Equilibria of charged hyperelastic solids

Prelegent(ci)

Anastasia Molchanova

Afiliacja

University of Vienna

Termin

28 października 2021 12:30

Informacje na temat wydarzenia

Zoom

Seminarium

Seminarium Zakładu Równań Fizyki Matematycznej

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We investigate the equilibria of charged deformable materials via the minimization of 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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