Journal
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
Volume 88, Issue 9, Pages 735-754Publisher
WILEY-V C H VERLAG GMBH
DOI: 10.1002/zamm.200800042
Keywords
thermodynamics of plasticity; temperature dependence of yield stress; Kelvin-Voigt rheology; semi-implicit discretization; convergence
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Funding
- Deutsche Forschungsgemeinschaft
- DFG research center MATHEON in Berlin
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A viscoelastic solid in Kelvin-Voigt rheology involving plasticity coupled with a heat-transfer equation through a temperature-dependent yield stress is investigated. No hardening is studied but the evolution of the plastic strain is considered to be rate-dependent. A numerical scheme which is semi-implicit in time and employs lowest order finite elements on weakly acute triangulations in space is devised and its convergence is proved by careful subsequent limit passage. Computational studies underline robustness and efficiency of the method and illustrate physical effects such as the softening of a material due to dissipated energy that causes a rise in temperature and a local decrease of the yield stress.(c) 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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