Počet záznamů: 1

Numerical approaches to rate-independent processes and applications in inelasticity

  1. 1.
    0325241 - UT-L 2010 RIV FR eng J - Článek v odborném periodiku
    Mielke, A. - Roubíček, Tomáš
    Numerical approaches to rate-independent processes and applications in inelasticity.
    [Číslicové přístupy k rychlostně-nezásislým procesům a užítí v nepružnosti.]
    E S A I M: Mathematical Modelling and Numerical Analysis. Roč. 43, č. 3 (2009), s. 399-428 ISSN 0764-583X
    Grant CEP: GA MŠk(CZ) 1M06031
    Výzkumný záměr: CEZ:AV0Z20760514
    Klíčová slova: plasticity * damage * debonding
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 1.483, rok: 2009

    A conceptual numerical strategy for rate-independent processes in the energetic formulation is proposed and its convergence is proved under various rather mild data qualifications. The novelty is that we obtain convergence of subsequences of space-time discretizations even in case where the limit problem does not have a unique solution and we need no additional assumptions on higher regularity of the limit solution. The variety of general perspectives thus obtained is illustrated on several specific examples: plasticity with isotropic hardening, damage, debonding, magnetostriction, and two models of martensitic transformation in shape-memory alloys.

    Článek se zabývá číslicovými přístupy k rychlostně-nezávislým procesům a užitím v nepružnosti.
    Trvalý link: http://hdl.handle.net/11104/0172730