Determination of Stresses Near Elastic Inclusions in Plates of Complex Shape

Abstract

We develop an algorithm for the determination of stresses in plates of complex shape containing elastic inclusions. The algorithm is based on the application of modified integral equations for which the boundary conditions for stresses are identically satisfied on the interfaces. The integral equations are solved numerically with the help of the method of mechanical quadratures. The investigation of stresses near inclusions in plates of different shape is performed. We establish characteristic features of the distribution of stresses depending on the shape of inclusions and elastic characteristics of the materials.