Use of isotropic thermoelasticity laws in finite deformation viscoplasticity models

We consider general finite deformation thermoviscoplasticity models and foc us attention to the thermoelasticity laws involved in the constitutive theo ry. The goal is to show how such constitutive relations having forms as sim ple as possible may be defined with respect to both the plastic intermediat e configuration and the actual configuration. In particular, using two fami lies of strain and associated stress tensors, we arrive at two different th ermoelasticity laws formulated with respect to the actual configuration. Th ese are extensions to nonisothermal deformations of corresponding hyperplas ticity laws introduced previously by Simo [1].