By Jean-Pierre Boulay
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50, to appear. C. and Miehe C. (1992), Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation, Comp. Meth. Appl. Mech. Engrg. 98, 41-104. W. F. DAFALIAS Institute of Technology, Eng. & Cons. Group, Samsung Corporation San 25, Gongse-ri, Giheung-eup, Yongin-city, Kyunggi-do 449-900, Korea 2) Division of Mechanics, National Technical University of Athens 1) 5 Heroes of Polytechnion Avenue, Zorgraphou 15773, Greece and Dep. of Civil & Environ. , Univ.
Represents thermodynamic equilibrium, however, the equilibrium states depend on the process history in a rate independent manner. stands for the deviation from the equilibrium states, which are limits of relaxation or retarded processes. The equilibrium part is modelled utilizing the arclength representation. In this context, the introduction of a yield surface is optional but not necessary. For representing the non-equilibrium part the methods of nonlinear thermoviscoelasticity are applicable.
The prefix indicates the trace, and a superposed dot denotes the material time derivative or rate. 2. Combined Hardening Viscoplastic Model General kinematics and kinetics in large inelastic macroscopic formulation with the plastic spin concept were in a systematic way reviewed in Dafalias (1985, 1990). Bypassing the details thereof, Eulerian kinematics in small elastic and finite plastic deformations can be described as follows: where D, and denote the total, elastic and plastic rate of deformations, respectively, and W, and the total, substructural and plastic rate of rotations or spins, respectively.