Within the scope of the plane (plane deformation) static problem of the theory of elasticity, the analysis of slip-lines at the tip of a normal rupture crack is carried out by the Wiener-Hopf method. The crack is reaching the partition boundary of two isotropic media having the angle point. The slip-lines are located over the media partition boundary. They are modeling the plastic zone around the crack tip in a quasi-brittle body for the case when the materials of contacting bodies are essentially stiffer than the more plastic join material.