A. Refereed Archival Publications
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A. Refereed Archival Publications J. Casey and P.M. Naghdi, "A Remark on the Use of the Decomposition F = FeFpin Plasticity," Al. Journal of Applied Mechanics, 47 (1980) 672-675. A. Seidenberg and J. Casey, "The Ritual Origin of the Balance," Archive for History of Exact A2. Sciences, 23 (1980) 179-226. J. Casey and P.M. Naghdi, "An Invariant Infinitesimal Theory of Motions Superposed on a A3. Given Motion," Archive for Rational Mechanics and Analysis, 76(1981) 355-391. J. Casey and P.M. Naghdi, "On the Characterization of Strain-Hardening in Plasticity," Journal A4. of Applied Mechanics, 48 (1981) 285-296. J. Casey, "Small Deformations Superposed on Large Deformations in a General Elastic-Plastic A5. Material," International Journal of Solids and Structures, 19 (1983) 1115-1146. J. Casey and P.M. Naghdi, "A Remark on the Definition of Hardening, Softening and Perfectly A6. Plastic Behavior, Acta Mechanica, 48 (1983) 91-94. J. Casey and P.M. Naghdi, "On the Nonequivalence of the Stress-Space and Strain Space A7. Formulations of Plasticity," Journal of Applied Mechanics, 50 (1983) 350-354. J. Casey, "A Treatment of Rigid Body Dynamics," Journal of Applied Mechanics,50 (1983) 905- A8. 907 and 51 (1984) 227. J. Casey and H.H. Lin, "Strain-Hardening Topography of Elastic-Plastic Materials, Journal of A9. Applied Mechanics, 50 (1983) 795-801. J. Casey and P.M. Naghdi, "On the Use of Invariance Requirements for the Intermediate A10. Configurations Associated with the Polar Decomposition of a Deformation Gradient," Quarterly of Applied Mathematics, 41 (1983) 339-342. J. Casey and P.M. Naghdi, "Further Constitutive Results in Finite Plasticity," Quarterly Journal A11. of Mechanics and Applied Mathematics, 37 (1984) 23 1-259. J. Casey and H. Jahedmotalagh, "On the Strength-Differential Effect in Plasticity, International A12. Journal of Solids and Structures, 20 (1984) 377-393. J. Casey, "A Simple Proof of a Result in Finite Plasticity," Quarterly of Applied A13. Mathematics, 42 (1984) 61-71. J. Casey and H.H. Lin, "Calculated Hardening, Softening and Perfectly Plastic Responses of a A14. Special Class of Materials," Acta Mechanica, 51 (1984) 49-67. A15. J. Casey and H.H. Lin, "Oscillatory Shearing of a Class of Elastic-Plastic Materials, ZAMP, 35 (1984) 216-226. J. Casey and M. Tseng, "A Constitutive Restriction Related to Convexity of Yield Surfaces in A16. Plasticity," ZAMP, 35 (1984) 478-496. J. Casey and P.M. Naghdi, "Physically Nonlinear and Related Approximate Theories of A17. Elasticity, and their Invariance Properties," Archive for Rational Mechanics and Analysis, 88 (1985) 59-82. J. Casey and T.D. Sullivan, "Pressure Dependency, Strength-Differential Effect, and Plastic A18. Volume Expansion in Metals," International Journal of Plasticity, 1 (1985) 39-61. J. Casey, "Approximate Kinematical Relations in Plasticity," International Journal of Solids A19. Structures, 21 (1985) 671-682. J. Casey, "On Finitely Deforming Rigid-Plastic Materials," International Journal of A20. Plasticity, 2 (1986) 247-277. J. Casey and H.H. Lin, "Subcritical, Critical and Supercritical Directions of Loading in A21. Plasticity," J de Ménique Theorique et Appliqueé5 (1986) 685-701. J. Casey and V.C Lam, "On the Relative Angular Velocity Tensor," Transactions of the ASME, A22. Journal of