Mathematical modeling and experimantal technique to study contact load ratio - Friction function

Jamil A. Abdo*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution


This paper considers the mechanical interaction due to surface roughness and examines the surface theories using the classical definition of coefficient of friction: the tangential-to-normal load ratio. The aforementioned postulation for maximum static friction is used to experimentally evaluate the contact models. For this purpose a pin-on-disk test apparatus is employed with the capability of measuring tangential and normal forces for a frictional contact. The tests involve pairs of disk and specimen, i.e. Steel-on-Steel and Aluminum-on-Aluminum contacts. In each case profilometer measurements are performed on the disk and the Greenwood and Williamson parameters are determined. Using the parameters the theoretical estimates of normal and tangential loads are obtained. The theoretical values of tangential-to-normal contact force ratios are compared with those obtained from measurements for various applied normal loads. The tests utilizing a pin-on-disk apparatus showed that reasonable agreements between experimentally obtained load ratios and those predicted using the theoretical elastic and elastic-plastic contact. The agreement was found to be most favorable in the case of elastic-plastic model.

Original languageEnglish
Title of host publicationProceedings of the ASME/STLE International Joint Tribology Conference, IJTC 2004
Number of pages10
EditionPART B
Publication statusPublished - 2004
Event2004 ASME/STLE International Joint Tribology Conference - Long Beach, CA, United States
Duration: Oct 24 2004Oct 27 2004


Other2004 ASME/STLE International Joint Tribology Conference
Country/TerritoryUnited States
CityLong Beach, CA


  • Coefficient of Friction
  • Contact Problem
  • Elastic-Plastic

ASJC Scopus subject areas

  • Engineering(all)


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