http://www.cnr.it/ontology/cnr/individuo/prodotto/ID31644

Magnetic shape memory alloys: three-dimensional modeling and analysis (Articolo in rivista)

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Magnetic shape memory alloys: three-dimensional modeling and analysis (Articolo in rivista) (literal)

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Alternative label

Bessoud A.-L., Stefanelli U. (2011)
Magnetic shape memory alloys: three-dimensional modeling and analysis
in Mathematical models and methods in applied sciences; World Scientific Publ. Co., Singapore (Singapore)
(literal)

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Istituto di Matematica Applicata e Tecnologie Informatiche-CNR, Via Ferrata 1, 27100 Pavia, Italy (literal)

Titolo

Abstract

We present a three-dimensional phenomenological model for the magneto-mechanical behavior of magnetic shape memory materials such as Ni 2MnGa. Moving from micromagnetic considerations, we advance to some thermodynamically consistent constitutive relations describing the magnetically-induced cubic-to-tetragonal martensitic transformation in a single crystal. We present an existence analysis for both the constitutive relation problem and the three-dimensional quasi-static evolution problem. Finally, we discuss the reduction of this model to some simpler one by means of a rigorous Gamma-convergence analysis. (literal)

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