Distribution of Stresses Near Angular Notches on an Orthotropic Elastic Plane Under Conditions of Antiplane Deformation

Abstract

By using a solution of the antiplane eigenvalue problem of the theory of elasticity for an elastic orthotropic wedge, we construct the distribution of singular stresses and displacements in a neighborhood of the tip of the corresponding angular notch under the conditions of antiplane deformation. By the method of singular integral equations, we solve the corresponding problem for an orthotropic plane with semiinfinite angular rounded notch and establish the relationship between the stress intensity and stress concentration factors at the sharp and rounded tips of angular notches.