A simple formula for obtaining OIFs on Neumann boundary in 2D potential problems and its applications

Abstract

Prior to this study, an empirical formula has been proposed to evaluate origin intensity factors on the Dirichlet boundary. In this work, a simple empirical formula for obtaining origin intensity factors on the Neumann boundary is provided. As a result, origin intensity factors both on Dirichlet boundary and Neumann boundary could be directly achieved. It makes the numerical implementation of the singular boundary method easier. Numerical results are carried out to verify the accuracy and stability of the present scheme.