0519027 20240103223333.320200107235959.9 85061900966 000511320000002 10.1007/s10957-019-01489-9 16 s. P cav_un_epca*02570610022-32391841 (2020)5-20Springer Gradient polyconvexity Invertibility of deformations Shape-memory alloys cav_un_auth*0101142 Kružík Martin UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory 34 K Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0374200 Pelech P. CZ cav_un_auth*0374201 Schloemerkemper A. DE http://library.utia.cas.cz/separaty/2020/MTR/kruzik-0519027.pdf https://link.springer.com/article/10.1007/s10957-019-01489-9 GA17-04301S GA ČR cav_un_auth*0347023 GA18-03834S GA ČR cav_un_auth*0365435 GF16-34894L GA ČR CZ cav_un_auth*0331681 We show the 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 the 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. WOS BA 10000 10100 10101 2021 3 RVO:67985556 http://hdl.handle.net/11104/0304160 S 3+4 Article Operations Research Management Science|Mathematics Applied C MATHEMATICS.APPLIED|OPERATIONSRESEARCH&MANAGEMENTSCIENCE 2.310 0.5 11.7 0.01064 1.016 8914 105 1.109 30.7 1.97 1193 Q1 1.959 208 Q1 74.367 61.8 Q2 Q1 0.79 Q2 79.057 2020 85061900966 SCOPUS PUBMED 000511320000002 WOS cav_un_epca*0257061 Journal of Optimization Theory and Applications 0022-3239 1573-2878 Roč. 184 č. 1 2020 5 20 Springer