0544766 20240103230118.120210817235959.9 85112707964 000686641200002 10.1007/s00033-021-01603-w 17 s. P cav_un_epca*02553790044-227572Springer Elastoplasticity Gradient polyconvexity Rate=independent solutions cav_un_auth*0101142 Kružík Martin UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR 50 K Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0018366 Zeman J. CZ http://library.utia.cas.cz/separaty/2021/MTR/kruzik-0544766.pdf https://link.springer.com/article/10.1007/s00033-021-01603-w GF21-06569K GA ČR cav_un_auth*0412957 GA18-03834S GA ČR cav_un_auth*0365435 We propose a model for rate-independent evolution in elastoplastic materials under external loading, which allows large strains. In the setting of strain-gradient plasticity with multiplicative decomposition of the deformation gradient, we prove the existence of the so-called energetic solution. The stored energy density function is assumed to depend on gradients of minors of the deformation gradient which makes our results applicable to shape-memory materials, for instance. WOS BA 10000 10100 10102 2022 2 RVO:67985556 http://hdl.handle.net/11104/0321821 1 S 174 3+4 Article Mathematics Applied C MATHEMATICS.APPLIED 2.211 0.824 8 0.00632 0.815 5001 72 1.025 32.16 2.07 1159 Q1 2.098 188 Q1 78.8 Q2 Q1 1.04 Q2 78.839 2021 85112707964 SCOPUS PUBMED 000686641200002 WOS cav_un_epca*0255379 Zeitschrift für angewandte Mathematik und Physik 0044-2275 1420-9039 Roč. 72 č. 1 2021 Springer