Intensity of Corner in Fixed Edge of Plane Problem

Abstract

A displacement boundary value problem is analyzed for a two‐dimensional elastic body for which the edges are fixed: It has a perfectly angular corner and a rounded corner. Complex stress functions and rational mapping functions are used for the analysis, which is carried out for the symmetric and antisymmetric stress states with respect to the bisector of the corner angle. The relationships between the intensity of a perfectly angular corner and the stress concentration of a rounded corner are investigated for reentrant corners and for some Poisson ratios. Using the results of, these investigations, the intensity of the corner can be obtained from the expression of stress concentration. Conversely, the expression of stress concentration can be obtained from the intensity of the corner, if it is known.