Bibliography
Journal Article
Curvature-dependent Eulerian interfaces in elastic solids
, , ,
: Philosophical Transactions of the Royal Society A-Mathematical Physical and Engineering Sciences vol.381,
: GF21-06569K, GA ČR
: elasticity, multi-phase materials, interfacial energy, varifolds, curvature varifolds
: http://library.utia.cas.cz/separaty/2023/MTR/kruzik-0578171.pdf
: https://royalsocietypublishing.org/doi/10.1098/rsta.2022.0366
(eng): 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.
: BA
: 10101