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Computational Mechanics Bibliography Computational Mechanics by: Boris Jeremi´c Department of Civil and Environmental Engineering University of California, Davis version: September 24, 2021; 15:05 Bibliography [1] M. A. Crisfield. Consistent schemes for plasticity computation with the Newton Raphson method. Computa- tional Plasticity Models, Software, and Applications, 1:136{160, 1987. [2] S. Sture, K. Runesson, and E. J. Macari-Pasqualino. Analysis and calibration of a three invariant plasticity model for granular materials. Ingenieur Archiv, 59:253{266, 1989. [3] J. Kaspar Willam. Recent issues in computational plasticity. In COMPLAS, pages 1353{1377, 1989. [4] K. Runesson and A. Samuelsson. Aspects on numerical techniques in small deformation plasticity. In G. N. Pande J. Middleton, editor, NUMETA 85 Numerical Methods in Engineering, Theory and Applications, pages 337{347. AA.Balkema., 1985. [5] G. Philip Jr. Hodge. Simple examples of complex phenomena in plasticity. In Richard T Shield George J Dvorak, editor, Mechanics of Material Behavior, The Daniel C. Drucker Anniversary Volume, pages 147{173. Elsevier, 1984. [6] G. Maier and A. Nappi. On the unified framework provided by mathematical programming to plasticity. In Richard T. Shield George J. Dvorak, editor, Mechanics of Material Behavior, The Daniel C. Drucker Anniversary Volume, pages 253{273. Elsevier, 1984. [7] J.C. Simo and T. Honein. Variational formulation, discrete conservation laws and path - domain independent integrals for elasto - viscoplasticity. Journal of Applied Mechanics, 57:488{497, 1990. [8] R. de Borst and P. A. Vermeer. Possibilities and limitations of finite elements for limit analysis. Geotechnique, 34(2):199{210, 1984. [9] J. D. Eshelby. The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proceedings of the Royal Society London, A:376{296, 1957. [10] J. M. M. C. Marques. Stress computations in elastoplasticity. Engineering Computations, 1:42{51, 1984. [11] Pankaj Nenad Bi´cani´c.Exact evaluation of contact stress state in computational elasto plasticity. Engineering Computations, 6:67{73, 1989. [12] J. C. Simo and M. Ortiz. A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations. Computer Methods in Applied Mechanics and Engineering, 49:221{245, 1985. [13] W. T. Koiter. General theorems for elastic-plastic solids. In I. N. Sneddon and R. Hill, editors, Progress in Solid Mechanics, pages 165{221. North Holland, 1960. [14] I. Vardoulakis. Bifurcation analysis of the plane rectilinear deformation on dry sand samples. International Journal of Solids and Structures, 17(11):1085{1101, 1981. [15] E. Papamichos, I. Vardoulakis, and H-B M¨uhlhaus.Buckling of layered elastic media: A Cosserat-continuum approach and its validation. International Journal for Numerical and Analytical Methods in Geomechanics, 14:473{498, 1990. [16] Eddy Pramono and Kaspar Willam. Implicit integration of composite yield surfaces with corners. Engineering Computations, 6:186{197, 1989. [17] MiloˇsKoji´cand Klaus-J¨urgenBathe. The ”effective stress function" algorithm for thermo elasto plasticity and, creep. International Journal for Numerical Methods in Engineering, 24:1509{1532, 1987. 1 Boris Jeremi BJ : 24. Septembar, 2021, 15:05 2 [18] M. Ortiz and E. P. Popov. Accuracy and stability of integration algorithms for elastoplastic constitutive relations. International Journal for Numerical Methods in Engineering, 21:1561{1576, 1985. [19] J. C. Simo and R. L. Taylor. Consistent tangent operators for rate-independent elastoplasticity. Computer Methods in Applied Mechanics and Engineering, 48:101{118, 1985. [20] Floating Point Systems Ltd. Notes on supercomputers. Engineering Computations, 3:254{258, 1986. [21] Kenneth Runesson, Alf Samuelsson, and Lars Bernsp˚ang.Numerical technique in plasticity including solution advancement control. International Journal for Numerical Methods in Engineering, 22:769{788, 1986. [22] M. Ortiz and J. C. Simo. An analysis of a new class of integration algorithms for elastoplastic, constitutive relations. International Journal for Numerical Methods in Engineering, 23:353{366, 1986. [23] R. Hill. Discontinuity relations in mechanics of solids. In Sneddon I N and Hill R, editors, Progress in Solid Mechanics, pages 247{276. North Holland, 1961. [24] M. Klisinski, Z. Mroz, and K. Runesson. Structure of constitutive equations in plasticity for different choices of state variables. International Journal of Plasticity, 8:221{243, 1992. [25] Kenneth Runesson and Zenon Mrˇoz. A note on nonassociated plastic flow rules. International Journal of Plasticity, 5:639{658, 1989. [26] J. Mandel. Generalisation de la theorie de plasticit´ede W. T. Koiter. International Journal for Solids and Structures, 1:273{295, 1965. in