Logarithmic Singular Stress Fields in a Semi-Infinite Plate of Bonded Wedges Subjected to Surface Traction. 2nd Report, Discussion Based on the General Solution.

Abstract

Based on the general solution obtained in the first report, the stress field with logarithmic singularity is studied for bonded wedges with the resultant configuration of a half plane. It is found that surface traction is necessary for production of the logarithmic singular stress field. When the traction is uniform for all surfaces of the wedges, there is no singular stress field with the form of σ∼γλ-1 logγ, where γ is the distance measured from the corner tip. In this case, the logarithmic singular stress field with the form of σ∼logγ may exist ; however, it can exist only when the condition ofα=β(cos2γ-1)/cos2γ or α=π/[2tanγ+π-2γ] is satisfied, where α and β are the composite parameters and γ is the corner angle of the wedge.