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- Title
THERMO-VISCO-ELASTICITY FOR THE MRÓZ MODEL IN THE FRAMEWORK OF THERMODYNAMICALLY COMPLETE SYSTEMS.
- Authors
GWIAZDA, PIOTR; KLAWE, FILIP Z.; ŚWIERCZEWSKA-GWIAZDA, AGNIESZKA
- Abstract
We derive a thermomechanical model for the evolution of the visco- elastic body subject to the action of external forces. The presented framework captures elastic and visco-elastic deformation as well as thermal effects occurring in the material. Consequently we couple the momentum balance with the heat equation. The system is supplemented by the constitutive relation for the Cauchy stress tensor and visco-elastic strain tensor. As an example exhibiting the proposed approach one can mention the Mróz model. We establish existence of solutions to the quasi-static version of the derived system.
- Publication
Discrete & Continuous Dynamical Systems - Series S, 2014, Vol 7, Issue 5, p981
- ISSN
1937-1632
- Publication type
Academic Journal
- DOI
10.3934/dcdss.2014.7.981