Počet záznamů: 1

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

  1. 1.
    0359233 - UT-L 2012 RIV GB eng J - Článek v odborném periodiku
    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
    Grant CEP: GA ČR GA106/09/1573
    Výzkumný záměr: CEZ:AV0Z20760514
    Klíčová slova: thermodynamics of plasticity * kelvin-voigt rheology * hardening
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 1.218, rok: 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.
    Trvalý link: http://hdl.handle.net/11104/0197057