The elastic stress distribution near the root of an elliptically cylindrical notch subjected to mode III loadings

摘要

An essential component of a research programme aimed at developing a fracture mechanics methodology for blunt notches, is the description of the elastic stress distribution in the vicinity of the notch root. An earlier analysis of a general two-dimensional model of a blunt notch has shown that, for Mode III deformation, the stress at a distance x ρ (notch root radius of curvature) only depends on x, ρ and the peak stress σ_p, irrespective of the notch shape and the loading characteristics. This uniqueness has been confirmed for a circular cylindrical notch, and in this paper it is confirmed for the general loading of an elliptically cylindrical notch, and also by the results for specific loading scenarios.