Numerical approaches to rate-independent processes and applications in inelasticity

0325241 - ÚT 2010 RIV FR eng J - Journal Article
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. E-ISSN 1290-3841
R&D Projects: GA MŠMT(CZ) 1M06031
Institutional research plan: CEZ:AV0Z20760514
Keywords : plasticity * damage * debonding
Subject RIV: BA - General Mathematics
Impact factor: 1.483, year: 2009
www.esaim-m2an.org

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.
Permanent Link: http://hdl.handle.net/11104/0172730