCK17] Zhao hyperelasticity. Jeremić and computational in Boris stretches principal equal of Significance strains. Cheng. [JC09b] Zhao small Jeremić and Boris at soils coarse–grained of Stiffness Models. Constitutive Coop. [JC09a] Elastoplastic R. Joviˇcić General M. V. Bazant. and P. Z. and Jirasek M. [JC05] [JC97] [JB01] BrsJrm´,Za hn,MhiTibt n ansF aais ueia iuaino fully of simulation Numerical Dafalias. F. Yannis and Taiebat, UCD Mahdi for Cheng, (API) Zhao Jeremić, Interface Boris Programming Application Tafazzoli. Nima and Cheng, Jeremić, Zhao Boris [JCTD08] [JCT09] Jasak. viscoelastic non-linear Hrvoje the for parameters of assessment experimental [JASZ and Theoretical Jankowski. Robert restitu- of coefficient the and ratio [Jas96] damping impact the between expression Analytical Jankowski. Robert pounding. structural [Jan07] earthquake-induced of modelling viscoelastic Non-linear state. Jankowski. critical Robert and pound- structural strength earthquake-induced of peak assessment [Jan06] damage of for spectrum study force Impact micro-mechanical Jankowski. Robert A Andrade. José E. [Jan05b] and Jerves X. Alex [Jan05a] [JA16] MM odceadK ilm lsolsi iucto nCsea otna nSenSue editor, Sture, Stein In continua. Cosserat in bifurcation Elastoplastic Willam. K. shear and Iordache soil of M-M. Determination Umenge. [IYF Ignatius Joseph and for Udoh, technologies Edem retrofitting Ndifreke seismic Ilori, on Olujide study Abidemi Joint Fukui. [IW95] Jiro and Umebara, Takeshi Ishida, Masahiro finite membrane quadrilateral robust [IUU17] A Wilson. L. Edward and Taylor, L. Ibrahimbegović, Robert Adnan [IUF03] [ITW90] + Khr iaa tuh ohyk,KhiFjt,Tuoh ciua ioh oiaa n ue Hori. Muneo and Morikawa, Hitoshi Ichimura, Tsuyoshi Fujita, Kohei Yoshiyuki, Atsushi Iiyama, Kahori 19] + BrsJrm´,Kai lSil,Rnn hn,RySasn n ti tr.Sai n dynamic and Static Sture. Stein and Swanson, Roy Zhang, Runing Al-Shibli, Jeremić, Khalid Boris 94] 1997. nenl ihfli-tutr interaction. fluid-structure with internals Engineering in Methods Numerical in Communications Engineering Earthquake and Dynamics Engineering in Methods Numerical in Communications NAS8- Contract: Center, Flight Space Marshall 1994. NASA February Boulder, to at Report Colorado of specimens. University triaxial 38779, MGM of testing uk niern n tutrlDynamics Structural and Engineering quake auae oosmaterials. porous saturated Sources_and_API libraries. CompGeoMech 1996. Medicine, and Technology Science, of College Imperial thesis, pounding. structural of model pounding. structural of model viscoelastic Dynamics non-linear the in tion ing. Geomechanics in Methods Analytical and Numerical nag.2478. for Journal International 2019. 21)13–60 2008. 32(13):1635–1660, un- under model resolution high using geometry. estimation boundary amplification stratum soil for of method certainty based point-estimate A fCvlEgnes a 1995. May Engineers, Civil of apparatus. Conference 10th box of shear Proceedings direct a using interface concrete to soil Geo-Engineering a on properties In foundations. existing freedom. of 1990. degrees 30:445–457, drilling with element e niern Materials Engineering Key 55754 2006. 35:517–524, , ro nlssadetmto o nt ouemto ihapiain ofli flow fluid to applications with method volume finite for estimation and analysis Error ()1,2017. 