On correctness of mathematical modeling method of acoustic radiation process from linear defect in angular area

This work is devoted to the analysis of vibrations in an elastic body in the form of a right dihedral angle excited by a linear defect generating acoustic radiation signals. It is assumed that during the growth process, the defect reaches the top of the angle, the boundaries of which are rigidly fixed. The author studied the problems of the correct application of the methods of the dynamic theory of elasticity for modeling this process. This situation arises when studying the problem of the reliability of the junction of elements of technological equipment operating in a dynamic mode. A similar situation arises in the geophysical analysis of wave processes in the angular blocks of the earth's crust. The problem is reduced to the analysis of some boundary integral equation with respect to the jump in the amplitude of the stresses at the defect. The questions of solvability of the equation in spaces of fractional smoothness are studied