Shear Traction and Sticking Scope of Frictional Contact between Two Elastic Cylinders

Abstract

In this study, the frictional contact with partial slide between two elastic cylinders is considered. According to the Spence’s self-similarity condition, a system of singular integral equations is constructed with respect to the normal pressure and the shear traction in the contacting area. Based on the Goodman’s hypothesis, the preceding system is uncoupled. Based on this, the tangential load in the central sticking zone is possible to be obtained analytically by means of the theory on the singular integral equation. Besides, a nonlinear equation with respect to the ratio of the slip and adhesive zone sizes is derived on the basis of the continuity of the tangential load. The stick zone size can thus be determined by solving the nonlinear equation mention above iteratively. A numerical example is provided to verify and validate the theory proposed in this work.