Three-dimensional Green’s functions in anisotropic piezoelectric solids

Explicit expressions for three-dimensional extended Greenʹs displacements in general anisotropic piezoelectric solids are derived. A very ecient procedure for the numerical evaluation of the derivatives of the extended Greenʹs displacements is also proposed. Numerical comparisons are carried out for a transversely isotropic piezoelectric solid for which exact closed-form solutions are available. It is found that the extended Greenʹs displacements and their derivatives obtained with the present explicit formulation are in perfect agreement with the exact closed-form solutions. These Greenʹs functions can be used in the boundary integral equations for piezoelectric solids of general anisotropy and for subsequent numerical solutions of these equations by means of the boundary element method.