Axi-symmetric loading of an elastic half-space
Concentrated normal force, point loading
The biharmonic equation can be written as
The solution of the biharmonic equation has been obtained, and following are the stress and the displacements components,
and
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(5.16) |
At the surface, i.e. at 
The equation shows that the profile of the deformed surface is a rectangular hyperboloid which is asymptotic to the undeformed surface at large distance from the point of application of the load.
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