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 infinite thermopiezoelectric plate with an elliptic hole induced by temperature discontinuity. The Green's function satisfies free-traction-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 defined on crack faces is developed to study the interaction between crack and elliptic hole. Numerical results are presented to elucidate the effects of crack orientation on stress and electric displacement (SED) intensity factors and to illustrate the application of the proposed Green's function. (C) 1998 Elsevier Science Ltd. All rights reserved.