Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion

0359233 - ÚT 2012 RIV GB eng J - Journal Article
Bartels, S. - Roubíček, Tomáš
Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion.
E S A I M: Mathematical Modelling and Numerical Analysis. Roč. 45, č. 3 (2011), s. 477-504. ISSN 0764-583X. E-ISSN 1290-3841
R&D Projects: GA ČR GA106/09/1573
Institutional research plan: CEZ:AV0Z20760514
Keywords : thermodynamics of plasticity * kelvin-voigt rheology * hardening
Subject RIV: BA - General Mathematics
Impact factor: 1.218, year: 2011
http://www.esaim-m2an.org/action/displayAbstract?fromPage=online&aid=8000268

We consider a viscoelastic solid in Kelvin-Voigt rheology exhibiting also plasticity with hardening and coupled with heat-transfer through dissipative heat production by viscoplastic effects and through thermal expansion and corresponding adiabatic effects. Numerical discretization of the thermodynamically consistent model is proposed by implicit time discretization, suitable regularization, and finite elements in space. Fine a-priori estimates are derived, and convergence is proved by careful successive limit passage. Computational 3D simulations illustrate an implementation of the method as well as physical effects of residual stresses substantially depending on rate of heat treatment.
Permanent Link: http://hdl.handle.net/11104/0197057