Stress concentration of a strip with V- or U-shaped notches under transverse bending

Abstract

This paper deals with the stress concentration analyses of a 60°V-shaped single edge notch, a U-shaped single edge notch, 60°V-shaped double edge notches and U-shaped double edge notches in an infinite strip under transverse bending. The moment field induced by a moment in a semi-infinite plate is used as a fundamental solution to solve those problems. The results show that the Neuber formula gives underestimated stress concentration factors for the wide range of the notch depth. However, in the case of blunt notches, the Neuber solution of deep hyperbolic notches still gives a sufficient accuracy. The stress concentration factors of the 60°V-shaped notches and of the U-shaped notches are represented by diagrams. In addition, the stress concentration factors of a V-shaped notch in a semi-infinite plate and the effect of the notch angle on the stress concentration factor are also discussed in the appendix.