Variational Model of a Hyperelastic Capacitor

Abstract: This talk discusses an interplay between elastic deformations and electrostatic capacitance for charged elastic materials. We consider a variational model, where electroelastic energy involves coupling elastic response and electrostatics using a capacitary term naturally defined in Eulerian coordinates. The ensuing electroelastic energy is then of mixed Lagrangian-Eulerian type. We study the continuity properties of the capacitary terms under the convergence of the deformations and prove the existence of minimizers.

MathematicsPhysics

Audience: researchers in the topic

Nečas Seminar on Continuum Mechanics

Series comments: This seminar was founded on December 14, 1966.

Faculty of Mathematics and Physics, Charles University, Sokolovská 83, Prague 8. If not written otherwise, we will meet on Mondays at 15:40 in lecture hall K3 (2nd floor)