0504366 20240103222001.020190503235959.9 85065144275 000475701000008 10.1007/s00205-019-01391-8 23 s. cav_un_epca*02561870003-95272341 (2019)351-373Springer phase field model shape memory alloys Lagrangean and Eulerian description cav_un_auth*0374841 25 Grandi D. IT cav_un_auth*0101142 Department of Decision Making Theory 25 Kružík Martin UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0374842 25 Mainini E. IT cav_un_auth*0316230 Stefanelli U. AT http://library.utia.cas.cz/separaty/2019/MTR/kruzik-0504366.pdf https://link.springer.com/article/10.1007%2Fs00205-019-01391-8 cav_un_auth*0331681 GF16-34894L GA ČR CZ cav_un_auth*0365435 GA18-03834S GA ČR We analyze a phase-field approximation of a sharp-interface model for two-phase materials proposed by Šilhavý (in: Hackl (ed) IUTAM symposium on variational concepts with applications to the mechanics of materials, pp 233–244, Springer, Dordrecht, 2010. J Elast 105:271–303, 2011). The distinguishing trait of the model resides in the fact that the interfacial term is Eulerian in nature, for it is defined on the deformed configuration. We discuss a functional frame allowing for the existence of phase-field minimizers and Γ -convergence to the sharp-interface limit. As a by-product, we provide additional detail on the admissible sharp-interface configurations with respect to the analysis in Šilhavý (2010, 2011). WOS BA 10000 10100 10101 2020 4 4 A hod 4ah 20231122143955.7 RVO:67985556 http://hdl.handle.net/11104/0296332 1 Department of Decision Making Theory UTIA-B 10102 MATHEMATICS, APPLIED S 3+4 Review Biotechnology Applied Microbiology|Toxicology C MATHEMATICS.APPLIED|MECHANICS 2.745 0.796 21.2 0.01838 2.467 9518 118 3.420 37.18 2.51 1019 Q1 2.247 142 Q1 98.956 76.4 Q1* Q1* 1.25 Q1 90.613 2019 Soubory v repozitáři: kruzik-0504366.pdf 85065144275 SCOPUS PUBMED 000475701000008 WOS cav_un_epca*0256187 Archive for Rational Mechanics and Analysis 0003-9527 1432-0673 Roč. 234 č. 1 2019 351 373 Springer