Plane crack problem for functionally graded strip with arbitrarily distributed material properties

In this paper the plane elasticity problem for a functionally graded coating containing a crack bonded to homogeneous material substrate has been considered. A multi-layered model is employed to model arbitrary variations of material properties based on two linear-distributed material compliance parameters. By utilizing the Fourier transformation technique and the transfer matrix method, the mixed boundary problem is reduced to a system of singular integral equations that are solved numerically. The influences of the graded variation of material parameters, geometric parameters and graded parameter on the stress intensity factors are investigated. The numerical results show that the geometric parameters, graded variation of material parameters and graded parameters have significant effects on the stress intensity factors.