Three-dimensional green’s functions in anisotropic piezoelectric solids

Explicit expressions for three-dimensional extended Green's displacements in general anisotropic piezoelectric solids are derived. A very efficient procedure for the numerical evaluation of the derivatives of the extended Green's 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 Green's displacements and their derivatives obtained with the present explicit formulation are in perfect agreement with the exact closed-form solutions. These Green's 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. © 1999 Elsevier Science Ltd.