Stress Concentration Near an Elliptic Hole or a Parabolic Notch in a Quasiorthotropic Plane

Abstract

We consider the problem of stress distribution in an infinite quasiorthotropic plane containing an elliptic hole whose contour is free of external forces and a homogeneous stressed state is imposed at infinity. The solution of the problem is obtained with the help of the boundary transition from the known analytic solution for an elliptic hole in an orthotropic plane in the case where the roots of the characteristic equation approach each other. In the boundary case where the major semiaxis of the ellipse tends to infinity, these results yield the stress distribution in a plane weakened by a parabolic notch for two main types of deformation (symmetric tension and transverse shear).