0465809 20240103213004.320161123235959.9 84963502798 000387359600007 10.1002/zamm.201500209 9 s. P cav_un_epca*02577150044-22679611 (2016)1347-1355Wiley Polyconvexity shape memory materials rate-independent problems cav_un_auth*0339798 50 Knüpfer H. DE cav_un_auth*0101142 Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory 50 Kružík Martin UTIA-B K Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2016/MTR/kruzik-0465809.pdf cav_un_auth*0304434 GA14-15264S GA ČR We showthe existence of an energetic solution to a quasistatic evolutionary model of shape memory alloys. Elastic behavior of each material phase/variant is described by polyconvex energy density. Additionally, to every phase boundary, there is an interface-polyconvex energy assigned, introduced in [49]. The model considers internal variables describing the evolving spatial arrangement of the material phases and a deformation mapping with its first-order gradients. It allows for injectivity and orientation-preservation of deformations. Moreover, the resulting material microstructures have finite length scales. BA 2017 2 RVO:67985556 http://hdl.handle.net/11104/0265683 1 S 3+4 Article Mathematics Applied|Mechanics MATHEMATICS.APPLIED|MECHANICS 1.331 0.533 999.9 0.00311 0.555 2406 0.593 Q2 1.242 92 Q2 35.351 58.4 Q3 Q2 74.314 2016 84963502798 SCOPUS 000387359600007 WOS cav_un_epca*0257715 ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik 0044-2267 1521-4001 Roč. 96 č. 11 2016 1347 1355 Wiley