Interaction Between Two Unequal Circular Holes Lying in a Sheared Elastic Plane

Abstract

The paper presents an analytic solution for the stress states in an elastic plan where two unequal circular holes are lying. At infinity, the elastic plane is sheared. To solve the problem, the authors used bipolar co-ordinate and find the Airy’s stress function. In order to find the elastic potential the form of this photoelastic technique is used to validate the analytical results, Principal normal and tangential stresses are plotted. The hoop stresses on the holes contours are plotted, too. Finally, for some geometrical situations, the stress concentration factor is estimated.