WIAS Preprint No. 1184, (2006)

A model for temperature-induced phase transformations in finite-strain elasticity



Authors

  • Mielke, Alexander
    ORCID: 0000-0002-4583-3888

2010 Mathematics Subject Classification

  • 49J40 49S05 74F05 74M05 74N30

Keywords

  • shape-memory alloys, rate-independent energetic formulation, temperature-induced phase transformation, polyconvexity, time-dependent Dirichlet conditions

Abstract

We propose a model for phase transformations that are driven by changes in the temperature. We consider the temperature as a prescribed prescribed quantity like an applied load. The model is based on the energetic formulation for rate-independent systems and thus allows for finite-strain elasticity. Time-dependent Dirichlet boundary conditions can be treated by decomposing the deformation as a composition of a given deformation satisfying the time-dependent boundary conditions and a part coinciding with the identity on the Dirichlet boundary.

Appeared in

  • IMA J. Appl. Math., 72 (2007) pp. 644--658.

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