Equilibria of charged hyperelastic solids
Analysis of PDEs
2021-04-19 v1
Abstract
We investigate equilibria of charged deformable materials via the minimization of an electroelastic energy. This features the coupling of elastic response and electrostatics by means of a capacitary term, which is naturally defined in Eulerian coordinates. The ensuing electroelastic energy is then of mixed Lagrangian-Eulerian type. We prove that minimizers exist by investigating the continuity properties of the capacitary terms under convergence of the deformations
Cite
@article{arxiv.2104.08079,
title = {Equilibria of charged hyperelastic solids},
author = {Elisa Davoli and Anastasia Molchanova and Ulisse Stefanelli},
journal= {arXiv preprint arXiv:2104.08079},
year = {2021}
}