Asymptotic description of the stress field around the bond edge of a cylindrical joint

Abstract

The stress singularity around the bond edge of a cylindrical joint with two dissimilar materials is analysed using the Love stress function approach. The order of the stress singularity is proved to be the same as that under plane strain deformation. Emphasis is placed on the asymptotic description of the stress field because, in axisymmetric deformation problems, the singular-stress term alone cannot correctly describe the stress field near the singular point, even under mechanical loading at a very small range. An asymptotic description consisting of one singular-stress term and one constant stress term is presented. The constant stress term depends on the r-direction displacement of the singular point, in which it differs from the plane deformation problem's solution.