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Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion
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SYSNO ASEP 0359233 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion Author(s) Bartels, S. (DE)
Roubíček, Tomáš (UT-L) RID, ORCIDNumber of authors 2 Source Title E S A I M: Mathematical Modelling and Numerical Analysis - ISSN 0764-583X
Roč. 45, č. 3 (2011), s. 477-504Number of pages 28 s. Language eng - English Country GB - United Kingdom Keywords thermodynamics of plasticity ; kelvin-voigt rheology ; hardening Subject RIV BA - General Mathematics R&D Projects GA106/09/1573 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z20760514 - UT-L (2005-2011) UT WOS 000289622800004 DOI 10.1051/m2an/2010063 Annotation 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. Workplace Institute of Thermomechanics Contact Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823 Year of Publishing 2012 Electronic address http://www.esaim-m2an.org/action/displayAbstract?fromPage=online&aid=8000268
Number of the records: 1