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Boussinesq Elasticity Problem Derivation

  1. Oct 14, 2010 #1
    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!
     
  2. jcsd
  3. Oct 15, 2010 #2
    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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