AXISYMMETRIC RESPONSES OF THERMOPIEZOELECTRIC FINITE CYLINDER

Abstract

This paper is concerned with theoretical treatment of transient responses of finite thermopiezoelectric cylinder under axisymmetric mechanical, electrical and thermal loading. The analytical general solutions for axisymmetric deformations of a thermopiezoelectric medium are obtained in terms of series of Bessel and modified Bessel functions of the first kind. A boundaryvalue problem corresponding to a finite solid thermopiezoelectric cylinder with electrically impermeable boundary condition under applied axisymmetric electromechanical loading and temperature change is solved by expanding the applied load in terms of Fourier-Bessel series. Accuracy of the present numerical solution scheme is confirmed by comparing with existing transient solution of an elastic cylinder. To portray the salient features of the coupling transient responses of finite solid thermopiezoelectric cylinders, selected numerical results are presented for displacements, stresses and temperature distributions inside the cylinders subjected to applied traction together with prescribed temperature at the lateral curve surface of the cylinder.