On the Stress Concentration in a Strip with Two Circular Holes Subjected to Tension

Abstract

The stress concentration problem of a strip with two circular holes subjected to uniaxial tension is treated, assuming that the holes have equal diameters and are arranged symmetrically with regard to the center point of the strip. A numerical method is adopted in which the general form of the stress function expressed in the polar coordinates and its transformed equation in the rectangular coordinates are alternately used; the former with the method of the Fourier analysis for satisfaction of the boundary conditions on the circular edges, and the latter with the method of the Fourier transform for the conditions on the rectilinear edges. These boundary conditions are considered at points of finite numbers on both the edges. The stress concentration factors are calculated for the cases of the angles between the line connecting the centers of the holes and the center line of the strip being 0°, 45°, and 90°, and the calculated results are summarized in some diagrams.