USE OF THE INDIRECT APPROACH OF THE BOUNDARY ELEMENT METHOD TO THE STUDY OF THE DYNAMIC STRESS STATE OF PLATE ELEMENTS WITH INCLUSIONS

Abstract

The paper presents a numerical implementation of the method for studying the stress state of infinite plates with rigid
inclusions. The problem was solved based on the combined use of the method of boundary integral equations and the apparatus
of the theory of functions of a complex variable. The numerical implementation of the proposed approach was carried out using
the method of mechanical quadratures and collocation. Testing of the proposed approach's effectiveness and accuracy was
carried out to study the dynamic stress state of a plate element with a rigid fixed circular inclusion under the action of an
incident compression wave. The obtained numerical solutions were compared with the corresponding analytical solutions
known in the literature. The deviation of the results was no more than 3%. The effectiveness and versatility of the developed
approach are demonstrated.