Traction boundary integral equations for anisotropic 3D bodies containing cracks and initial strains or stresses

This paper deals with the boundary formulation in a fully anisotropic 3D medium. First, the crack problems are investigated and the corresponding boundary integral equations are derived for both the cases of the infinite body (with an embedded crack) and a finite body with an embedded or surface crack. Next, a boundary integral equation for bodies subjected to a distribution of initial strains or stresses is presented, which concerns both interior and exterior problems. Detailed mathematical conditions for the results are specified throughout.