Thermo-visco-elasticity for Norton-Hoff-type models
Abstract
Our research is directed to a quasi-static evolution of the thermo-visco-elastic model. We assume that the material is subject to two kinds of mechanical deformations: elastic and inelastic. Moreover, our analysis captures the influence of the temperature on the visco-elastic properties of the body. The novelty of the paper is the consideration of the thermodynamically complete model to describe this kind of phenomena related with a hardening rule of Norton-Hoff type. We provide the proof of existence of solutions to thermo-visco-elastic model in a simplified setting, namely the thermal expansion effects are neglected. Consequently, the coupling between the temperature and the displacement occurs only in the constitutive function for the evolution of the visco-elastic strain.
Keywords
Cite
@article{arxiv.1404.1671,
title = {Thermo-visco-elasticity for Norton-Hoff-type models},
author = {Piotr Gwiazda and Filip Z. Klawe and Agnieszka Świerczewska-Gwiazda},
journal= {arXiv preprint arXiv:1404.1671},
year = {2014}
}