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Boussinesq Elasticity Problem Derivation

by afallingbomb
Tags: elasticity
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afallingbomb
#1
Oct14-10, 10:21 PM
P: 16
Where can I find the derivation of the Boussinesq problem of elasticity (point load on an isotropic elastic infinite half-plane)? Besides the original 19th century paper, of course. Thanks!
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Spinnor
#2
Oct15-10, 08:38 PM
P: 1,368
Quote Quote by afallingbomb View Post
Where can I find the derivation of the Boussinesq problem of elasticity (point load on an isotropic elastic infinite half-plane)? Besides the original 19th century paper, of course. Thanks!
Go to:

http://en.wikipedia.org/wiki/Linear_elasticity

2/3rds of the way down you find,

Boussinesq-Cerruti solution - point force at the origin of an infinite isotropic half-space,

click on "show" to get,

"Boussinesq-Cerruti solution - point force at the origin of an infinite isotropic half-space

Another useful solution is that of a point force acting on the surface of an infinite half-space. 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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