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Journal Article

A macroscopic model for magnetic shape-memory single crystals

Bessoud A. L., Kružík Martin, Stefanelli U.

: Zeitschrift für angewandte Mathematik und Physik vol.64, 2 (2013), p. 343-359

: IAA100750802, GA AV ČR, GAP201/10/0357, GA ČR

: magnetostriction, evolution

: 10.1007/s00033-012-0223-y

: http://library.utia.cas.cz/separaty/2012/MTR/kruzik-a macroscopic model for magnetic shape-memory single crystals.pdf

(eng): A rate-independent model for the quasi-static magneto-elastic evolution of a magnetic shape-memory single crystal is presented. In particular, the purely mechanical Souza–Auricchio model for shape-memory alloys is here combined with classical micro-magnetism by suitably associating magnetization and inelastic strain. By balancing the effect of conservative and dissipative actions, a nonlinear evolution PDE system of rate-independent type is obtained. We prove the existence of so-called energetic solutions to this system. Moreover, we discuss several limits for the model corresponding to parameter asymptotics by means of a rigorous Γ-convergence argument.

: BA

07.01.2019 - 08:39