Tensile and Compressive Stress Problems for a Rigid Circular Disk in an Infinite Plate

Abstract

The plane stress problem of an infinite plate, which has a circular hole with a rigid disk inserted in it and is subjected to a uniform tensile or compressive stress distribution at infinity, is treated in this study, assuming that there is neither friction nor cementing between the plate and the disk, and that the diameters of the disc and the hole are identical in the unstressed state. This problem is solved by adopting a numerical method in which the general form of the stress function expressed in the polar coordinates is recurrently used, and numerical results for the stress distributions and the displacement distributions on the contour of the hole are presented.