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 Γ-convergence analysis.
A rate-independent model for permanent inelastic effects in shape memory materials / Eleuteri, Michela; Lussardi, Luca; Stefanelli, Ulisse. - In: NETWORKS AND HETEROGENEOUS MEDIA. - ISSN 1556-1801. - 6:1(2011), pp. 145-165. [10.3934/nhm.2011.6.145]
A rate-independent model for permanent inelastic effects in shape memory materials
ELEUTERI, Michela;
2011
Abstract
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 Γ-convergence analysis.
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