Partial problems of stress state in composed wedge under a concentrated load at its vertex

Problems of determination of stress-strain state in isotropic homogeneous wedge under concentrated load at the vertex are presented in most of the monographs on theory of elasticity. Solutions of similar problems for anisotropic wedges are presented in monograph by S.G. Lekhnickiy. In the present paper wedges, composed of two homogeneous ones, are considered. It is shown, that the elementary solutions, representing logarithmic singularity of displacements are insufficient for general solution of the problem. A partial class of problems is determined, for which analytic solutions are obtained.