8(1):17, , 2009. , h t nentoa okhpo Micropiles on Workshop International 6th The http://sokocalo.engr.ucdavis.edu/~jeremic/research/index.html# nentoa ora o ueia n nltclMtosi Geomechanics in Methods Analytical and Numerical for Journal International ora fTertcladApidMechanics Applied and Theoretical of Journal 9-9:1–1,2005. 293-294:711–718, , ae 2–2.EgneigMcaisDvso fteAeia Society American the of Division Mechanics Engineering 525–528. pages , nPit 2009. Print, in , ula niern n Technology and Engineering Nuclear nentoa ora o ueia ehd nEngineering in Methods Numerical for Journal International olDnmc n atqaeEngineering Earthquake and Dynamics Soil 45561 2005. 34:595–611, , 54:9–0,2009. 25(4):391–400, , 2005. September 21(9):477–486, , atqaeEgneigadStructural and Engineering Earthquake 2003. , eso:2.Ags,22,15:04 2021, August, 26. version: nls.Aa.Struct. Anal. Inelast. 54:3–4,2007. 45(4):931–942, , 2017. , 08:1410,2016. 40(8):1184–1202, , Gétechnique nentoa ora of Journal International 3104 of 2996 page: 2:8 490, – 121:480 , 3:545–561, , 2001. , Earth- PhD . Soil , , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et BrsJrm´ n tal. et Jeremić and Boris interaction soil-pile-structure soils. the subgrade of Effect of Jenck. properties Orianne Soil-moisture and López Dias, Jiménez, A. Daniel Dempsey. Guillermo J B and Janssen [Jea21] J D Zimmerman. R.W. and [JDJ19] Cook, N.G.W. Jaeger, J.C. [JD81] Whittaker. Andrew and Coleman, Justin Jeremić, Boris [JCZ07] [JCW12] BrsJrm´.Rpr oteU-O o rjc:Amdr opttoa rmwr o h nonlinear the for framework computational modern A R444.2, project: Report for Technical US-DOE the to analysis. Jeremić. Report soil-structure Boris for tools analytical of Development In Jeremić. design. Boris by dissipation energy interaction: sfs of [Jer20] simulation and modeling fidelity Jeremić. High Boris [Jer16] earth- geotechnical for for visualization and geomechanics. simulations computer in in computations developments Jeremić. Recent element Boris finite [Jer10] elastic–plastic in techniques search Line Jeremić. Boris of University 2132000-3, – [Jer01c] PEER Report Technical opensees. in capabilities Griffiths Jeremić. Geotechnical V. Boris D. Fenton [Jer01b] A. Gordon In analysis. stability slope 3D for methods element Jeremić. Finite Boris [Jer01a] Jeremić. Lecture Boris mechanics. thesis, continuum Master’s in Applications implementation. computations: numerical and [Jer00] oriented Theory Jeremić. Object Boris plasticity: in rules integration [Jer97] Implicit Jeremić. Boris [Jer96] ( Jeremić. Serbian. Boris in Kragujevac, group, PAK to Report [Jer94] structures. in effects Nonlinear Jeremić. Boris [Jer93] finite the by loading non-symmetric to subjected solids [Jer92] axisymmetric unloading. of in analysis Jeremić. softening Dynamic Boris isotropic and work Plastic Jefferies. Mike [Jer89] [Jef97] Record 2007. tutrsadterInteraction URL: their and Structures soils. liquefiable of case analysis: seismic in 2012. Engineers, Civil of Society American Structures lsolciy eeec aulUiest fClrd tBudr eebr1993. December Boulder, at Colorado of University Manual Kragujevac Reference Elastoplactity, PAK, Grupi Izvextaj Konstrukcijama: u 1992. Efekti May Nelinearni Jeremi sso ula aiiisadsses 0522.TcnclRpr C-opehOt00 UCDavis, anal- UCD-CompMech-Oct2020, and Report Technical development system 2015-2020. Simulator systems, 2020. Real-ESSI and October the facilities