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@article{Spikes:2015:10.1007/s11249-015-0544-z,
author = {Spikes, H and Tysoe, W},
doi = {10.1007/s11249-015-0544-z},
journal = {Tribology Letters},
title = {On the Commonality Between Theoretical Models for Fluid and Solid Friction, Wear and Tribochemistry},
url = {http://dx.doi.org/10.1007/s11249-015-0544-z},
volume = {59},
year = {2015}
}
TY - JOUR
AB - Tribology is concerned with the influence ofmechanically applied forces on interfacial phenomena thataccompany and control sliding. A wide range of modelshas been developed to describe these phenomena, whichinclude frictional dissipation, wear and tribochemical reactions.This paper shows that these apparently disparatemodels are based on the same fundamental concept that anexternally applied force accelerates the rate of thermaltransition of atoms or molecules across energy barrierspresent in solid and liquid materials, thereby promotingflow, slip or bond cleavage. Such ‘‘stress-assisted’’ effectsand the associated thermal activation concepts were developedindependently and in different forms by Prandtl (ZAngew Math Mech 8:85, 1928) and Eyring (J Chem Phys4(4):283–291, 1936). These two works have underpinnedsubsequent theories of dry friction, boundary lubrication,EHD rheology, tribochemistry and nanoscale wear modelling.This paper first reviews the historical developmentof the concepts, focussing in particular on the models ofPrandtl and Eyring and how they have subsequently beenused and adapted by others. The two approaches are thencompared and contrasted, noting that although superficiallysimilar, they contain quite different assumptions and constraints.First, the Prandtl model assumes that the force isexerted through a compliant spring, while constant forcesliding is assumed by Eyring. Second, different approximationsare made in the two models to describe the change in energy barrier with external force. Prandtl exploresthe asymptotic behaviour of the energy barrier as theapplied force become sufficiently high to reduce it to zero,while Eyring assumes that the energy barrier is reduced byan amount equal to the external work carried out on thesystem. The theoretical underpinnings of these differencesare discussed along with the implications of compliantcoupling and constant force sliding on the velocity andtemperature dependence of t
AU - Spikes,H
AU - Tysoe,W
DO - 10.1007/s11249-015-0544-z
PY - 2015///
SN - 1573-2711
TI - On the Commonality Between Theoretical Models for Fluid and Solid Friction, Wear and Tribochemistry
T2 - Tribology Letters
UR - http://dx.doi.org/10.1007/s11249-015-0544-z
UR - http://hdl.handle.net/10044/1/28092
VL - 59
ER -