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Note on the basic assumptions of elastic plate theories

Published online by Cambridge University Press:  26 February 2010

R. Tiffen  and
E. E. Burniston
R. Tiffen
Affiliation:
Birkbeck College, University of London.
E. E. Burniston
Affiliation:
Birkbeck College, University of London.
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Summary

This note is concerned with an inconsistency in the assumptions made in the Reissner theory of elastic plates. An expression is derived for the stress component t33 and a form is suggested for the shear stress components tα3 which form a suitable basis for an approximate theory of elastic plates.

Type
Research Article
Information
Mathematika , Volume 9 , Issue 2 , December 1962 , pp. 127 - 132
Copyright
Copyright © University College London 1962

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References

1. Tiffen, R. and Sayer, F. P., Mathematika, 9 (1962), 11–24.CrossRefGoogle Scholar
2. Green, A. E. and Zerna, W., Theoretical elasticity, (Oxford, 1954), 215–253.Google Scholar
3. Love, A. E. H., Math, theory of elasticity, fourth edition (Cambridge, 1934).Google Scholar
4. Green, A. E., Proc. Roy. Soc. (A), 195 (1949), 533–552.Google Scholar