Analysis of Singular Stress Fields around a Corner Tip of Inclusion.

Abstract

The stress field near the corner of an inclusion has singularities. For the mode I deformation, the stress singularity is 1/γ1-λ1, and for the mode II deformation, it is 1/γ1-λ2. Thus, the stress fields around the singular point must be described in terms of two pairs of constants: λ1, KI, λ1 and λ2, KII.λ2, where KI, λ1, and KII.λ2 are the parameters representing the intensity of the stress field. In this study, the body force method is used for calculating KI.λ1 and KII.λ2 in the problem of an infinite plate with an inclusion. In the numerical analyses, the singularity of the stress field at the corner tip is taken into account by introducing new basic density functions of the body forces.