Problems of radially polarized piezoelastic bodies

In this paper\ three displacement functions are introduced to simplify the basic equations of a radially polarized\ spherically isotropic\ piezoelectric medium[ By expanding the displacement functions as well as the electric potential in terms of spherical harmonics\ the basic equations are converted to an uncoupled Euler type\ second!order ordinary di}erential equation and a coupled system of three such ones[ Based on the well!known solution to the Euler equation\ the general solution for the static problem is obtained[ Some axisymmetric problems are then considered[ It is noted that the present analysis is an extension of that of spherically isotropic pure elasticity "Chen\ 0855#[