The fracture analysis of an arbitrarily oriented crack in the functionally graded material under in-plane impact loading

The plane problem for a infinite functionally graded material containing a finite crack subjected to the dynamic impact loads is studied. The crack arbitrarily oriented with respect to the direction of property gradient is considered. The transient crack problem is reduced to solving a system of Cauchy-type singular integral equation in the Laplace transform domain by using the Laplace and Fourier integral transforms. The crack-tip response in the physical domain is recovered via the inverse Laplace transform and the values of dynamic stress intensity factors are obtained as a function of time. The effects come from the crack orientation and the nonhomogeneous material parameter on the dynamic stress intensity factors are discussed graphically.