Intensity of Singular Stress Field at the Notch Tip of a V-Notched Bar.

Abstract

In this study, generalized stress intensity factors KIII, λ4 are calculated for a V-shaped notched round bar under torsion using the singular integral equation of the body force method. The body force method is used to formulate the problem as a singular integral equation, where unknown functions are densities of body forces distributed in an infinite body. In order to analyze the problem accurately, the unknown functions are expressed as piecewise smooth, functions using a fundamental density and power series, where the fundamental density is chosen to represent the skew-symmetric stress singularity of the form 1/γ1-λ4. Then, generalized stress intensity factors at the notch tip are systematically calculated for various shapes of V-shaped notches. The accuracy of Benthem-Koiter's formula proposed for a circumferential crack is also examined through the comparison with the present analysis.