0576561 20240402214535.020231017235959.9 85166623030 001023736600003 10.4171/AIHPC/51 36 s. P cav_un_epca*02561240294-1449403 (2023)557-592EMS Press magnetoelasticity Eulerian-Lagrangian variational problems rate-independent processes cav_un_auth*0456538 Bresciani M. AT 33 A cav_un_auth*0417358 Davoli E. AT 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. http://library.utia.cas.cz/separaty/2023/MTR/kruzik-0576561.pdf https://ems.press/journals/aihpc/articles/7168658 8J19AT013 GA MŠk CZ cav_un_auth*0385123 GF19-29646L GA ČR CZ cav_un_auth*0385134 We investigate variational problems in large-strain magnetoelasticity, in both the static and the quasistatic settings. The model contemplates a mixed Eulerian–Lagrangian formulation: while deformations are defined on the reference configuration, magnetizations are defined on the deformed set in the actual space. In the static setting, we establish the existence of minimizers. In particular, we provide a compactness result for sequences of admissible states with equi-bounded energies which gives the convergence of the composition of magnetizations with deformations. In the quasistatic setting, we consider a notion of dissipation which is frame-indifferent and we show that the incremental minimization problem is solvable. Then we propose a regularization of the model in the spirit of gradient polyconvexity and we prove the existence of energetic solutions for the regularized model. WOS BA 10000 10100 10101 2024 3 RVO:67985556 https://hdl.handle.net/11104/0346491 S Article Mathematics Applied C MATHEMATICS.APPLIED 2.2 0.9 15 0.00491 2.107 3753 79 2.641 38.78 1.78 295 Q1 1.700 29 Q1 77.6 Q1* Q1* 1.05 Q1 77.6 2023 85166623030 SCOPUS PUBMED 001023736600003 WOS cav_un_epca*0256124 Annales de l'Institut Henri Poincaré. Analyse non Linéaire Roč. 40 č. 3 2023 557 592 0294-1449 1873-1430 EMS Press