An efficient and accurate iterative stress solution for an infinite elastic plate around two elliptic holes, subjected to uniform loads on the hole boundaries and at infinity

Abstract

Using the Schwarz's alternating method and the Muskhelishvili's complex variable function techniques, an efficient and accurate stress solution for an infinite elastic plate around two elliptic holes, subjected to uniform loads on the hole boundaries and at infinity, is presented in this paper. The present algorithm can be used to compute the stress concentration factors (SCF), i.e., the ratio of the maximum tangential hoop stress to the applied uniform load, on the boundaries of the two elliptical holes of different sizes and layouts under different loading conditions, as illustrated in two numerical cases. © 2008 Elsevier Masson SAS. All rights reserved.