Constitutive modelling in finite thermoviscoplasticity: A physical approach based on nonlinear rheological models

Abstract

The strain space of viscoplasticity under finite non-isothermal deformations from a natural generalizations of rheological models is examined. To permit the segregation of physical effects of different parameters such as thermal expansion, inelastic deformations and kinematic hardening properties, the multiple decompositions of the deformation gradient have been considered. Using the concept of dual variables in a modified form, thermodynamically-consistent constitutive model can be obtained.