systems; nuclear and of facilities ysis nuclear of analysis seismic sûreté de 2016. canadiene Canada, nucléaire, Comission Ottawa, – Commission Safety Nuclear Canadian 2010. Group, Francis & Taylor editors, Press, Pender, CRC Michael 125–132. and Chouw, pages Nawawi Orense, P. Rolando editor, Engineering Zeng, Geotechnical Xiangwu in In Simulations Earthquake problems. engineering quake Engineering in Methods Numerical in Communications at available 2001. September CA, Richmod, Center, Research http://sokocalo.engr.ucdavis.edu/OpenSees/report01.pdf Engineering Earthquake Pacific California, 2000. Institute, Geo 224–238. pages editors, Martin, R. Timothy and 1997. 1996. July Boulder, October at Boulder, Colorado at Colorado of Universtity series, seminar Engineering Geotechnical the for 1994. May Boulder, at Colorado of University Beogradu u Elemenata Univerziteta Konaqnih Fakultet Serbian. Metodom in 1989. Optereeǌima july Universtity, metriqnim Belgrade Engineering, Civil of ( Faculty thesis,, Diploma method. element oi eei iaik nlz oain ierqi eaotrnhNesi- optereenih Tela Simetriqnih Rotaciono Analiza Dinamiqka Jeremi Boris http://sokocalo.engr.ucdavis.edu/~jeremic/LectureNotes/ 9:16,1981. 790:61–66, , hpe olna ieDmi olSrcueItrcinAayi.AC--02 ASCE, ASCE-4-2012. Analysis. Soil-Structure-Interaction Time-Domain Nonlinear chapter , n iieDfrainHprlsoPatct fGeomaterials of Hyperelasto–Plasticity Deformation Finite D array rgamn ol betOine praht ueia opttosin Computations Numerical to Approach Oriented Object tool. programming olna iieEeet:Mdln n iuaino atqae,Soils, Earthquakes, of Simulation and Modeling Elements: Finite Nonlinear efPbihd nvriyo aiona ai,C,UA 1989-2021. USA, CA, Davis, California, of University Published, Self . etcnclSeilPbiain,N.101 No. Publications, Special Geotechnical . caGeotechnica Acta aeWsenRsreUiest,2001. University, Reserve Western Case . udmnaso okmechanics rock of Fundamentals 72:1–2,Jnay2001. January 17(2):115–125, , rceig fteItrainlWrso on Workshop International the of Proceedings esi nlsso aeyRltdNuclear Safety-Related of Analysis Seismic 410–55 coe 2019. October 14:1509–1525, , Géotechnique olFudto-tutr Interaction Soil-Foundation-Structure . , ilmk Rad Diplomski eso:2.Ags,22,15:04 2021, August, 26. version: oueSoeSaiiy2000, Stability Slope volume , . h hss nvriyof University thesis, PhD . 75,1997. 47(5), , rnprainResearch Transportation 3104 of 2997 page: lcwl Pub., Blackwell . Graevinski Boris ), , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et Xadn i rgr evs oih aiaa n aaoh aahm.Simcdmg detection damage Seismic Nakashima. Masayoshi and analysis. Kajiwara, stress Kouichi plane Fenves, in L Gregory elastoplasticity Ji, for Xiaodong algorithm integration Implicit Jetteur. Philippe [JFKN11] [Jet86] BrsJrm´ n unhuJe aallsi–onainsrcuecmuain.I ..Lagaros N.D. In computations. soil–foundation–structure Parallel Jie. Guanzhou Jeremić and Boris opensees. [JJC parallel soil–foundation— for computations element decomposition finite Parallel report: Short domain elastic–plastic Jie. Guanzhou Jeremić[JJ08] parallel and Boris for Plastic method decomposition domain Plastic Jie. Jie. Guanzhou Guanzhou and Jeremić [JJ07b] Boris ge- and computational parallel Jeremić in method Boris decomposition domain plastic The Jeremić. Boris and [JJ07a] Jain Ritu localization. strain of analysis [JJ05] Mathematical Jirásek. Milan [JJ04] [Jir07] Benjamin In grains. extended spatially of materials Shearing Grønbech-Jensen. tests. Niels penetration Jeremić and cone Boris on based identification soil Probabilistic Biscontin. G. and Gardoni, P. Jung, B.