DYNAMIC FRACTURE BEHAVIOR IN FUNCTIONALLY GRADED PIEZOELECTRIC BIMATERIALS WITH INTERFACIAL CRACKS EMANATING FROM A CIRCULAR CAVITY

摘要

This paper aims to develop an effective method for the dynamic fracture analysis of permeable interfacial cracks emanating from a circular cavity in two dissimilar functionally graded piezoelectric materials (FGPMs) under anti-plane incident SH-wave. The material properties vary exponentially in the same manner along the direction perpendicular to the interface. Green function method, coordinate transformation method, conjunction and crack-deviation techniques are adopted to build mathematical model, so that the crack problem is reduced to solving a set of the first kind of Fredholm's integral equations and the dynamic stress intensity factors (DSIFs) are expressed theoretically. A comparison is accomplished between the model in this paper and the model with a Griffith crack in FGPMs to verify the validity of the present method. Parametric studies reveal the dependence of DSIFs on the geometry of cavity and cracks, the characteristics of incident wave and the inhomogeneity of materials.