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Boussinesq Elasticity Problem Derivationby afallingbomb
Tags: elasticity 
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#1
Oct1410, 10:21 PM

P: 16

Where can I find the derivation of the Boussinesq problem of elasticity (point load on an isotropic elastic infinite halfplane)? Besides the original 19th century paper, of course. Thanks!



#2
Oct1510, 08:38 PM

P: 1,376

http://en.wikipedia.org/wiki/Linear_elasticity 2/3rds of the way down you find, BoussinesqCerruti solution  point force at the origin of an infinite isotropic halfspace, click on "show" to get, "BoussinesqCerruti solution  point force at the origin of an infinite isotropic halfspace Another useful solution is that of a point force acting on the surface of an infinite halfspace. It was derived by Boussinesq[4] and a derivation is given in Landau & Lifgarbagez.[3]:§8 In this case, the solution is again written as a Green's tensor which goes to zero at infinity, and the component of the stress tensor normal to the surface vanishes. This solution may be written in Cartesian coordinates as: ..." 


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