Dynamic response for functionally graded materials with penny-shaped cracks

摘要

This paper provides a method for studying the penny-shaped cracks configuration in functionally graded material(FGM)structures subjected to dynamic or steady loading. It is assumed that the FGM are transversely isotropic and all the material properties only depend on the axial coordi- nate z. In the analysis, the elastic region is treated as a number of layers. The material properties are taken to be constants for each layer. By utilizing the Laplace transform and Hankel transform tech- nique, the general solution for the layers are derived.