The Limiting Shape of the Transversely Isotropic Elastically Similar Solids in Fretting

Abstract

Two transversely isotropics elastically similar semi-infinite solids in partial slip tangential contact are considered in the framework of the Cattaneo–Mindlin theory. The problem of limiting shape of the contacting surfaces due to wear in the slip zone is solved under the assumption of constant normal force and oscillating tangential force with a constant amplitude. It has been shown that both the stick zone and the limiting shape do not depend on the orientation of the tangential force. The novelty of the present study is not only in finding an exact analytical solution to the problem of limiting shape in fretting but also in extending the Cattaneo–Mindlin theory of local tangential contact to transversely isotropic, elastically similar solids.