Stress and Displacement Fields for a Semi-Infinite Plane Containing a Circular Hole Subjected to Stresses at Infinity

Abstract

The problem of semi-infinite plane containing a circular hole has been treated using the stress functions in bi-polar coordinate. In these analyses, the boundary conditions have been given by only stresses or displacements on the hole and the straight edge. The aim of this study is that the solutions are presented for the semi-infinite plane containing a circular hole subjected to stresses at infinity. For introducing the solutions, the solution of semi-infinite plane and that of infinite plane with a circular hole are superposed to converge to both boundary conditions. Some numerical results for displacements are shown by graphical representation.