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A rate-independent model for permanent inelastic effects in shape memory materials. (English) Zbl 1263.74016

Summary: This paper addresses a three-dimensional model for isothermal stress-induced transformation in shape memory polycrystalline materials in presence of permanent inelastic effects. The basic features of the model are recalled and the constitutive and the three-dimensional quasi-static evolution problem are proved to be well-posed. Finally, we discuss the convergence of the model to reduced/former ones by means of a rigorous \(\Gamma\)-convergence analysis.

MSC:

74C05 Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)
35K86 Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators
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