Inhomogeneous thinning of imperfect dielectric elastomer films: Large deformation and nonlinear electromechanical instability

In this paper, we study the inhomogeneous thinning of a circular dielectric film with a concentric hole subjected to electromechanical loads. The effects of the hole size on the inhomogeneous thinning, the electro-cavitation and pull-in instability of soft dielectric films are seldom investigated. To clarify the highly nonlinear electromechanical behavior, we obtain a two-point boundary-value problem that is first reported in the thinning of...