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Uniqueness theorems for thin clamped anisotropic plates

Published online by Cambridge University Press:  26 February 2010

G. M. L. Gladwell
G. M. L. Gladwell
Affiliation:
University College, London.
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Extract

This paper deals with problems of transverse displacements of thin anisotropie plates with the most general type of digonal symmetry [1]. Proofs of uniqueness of solution under certain conditions are given for problems of plates occupying both finite and infinite regions. This is a generalization to anisotropy of the uniqueness theorems given by Tiff en [2] for isotropic plates.

Type
Research Article
Information
Mathematika , Volume 4 , Issue 1 , June 1957 , pp. 70 - 75
Copyright
Copyright © University College London 1957

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References

1.Green, A. E., Quart. Applied Math., 7 (1949), 223–228.CrossRefGoogle Scholar
2.Tiffen, R., Quart. J. Mech. and Applied Math., 8 (1955), 237.CrossRefGoogle Scholar
3.Green, A. E. and Zerna, W., Theoretical Elasticity (Oxford, 1954), 248.Google Scholar
4.Stevenson, A. C., Phil. Mag. (7), 33 (1942), 639–661.CrossRefGoogle Scholar
5.Milne-Thomson, L. M., Hydrodynamics (Macmillan, 1949), 130.Google Scholar
6.Tiffen, R., Quart. J. Mech. and Applied Math., 5 (1952), 240.Google Scholar