关键词: 横观各向同性压电材料, Boussinesq解, 势函数

Abstract: Based on the symmetry properties of the material constants, the Boussinesq solution in analytic form was obtained by Fourier transforms for a transversely isotropic piezoelectric half-space submitted with a normal point force and a point charge. The associated potential function was also discussed. By Fourier transforms method, the boundary value problem of partial differential equations was transformed to algebraic equations. Then by the principle of superposition and solving two sets of algebraic equations, the interaction between the point force and the point charge was uncoupled. Compared with the tentative semi-inverse method, the method in this paper is direct and effective.

Key words: transversely isotropic piezoelectric media, Boussinesq solution, potential function