Abstract:
The problems of random boundary notches are often occurred in engineering failure analysis. In this paper, the primary terms in closed form, which are essential to the influence of interference effects of the notches are obtained by means of the modification of body force densities, the adoption of local coordinates with respect to the center of each notch element and the decomposition of Melan's fundamental solutions. Thus an improved body force method is proposed for analyzing interference effects of random boundary notches subje-cted to complex loads. On the engineering application of the proposed method, computational results for the notches with different relative size ratios and aspect ratios, which are often available to engineering failure analysis, are presented. Furthermore, the examples given in the paper show that the improved body force method proves excellent in higher precision and faster convergence when the interference effects of random boundary notches under complex loads are analyzed.