Analysis of stress singularities at the corner point of square hole and square inclusion in elastic plates submitted to tension at infinity.

Abstract

The plane stress elastostatic problems of a square hole and a square inclusion in the infinite plate are examined. A new method was developed for the calculation of the order of singularity and the stress intensity of a singular point, such as the corners of a square hole and a square inclusion in the elastic plates submitted to an overall tension at infinity. Coefficients of Goursat stress function Φ'(ζ), Ψ(ζ) were determined, respectively, for the number m of terms of the finite series of the mapping function. Then, the stress concentration factors at the corner point of the square hole and the rigid square inclusion were determined. Using the stress concentration factors, the orders of stress singularities were determined and their calculation results were in good agreement with one of the exact solutions by Williams(6). Also the stress intensities were determined for each equivalent Poisson's ratio x.