0567192 20230316110353.220230119235959.9 10.1007/978-3-030-90051-9_5 24 s. 309 P cav_un_epca*0568422978-3-030-90050-2133-156ChamSpringer Nature2021 Gradient Polyconvexity Shape Memory Alloys Mechanics cav_un_auth*0084149 Horák M. CZ cav_un_auth*0101142 Kružík Martin UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0445144 Pelech P. DE cav_un_auth*0367315 Schlömerkemper A. DE http://library.utia.cas.cz/separaty/2023/MTR/kruzik-0567192.pdf GX19-26143X GA ČR CZ cav_un_auth*0440774 We show existence of an energetic solution to a model of shape memory alloys in which the elastic energy is described by means of a gradient polyconvex functional. This allows us to show existence of a solution based on weak continuity of nonlinear minors of deformation gradients in Sobolev spaces. Admissible deformations do not necessarily have integrable second derivatives. Under suitable assumptions, our model allows for solutions which are orientation-preserving and globally injective everywhere in the domain representing the specimen. Theoretical results are supported by three-dimensional computational examples. BA 10000 10100 10101 2023 4 RVO:67985556 https://hdl.handle.net/11104/0339737 S 2021 SCOPUS PUBMED WOS cav_un_epca*0568422 Variational Views in Mechanics 978-3-030-90050-2 133 156 Cham Springer Nature 2021 Advances in Mechanics and Mathematics 46