Inserted: 16 apr 2021
Last Updated: 16 apr 2021
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.
Keywords: capacity, charged materials, mixed Eulerian-Lagrangian formulation, finite distortion