Analysis for Stress Singular Fields Near a Wedge Corner in 2D Joints Considering Interface Stress and Interface Elasticity

Abstract

Surface stress and surface elasticity are related to an organization of surface morphology, surface pattern and surface atomic structures. As a size of structure reduces to a nanometer level, a ratio of its surface to volume increases. Generally, surface energy in deformable solids depends on surface strain. Surface stress and elasticity influence on the distribution of bulk stress near the surface. Interface stress and elasticity also exist in an interface of materials and characterize interface properties. In this study, singular stress at a wedge corner in an anisotropic 2D joint under a tensile loading is analyzed using molecular dynamic (MD) method and the anisotropic elasticity theory using the boundary condition with interface stress and interface elasticity. Interface stress and interface elasticity are obtained through the MD analysis. In the case of 2D joint. the obtained interface stress and elasticity depend on the distance from the wedge corner. The stress field around the wedge corner obtained by the MD analysis had a larger value of order of singularity than a value predicted from the ordinary boundary condition at the interface. In the analysis of anisotropic elasticity, eigenequation for determining the order of stress singularity is newly derived using the boundary condition with interface stress and interface elasticity. The order of stress singularity varies with the distance from the wedge corner. The stress distribution near the wedge corner can be approximated using the relation between the order of stress singularity and the distance from the wedge corner.