We investigate equilibria of charged deformable materials via the minimization of an electroelastic energy. This involves 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.
Equilibria of charged hyperelastic solids
U Stefanelli
2022
Abstract
We investigate equilibria of charged deformable materials via the minimization of an electroelastic energy. This involves 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.File in questo prodotto:
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