Waves of elastic stresses in the doubly-connected domain

Abstract

In this paper, we consider a nonstationary mixed problem of impact of a rigid plate on the face surface of the base body containing inside itself a central foreign inclusion. Formulated in terms of stresses and velocities of displacements, the mixed problem is modeled numerically by means of an explicit difference scheme of a through count, based on the method of the spatial characteristics. The results of a change in the wave fields in a doubly connected domain are presented in the form of graphs. The analysis of numerical information made it possible to investigate the dynamic effects of stress concentration in the neighborhood of the contact of a doubly-connected domain, as well as near the corner points of a foreign inclusion.

Problem on the Distribution of the Harmonic Type Relay Wave

“…Suppose that a flat harmonic wave propagates in the medium, i.e. potentials  и  will be given in the form of [1] (7) and for potentials  и  we get expressions…”