Stress intensity factors for a semi-elliptical surface crack in a T-shaped geometry Part 1: Tension and bending results

Abstract

This paper considers mode I stress intensity factors for a T-shaped geometry, representative of one flange and part of the web of a steel 1-section, which contains a flat semi-elliptical surface crack in the flange. Several crack and T-section geometries are analysed, for both tension and bending, using the finite element method. The very good agreement between the J integral and displacement methods increases confidence in the finite element solutions. The presence of the web and the flange-web intersection have a significant influence on the stress intensity factors of the plate. Based on a least-squares approximation, the stress intensity factors for the T-shaped geometry are given in the form of equations which may prove to be useful in fatigue and fracture evaluation.