0443017 20240103205936.820150415235959.9 000349678300012 84920053875 10.3934/dcds.2015.35.2615 9 s. P cav_un_epca*02558981078-0947356 (2015)2615-2623AIMS Press magnetoelasticity magnetostrictive solids incompressibility existence of minimizers quasistatic evolution energetic solution cav_un_auth*0101142 Kružík Martin Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory 34 Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0316230 Stefanelli U. AT 33 cav_un_auth*0018366 Zeman J. CZ 33 http://library.utia.cas.cz/separaty/2015/MTR/kruzik-0443017.pdf GA13-18652S GA ČR cav_un_auth*0292653 We investigate a variational theory for magnetoelastic solids un- der the incompressibility constraint. The state of the system is described by deformation and magnetization. While the former is classically related to the reference conguration, magnetization is dened in the deformed congura- tion instead. We discuss the existence of energy minimizers without relying on higher-order deformation gradient terms. Then, by introducing a suitable pos- itively 1-homogeneous dissipation, a quasistatic evolution model is proposed and analyzed within the frame of energetic solvability. 2016 BA 3 4 A hod 4ah 20231122140911.1 RVO:67985556 http://hdl.handle.net/11104/0246071 1 Department of Decision Making Theory UTIA-B 10102 MATHEMATICS, APPLIED S MATHEMATICS|MATHEMATICS.APPLIED 1.168 0.353 5.8 0.01809 1.03 2790 1.568 Q1 1.047 272 Q1 80.279 79.1 Q1 Q1* 86.699 2015 Soubory v repozitáři: kruzik-0443017.pdf 84920053875 SCOPUS 000349678300012 WOS cav_un_epca*0255898 Discrete and Continuous Dynamical Systems 1078-0947 1553-5231 Roč. 35 č. 6 2015 2615 2623 AIMS Press