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

Abstract

The plane stress problem of an infinite plate with a circular hole containing a rigid disk under uniaxial tension or compression is numerically solved. Effect of friction on the contact surface between the hole and the disk is considered. A general form of a stress function expressed in the polar coordinates is used and unknown coefficients of the stress function are adjusted successively so that the stress function satisfies boundary conditions. Distributions of stresses and displacements around the hole are shown in figures. Effects of friction on the distributions are discussed.