Analysis of two dissimilar functionally graded strips containing interface crack under plane deformation

In this paper the plane elasticity problem of two bonded dissimilar functionally graded strips containing an interface crack is studied. The governing equation in terms of Airy stress function is formulated and exact solutions are obtained for several special variations of material properties in Fourier transformation domain. The mixed boundary problem is reduced to a system of singular integral equations that are solved numerically. Numerical results show that fracture toughness of materials can be greatly improved by graded variation of elastic modulus and the influence of the specific form of elastic modulus on the fracture behavior of FGM is limited.