Some Elastic Contact Problems of an Elliptical Punch

Abstract

The present paper deals with elastic contact problems of a half-space loaded by a rigid cylindrical punch of elliptical cross-section in the cases of (a ) indentation, (b) bending and (c) torsion. In each case, the contact region of punch is mapped onto the unit circle. In the image plane, it is assumed that the distribution of contact stress on the stamp is of the same form as that for a rigid circular stamp, and the surface displacements of the half-space are obtained. It is shown that the results are the solutions of the elastic contact problems of the half-space loaded by a rigid elliptical punch.