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The stress distribution due to a force in the interior of a semi-infinite elastic medium

Published online by Cambridge University Press:  24 October 2008

Ian N. Sneddon
Ian N. Sneddon
Affiliation:
Armament Research DepartmentMinistry of Supply
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Extract

1. In this paper an analysis is given of the distribution of stress in a semi-infinite elastic medium due to the action of an external force applied to the interior of the medium. It will be assumed throughout that the force acts in a direction perpendicular to that of the boundary of the solid; the analysis is similar when the line of action of the force is parallel to the boundary and is therefore not given here. The equations of plane strain parallel to the x-y plane are employed; physically this is equivalent to assuming that there is no component of the displacement vector in a direction normal to the x-y plane or, what is the same thing, that the external force is applied along are infinite line parallel to the axis of z.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 40 , Issue 3 , November 1944 , pp. 229 - 238
Copyright
Copyright © Cambridge Philosophical Society 1944

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References

REFERENCES

(1)Melan, E.Z. angew. Math. Mech. 12 (1932), 345.Google Scholar
(2)Nadai, A.Plasticity (New York, 1931), p. 247.Google Scholar
(3)Dean, W. R., Parsons, H. W. and Sneddon, I. N.Proc. Cambridge Phil. Soc. 40 (1944), 5.CrossRefGoogle Scholar
(4)Love, A. E. H.The mathematical theory of elasticity, 4th ed. (Cambridge, 1934), pp. 204–5.Google Scholar
(5)Love, A. E. H. Op. cit. p. 211.Google Scholar