The linear theory of an elastic Cosserat plate-Reference-Cited by-同舟云学术

The linear theory of an elastic Cosserat plate

Published:1967-04 Issue:2 Volume:63 Page:537-550
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Green A. E.,Naghdi P. M.

Abstract

AbstractSome 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference15 articles.

1. An Exact Theory of Generally Loaded Elastic Plates in Terms of Moments of the Fundamental Equations

2. On a Variational Theorem in Elasticity

3. On the theory of plane stress

4. A boundary-layer theory for plates with initial stress

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