✦ LIBER ✦

A three-dimensional phenomenological model for Magnetic Shape Memory Alloys

✍ Scribed by Ferdinando Auricchio; Anne-Laure Bessoud; Alessandro Reali; Ulisse Stefanelli

Publisher: John Wiley and Sons
Year: 2011
Tongue: English
Weight: 130 KB
Volume: 34
Category: Article
ISSN: 0936-7195
DOI: 10.1002/gamm.201110014

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✦ Synopsis

Abstract

We present a three‐dimensional thermodynamically‐consistent phenomenological model for the magneto‐mechanical behavior of magnetic shape memory materials featuring a cubic‐totetragonal martensitic transformation. Existence of energetic solutions for both the constitutive relation problem and the three‐dimensional quasi‐static evolution problem are proved. The proposed model reduces to some former one via parameter asymptotics by means of a rigorous Γ‐convergence argument (© 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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