Skip to main content
×
×
Home

Boussinesq's problem for a flat-ended cylinder

  • Ian N. Sneddon (a1)
Extract

1. In a recent paper(1) expressions were found for the elastic stresses produced in a semi-infinite elastic medium when its boundary is deformed by the pressure against it of a perfectly rigid body. In deriving the solution of this problem—the ‘Boussinesq’ problem—it was assumed that the normal displacement of a point within the area of contact between the elastic medium and the rigid body is prescribed and that the distribution of pressure over that area is determined subsequently. The solutions for the special cases in which the free surface was indented by a cone, a sphere and a flat-ended cylindrical punch were derived, but no attempt was made to give a full account of the distribution of stress in the interior of the medium in any of these cases.

Copyright
References
Hide All
(1)Harding, J. W. and Sneddon, I. N.Proc. Cambridge Phil. Soc. 41 (1945), 16.
(2)Krynine, D. F.Soil mechanics (New York, 1941), Chap. IV.
(3)Terzaghi, K.Theoretical soil mechanics (New York, 1943), p. 367.
(4)Love, A. E. H.Philos. Trans. A, 228 (1929), 377.
(5)Terezawa, K.J. Coll. Sci. Tokyo, 37 (1916), article 7.
(6)Watson, G. N.The theory of Bessel functions (Cambridge, 1922), p. 385.
(7)Nadai, A.Plasticity (New York, 1931), Fig. 313.
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed