Alternative boundary integral equations for fracture mechanics in 2D anisotropic bodies

An alternative dual boundary element formulation for generally anisotropic linear elastic twodimensionalbodies is presented in this contribution. The formulation is based on the decomposition of thedisplacement field into the sum of a vector field satisfying the anisotropic Laplace equation and the gradientof the classic Airy stress function. By suitable manipulation of the integral representation of the anisotropicLaplace equation, a set of alternative integral equations is obtained, which can be used in combination withthe displacement boundary integral equation for the solution of crack problems. Such boundary integralequations have the advantage of avoiding hyper-singular integrals.