Stress state of an elastic orthotropic medium with an elliptic crack under tension and shear

The static-equilibrium problem for an elastic orthotropic space with an elliptical crack is solved. The stress state of the space is represented as a superposition of the principal and perturbed states. To solve the problem, Willis ' s approach is used. It is based on the fourier transform in spatial variables, the Fourier-transformed Green function for anisotropic material, and Cauchy ' s residue theorem. The contour integrals appearing during solution are evaluated using Gaussian quadratures. The results for particular cases are compared with those obtained by other authors. The influence of anisotropy on the stress intensity factors is studied.