0382313 20240103201413.020130920235959.9 000316766700009 10.1007/s00033-012-0223-y 17 s. cav_un_epca*02553790044-2275642 (2013)343-359Springer magnetostriction evolution cav_un_auth*0284725 Bessoud A. L. IT cav_un_auth*0101142 Kružík Martin Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0080082 Stefanelli U. IT http://library.utia.cas.cz/separaty/2012/MTR/kruzik-a macroscopic model for magnetic shape-memory single crystals.pdf IAA100750802 GA AV ČR cav_un_auth*0241214 GAP201/10/0357 GA ČR cav_un_auth*0263489 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. 2014 BA 3 RVO:67985556 http://hdl.handle.net/11104/0212569 MATHEMATICSAPPLIED 1.153 0.260 >10.0 0.00410 0.732 1718 100 1.062 ScienceCitationIndex Q1 65.707 77.888 Q2 Q2 2013 000316766700009 WOS cav_un_epca*0255379 Zeitschrift für angewandte Mathematik und Physik 0044-2275 1420-9039 Roč. 64 č. 2 2013 343 359 Springer