Dynamic Response of an Infinite Row of Parallel Cracks Normal 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 an infinite row of cracks normal 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 normal mechanical impact loadings. 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 cracks are computed and are presented as a function of the normalized time for the various values of the nonhomogeneous and geometric parameters.