Application of the Fictitious Notch Rounding Approach to Notches with End-Holes under mode II Loading

The fictitious notch rounding concept is applied here for the first time to V-shaped notches with root hole subjected to in-plane shear loading. The fictitious notch radius r f is determined as a function of the real notch radius r, the microstructural support length r and the notch opening angle 2a, at first using the normal stress criterion in combination with the maximum tangential stress criterion for finding the crack propagation angle. An analytical method has been developed resulting in closed form expressions for the multiaxiality factor s in the well known relationship r f =r+sr. It expresses the notch stress averaged over the inclined microstructural support length at pointed V-notches by the maximum notch stress of fictitiously rounded V-notches (with root hole), taking advantage of a nearly developed analytical solution. Different failure criteria are considered in combination with two criteria defining the crack propagation angle: maximum tangential stress and minimum strain energy density. Plane stress and plane strain conditions, respectively, are evaluated.