Singular Stress Fields near the Tip of a V-Notch in a Semi-Infinite Plate.

Abstract

The stress fields near the tip of a V-notch have singularities. The order of the stress singularity is dependent on the deformation mode. For the I deformation, the stress singurarity is 1/r1-λ1, and for the mode II deformation, it is 1/r1-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. Therefore, such numerical stress analysis, in which neither of the stress singularities is taken into account or only one stress singularity is taken into account, are generally not effectiue. In this study, a new method is presented for analyzing the problem of the V-notch in a semi-infinite plate. In this method, the two singular stress fields are taken into account at the same time, and the parameters KIλ1 and KII, λ2 are determined by the solutions of the equations. This method is also applicable to the problem of a composite plate because the stress singularity at the corner of the composite plate is essentially the same one as in the present problem.