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Rods, plates and shells

Published online by Cambridge University Press:  24 October 2008

A. E. Green ,
N. Laws  and
P. M. Naghdi
A. E. Green
Affiliation:
University of Newcastle upon Tyne and University of California, Berkeley
N. Laws
Affiliation:
University of Newcastle upon Tyne and University of California, Berkeley
P. M. Naghdi
Affiliation:
University of Newcastle upon Tyne and University of California, Berkeley
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Abstract

We discuss non-linear thermodynamical theories of rods and shells using the three-dimensional theory of classical continuum mechanics as a starting point. The three-dimensional theory is reduced to a two-dimensional theory for a shell, or plate, and a one-dimensional theory for a rod by employing an exact expansion for the displacement but an approximation for the temperature. For elastic rods and shells a method of approximation is suggested which brings the respective theories into correspondence with those of Green and Laws (1) and Green, Naghdi and Wain-wright(2).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 3 , July 1968 , pp. 895 - 913
Copyright
Copyright © Cambridge Philosophical Society 1968

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References

REFERENCES

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