WIAS Preprint No. 1170, (2006)

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


Authors

  • Auricchio, Ferdinando
  • Mielke, Alexander
    ORCID: 0000-0002-4583-3888
  • Stefanelli, Ulisse

2010 Mathematics Subject Classification

  • 74C05 49J40

Keywords

  • Shape-memory materials, rate-independent evolution, time and space discretization, Gamma convergence, asymptotics

DOI

10.20347/WIAS.PREPRINT.1170

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.

Appeared in

  • Math. Methods Appl. Sci., 18 (2008) pp. 125--164.

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