Stress analysis of an infinite plate with single hole by using Airy’s stress function

Abstract

To design the machines and structures for optimum material utilization, analysis is required from stress point of view. Stress analysis is a fascinating subject which deals with finding the stress and strain. Also, the displacement distribution in solid component with external forces acting on it is also determined. Analysis of stresses in components and structure members when loads are applied provide help in determination of the magnitude and direction of stresses at various points. For most engineering components stress distribution is never uniform rather it is frequently complex. The reason may be irregularities in cross section, presence of cracks or opening, other material defects present in the component, etc. The present study deals with analyzing the stress concentration in an isotropic infinite plate with a circular hole in it. The load applied on this plate is biaxial and stress concentration is determined using analytical method and the results obtained are compared with ANSYS 10. For infinite plate with single circular hole, Airy’s stress function is used to calculate the stress concentration.