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

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Date
2006
Volume
1184
Issue
Journal
Series Titel
WIAS Preprints
Book Title
Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
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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.

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Citation
Mielke, A. (2006). A model for temperature-induced phase transformations in finite-strain elasticity. Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
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