Boussinesq Elasticity Problem Derivation

afallingbomb

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!

Spinnor

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 & Lifshitz.[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: ..."