Abstract
Viscoelastic solid in Kelvin-Voigt rheology involving also plasticity is considered coupled with heat-transfer equation through temperature-dependent activation yield stress. No hardening is considered but evolution of the plastic strain is considered rate-dependent.
Numerical discretization is proposed by semi-implicit time discretization and finite-elements on accute triangulations in space, and convergence is proved by careful subsequent limit passage. Computational simulations illustrates implementation of the method as well as physical effects of softening of yield stress when temperature rises.
Eventually, extension for coupling also through thermal expansion and coresponding adiabatic effects is outlined.