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A general solution is given for problems of generalized plane stress distributions in an infinite plate which contains circular holes of varying sizes in any positions, subject only to certain conditions of convergence of the solution. The method for extending the results to allow for the effect of one or two straight boundaries is indicated. As a particular case of the general solution the problem of the stress distribution in an infinite plate under tension containing three holes in a row, is discussed, and a few numerical results are given. These results are compared with experiments which were carried out by Mr P L Capper.

Annotations in ink throughout.

Subject: Physics / Applied mathematics

A version of this paper was published in volume 176 of the Proceedings of the Royal Society A as 'General bi-harmonic analysis for a plate containing circular holes'.

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7 pages

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Albert Edward Green

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Albert Edward Green, Paper, 'General bi-harmonic analysis for a plate containing circular holes' by A E [Albert Edward] Green, 1940, AP/81/5, The Royal Society Archives, London,, accessed on 21 July 2024

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