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

摘要

In this study, generalized stress intensity factors K_(I,λ1) and K_(II,λ2) are calculated for a V-shaped notched round bar under tension using the singular integral equation of the body force method. The body force method is used to formulate the problems as a system of singular integral equations with Cauchy-type or logarithmic type singularities, where the unknown functions are the densities of body forces distributed in an infinite body. In order to analyze the problems accurately, the unknown functions are expressed as piecewise smooth functions using two types of fundamental densities and power series, where the fundamental densities are chosen to represent the symmetric stress singular- ity of 1 /r~(1-?1) and the skew-symmetric stress singularity of 1 /r~(1-λ2). Then, generalized stress intensity factors at the notch tip are systematically calculated for various shapes of V-shaped notches.