French. [27] Hermann Matthies. A decomposition method for the integration of the elastic-plastic rate problem. Interna- tional Journal for Numerical Methods in Engineering, 28:1{11, 1989. [28] Kenneth Runesson and Ragnar Larsson. Properties of incremental solutions for dissipative material. Journal of Engineering Mechanics, 119:647{667, 1993. [29] J. J. Moreau. Application of convex analysis to the treatment of elastoplastic systems. In , pages 56{89,. , 19 . [30] Quoc Son Nquyen and DragoˇsRadenkovi´c.Stability of equilibrium in elastic-plastic solids. In , pages 403{414,. , 19 . [31] R. Hill. A self-consistent mechanics of composite materials. Journal of Mechanics and Physics of Solids, 13:213{222, 1965. [32] B. Budiansky. On the elastic moduli of some heterogeneous materials. Journal of Mechanics and Physics of Solids, 13:223{227, 1965. [33] Bernard Budiansky and Richard J. O'Connell. Elastic moduli of a cracked solids. International Journal of Solids and Structures, 12:81{97, 1976. [34] Z. Hashin. Analysis of composite materials. Journal of Applied Mechanics, 50:481{505, 1983. [35] Kenneth Runesson, Stein Sture, and Kaspar Willam. Integration in computational plasticity. Computers & Structures, 30(1/2):119{130, 1988. [36] J. C. Simo and R. L. Taylor. A returning mapping algorithm for plane stress elastoplasticity. International Journal for Numerical Methods in Engineering, 22:649{670, 1986. [37] Jr. Dodds and H. Robert. Numerical techniques for plasticity computations in finite element analysis. Computers & Structures, 26(5):767{779, 1987. [38] R. Nova and D. M. Wood. A constitutive model for sand in triaxial compression. International Journal for Numerical and Analytical Methods in Geomechanics, 3:255{278, 1979. [39] Ren´ede Borst and Peter H. Feenstra. Studies in anysotropic plasticity with reference to the hill criterion. International Journal for Numerical Methods in Engineering, 29:315{336, 1990. [40] R. de Borst. Smeared cracking, plasticity, creep, and thermal loading - a unified approach. Computer Methods in Applied Mechanics and Engineering, 62:89{110, 1987. [41] Y. Yu and K. Axelsson. A plasticity model for silt. Numerical Models in Geomechanics, pages 37{45, 1992. Boris Jeremi BJ : 24. Septembar, 2021, 15:05 3 [42] H. Alawaji, K. Runesson, S. Sture, and K. Axelsson. Implicit integration in soil plasticity under mixed control for drained and, undrained response. International Journal for Numerical Methods in Geomechanics, 16:737{ 756, 1992. [43] Kenneth Runesson. Implicit integration of elastoplastic relations with reference to soils. International Journal for Numerical and Analytical Methods in Geomechanics, 11:315{321, 1987. [44] J. Lubliner. On the thermodynamic foundations of non-linear solid mechanics. International Journal of Non- Linear Mechanics, 7:237{254, 1972. [45] K. J. Willam. Numerical solution of inelastic rate processes. Computers & Structures, 8:511{531, 1978. [46] K. Axelsson, K. Runesson, S. Sture, Y. Yu, and H. Alawaji. Characteristics and integration of undrained response of silty soils. |{, pages 195{203, |-. [47] E. Hinton, T. K. Hellen, and L. P. R. Lyons. On elasto-plastic benchmark philosophies. , pages 389{407, . [48] P. V. Lade. Experimental observations of stability, and shear planes in granular materials. Ingenieur Archiv, 59:114{123, 1989. [49] I. Vardoulakis. Shear-banding and liquefaction in granular materials on the basis of a Cosserat continuum theory. Ingenieur Archiv, 59:106{113, 1989. [50] K. Runesson, E. Pramono, S. Sture, and K. Axelsson. Assessment of a new class of implicit integration scheme for a cone-cap plasticity models. UC at Boulder, 1989. [51] K. Runesson, K. Axelsson, and M. Klisinski. Characteristics of constitutive relations in soil plasticity for undrained behavior. International Journal of Solids and Structures, 29(3):363{380, 1992. [52] K. Runesson and S. Sture. Stability of frictional materials. Journal of Engineering Mechanics, 115(8):1828{ 1833, 1989. [53] M. A. Crisfield. A fast incremental / iterative solution procedure that handles snap - through. Computers & Structures, 13:55{62, 1981. [54] Carlos A. Felippa. Architecture of a distributed analysis network for computational mechanics. Computers & Structures, 13:405{413, 1981. [55] M. A. Crisfield. An arc { length method including line searches and accelerations. International Journal for Numerical Methods in Engineering, 19:1296{1289, 1983. [56] J. M. M. C. Marques and D. R. J. Owen. Some reflections on elastoplastic stress calculations in finite element analysis. Computers & Structures, 18(6):1135{1139, 1984. [57] M. A. Crisfield. Accelerating and dumping the modified Newton{Raphson method. Computers & Structures, 18(3):395{407, 1984. [58] W. T. Koiter. Stress
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