Numerical Analysis of a Relaxed Variational Model of Hysteresis in Two-Phase Solids

DOI10.1051/m2an:2001139zbMath1007.74062OpenAlexW2170069250MaRDI QIDQ2781516

Petr Plecháč, Carsten Carstensen

Publication date: 20 March 2002

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2001__35_5_865_0

zbMATH Keywords

hysteresisfinite element methodmicrostructurevariational formulationa posteriori error estimatesnon-convex minimizationimplicit time discretizationa priori error estimateselastic solidsadaptive mesh-refining algorithmquasioptimal spatial approximation of stress fieldrate-independent phase transformationstwo-phase solids

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Problems involving hysteresis in solids (74N30)

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