Physical reasons for abandoning plastic deformation measures in plasticity and viscoplasticity theory

Archives of Mechanics

Volumn 53, Issue 4-5, 2001, Pages 519-539

  Rubin, M B ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037770694     PISSN: 03732029     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (26)

1. M.B. RUBIN, On the treatment of elasticdeformation in finite elastic-viscoplastic theory, Int. J. Plasticity, 12, 951-965, 1996.
2. M.B. RUBIN, Unphysical features of plasticity theories which depend on total and plastic deformations, in Proceedings of the fourth international conference on constitutive laws for engineering materials, Rensselaer, New York (eds. R.C. Picu and E. Krempl), 27-30 July 1999, 184-187 1996.
3. E.T. ONAT, The notion of state and its implications in thermodynamics of inelastic solids, Proc. of the IUTAM Symposium on irreversible aspects of continuum mechanics and transfer of physical characteristics in moving fluids, Vienna. (Eds. H. Parkus and L. I. Sedov), Springer-Verlag, Wien, 1968, 292-314, 1996.
4. J.J. GILMAN, Physical nature of plastic flow and fracture, Plasticity, Proceedings of the second symposium on naval structural mechanics, (Eds. Lee, E. H. and Symonds, P.S.) Pergamon Press, New York, 43-99, 1996.
5. P.M. NACHDI, Stress-strain relations in plasticity and thermoplasticity, Proceedings of the second symposium on naval structural mechanics, Pergamon Press, 121-167, 1960.
6. S.R. BODNER, Review of unified elastic-viscoplastic theory, Unified Constitutive Equations for Creep and Plasticity, ed. A.K. Miller, Elsevier Applied Science Pub. Barking, England, 273-301, 1987.
7. P.M. NAGHDI AND J.A. TRAPP, The significance of formulating plasticity theory with reference to loading surfaces in strain space, Int. J. Engng. Sci., 13, 785-797, 1975.
8. L.E. MALVERN, The propagation of longitudinal waves of plastic deformation in a bar of material exhibiting a strain-rate effect, ASME J. Appl. Mech., 18, 203-208, 1951.
9. P. PERZYNA, The constitutive equations for rate-sensitive plastic materials, Quarterly of Appl. Math., 20, 321-332, 1963.
10. S.R. BODNER, Constitutive equations for dynamic material behavior, in Mechanical Behavior of Materials Under Dynamic Loads, ed. U.S. Lindholm, Springer-Verlag, New York, 176-190, 1968.
11. S.R. BODNER AND Y. PARTOM, A large deformation elastic-viscoplastic analysis of a thick-walled spherical shell, ASME J. Appl. Mech. 39, 751-757, 1972.
12. S.R. BODNER AND Y. PARTOM, Constitutive equations for elastic-viscoplastic strain-hardening materials, ASME J. Appl. Mech., 42, 385-389, 1975.
13. M.B. RUBIN, Plasticity theory formulated in terms of physically based microstructural variables - Part I: Theory, Int. J. Solids Structures, 31, 2615-2634, 1994.
14. M.B. RUBIN, Plasticity theory formulated in terms of physically based microstructural variables - Part II: Examples, Int. J. Solids Structures, 31, 2635-2652, 1994.
15. J.W. SWEGLE AND D.E. GRADY, Shock viscosity and the prediction of shock wave rise times, J. Appl. Phys., 58, 692-701, 1985.
16. J.W. SWEGLE AND D.E. GRADY, Shock viscosity and the calculation of steady shock wave profiles, In: Gupta, Y.M. Ed. Shock Waves in Condensed Matter. Plenum, New York, 353-357, 1986.
17. M.B. RUBIN, An elastic-viscoplastic model exhibiting continuity of solid and fluid states, Int. J. Engng, Sri., 25, 1175-1191, 1987.
18. M.B. RUBIN, A time integration procedure for plastic deformation in elastic-viscoplastic metals, J. Appl. Math. Phys. (ZAMP), 40, 846-871, 1989.
19. M.B. RUBIN, Efficient time integration of a viscoplastic model for shock waves, J. Appl. Phys., 68, 1356-1358, 1990.
20. M.B. RUBIN AND A. ATTIA, Calculation of hyperelastic response of finitely deformed elastic-viscoplastic materials, Int. J. for Numer. Meth. in Engng., 39, 309-320, 1996.
21. C. ECKART, The thermodynamics of irreversible processes. IV. The theory of elasticity and anelasticity, Physical Review, 73, 373-382, 1948.
22. A.I. LEONOV, Nonequilibrium thermodynamics and rheology of viscoelastic polymer media, Rheologica Acta, 15, 85-98, 1996.
23. P. FLORY, Thermodynamic relations for highly elastic materials, Trans. Faraday Soc., 57, 829-838, 1961.
24. P.M. NAGHDI, A critical review of the state of finite plasticity, J. Appl. Math. and Phys. (ZAMP), 41, 315-394, 1990.
25. J.F. BESSELING, A thermodynamic approach to rhcology, Proc. of the IUTAM Symposium on irreversible aspects of continuum mechanics and transfer of physical characteristics in moving fluids, Vienna. Eds. H. Parkus and L.I. Sedov, Springer-Verlag, Wien, 1968, 16-53, 1996.
26. R.J. ASARO, Micro-mechanics of crystals and polycrystals, Advances in Applied Mechanics, 23, 1-115, 1983.