Electroelastic stress state of a piezoceramic body with a paraboloidal cavity

The static equilibrium of an electroelastic transversely isotropic space with a paraboloidal cavity under axisymmetric mechanical and electric loads is analyzed. Paraboloidal coordinates and special harmonic functions are used to obtain an exact solution. The distribution of stresses and electric-flux density over the surface of the cavity subject to internal pressure is analyzed as an example __________ Translated from Prikladnaya Mekhanika, Vol. 42, No. 9, pp. 59–69, September 2006.