Closed-form expressions of the electro-elastic field induced by a piezoelectric screw dislocation in a functionally graded piezoelectric plane and half-plane were derived. The material properties were assumed to vary exponentially along the x and y-directions. The solution for a screw dislocation in a functionally graded piezoelectric plane was obtained through introduction of two generalized stress functions. The solution for a screw dislocation in a functionally graded piezoelectric half-plane was derived by using the method of image. It was also found that the interaction between a piezoelectric screw dislocation and a circular insulating hole in the functionally graded piezoelectric material could be solved by using series expansion method.

On the Screw Dislocation in a Functionally Graded Piezoelectric Plane and Half-Plane. X.Wang, E.Pan: Mechanics Research Communications, 2008, 35[4], 229-36