# American Institute of Mathematical Sciences

March  2011, 6(1): 145-165. doi: 10.3934/nhm.2011.6.145

## A rate-independent model for permanent inelastic effects in shape memory materials

 1 Dipartimento di Matematica, Università di Trento, Via Sommarive 14, 38100 Povo (Trento), Italy 2 Fakultät für Mathematik, Technische Universität Dortmund, Vogelpothsweg 87, 44227 Dortmund, Germany 3 Istituto di Matematica Applicata e Tecnologie Informatiche – CNR, Via Ferrata 1, 27100 Pavia

Received  May 2010 Revised  October 2010 Published  March 2011

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.
Citation: Michela Eleuteri, Luca Lussardi, Ulisse Stefanelli. A rate-independent model for permanent inelastic effects in shape memory materials. Networks & Heterogeneous Media, 2011, 6 (1) : 145-165. doi: 10.3934/nhm.2011.6.145
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##### References:
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