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

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

2007-08-31

arxiv.org/abs/0708.4378v1

Mathematics

Analysis of PDEs

33 pages, 3 figures

Scientific paper

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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