A macroscopic model for magnetic shape-memory single crystals

0382313 - ÚTIA 2014 RIV CH eng J - Článek v odborném periodiku
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
Grant CEP: GA AV ČR IAA100750802; GA ČR GAP201/10/0357
Institucionální podpora: RVO:67985556
Klíčová slova: magnetostriction * evolution
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.214, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0212569