A further investigation of Green's functions for a piezoelectric material with a cavity or a crack

In this paper, the Green's functions of an infinite two-dimensional piezoel ectric material containing an elliptical cavity are re-investigated by intr oducing exact electric boundary conditions on the hole boundary, and the co rresponding modified solutions are obtained. By setting epsilon(0), the die lectric constant in the cavity, to be zero, the modified Green's functions are returned to the conventional ones (Lu and Williams, 1998). Furthermore, the hoop stresses along the hole boundary under the action of a set of gen eralized concentrated forces are obtained. When the hole is reduced to a sl it crack, the expressions of generalized stress intensity factors are also provided. (C) 1999 Elsevier Science Ltd. All rights reserved.