The steady state partial slip problem for half plane contacts subject to a constant normal load using glide dislocations

TL;DR

This paper introduces a novel analytical solution for steady state partial slip in half-plane contacts under combined normal, shear, and tension loads, explicitly defining slip zones and stick regions.

Contribution

It develops a new method using displacement correction to fully stuck solutions, explicitly establishing the stick zone and slip extents in steady state contact problems.

Findings

Explicitly determines slip zone extents under various tension conditions

Provides a unified solution for steady state partial slip with combined loads

Analyzes effects of tension direction on slip behavior

Abstract

A new solution for general half-plane contact problems subject to a constant normal load together with alternating shear loads and tension in the steady state is presented. The method uses a formulation where a displacement correction is made to the fully stuck contact solution. There will be two outer regions of slip and a central permanent stick zone, which is explicitly established. Thereby, the maximum extent of the slip zones is effectively specified. Cases of small and large tension are studied, that is when the direction of slip is the same or opposing at the ends of the contact, respectively.