Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-25T13:03:48.668Z Has data issue: false hasContentIssue false
  • English
  • Français

The particular integral in plate problems

Published online by Cambridge University Press:  24 October 2008

F. P. Sayer
F. P. Sayer
Affiliation:
Department of Theoretical Mechanics, University of Bristol
Get access Rights & Permissions [Opens in a new window]

Extract

In the course of this paper series expressions are obtained for the displacement vector so that the stresses take prescribed values on the bounding surfaces z = ±h of the plate. Since no conditions are satisfied on the curved surface that forms the bounding edge of the plate these expressions or particular integrals cannot, in general, be solutions to three-dimensional plate problems. They are, however, complementary to the work of Green in (1).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 3 , July 1968 , pp. 931 - 939
Copyright
Copyright © Cambridge Philosophical Society 1968

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Green, A. E.The elastic equilibrium of isotropic plates and cylinders. Proc. Roy. Soc. Ser. A, 195 (1949), 533–552.Google Scholar
(2)Sayer, F. P., Ph.D. Thesis London University 1965, 91 et seq.Google Scholar
(3)Tiffen, R. and Burniston, E. E.Note on the basic assumptions of elastic plate theories. Mathematika 9 (1962), 127–132.Google Scholar
(4)Tiffen, R. and Lowe, P. G.An exact theory of generally loaded elastic plates in terms of moments of the fundamental equations. Proc. London Math. Soc. 13 (1963), 653–671.CrossRefGoogle Scholar
(5)Tiffen, R and Lowe, P. G.An exact theory of plane stress. J. London Math. Soc. 40 (1965), 72–86.CrossRefGoogle Scholar