Stress Concentration Analysis of Round Bar Problem under Bending Based on the Zeroth Node Point Method

Abstract

The linear notch mechanics (LNM) has been proposed by H. Nisitani to estimate the strength of notched structures. In using LNM, the highly accurate value of stress concentration factor is necessary. Recently, a method for calculating the highly accurate values of the stress concentration factors has been proposed by H. Nisitani, based on the usefulness of the stress value at a notch root calculated by FEM. This method is called the zeroth node point method. The usefulness of this method has already been confirmed by the body force method in the cases of the tensile problems. In this study, an extension of the zeroth node point method to the bending problems was made. Then the accuracy of the present analysis was discussed through the stress concentration factors obtained by the body force method. As the result, it was confirmed that the present analysis has the sufficient accuracy in the cases of the bending problems.