Evaluation of Intensity of Stress Singularity at Vertex on Interface in Three Dimensional Dissimilar Material Joints Based on Stress Analysis by Element Free Galerkin Method

—Relationship between Interface Size, Bonded Material Height and Intensity of Stress Singularity—

Abstract

We present evaluation of intensity of stress singularity at vertex on interface of three-dimensional bonded structure based on mesh free analysis. A bonded structure consists of mild steel and aluminum is employed as computational model. Order of stress singularity is obtained by eigen analysis based on the finite element method. In this study, relationship between intensity of stress singularity, interface width of bonded structure and the height of aluminum is investigated. It is found that intensity of stress singularity for radius r direction increases with increasing interface width, for the aluminum height h and the interface width b change. In addition, it is found that if least square approximation is carried out for intensity of stress singularity K_1ij and interface width b by K_1θθ=ξb^η, parameter η is close to the order of stress singularity λ at vertex.