The general problem for an arbitrarily oriented crack in a FGM layer

摘要

In this paper, the plane elasticity problem for an unconstrained FGM layer containing an arbitrarily oriented crack is considered. It is assumed that the elastic properties of the material are exponential functions of the thickness coordinate. The problem is formulated in terms of a system of Cauchy-type singular integral equations, which can be solved numerically. The stress intensity factors at the crack tips are computed for mechanical loads. A complete parametric study, by varying both the geometric and material parameters is conducted.