-C. [JGJ02] [JGB08] [JFN BrsJrm´,Gazo i,Mtha rii,adNm aazl.Tm oansmlto fsoil– of simulation domain Time Tafazzoli. Nima and structure Preisig, foundation Matthias soil Jie, of Jeremić, Guanzhou detriments Boris and Benefits Preisig. Matthias and Jie, Jeremić, Guanzhou Boris [JJPT09] [JJP07] localization. strain of modeling Objective Jirásek. Milan discontinuities. strong of modeling Jirásek. Numerical Milan buildings. existing of rehabilitation in issues Divergent [Jir02b] Jirsa. O. James [Jir02a] López Jiménez. block Alfonso sliding Guillermo newmark’s using displacements landslide earthquake-induced Predicting [Jir94] Jibson. W. Randall Holtz. G W and [Jim19] Jones E D [Jib93] [JH73] + + BrsJrm´,Gazo i,Za hn,Nm aazl,PngoaTsoolu eeioPisanò, Federico Tasiopoulou, Panagiota Tafazzoli, Nima Cheng, Zhao Jie, Jeremić, Guanzhou Boris 21] Jh .Jkmn ainFazln klNryn ihe lrd n ikPfue.Plnma chaos Plfüger. Polynomial Dirk and Eldred, Michael Narayan, Akil Franzelin, Fabian Jakeman, D. John 19] fafl-cl hkn al etstructure. test table shaking full-scale a of Computations 2007. .Ppdaai,DC hrpsadY smaai,editors, Tsompanakis, Engineering Y. Earthquake and Charmpis D.C. Papadrakakis, M. California, of online: University CV-R23.pdf available UCD–CompGeoMech–02–07, Report 2007. Technical Davis, problems. interaction structure Univer- online: available UCD–CompGeoMech–03–07, Report 2007. Technical Davis, wwwpublications/CV-R24.pdf California, gomechanics. of in sity computations element finite 2004. February | Davis, California, of University 02-2004, UCD-CGM Report Technical omechanics. 2002. editors, Jensen, Richard and Cook Géotechnique 2019. 666, – variables. 351:643 random dependent for expansions o´ noi bl,KhiWtnb,Ya eg uetKmrSna aea ebhn,Han Behbehani, Fatemah Sinha, Kumar Sumeet Feng, Yuan Wang. Hexiang Watanabe, and Yang, Kohei Abell, José Antonio 1994. onainsrcueitrcini o–nfr soils. non–uniform in interaction foundation–structure In interaction. http://real-essi.us/ 2002. 2019. Alpes, Université Grenoble thesis, 1993. PhD Council, Research National 1411, Record Research Transportation report, Technical analysis. 1973. 85:9–1,2009. 38(5):699–718, tp/skcl.nrudvseu eei/D/,Nvme 2005. November jeremic/PDD/—, http://sokocalo.engr.ucdavis.edu/ . 87:8–9,2008. 58(7):581–590, , :5–5,1986. 3:251–253, , GeoDenver alradFacsPbihr,2008. Publishers, Francis and Taylor . . 2007. , h elES iuao System Simulator Real-ESSI The xasv ol-h idnDisaster Hidden Soils-The Expansive http://sokocalo.engr.ucdavis.edu/~jeremic/wwwpublications/ . r nentoa ofrneo iceeEeetMethods Element Discrete on Conference International 3rd ttcaddnmcbhvo fpl upre tutrsi otsoil soft in structures supported pile of behavior dynamic and Static ora fSrcua Engineering Structural of Journal optrMtosi ple ehnc n Engineering and Mechanics Applied in Methods Computer http://sokocalo.engr.ucdavis.edu/~jeremic/ atqaeEgneigadSrcua Dynamics Structural and Engineering Earthquake eu rncied génie civil fran¸caise de Revue nvriyo aiona ai,1988-2021. Davis, California, of University . eu rncied génie fran¸caise civil de Revue eu rncied génie civil fran¸caise de Revue rgesi opttoa yaisand Dynamics Computational in Progress ainlEegnyTann Center, Training Emergency National . atqaeSpectra Earthquake eso:2.Ags,22,15:04 2021, August, 26. version: 3()1–1 2011. 