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The Stress on the boundary of an elastic half-plane in which body forces are acting

Published online by Cambridge University Press:  18 May 2009

Ian N. Sneddon
Ian N. Sneddon
Affiliation:
University of GlasgowGlasgow, W.2
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In this note we consider the problem of determining the stress on the boundary y = 0 of the elastic half-plane y ≡ 0 when there are prescribed body forces acting in the interior and the boundary is free from applied stress. Expressions for the components of stress at a general point of the half-plane when the imposed body force is concentrated at a single point have been derived by Melan [1], Sneddon [2] and Green [3], each author making use of a different method.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 7 , Issue 1 , January 1965 , pp. 48 - 54
Copyright
Copyright © Glasgow Mathematical Journal Trust 1965

References

REFERENCES

1.Melan, E., Der Spannungszustand der durch eine Einzelkraft im Innern beanspruchten Halbscheibe, Z. Angew. Math. Mech. 12 (1932), 343.CrossRefGoogle Scholar
2.Sneddon, I. N., The stress distribution due to a force in the interior of a semi-infinite elastic solid, Proc. Cambridge Philos. Soc. 40 (1944), 229–238.CrossRefGoogle Scholar
3.Green, A. E., A note on certain stress distributions in isotropic and aelotropic materials, Proc. Cambridge Philos. Soc. 41 (1945), 224–231.CrossRefGoogle Scholar
4.Sneddon, I. N., Fourier transforms (McGraw-Hill, New York, 1951).Google Scholar