The numerical and analytical solution of flat tasks of the theory of cracks in the mixed statement

In this paper we present a numerical-analytical solution of plane problems of disclosure shores planar crack with mixed boundary conditions. The decision by one of the boundary element method - the method of discontinuous displacements. Normal and shear disclosure shores of the gaping cracks approximated functional dependencies by using the method of least squares. The analytical expression of the stress intensity factors of the 1st and 2nd kind in the form of limiting relations based on discontinuous displacements. The positions of development zones and stagnation cracks on the basis of power criterion of brittle fracture of continuous media with a crack.