First-order shear deformation theory solution for a circular piezoelectric composite plate under axisymmetric load

Abstract

The first-order shear deformation theory is presented for a circular piezoelectric composite plate consisting of a laminated elastic core and piezoelectric layers bonded to it, subjected to axisymmetric static thermoelectromechanical load. All the layers are considered to be polar orthotropic. The variation of potential across the actuating layer is a priori approximated as linear. The direct piezoelectric effect is neglected. Closed form solutions of the governing equations are presented for some cases of material symmetries and lamination schemes. The effect of the out-of-plane and in-plane boundary conditions on the response of piezoelectric composite plates under specific electromechanical loads is illustrated for some lamination schemes.