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 piezoelectric material containing an elliptical cavity are re-investigated by introducing exact electric boundary conditions on the hole boundary, and the corresponding modified solutions are obtained. By setting ε₀, the dielectric 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 generalized concentrated forces are obtained. When the hole is reduced to a slit crack, the expressions of generalized stress intensity factors are also provided. © 1999 Elsevier Science Ltd.