1.To develop a proper mathematical model, in terms of weakly singular boundary integral equations, that governs the data essential and sufficient for computing both the mixed-mode stress intensity factors and the T-stress for cracks in three-dimensional elastic media.
2.To develop an efficient and accurate numerical technique to extract both the stress intensity factors and the T-stress for isolated cracks in both isotropic and generally anisotropic linearly elastic infinite media.
3.To develop an efficient and accurate numerical technique to extract both the stress intensity factors and the T-stress for isolated cracks in both isotropic and generally anisotropic linearly elastic finite body.