Influences of the continuity of material properties on the stress intensity factors of an edge crack

To solve the stress intensity factors (SIFs) of cracks in the materials with complex interfaces effectively, an interaction integral method is developed. This method does not require material properties to be differentiable. Furthermore, the interaction integral method is still valid when the integral domain contains interfaces. By using the interaction integral method combined with the extended finite element method (XFEM), a representative fracture problem is solved to verify the accuracy. Finally, the influences of material continuity on the SIFs of an edge crack are investigated with the interaction integral method.