Steady state cyclic behaviour of a half-plane contact in partial slip subject to varying normal load, moment, shear load, and moderate differential bulk tension

TL;DR

This paper introduces a new exact solution for steady state cyclic behavior in half-plane contacts under combined static and oscillatory loads, accounting for asymmetry and moments, advancing contact mechanics understanding.

Contribution

The paper presents a novel, exact solution for steady state cyclic contact behavior that includes asymmetry and moments, extending previous models.

Findings

Provides a formal mapping between normal and tangential contact problems.

Enables analysis of partial slip under complex loading conditions.

Offers an easy-to-apply recipe for practical contact analysis.

Abstract

A new solution for a general half-plane contact in the steady state is presented. The contacting bodies are subject to a set of constant loads - normal force, shear force and bulk tension parallel with the interface - together with an oscillatory set of the same quantities. Partial slip conditions are expected to ensue for a range of these quantities. In addition, the line of action of the normal load component does not necessarily need to pass the centre-line of the contact, thereby introducing a moment and asymmetry in the contact extent. This advancement enables a mapping to be formalised between the normal and tangential problem. An exact and easy to apply recipe is defined.