Electroelastic State of a Prolate Piezoceramic Spheroid with Two Electrodes

Abstract

The electroelastic problem for a transversely isotropic prolate ceramic spheroid is solved explicitly. The spheroid surface is free from external forces. The case is considered where the piezoceramic body is subjected to a given potential difference between electrodes partially covering the surface at the vertices. The normal component of electric-flux density is equal to zero on the noneletroded portion of the surface. Plots of normal stresses in the symmetry plane of the piezoceramic body are given Piezoceramic materials are finding ever-widening application in various industries, which requires further in-depth study of the deformation of piezoceramic bodies subjected to mechanical and electric loads. Significant results have been obtained on the influence of the piezoelectric effect on the static and dynamic deformation of piezoceramic bodies [1-3, 5-6].Here we will find the explicit solution to the electroelastic problem for a transversely isotropic prolate ceramic spheroid. The spheroid surface is free from external forces. We will consider the case where the piezoceramic body is subjected to a given potential difference between electrodes partially covering the body at the vertices. The normal component of electric-flux density is equal to zero on the noneletroded portion of the surface. We will also determine the stresses in the symmetry plane of the spheroid.