Stress Analysis around Circular Hole in Infinite Plate with Rigid Disk : Case of Load Applied to Disk

Abstract

A contact stress problem of an infinite plate with a rigid disk inserted in a circular hole is solved numerically. It is assumed that diameters of the disk and of the hole are identical in the unstressed state and that an in-plane load is applied to the disk. The method of stress analysis is a numerical one using recurrently the general form of a stress function expressed in the polar coordinates. Distributions of stresses and displacements around the hole are calculated and shown in some illustrated figures. The presented results are compared with those obtained analytically and experimentally by other authors. The problem of a large circular plate fixed at the edge with a concentric circular hole where a rigid disk is inserted is also solved in order to check the condition of support of the infinite plate.