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Asymptotic shapes of inflated spheroidal nonlinearly elastic shells

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 axisymmetric deformations of closed axisymmetric nonlinearly elastic shells under internal hydrostatic pressure. These shells can suffer flexure, extension, and shear. Since there are spherical shells that can enclose an arbitrarily large volume at a finite pressure (cf. [1]), we take the volume rather than the pressure as the large parameter.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 97 , Issue 3 , May 1985 , pp. 541 - 549
Copyright
Copyright © Cambridge Philosophical Society 1985

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References

REFERENCES

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