Contact Stresses of an Elastic Half-space Pressed on a Rigid Base with a Smooth Projection

Abstract

In an elastic contact between two uneven surfaces, elastic bodies smoothly contact with each other along the inner and the outer contact circumferences, and the circumferences shrink with an increasing applied force. We can regard the projection as a parabolic one in the case of small projection. So we analyze the three-dimensional elastic contact problem of an elastic half-space pressed onto a rigid base with a smooth parabolic projection and obtain the surface displacements and the contact stresses.