137(1):14–21, , 3104 of 2998 page: 10(1):95–113, , 6:1119–1132, , 6:1133–1146, , 11:977–991, , Engineering 2002. , , . , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et BrsJrm´,SsiKnah n ioh .Acea seseto esi nu n olstruc- soil and input seismic of Assessment Ancheta. D. Timothy and Kunnath, Jeremić, Sashi Boris [JKK properties geotechnical in uncertainty of Estimation Arduino. Pedro and Kramer, L. Steven Jones, L. Allen Smith. [JKA11] A. K. and Johnson, T. R. Johnson, W. D. [JKA02] [JJS98] C ono.Amxdfiieeeetmto o lsiiypolm ihhardening. with problems plasticity for method element finite mixed Laboratories, A Bell AT&T Johnson. report, C. Technical compiler-compiler. another Yet Yacc: Johnson. C. Stephen [Joh77] geome- computational in computers parallel cluster of [Joh75] Performance Makles. Kevin Jeremić and ariane. Boris of lessons The contract: by Design Meyer. [JMP implementation. Bertrand and and Jazequel formulation J-M horizontal solid–fluid inner coupled, an Fully with tank Wu. [JM00] a Xiaoyan in and sloshing Liu, on Jeremić, Qing study Boris Experimental Li. Hua-Jun and [JM97] Liu, Yong wood-frame in Jin, damping Heng on review State-of-the-art Charney. A. Finley and [JLW04] Line, Philip Jayamon, R. Jeena analysis. interaction soil-foundation-structure for method reduction Domain [JLL14] Liao. Jeremić Jinxiu Boris and In embankments. of [JLC18] analysis Stability Lowe. John III [JL04] response seismic on interaction soil–structure of on Influence interaction Xiong. Feng soil–foundation–structure and of Kunnath, Jeremić,Boris Sashi Influence Xiong. [JL69] B.K.Dutta, Feng In and Kunnath, Simulator. Jeremić, Sashi ESSI Boris NRC The [JKX04b] Kamrani. B. and Tafazzoli, N. Kammerer, Jeremić, A. [JKX04a] B. equation. fokker–planck soil–foundation–structure of the benefits/detriments of On formulation Preisig. Matthias variational and The Kunnath, Jeremić, Sashi Boris Otto. [JKTK11] F. and Kinderlehrer, D. Jordan, R. [JKP06] [JKO98] [JKK + + + Mhs oh,Gog ayi,VpnKmr nhlGpa n rdGustavson. Fred and Gupta, Anshul Kumar, Vipin Karypis, George Joshi, Mahesh 98a] Mhs oh,Gog ayi,VpnKmr nhlGpa n rdGustavson. Fred and Gupta, Anshul Kumar, Vipin Karypis, George Joshi, Mahesh 98b] LsAG iecutJ. sad .Mnoi li ..Paee,EuroA orge,adTi N. Tlio and Rodrigues, A. Eduardo Prazeres, G.C. Plnio Manzoli, L. Osvaldo Jr., Bitencourt A.G. Lus 15] akg o attoigUsrcue rps attoigMse,adCmuigFl–eue Order- Fill–Reduced Computing Matrices and Sparse Meshes, Safety of Partitioning ing Graphs, Nuclear Unstructured Canadian Partitioning for report, Package Technical foundations. sûreté 2011. de large Canada, canadiene nucléaire, Ottawa, embedded, Comission – deeply Commission for interaction Earthquake ture Pacific 2002/16, PEER Report 2002. Technical Dec. Center, Research engineering. Engineering earthquake performance-based for 1998. edition, 2 MN, Edina, Co., Book Interaction ueia Analysis Numerical meshes. element Engineering finite and non-matching Mechanics for technique coupling A Bittencourt. 1997. Manual User Systems; Linear Definite Positivie Symmetric Sparse for 1.0) Library (version Solver Direct Parallel able uryHl,NwJre 77,1975. 