Three dimensional axisymmetric piezothermoelastic solution of clamped circular elastic plate bonded to piezoceramic plate

Abstract

A three dimensional (3D) solution in terms of potential functions is presented for a finite clamped circular isotropic elastic plate bonded to a piezoceramic plate subjected to axisymmetric thermoelectromechanical load. The boundary and interface conditions are satisfied using Fourier-Bessel expansions yielding an infinite system of algebraic equations for the arbitrary constants. These are solved to any desired degree of accuracy by truncating to a finite set of equations. Results are presented to illustrate the effect of the thickness parameter. The present solution would help to ascertain the accuracy and range of validity of two dimensional (2D) theories of piezoelectric hybrid plates