Abstract: In this paper,a geometric model and a model of physical properties of the system of TiC-Ni functionally graded materials are given obtained from experiment. And with the two models,the influences of gradient exponent on stress intensity factors,strain energy density factors and its initiating angles are analyzed using the finite element method. The stress intensity factor and stress energy density factor of model Ⅰ under distributed load have the minimum values when P is 1.3, but the stress intensity factors and stress energy density factors of model Ⅱ under residual stress field or stable thermal field only have maximum ones. On the other hand, the influences of gradient exponent on fracture initiating angles under residual stress field or stable thermal field are much larger than under the distributed load.