Accepted Paper
Inserted: 16 apr 2021
Last Updated: 19 apr 2022
Journal: SIAM J. Math. Anal. (SIMA)
Year: 2021
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.
Keywords: capacity, charged materials, mixed Eulerian-Lagrangian formulation, finite distortion
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