07974, Jersey New Hill, Murray chanics. 2004. March Davis, California, of University 02-2004, UCD-CGM Report Technical plate. perforated structures. wall shear 2004. January Davis, California, of University 01-2004, UCD-CGM Report Technical 1969. August 2004. ments February 26(3):391–402, Structures, Engineering for Journal International bridges. of viaduct. i-880 the of response seismic 550. # Paper editor, structures. simple 2006. of review, behavior In dynamic to interaction Analysis Mathematical on Journal SIAM ae –5 olMcaisadFudtosDvso,Aeia oit fCvlEngineering, Civil of Society American Division, Foundations and Mechanics Soil 1–35. pages , rceig fte2s MR Srcua ehnc nRatrTcnlg)Conference Technology) Reactor in Mechanics (Structural SMiRT 21st the of Proceedings SEJunlo optn nCvlEngineering Civil in Computing of Journal ASCE nvst fMneoaadIMToa .Wto eerhCne,1998. Center, Research Watson J. Thomas IBM and Minnesota of Univesity . ca Engineering Ocean 44:7–8,Spebr1977. September 14(4):575–583, , ora fSrcua Engineering Structural of Journal nvriyo inst n B hmsJ asnRsac etr 1998. Center, Research Watson J. Thomas IBM and Minnesota of University . 9()1 4 2015. 44, – 290(0):19 , 27–4 2014. 82:75–84, , niern Structures Engineering 91: 7 1998. 17, – 29(1):1 , cieLann:Coeaini h olg Classroom College the in Cooperation Learning: Active tblt n efrac fSoe n Embank- and Slopes of Performance and Stability nentoa ora o niern Structures Engineering for Journal International 4(2:3103 2018. 144(12):03118003, , 00 ob umte,Ags 2000. August submitted, be To 2000. , 63:9–0,2004. 26(3):391–402, , eso:2.Ags,22,15:04 2021, August, 26. version: optrMtosi Applied in Methods Computer Computer 3104 of 2999 page: EI:ASoftware A METIS: IMJunlof Journal SIAM SAE:Scal- PSPASES: 30(1):129–130, , 2011. , . , Jeremićet al., Real-ESSI SINotes ESSI eeice l nvriyo aiona Davis California, of University al. Jeremić et Vja Joviˇcić.Vojkan Jostad. Peter Hans Technical 1994 Winter USENIX [Jov97] the Jones. of Edward Reese Proceedings WTEC’94 objects. the [Jos93] Objecting Johnson. Steve Johnson. Langstreth [Jon98] Kenneth [Joh94] [Joh87] RJ adn,D ot,A ore n BBrad tde fteiflec fnnlna stress–strain non-linear of influence the of Studies Burland. method JB FETI and partitioned Fourie, algebraically AB Potts, An DM Jardine, Felippa. Jl A. R Carlos and Park, [JPY C. K. JR., Justino R. simula- Manoel and modeling [JPFB86] interaction soil–foundation–structure Inelastic Preisig. Matthias Jeremić and Boris modeling Numerical interaction: soil–foundation–structure Seismic transition. consolidation Preisig. [JPF97] the Matthias Jeremić and and Boris waves slow Acoustic Plona. J. Thomas and [JP06] Johnson Linton David [JP05] [JP82] BrsJrm´,KnehRnso,adSenSue dacddt bet nfiieeeetprogramming. element finite in objects data Advanced Sture. Stein and Runesson, Jeremić,Boris Kenneth geoma- of analysis elastoplastic deformation Large Sture. Stein and [JRS98a] Runesson, Jeremić, Kenneth coupled Boris of hyperelasto–plasticity deformation Finite Sture. Stein and algo- Runesson, Jeremić, integration Kenneth Boris constitutive deformation Finite [JRS97f] Sture. Stein and Runesson, Jeremić, Kenneth Boris [JRS97e] materials sensitive pressure of analysis Elastoplastic Sture. Stein and Runesson, Jeremić, Kenneth Boris [JRS97d] materials sensitive pressure of analysis Elastoplastic