TECHNICAL NOTES
May 22, 2009

Plastic Zone around Circular Holes

Publication: Journal of Engineering Mechanics
Volume 135, Issue 12

Abstract

In 1946, L. A. Galin proposed an ingenious solution to the problem of analytically determining the plastic region completely surrounding a circular hole in a thin initially elastic plate subject to tensile stress at infinity. The results of Galin’s analysis are recovered by a simple collocation, provided an elliptical elastic-plastic boundary is assumed. This elementary procedure is then applied to treat the case, unresolvable by Galin’s method, in which the plastic domain does not completely surround the hole.

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References

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Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 135Issue 12December 2009
Pages: 1467 - 1471

History

Received: May 14, 2008
Accepted: May 21, 2009
Published online: May 22, 2009
Published in print: Dec 2009

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Authors

Affiliations

M. J. Leitman [email protected]
Professor, Mathematics Dept., Case Western Reserve Univ., Cleveland, OH 44106 (corresponding author). E-mail: [email protected]
P. Villaggio [email protected]
Professor, Dipartimento di Ingegneria Strutturale, Univ. di Pisa, Pisa, Italia. E-mail: [email protected]

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