Kinematic hardening rules in finite plasticity part I: A constitutive approach

Continuum Mechanics and Thermodynamics

Volumn 8, Issue 4, 1996, Pages 215-231

  Tsakmakis, Ch ^a  

^a KARLSRUHE INSTITUTE OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030493484     PISSN: 09351175     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001610050040     Document Type: Article

References (28)

1. Haupt P, Tsakmakis Ch (1989) On the application of dual variables in continuum mechanics. Cont. Mech. Thermodyn. 1: 165-196
2. Haupt P, Tsakmakis Ch (1995) Stress tensors associated with deformation tensors via duality. To appear in Arch. Mech.
3. Svendsen B, Tsakmakis Ch (1994) A local differential geometric formulation of stress-strain pairs and time derivatives. Arch. Mech. 46: 49-91
4. Sidoroff F (1982) Incremental constitutive equations for large strain elastoplasticity. Int. J. Eng. Sci. 20: 19-26
5. Simo JC (1988) A framework for finite elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition: Part I. Continuum Formulation. Comput. Meth. Appl. Mech. Eng. 66: 199-219
6. Simo JC, Miehe C (1992) Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation. Comput. Meth. Appl. Mech. Eng. 98: 41-104
7. Eterovic AL, Bathe K-J (1990) A hyperelastic-based large strain elasto-plastic constitutive formulation with combined isotropic-kinematic hardening using the logarithmic stress and strain measures. Int. J. Num. Meth. Eng. 30: 1099-1114
8. Eve RA, Gültop T, Reddy BD (1990) An internal variable finite-strain theory of plasticity within the framework of convex analysis. Quart. Appl. Math. 48: 625-643
9. Lubliner J (1990) Plasticity theory, New York: Macmillan Publishing Company
10. Maugin GA (1992) The thermomechanics of plasticity and fracture, New York et al.: Cambridge University Press
11. Green AE, Naghdi PM (1965) A general theory of an elastic-plastic continuum. Arch. Rational Mech. Anal. 18: 251-281
12. Germain P, Nguyen QS, Suquet P (1983) Continuum Thermodynamics. ASME J. Appl. Mech. 50: 1010-1020
13. Haupt P (1993) Thermodynamics of solids. In: CISM-Courses and Lectures No 336, Nonequilibrium thermodynamics with application to solids, (ed. W. Muschik), pp. 65-138. Wien, New York: Springer
14. Lemaitre J, Chaboche JL (1990) Mechanics of solid materials, Cambridge et al.: Cambridge University Press
15. Korzen M (1988) Beschreibung des inelastischen Materialverhaltens im Rahmen der Kontinuumsmechanik: Vorschlag einer Materialgleichung vom viskoelastisch-plastischen Typ, Dissertation, Technische Hochschule Darmstadt, Institut für Mechanik
16. Chaboche JL, Dang-Van K, Cordier G (1979) Modelisation of the strain memory effect on the cyclic hardening of 316 stainless steel. SMIRT-S, L11/3, Berlin
17. Chaboche JL (1986) Time-independent constitutive theories for cyclic plasticity. Int. J. Plasticity 2: 149-188
18. Chaboche JL (1993) Cyclic viscoplastic constitutive equations, Part I: A thermodynamically consistent formulation. ASME J. Appl. Mech. 60: 813-821
19. Tsakmakis Ch (1995) Remarks on Il'iushin's postulate. Submitted for publication
20. Lubliner J (1986) Normality rules in large-deformation plasticity. Mech. Materials 5: 29-34
21. Lucchesi M, Silhavy M (1991) Il'iushin's conditions in non-isothermal plasticity. Arch. Rational Mech. Anal. 113: 121-163
22. Tsakmakis Ch (1995) Kinematic hardening in finite plasticity. Part II: Some examples. Continuum Mech. Thermodyn. 8: 233-246
23. Hill R (1968) On constitutive inequalities for simple materials - II. J. Mech. Phys. Solids 16: 315-322
24. Hill R, Rice JR (1973) Elastic potentials and the structure of inelastic constitutive laws. SIAM J. Appl. Math. 25: 448-461
25. Dafalias YF (1977) Il'iushin's postulate and resulting thermodynamic conditions on elastic-plastic coupling. Int. J. Sol. Struct. 13: 239-251
26. Casey J, Tseng M (1984) A constitutive restriction related to convexity of yield surfaces in plasticity. J. Appl. Math. Phys. (ZAMP) 35: 478-496
27. Lin HC, Naghdi PM (1989) Necessary and sufficient conditions for the validity of a work inequality in finite plasticity. Quart. J. Mech. Appl. Math. 42: 13-21.
28. Fosdick R, Volkmann E (1993) Normality and convexity of the yield surface in nonlinear plasticity. Quart. J. Appl. Math. LI 117-127