Determination of Stresses in an Anisotropic Strip with Holes by Using Singular Integral Equations and Green’s Solution

Abstract

By the method of successive approximations (Schwartz algorithm) and the Fourier integral transform, we construct a Green-type solution for an anisotropic strip with unloaded boundary. This solution is expressed in terms of the Lekhnitskii potentials with isolated poles. On the basis of the constructed solutions, we deduce singular integral equations for anisotropic plates with holes such that the boundary conditions imposed on the sides of the strip are identically satisfied. These equations are numerically solved by the method of mechanical quadratures. We also analyze the stress concentration in the vicinity of holes of different shapes contained in composite plates.