0578171 20250310153335.720231118235959.9 85176354144 001103543200005 10.1098/rsta.2022.0366 14 s. P cav_un_epca*02547151364-503X381 elasticity multi-phase materials interfacial energy varifolds curvature varifolds cav_un_auth*0458081 Brazda K. AT 25 cav_un_auth*0101142 Kružík Martin UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR 25 A Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0458082 Rupp F. AT 25 cav_un_auth*0316230 Stefanelli U. AT http://library.utia.cas.cz/separaty/2023/MTR/kruzik-0578171.pdf https://royalsocietypublishing.org/doi/10.1098/rsta.2022.0366 GF21-06569K GA ČR cav_un_auth*0412957 We propose a sharp-interface model for a hyperelastic material consisting of two phases. In this model, phase interfaces are treated in the deformed configuration, resulting in a fully Eulerian interfacial energy. In order to penalize large curvature of the interface, we include a geometric term featuring a curvature varifold. Equilibrium solutions are proved to exist via minimization. We then use this model in an Eulerian topology optimization problem that incorporates a curvature penalization. WOS BA 10000 10100 10101 2024 4 2 R hod 4 4rh 4 20250310150553.6 4 20250310153335.7 RVO:67985556 https://hdl.handle.net/11104/0347211 S 20220366 Article Multidisciplinary Sciences C MULTIDISCIPLINARYSCIENCES 4.3 1.9 9.8 0.01958 1.478 25678 204 0.87 56.16 4.36 4725 Q1 4.300 262 Q1 83.2 Q1 Q2 1.05 Q1 83.2 2023 Soubory v repozitáři: kruzik-0578171.pdf 85176354144 SCOPUS PUBMED 001103543200005 WOS cav_un_epca*0254715 Philosophical Transactions of the Royal Society A-Mathematical Physical and Engineering Sciences 1364-503X 1471-2962 Roč. 381 č. 2263 2023