A two-dimensional study of an elliptic piezoelectric plate compressed diametrically

Abstract

Based on the complex potential method, the two-dimensional problem of an elliptic piezoelectric plate is studied when the plate is compressed by a pair of concentrated forces along the y direction. Firstly, the complex potentials inside the plate are expressed in form of Faber series with unknown coefficients, and they are solved by using boundary conditions. Numerical examples show that the maximum longitudinal stress along the x axis exist at the center of the plate or on the boundary when the loads are applied in the y axis, and the magnitude is determined by the ratio of long to short half axes of the piezoelectric plate.