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A macroscopic model for magnetic shape-memory single crystals
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SYSNO ASEP 0382313 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title A macroscopic model for magnetic shape-memory single crystals Author(s) Bessoud, A. L. (IT)
Kružík, Martin (UTIA-B) RID, ORCID
Stefanelli, U. (IT)Number of authors 3 Source Title Zeitschrift für angewandte Mathematik und Physik. - : Springer - ISSN 0044-2275
Roč. 64, č. 2 (2013), s. 343-359Number of pages 17 s. Language eng - English Country CH - Switzerland Keywords magnetostriction ; evolution Subject RIV BA - General Mathematics R&D Projects IAA100750802 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) GAP201/10/0357 GA ČR - Czech Science Foundation (CSF) Institutional support UTIA-B - RVO:67985556 UT WOS 000316766700009 DOI 10.1007/s00033-012-0223-y Annotation 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. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2014
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