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

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Date
2006
Volume
1170
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Journal
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Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
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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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Auricchio, F., Mielke, A., & Stefanelli, U. (2006). A rate-independent model for the isothermal quasi-static evolution of shape-memory materials (Vol. 1170). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
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