An Axisymmetric Contact Problem of an Elastic Half-Space Pressed onto a Rigid Foundation with a Parabolic-Ended Pit and Protrusion

抄録

A frictionless, axisymmetric contact problem is considered, where an elastic half-space is pressed onto a rigid foundation with a parabolic-ended pit or protrusion. It is necessary to find the extent of the contact region and contact stress between an elastic half-space and the rigid foundatin. Also required is the normal displacement on the free surface. The problem is solved by using Papkovich-Neuber equations in oblate spheroidal coordinates. The effects of various parameters on the contact stress are studied. Numerical results are compared with those for a flat-ended pit or protrusion, and they are found to be in agreement.