A Contact Problem for an Elastic Layer Indented by a Circular Punch*

摘要

The lower surface of an elastic layer is fixed to a rigid base. On the upper surface of the layer a cylindrical punch effects a normal displacement that is constant within a circular area. The mixed boundary problem is reduced to a pair of dual integral equations in the Hankel transform of the contact pressures. Assuming that the layer is not exceedingly thin, formal expressions for the stress components are determined, as well as explicit forms for the layer's stiffness and the normal displacements of its surface