A Note for the Crack Problem of Functionally Graded Materials

Employing the power-type function of material properties, a crack lying between the functionally graded materials (FGMs) and homogeneous substrate is studied by an asymptotic analysis from that of bimaterials, J-integral and the numerical calculations. The present results show that when the curve of the material property is concave, i.e. the power (m) of function of material property is great than 1, the stress distribution near the crack-tip is the same as that of homogeneous materials, which is in agreement with previous findings. However, if the curve of the material property is convex corresponding to 0< m <1, our results show that the stress distribution is strongly affected by m and it can be obtained asymptotically from that of bimaterials.