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.

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

U Stefanelli
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 Gamma-convergence analysis.
2011
Istituto di Matematica Applicata e Tecnologie Informatiche - IMATI -
Gamma-convergence
Permanent inelastic effects
Shape memory materials
Well-posedness
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/44357
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