Don Cossack State Institute of Food Technologies and Business (branch), MSUTU named after K.G. Razumovsky (PKU)
Abstract:
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
Keywords:acoustic properties, radiation, boundary integral equation, non-destructive testing, angular region, spaces of fractional smoothness.