Plane Eigenvalue Problems of the Theory of Elasticity for Orthotropic and Quasiorthotropic Wedges

We construct the characteristic equations for the plane eigenvalue problems of the theory of elasticity for orthotropic wedges with symmetric and antisymmetric stress distributions relative to their bisectors. Singular stresses are expressed via the stress intensity factors at the tip of the wedge. The corresponding results for a quasiorthotropic wedge were obtained by passing to the limit as the roots of the characteristic equation approach each other. We approximately determine the shape of the plastic zone near the tip of an orthotropic wedge under symmetric and antisymmetric loads.