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arXiv · 2104.08079

Equilibria of charged hyperelastic solids

Elisa Davoli·Anastasia Molchanova·Ulisse Stefanelli
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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

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Elisa Davoli, Anastasia Molchanova, Ulisse Stefanelli. 2021-04-16. Equilibria of charged hyperelastic solids. https://arxiv.org/abs/2104.08079

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