Behaviour of Perforated Plates under Plane Stress

Abstract

A theoretical method is developed for determining the elastic behaviour of end-loaded plates completely perforated with closely spaced circular holes forming a square or diagonal pattern. The general method of solution has been verified by experimental work for particular types of loading. The following problems are considered in detail: (1) Unequal uniform applied extensions in the × and y directions; (2) Uniform applied shear. Using a digital computer, complete solutions have been obtained for the stress distribution in plates with holes having pitch to diameter ratios of 1·2, 1·4, 1·7, 2·0, and 3·0, respectively. These solutions have been used to obtain design curves for (1) effective Young's modulus; (2) effective shear modulus; (3) effective Poisson's ratio; (4) variation of applied load; (5) variation of stress across ligaments; (6) stress concentration factors. For plates with a square or diagonal system of holes, the above curves are sufficiently extensive to be applicable to all problems likely to occur in practice.