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Asymptotic shapes of inflated noncircular elastic rings

Published online by Cambridge University Press:  24 October 2008

Stuart S. Antman  and
M. Carme Calderer
Stuart S. Antman
Affiliation:
Department of Mathematics, University of Maryland, College Park, MD 20742, U.S.A.
M. Carme Calderer
Affiliation:
Department of Mathematics, Oregon State University, Corvallis, OR 97331, U.S.A.
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Extract

In this paper we study the asymptotic behaviour of large deformations of nonlinearly elastic, noncircular rings under internal hydrostatic pressure. These rings can undergo flexure, extension, and shear. Their governing equations are the same as those for the inflation of cylindrical shells.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 97 , Issue 2 , March 1985 , pp. 357 - 379
Copyright
Copyright © Cambridge Philosophical Society 1985

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References

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