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

A system of approximate equations for the extensional and ~exural motion of electroelastic plates subject to large electric _elds is derived from the variational equations of electroelasticity for small strain and cubic electric _elds[ The two!dimensional equations are derived by introducing an appropriate expansion for the mechanical displacement and electric potential in the thickness!coordinate and integrating through the thickness[ The resulting equations are reduced to the uncoupled systems of anisotropic extension and elementary ~exure[ The electroelastic constitutive equations are reduced to the form suitable for thin plates by relaxing the appropriate plate stress resultants