Analysis of Intensity of Singular Stress Field for Single Lap Joint with fillet

Abstract

In this paper, a convenient evaluation of an intensity of singular stress field (ISSF) at an interface corner in a single lap joint (SLJ) with a fillet is examined. The analytical method is focused on the ratio of the stress values at the interface corner obtained by applying the finite element method (FEM) to the SLJ model and the reference model which are subdivided by the same mesh pattern. It is shown that the square-shaped inclusions in the infinite plate under the bi-axial uniform stress and the pure shear stress can be analyzed by the reciprocal work contour integral method and are suitable for the reference model. The numerical simulations are performed on the SLJs with the fillet. It is confirmed that the ISSF for the SLJ can be evaluated conveniently and accurately by comparing the asymptotic solution with the FEM stress distributions.