Boussinesq's problem for a flat-ended cylinder
- 1 February 1946
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 42 (1) , 29-39
- https://doi.org/10.1017/s0305004100022702
Abstract
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.Keywords
This publication has 3 references indexed in Scilit:
- The elastic stresses produced by the indentation of the plane surface of a semi-infinite elastic solid by a rigid punchMathematical Proceedings of the Cambridge Philosophical Society, 1945
- Theory of Semi‐Infinite Elastic SolidsPublished by Wiley ,1943
- IX. The stress produced in a semi-infinite solid by pressure on part of the boundaryPhilosophical Transactions of the Royal Society A, 1929