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arXiv · 0708.4378

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

Ferdinando Auricchio·Alexander Mielke·Ulisse Stefanelli
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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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Ferdinando Auricchio, Alexander Mielke, Ulisse Stefanelli. 2007-08-31. A rate-independent model for the isothermal quasi-static evolution of shape-memory materials. https://arxiv.org/abs/0708.4378

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