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A macroscopic model for magnetic shape-memory single crystals
- 1.0382313 - ÚTIA 2014 RIV CH eng J - Journal Article
Bessoud, A. L. - Kružík, Martin - Stefanelli, U.
A macroscopic model for magnetic shape-memory single crystals.
Zeitschrift für angewandte Mathematik und Physik. Roč. 64, č. 2 (2013), s. 343-359. ISSN 0044-2275. E-ISSN 1420-9039
R&D Projects: GA AV ČR IAA100750802; GA ČR GAP201/10/0357
Institutional support: RVO:67985556
Keywords : magnetostriction * evolution
Subject RIV: BA - General Mathematics
Impact factor: 1.214, year: 2013
http://library.utia.cas.cz/separaty/2012/MTR/kruzik-a macroscopic model for magnetic shape-memory single crystals.pdf
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.
Permanent Link: http://hdl.handle.net/11104/0212569
Number of the records: 1