Stress Distribution around Polygonal Holes

Abstract

General solutions for determining the stress distribution around holes in an infinite plate subjected to arbitrary biaxial in-plane loadings at infinity,are obtained using Muskhelishvili’s complexvariable method. The stress functions are obtained by evaluating Cauchy’sintegral for the given boundary conditions. The generalized formulation thus obtained is coded and numerical results are presented for triangular, square, pentagonal, hexagonal, heptagonal and octagonal cut-out.The effect of the hole geometry and loading patternon the stress concentration factor is studied.For some of the cases,plane stress finite element models are prepared in ANSYS and results are compared with present method.