Mechanisms, Transmissions, and Automation in Design, 108(1986) 399-400. J. Casey and C.E. Smith, "When is the Direction of Angular Momentum Fixed in a Rigid A23. Body?," ZAMM 66 (1986) 559-561. J.Casey and V.C. Lam, "A Tensor Method for the Kinematical Analysis of Systems of Rigid A24. Bodies," Mechanism and Machine Theory, 21 (1986) 87-97. J. Casey and W. Stadler, "A Remark on the Principle of Angular Momentum for Systems of A25. Particles," ZAMM, 66 (1986) 190-192. J. Casey, "Problem: Determination of Acceleration of Moving Frame," American Journal of A26. Physics, 54 (1986) 731. J. Casey, "Connections between Kinematics of Line, Area, and Volume Elements, Journal of A27. Elasticity, 17 (1987)71-74. J. Casey, "Subcritical, Critical and Supercritical Directions of Stress-Rate in Finite Rigid A28. Plasticity," Acta Mechanica, 66 (1987) 269-273. J. Casey and V.C. Lam, "On the Reduction of the Rotational Equations of Rigid Body A29. Dynamics," Meccanica, 22 (1987) 41-42. J. Casey and P.M. Naghdi, "On the Relationship between the Eulerian and Lagrangian A30. Descriptions of Finite Rigid Plasticity," Archive for Rational Mechanics and Analysis, 102 (1988) 351-375. A31. J. Casey, "The Bobbing Buoy," The Physics Teacher, (January 1988) 33. J. Casey, "Problem: Wrapping a String around an Object," American Journal of A32. Physics, 57 (1989) 311 and 373. J. Casey and P.M. Naghdi, "On the Lagrangian Description of Vorticity," Archive for Rational A33. Mechanics and Analysis, 115 (1991) 1-14. A34. J. Casey, "On Infinitesimal Deformation Measures," Journal of Elasticity, 28 (1992) 257-269. J. Casey, "The Principle of Rigidification," Archive for History of Exact Sciences,43 (1992)329- A35. 383. A36. J. Casey, "On Clairaut's Hydrostatics," American Journal of Physics, 60 (1992) 549-554. J. Casey, and P.M. Naghdi, "A Prescription for the Identification of Finite Plastic Strain," A37. International Journal of Engineering Science, 30 (1992) 1257-1278. A38. J. Casey, "The Elasticity of Wood," The Physics Teacher, 31 (1993) 286-288. J. Casey, "Using a Surface Triangle to Explore Curvature," Mathematics Teacher,87 (1994) 69- A39. 77. J. Casey, "Geometrical Derivation of Lagrange's Equations for a System of Particles, American A40. Journal of Physics, 62 (1994) 836-847. J. Casey, "Exploring Properties of Forces in Equilibrium," The Physics Teacher, 32(1994)3 64- A41. 3 67. J. Casey and S. Krishnaswamy, "Problem: Which Rigid Bodies Have Constant Inertia A42. Tensors?", American Journal of Physics, 63 (1995) 276 and 281. J. Casey, "A Treatment of Internally Constrained Materials," Journal of Applied A43. Mechanics, 62 (1995) 542-544. J. Casey, "On the Advantages of a Geometrical Viewpoint in the Derivation of Lagrange's Equations for a Rigid Continuum," Theoretical, Experimental and Numerical Contributions to A44. the Mechanics of Fluids and Solids, Special Issue of Journal of Applied Mechanics and Physics, 46 (1995) S805-S847. J. Casey, "A Remark on Consequences of the Work Assumption of Naghdi and Trapp for A45. Elastic-Plastic Materials", Journal of Applied Mechanics and Physics (ZAMP) 46 (1995) 982- 988. J. Casey, "On Materiality Criteria for Vector Fields and Vector-Lines", Mathematics and A46. Mechanics of Solids, 1 (1996) 219-226. J. Casey and S. Krishnaswamy, "On Constrained Thermoelastic Materials," Contemporary A47. Research in the Mechanics and Mathematics of