A rate-independent model for the isothermal quasi-static evolution of shape-memory materials

2007/08/31 by Ferdinando Auricchio, Alexander Mielke, Auricchio, Ferdinando +3
Mathematics · #49J40 #74C05 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:49J40 #msc:74C05

paper · pdf · doi:10.48550/arxiv.0708.4378

33 pages, 3 figures

arxiv created 2007/08/31 · arxiv updated 2009/12/01

Abstract

This note addresses a three-dimensional model for isothermal stress-induced transformation in shape-memory polycrystalline materials. We treat the problem within the framework of the energetic formulation of rate-independent processes and investigate existence and continuous dependence issues at both the constitutive relation and quasi-static evolution level. Moreover, we focus on time and space approximation as well as on regularization and parameter asymptotics.

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