An Elastic Infinite Plate having a Hole Resembling a Four-Cusped Hypotrochoid under Uniform Partial Loading

Abstract

The problem of an infinite plate perforated with a square hole with rounded corners has been solved when a part of the boundary is under uniform pressure and the rest is stress free. The solution has been obtained in a closed form by using Muskhelishvili's methods involving Cauchy's integrals. As a particular case, the solution has been obtained for the plate with the given hole under uniform pressure.