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Note on General Bi-Harmonic Analysis for a Plate Containing Circular Holes

Published online by Cambridge University Press:  24 October 2008

A. E. Green
A. E. Green
Affiliation:
The UniversityDurham
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Extract

In a previous paper a general solution was given for problems of stress distributions in a plate containing circular holes of varying sizes arranged in any manner. This work was a generalization of special methods used by various writers for particular arrangements of holes. The types of stress distributions were, however, confined to those which produce zero force resultants on each hole and the solutions were therefore independent of the elastic constants. Bickley has studied distributions of stress round one circular hole in an infinite plate when the force resultants on the hole are no longer zero, and a few other problems of this type have been dealt with by other writers.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 37 , Issue 1 , January 1941 , pp. 29 - 33
Copyright
Copyright © Cambridge Philosophical Society 1941

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References

* Proc. Roy. Soc. A, 176 (1940), 121–39.Google Scholar

† Phil. Trans. A, 227 (1928), 383–415.Google Scholar

* X 0 does not include any stresses which are derived from forces applied at the edges of the holes.

* Loc. cit., § 3.

* Loc. cit., § 4.

* Loc. cit., § 5.