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Boussinesq's problem for a flat-ended cylinder

Published online by Cambridge University Press:  24 October 2008

Ian N. Sneddon
Ian N. Sneddon
Affiliation:
Branch for Theoretical ResearchArmament Research DepartmentMinistry of Supply
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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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 42 , Issue 1 , February 1946 , pp. 29 - 39
Copyright
Copyright © Cambridge Philosophical Society 1946

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References

REFERENCES

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