Effects of tilt moment on the contact stresses for a wedge under sliding condition

Abstract

The contact stresses between a tilted, shallow wedge and half-plane, under frictional sliding condition, are investigated analytically. The closed-form of contact law itself, together with the contact tractions and the size of the contact segments are explicitly found. The effects of tilt moment, material property, geometry variation and the applied loads on the contact pressure distributions are investigated. By making use of the Muskhelishvili’s potential function and the Plemelj formulae, the analytically derived contact pressure is the same as that obtained based on the singular integral equations. The result is verified by comparing with that in the literature. The in-plane stress field is evaluated from the standpoint of fatigue. It is shown that the Muskhelishvili’s potential function and the Plemelj formulae can be also used to solve this type of contact problem. This study is helpful for understanding the mechanism of frictional sliding contact problem with singular point and designing better high precision instruments and devices.