Sture. deformation Stein [JRS97c] and large Runesson, of Jeremić, Kenneth Boris implementation of Aspects Sture. Stein and Runesson, Jeremić, Kenneth Boris [JRS97b] [JRS97a] [JRP + + Jc ejmnadAscae n. P tutrlMcaisCnutn,Pcad oeadGarrick, and Lowe Pickard, Consulting, Mechanics Structural RPK Inc., Associates and Benjamin Jack 91] BrsJrm´,JmsPta,ZahiYn,Klo et ixuLa,adGazo i.Erhuk re- Earthquake Jie. Guanzhou and Liao, Jinxiu Sett, Kallol Yang, Zhaohui Putnam, Jeremić, James Boris 04] nvriyo aiona ekly 1998. Berkeley, California, of University h owga nttt fTcnlg,Goehia iiin uut1993. August Division, Geotechnical Technology, of Institute Norwegian The 1994. september Conference, Technical 1994 Winter USENIX Conference, ora fteAosia oit fAmerica of Society Acoustical the of Journal 1997. February London, of University City hrceitc nsi–tutr interaction. soil–structure in characteristics evaluation. Performance Engineering analysis: structural parallel for tions. In issues. clMtosi Engineering in Methods ical California, of University report, Technical shreds. 2004. tire with May constructed Davis, backfills abutment bridge of sponse In 1997. November Geomechanics Publishers, in editor, Balkema Advances Yuan, and A. Jian-Xin Methods A. Computer In pages. for 6 Association predictions. The numerical of Conference to International experiments From terials: systems. solid–fluid materials. Engineering non–isotropic for rithm CM539. SEE Engineering DUPLICATE deformations. of publication large Society to the subjected and Engineers Civil of Society American Engineers, Science Mechanical In of deformations. Society large to subjected Institute analysis. Research element Power finite in Electric hyperelasto–plasticity plant NP-6041-SL, power nuclear EPRI of Report assessment Technical for methodology 1991. A 1). August (EPRI), Inc. (revision Services margin Company seismic Southern and Idriss, I.M. oenSfwr ol o cetfi optn SciTools’98 Computing Scientific for Tools Software Modern olDnmc n atqaeEngineering Earthquake and Dynamics Soil 97 nie Paper. Invited 1997. , SESrcue Congress Structures ASCE 023–78 1997. 40:2739–2758, , 97 npreparation. In 1997. , h esrmn n nepeaino ml tanSins fSoils of Stiffness Strain Small of Interpretation and Measurement The iucto nlsso rcinlMaterials Frictional of Analysis Bifurcation npreparation In il-iie arnemlile omlto o rcinlcontact frictional for formulation multiplier Lagrange yield-limited A 1997. , otc mechanics Contact 1997. , nentoa ora fSld n Structures and Solids of Journal International ob umte o nentoa ora o ueia ehd in Methods Numerical for Journal International to: submitted be to e ok Y ... pi 02 2005. 20-24 April U.S.A., NY, York, New , rceig fte19 on umrMeigo h American the of Meeting Summer Joint 1997 the of Proceedings Geotechnique 22:5–6,1982. 72(2):556–565, , nPeaainfrthe for Preparation In abig nvriypes 1987. press, university Cambridge . nRve,2006. Review, In , nentoa ora o ueia ehd in Methods Numerical for Journal International 63:7–9,1986. 36(3):377–396, , h hss h nvriyo Trondheim, of University The thesis, PhD . ikasr 98 ob presented. be To 1998. Birkhauser, . eso:2.Ags,22,15:04 2021, August, 26. version: nentoa ora o Numer- for Journal International rceig fteNinth the of proceedings 97 cetdfor Accepted 1997. , 3104 of 3000 page: h hss The thesis, PhD . h thesis, PhD . page , The