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. © American Institute of Mathematical Sciences.
Lussardi, L., Eleuteri, M., Stefanelli, U., A rate-independent model for permanent inelastic effects in shape memory materials, <<NETWORKS AND HETEROGENEOUS MEDIA>>, 2011; 6 (1): 145-165. [doi:10.3934/nhm.2011.6.145] [http://hdl.handle.net/10807/2488]
A rate-independent model for permanent inelastic effects in shape memory materials
Lussardi, Luca;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. © American Institute of Mathematical Sciences.
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