Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-25T04:43:36.871Z Has data issue: false hasContentIssue false
  • English
  • Français

The elastic stresses produced in a thick plate by the application of pressure to its free surfaces

Published online by Cambridge University Press:  24 October 2008

I. N. Sneddon
I. N. Sneddon
Affiliation:
The Department of Natural PhilosophyThe University of Glasgow
Get access Rights & Permissions [Opens in a new window]

Extract

In a recent paper (1) an analysis was given of the distribution of stress in a semi-infinite elastic medium deformed by the pressure of a rigid body on part of the plane boundary, the remainder of the plane being free. In that form of the problem—the so-called ‘Boussinesq problem’—the normal displacement of a point within the pressed area was prescribed and the distribution of pressure over that area determined. In this paper the corresponding analysis is given for the case in which the pressed area and the distribution of pressure over it are both prescribed and the normal displacement of a point on the free surface is determined.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 42 , Issue 3 , October 1946 , pp. 260 - 271
Copyright
Copyright © Cambridge Philosophical Society 1946

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)Harding, J. W. and Sneddon, I. N.Proc. Cambridge Phil. Soc. 41 (1945), 16.CrossRefGoogle Scholar
(2)Boussinesq, J.Applications des potentials… (Paris, 1885).Google Scholar
(3)Love, A. E. H.Philos. Trans. A, 228 (1929), 377.Google Scholar
(4)Lamb, H.Proc. London Math. Soc. 34 (1902), 276.Google Scholar
(5)Terezawa, K.J. Coll. Sci. Tokyo, 37 (1916), art. 7.Google Scholar
(6)Filon, L. N. G.Philos. Trans. A, 201 (1903), 63.Google Scholar
(7)Dougall, J.Trans. Edinburgh Roy. Soc. 41 (1904), 138.Google Scholar
(8)Watson, G. N.The theory of Bessel functions, 2nd ed. (Cambridge, 1944), p. 389.Google Scholar