Analytical expressions for the notch stress intensity factors of periodic V-notches under tension by using the strain energy density approach

Abstract

This article presents the notch stress intensity factors of a wide range of finite-width flat plates with periodic edge notches. A broad series of notch configurations, varying from shallow to very deep notches, complete range of notch spacing and wide range of notch opening angles, is considered. The significance of sharp notch approximation for the case of blunt notches with a very small notch radius is also demonstrated. Overall, more than 1200 models are carried out. Due to the desirability of analytical expressions for notch stress intensity factors evaluation, the numerical results, obtained from the strain energy density approach, are used to find some simple analytical expressions for the prediction of notch stress intensity factors of periodic sharp notches. The use of a coarse mesh in the finite element models and multiscaling are the promising advantages of such a method underlined in this study.