Influence of tangential displacement on the force of adhesion between a parabolic profile and plane surface

TL;DR

This paper investigates how tangential displacement influences the adhesion force between a parabolic indenter and a plane surface, using an extended MDR method to analyze normal and tangential adhesive contacts.

Contribution

It introduces an analytical and numerical extension of the MDR method to study the effect of tangential displacement on adhesion force for bodies of revolution.

Findings

Critical adhesion force depends on applied tangential force.

Dimensionless parameters governing the contact are identified.

Method applicable to various bodies of revolution.

Abstract

The force of adhesion of a rotationally symmetric indenter and an elastic half-space is analyzed analytically and numerically using an extension of the method of dimensionality reduction (MDR) for superimposed normal/tangential adhesive contacts. In particular, the dependency of the critical adhesion force on the simultaneously applied tangential force is obtained and the relevant dimensionless parameters of the problem are identified. The developed method is applicable straightforwardly to adhesive contacts of any bodies of revolution.