Equations for the extension and flexure ofelectroelastic plates under strong electric fields

Abstract

A system of approximate equations for the extensional and flexural motion ofelectroelastic plates subject to large electric fields is derived from the variational equations ofelectroelasticity for small strain and cubic electric fields. The two-dimensional equations arederived by introducing an appropriate expansion for the mechanical displacement and electricpotential in the thickness-coordinate and integrating through the thickness. The resultingequations are reduced to the uncoupled systems of anisotropic extension and elementary flexure.The electroelastic constitutive equations are reduced to the form suitable for thin plates byrelaxing the appropriate plate stress resultants.