INTEGRAL EQUATIONS OF WAVE DIFFRACTION PROBLEM IN ELASTIC MEDIA WITH INCLUSIONS UNDER THE ACTION OF NON-STATIONARY LOAD

Abstract

The work developed an algorithm for implementing the indirect approach of the boundary element method to the study of the stress-strain state for bodies with inclusions under the action of non-stationary loading. Using the method of integral transformations in the case of time-varying loads made it possible to reduce the solution of the non-stationary problem to a finite system of problems in the frequency domain. In the paper, potential representations of the fundamental functions for the flat dynamic problem of the theory of elasticity are obtained. Using the basic approaches of the boundary element method, the integral equations of the second main problem for bodies with inclusions were obtained in the work. It was established that the kernels of the obtained integral equations contain singular and hypersingular features.