BOUNDARY INTEGRAL FORMULATIONS FOR 3-DIMENSIONAL ANISOTROPIC PIEZOELECTRIC SOLIDS

A boundary integral equation method is applied to the solutions of thr ee dimensional piezoelectric solids. Based on the reciprocal relations , a pair of boundary integral formulae were formulated for evaluation of the fields in the medium. The Green's functions and their first par tial derivatives employed in the formulations are evaluated numericall y from the line integral solutions derived from the Fourier transform. By constructing some augmented matrices, we show that the topic an be treated systematically as that in the uncoupled elastic and dielectri c problems. In illustration, we present results for the internal field s of a spherical cavity in an infinite piezoelectric medium loaded by a uniform traction on its boundary. Two piezoelectric ceramics, PZT-6B and gallium arsenide, are considered in the calculations. Some compar isons are made with solutions of purely elastic solids and with our re cent calculations based on the finite element method.