Thermoviscoplasticity at small strains

0313568 - ÚT 2009 RIV DE eng J - Journal Article
Bartels, S. - Roubíček, Tomáš
Thermoviscoplasticity at small strains.
[Tepelně vazká pružnost při malých deformacích.]
ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik. Roč. 88, č. 9 (2008), s. 735-754. ISSN 0044-2267. E-ISSN 1521-4001
R&D Projects: GA MŠMT(CZ) 1M06031
Institutional research plan: CEZ:AV0Z20760514
Keywords : thermodynamics od plasticity * temperature dependence of yield stress * Kelvin-Voigt rheology
Subject RIV: BJ - Thermodynamics
Impact factor: 0.644, year: 2008
http://www3.interscience.wiley.com/journal/5007542/home

Viscoelastic solid in Kelvin-Voigt rheology involving plasticity coupled with heat-transfer equation through temperature-dependent activation 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 discretization and and employs lowest order finite elements on accute triangulations in space is devised and its convergence is proved by careful subsequent limit passage. Computational simulations underline robustness and efficieny 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.

Článek se zabývá tepelně vazkou pružností při malých deformacích.
Permanent Link: http://hdl.handle.net/11104/0164349