“…In the major part of works devoted to the investigation of two-dimensional static problems of the theory of elasticity for wedge-shaped domains with cracks at the vertices and also in some other problems concerning the lines of discontinuities of displacements at the angular points, the analyzed bodies are considered as homogeneous [1,6,8,10,[12][13][14]. In the case of piecewise homogeneous bodies, the researchers studied solely the problems of the lines of discontinuity of displacements at the ends of interface cracks and also at the end of a crack appearing on the interface of the media [4,5].…”