Abstract
A solution of the axisymmetric Boussinesq problem is obtained, for a homogeneous and Isotropic semi-space, from which are deduced simple formulae for the depth of penetration of the tip of a punch of arbitrary profile and the total load and torque which must be applied to the punch to achieve this penetration. Simple expressions are also deduced for the distribution of pressure and couple stress under the punch. Particular results are derived for cylindrical, conical and paraboloidal punch shapes.
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