Stress intensity factors for cracks emanating from a curvilinear hole in an anisotropic plane under arbitrary loadings

Abstract

Based on a specific fundamental solution, which is due to a point force or a concentrated moment acting in an infinite anisotropic plane with a crack, stress intensity factors for problems of a single or two collinear edge cracks emanating from a curvilinear hole can be obtained by satisfying the traction boundary condition on the hole. The fundamental solution used in this study considers inherently the crack geometry and the resultant boundary solutions apply only to the smooth hole. Thus the difficulty in numerical simulation arisen from crack tip singularity can be circumvented. Numerical examples evaluating stress intensity factors for the cracks originating from a circular or an elliptical hole subjected to various loadings are illustrated. The results are in excellent agreement with known solutions. Depending on geometry and the type of loading, the analysis shows that the effect of anisotropy on stress intensity factors may be strong or insignificant. Even under the uniaxial tension or uniform shear loading condition, mixed-mode deformation can still be observed due to the in-plane normal-shear coupling in anisotropy.