Dynamic response of a line crack perpendicular to the interface between a functionally graded piezoelectric strip and a homogeneous strip

Abstract

In this paper, the dynamic fracture problem of a functionally graded piezoelectric material strip (FGPM strip) containing a crack perpendicular to the interface between the FGPM strip and a homogeneous layer is considered. It is assumed that the electro-elastic properties of the FGPM strip vary exponentially in the thickness direction, and that the crack faces are under a normal mechanical impact loading. The integral transform techniques and the dislocation density function are employed to reduce the problem to the solution of a singular integral equation. The dynamic stress intensity factors of the internal crack, the terminated crack and the edge crack are computed and are presented as a function of the normalized time for the various values of the nonhomogeneous and geometric parameters.