Three-dimensional Green’s functions for infinite anisotropic piezoelectric media

A direct, effective and concise method is adopted in this paper to find out the Green’s functions for infinite anisotropic piezoelectric media. The partial differential equations satisfied by the Green’s functions turn into a set of inhomogeneous algebraic equations after by using Fourier transform. Then inverse transform the solutions of the algebraic equations, the Green’s functions can be expressed by contour integral. Finally, the explicit expression can be obtained for the Green’s functions by using residual theory. The method demonstrated in this paper is easier to follow by people without knowledge of Radon transform, which has been used to obtain the Green’s functions by others.