A microcontact model developed for asperity heights with a variable profile fractal dimension, a surface fractal dimension, topothesy, and non-Gaussian distribution

Jeng Luen Liou, Jen-Fin Lin

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

Abstract

The cross sections formed by the contact asperities of two rough surfaces at an interference are island-shaped, rather than having the commonly assumed circular contour. These island- shaped contact surface contours show fractal behavior with a profile fractal dimension Ds, The surface fractal dimension for the asperity heights is defined as Ds and the topothesy is defined as G In the study of Mandelbrot. the relationship between D s and Ds was given as D= Ds+1 if these two fractal dimensions are obtained before contact deformation. In the present study, D, G, and Ds are considered to be varying with the mean separation (or the interference at the rough surface) between two contact surfaces. The D-Ds relationships for the contacts at the elastic, elastoplastic, and fully plastic deformations are derived and the inceptions of the elastoplastic deformation regime and the fully plastic deformation regime are redefined using the equality of two expressions established in two different ways for the number of contact spots (N).

Original languageEnglish
Title of host publication2008 Proceedings of the STLE/ASME International Joint Tribology Conference, IJTC 2008
Pages549-551
Number of pages3
Publication statusPublished - 2009 Oct 16
Event2008 STLE/ASME International Joint Tribology Conference, IJTC 2008 - Miami, FL, United States
Duration: 2008 Oct 202008 Oct 22

Publication series

Name2008 Proceedings of the STLE/ASME International Joint Tribology Conference, IJTC 2008

Other

Other2008 STLE/ASME International Joint Tribology Conference, IJTC 2008
Country/TerritoryUnited States
CityMiami, FL
Period08-10-2008-10-22

All Science Journal Classification (ASJC) codes

  • Fluid Flow and Transfer Processes
  • Process Chemistry and Technology
  • Mechanical Engineering

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