Stress analysis of Piezoelectric cylinder under surface load and electric field

Abstract

In this paper, the electroelastic fields within a finite transversely isotropic piezoelectric cylinder subjected to axisymmetric loading and electric field at the surface are examined. The general solution for the cylinder is derived by using the displacement potential functions to uncouple the governing differential equations. The general solution is presented in terms of Fourier-Bessel series, which is trigonometric and hyperbolic functions in the z -direction and Bessel functions in the r -direction. The boundary value problems corresponding to vertical loading and electric field at the top and bottom surfaces of the cylinder are presented and the arbitrary constants appearing in the general solutions are determined. For applied electrical field, two types of electrodes are considered, i.e., a flexible electrode with the smooth contact surface and a rigid electrode with the rough surface. Selected numerical results for electroelastic fields of a piezoelectric cylinder under mechanical and electrical loading are presented to demonstrate influence of various governing parameters on the cylinder.