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Thermostatics of an elastic Cosserat plate containing a circular hole

Published online by Cambridge University Press:  24 October 2008

İ. T. Gürgöze
İ. T. Gürgöze
Affiliation:
Technical University of İstanbul, İstanbul, Turkey
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Abstract

In this paper, the general theory of a Cosserat surface given by Green, Naghdi and Wainwright(1), has been applied to the problem of a thermo-elastic Cosserat plate containing a circular hole of radius a. We assume that the major surfaces of the plate and the boundary of the hole are thermally insulated and that a uniform temperature gradient τ exists at infinity. In the limiting case, when h/a → 0, where h is the thickness of the plate, the thermal stresses at the circular hole reduce to those obtained by Florence and Goodier (4), by means of the classical plate theory. Results for the other limiting case h/a → ∞ are also given.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 70 , Issue 1 , July 1971 , pp. 169 - 174
Copyright
Copyright © Cambridge Philosophical Society 1971

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References

REFERENCES

(1)Green, A. E., Naghdi, P. M. and Wainwright, W. L.Arch. Rational Mech. Anal. 20 (1965), 287.CrossRefGoogle Scholar
(2)Green, A. E. and Naghdi, P. M.Internat. J. Solid Structures, 6 (1970), 209.CrossRefGoogle Scholar
(3)Green, A. E. and Naghdi, P. M.Internat. J. Solid Structures, 4 (1968), 585.CrossRefGoogle Scholar
(4)Florence, A. L. and Goodier, J. N.J. Appl. Mech. Series E (3), 81 (1959), 293.Google Scholar