Curvature-dependent Eulerian interfaces in elastic solids

0578171 - ÚTIA 2024 RIV GB eng J - Článek v odborném periodiku
Brazda, K. - Kružík, Martin - Rupp, F. - Stefanelli, U.
Curvature-dependent Eulerian interfaces in elastic solids.
Philosophical Transactions of the Royal Society A-Mathematical Physical and Engineering Sciences. Roč. 381, č. 2263 (2023), č. článku 20220366. ISSN 1364-503X. E-ISSN 1471-2962
Grant CEP: GA ČR GF21-06569K
Institucionální podpora: RVO:67985556
Klíčová slova: elasticity * multi-phase materials * interfacial energy * varifolds * curvature varifolds
Obor OECD: Pure mathematics
Impakt faktor: 5, rok: 2022
Způsob publikování: Omezený přístup
http://library.utia.cas.cz/separaty/2023/MTR/kruzik-0578171.pdf https://royalsocietypublishing.org/doi/10.1098/rsta.2022.0366

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.
Trvalý link: https://hdl.handle.net/11104/0347211