Thermoelectroelastic Green's function for a piezoelectric plate containing an elliptic hole

Using Stroh's formalism and conformal mapping, Green's functions are obtained in closed-form for an in®nite thermopiezoelectric plate with an elliptic hole induced by temperature discontinuity. The Green's function satis®es freetraction-charge as well as thermal-insulated conditions along the hole boundary. Based on the Green's function, a system of singular integral equations for the unknown temperature discontinuity de®ned on crack faces is developed to study the interaction between crack and elliptic hole. Numerical results are presented to elucidate the e€ects of crack orientation on stress and electric displacement (SED) intensity factors and to illustrate the application of the proposed Green's function. Ó 1998 Elsevier Science Ltd. All rights reserved.