Domain patterns and hysteresis in phase-transforming solids: analysis and numerical simulations of a sharp interface dissipative model via phase-field approximation

DOI10.3934/nhm.2013.8.481zbMath1264.74184OpenAlexW2020469364WikidataQ59202151 ScholiaQ59202151MaRDI QIDQ1953043

Martin Kružík, Antonio De Simone

Publication date: 7 June 2013

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2013.8.481

zbMATH Keywords

hysteresisshape memory alloysphase-field modelsrate-independent processesmulti-well energiessharp-interface limits

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Methods involving semicontinuity and convergence; relaxation (49J45) Nonlinear constitutive equations for materials with memory (74D10) Problems involving hysteresis in solids (74N30)

Related Items

Incompatible sets of gradients and metastability, A sharp interface evolutionary model for shape memory alloys, Uniform Poincaré-Sobolev and isoperimetric inequalities for classes of domains