Thermoelectroelastic GreenÕs function for thermal load inside or on the boundary of an elliptic inclusion

The thermoelectroelastic GreenÕs functions are presented for an in®nite piezoelectric plate with an elliptic inclusion of dissimilar material induced by a thermal load located inside or on the boundary of the elliptic inclusion. The load may be a point heat source and the thermal analog of a line dislocation with temperature discontinuity. The derivation is based on the Stroh formalism, conformal mapping and the method of analytical continuation. The study shows that the thermoelectroelastic GreenÕs functions for inclusion problems are composed of a particular solution and a corrective solution. The special case when the inclusion becomes a hole is also considered. Based on the GreenÕs function developed and the integral equation approach, the stress and electric displacement (SED) intensity factors for an in®nite plate containing an inclusion and a crack are analyzed and comparison is made with those from the ®nite element method (FEM) to verify the accuracy of the proposed formulation. Ó 1999 Elsevier Science Ltd. All rights reserved.