Three-dimensional Green's functions in anisotropic piezoelectric solids

Explicit expressions for three-dimensional extended Green's displacements i n general anisotropic piezoelectric solids are derived. A very efficient pr ocedure for the numerical evaluation of the derivatives of the extended Gre en's displacements is also proposed. Numerical comparisons are carried out for a transversely isotropic piezoelectric solid for which exact closed-for m solutions are available. It is found that the extended Green's displaceme nts and their derivatives obtained with the present explicit formulation ar e 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 thes e equations by means of the boundary element method. (C) 1999 Elsevier Scie nce Ltd. All rights reserved.