Geodesic
The Stress on the boundary of an elastic half-plane in which body forces are acting
Glasgow mathematical journal, Tome 7 (1965) no. 1, pp. 48-54

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
Sneddon, Ian N. The Stress on the boundary of an elastic half-plane in which body forces are acting. Glasgow mathematical journal, Tome 7 (1965) no. 1, pp. 48-54. doi: 10.1017/S2040618500035188
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[1] 1.Melan, E., Der Spannungszustand der durch eine Einzelkraft im Innern beanspruchten Halbscheibe, Z. Angew. Math. Mech. 12 (1932), 343. Google Scholar | DOI

[2] 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. Google Scholar | DOI

[3] 3.Green, A. E., A note on certain stress distributions in isotropic and aelotropic materials, Proc. Cambridge Philos. Soc. 41 (1945), 224–231. Google Scholar | DOI

[4] 4.Sneddon, I. N., Fourier transforms (McGraw-Hill, New York, 1951). Google Scholar

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