Analytical solutions of cracks emanating from an elliptical hole under shear

Based on the complex variable method, the analytical solutions of stress functions and stress intensity factors (SIFs) are provided for the plane problem of two collinear edge cracks emanating from an elliptical hole in an infinite plate under shear. The stress distribution along the horizontal axis is given in graphical forms, which conforms to Saint-Venant’s principle. The influences of crack length and ellipse shape on the stress intensity factors are evaluated. Comparing the analytical solutions with finite element method (FEM) results shows good coincidence. These numerical examples show that the present solutions are accurate.