Materials, edited by R. C. Batra and M. F. Beatty, 359-371. J. L. Ericksen Volume (1996) 359-371. A48. J. Casey, "Perfect and Not-so-Perfect Rollers," Mathematics Teacher, 91 (1998) 12-20. J. Casey, "On Elastic-Thermo-Plastic Materials at Finite Deformations," International Journal of A49. Plasticity, 14 (1998) 173-191. J. Casey and S. Krishnaswamy, "A Characterization of Internally Constrained Thermoelastic A50. Materials," Mathematics and Mechanics of Solids, 3 (1998) 71-89. J. Casey, "Making Measurements on Curved Surfaces," in Geometry at Work, MAA Volume, A51. edited by C. A. Gorini, Mathematical Association of America and Cambridge University Press, 2000. E. Baesu and J. Casey, "A Treatment of Internally Constrained Elastic-Plastic Materials," A52. International Journal of Engineering Science, 38 (2000) 1677-1698. J. Casey and P. Papadopoulos, "Material Transport of Sets and Fields," Mathematics and A53. Mechanics of Solids, 7 (2002) 647-676. A54. J. Casey, "On Loading Criteria in Plasticity," C. R. Mécanique, 330 (2002) 285-290. A. A. Brown, J. Casey and D. J. Nikkel, "Experiments Conducted in the Context of the Strain- A55. Space Formulation of Plasticity," International Journal of Plasticity, 19(2003) 1965-2005. J. Casey, "On Volterra Dislocations of Finitely Deforming Continua," Mathematics and A56. Mechanics of Solids, 9 (2004) 473-492. J. Casey, "On a Basic Power Decomposition in Lagrangian Mechanics," Journal of Applied A57. Mechanics, 57 (2004). J. Casey, "Pseudo-Rigid Continua: Basic Theory and a Geometrical Derivation of Lagrange's A58. Equations," Proceedings of the Royal Society, A 460 (2004) 2021-2049. J. Casey, " On Ericksen's Theorem for Unconstrained Hyperelastic Materials," Journal of A59. Elasticity, 76 (2004) 191-197. J. Casey, "A Remark on Cauchy-Elasticity," International Journal of Non-Linear A60. Mechanics, 40 (2005) 331-339. J. Casey and O. M. O'Reilly, "Geometrical Derivation of Lagrange's Equations for a System of A61. Rigid Bodies," Mathematics and Mechanics of Solids, 11 (2006) 401-422. J. Casey, "The ideal pseudo-rigid continuum," Proceedings of the Royal Society A462 (2006) A62. 3185-3195. J. Casey, "Areal Velocity and Angular Momentum for Non-Planar Problems in Particle A63. Mechanics," American Journal of Physics, 75 (2007) 677-685. J. Casey, "A New Definition of a Pseudo-Rigid Continuum," Note di Matematica,27 (2007) 43- A64. 53. A65. J. Casey, "A Remark on the Definition of Angular Velocity," ZAMM, 89 (2009) 922-930. J. Casey, "Siacci's Resolution of the Acceleration Vector for a Space Curve," A66. Meccanica, 46 (2011) 471-476. L. T. Wheeler and J. Casey, "Fréchet Differentiation of the Stretch and Rotation Tensors," A67. Mathematics and Mechanics of Solids, 16 (2011) 753-768. J. Casey, "On the Representation of Rigid Body Rotational Dynamics in Hertzian Configuration A68. Space," International Journal of Engineering Science, 49 (2011) 1388-1396. J. Casey, "Nonlinear Thermoelastic Materials with Viscosity, and Subject to Internal A69. Constraints: a Classical Continuum Mechanics Approach," Journal of Elasticity, 104(2011) 91- 104. J. Casey, "On the Derivation of Jump Conditions in Continuum Mechanics," International A70. Journal of Structural Changes in Solids, 3 (2011) 61-84. J Casey and M.M. Carroll, "A Comment on the Formation of Objective Response Functions," A71. Journal of Elasticity, 107 (2012) 125-130.