Point force and point electric charge in infinite and semi-infinite transversely isotropic piezoelectric solids

Abstract

For an infinite three-dimensional transversely isotropic piezoelectric material, Green's functions (which give the fuli set of electromechanical fields due to a point electric charge and an arbitrarily oriented point force) are derived in elementary functions in a simple way, using methods of the potential theory. For a semi-infinite transversely isotropic piezoelectric material. Green's functions are also derived, but in a limited way: a point force and a point electric charge are assumed to be applied at the boundary of the half-space. The latter solutions constitute a generalization of Boussinesqs and Cerruti's problems of elasticity for piezoelectric materials. The strength of the piezoeffect (the difference from the purely elastic case) is estimated for the example of the piezoceramics PZT-6B.