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The linear theory of an elastic Cosserat plate

Published online by Cambridge University Press:  24 October 2008

A. E. Green  and
P. M. Naghdi
A. E. Green
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

Some features of the linear theory of an elastic Cosserat plate are discussed and special attention is given to a bending theory which corresponds to the bending of a transversely isotropic three-dimensional plate. A useful representation for the solution of the system of differential equations characterizing the bending of an elastic Cosserat plate is deduced and the results are applied to the problem of an infinite Cosserat plate with a circular hole, the plate being in a state of uniform bending at infinity.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 2 , April 1967 , pp. 537 - 550
Copyright
Copyright © Cambridge Philosophical Society 1967

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References

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