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 D and the topothesy is defined as G. In the study of Mandelbrot, the relationship between D 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).
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STLE/ASME 2008 International Joint Tribology Conference
October 20–22, 2008
Miami, Florida, USA
Conference Sponsors:
- Tribology Division
ISBN:
978-0-7918-4336-9
PROCEEDINGS PAPER
A Microcontact Model Developed for Asperity Heights With a Variable Profile Fractal Dimension, a Surface Fractal Dimension, Topothesy, and Non-Gaussian Distribution Available to Purchase
Jen Luen Liou,
Jen Luen Liou
Air Force Institute of Technology, Koahsiung, Taiwan, R.O.C.
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Jen Fin Lin
Jen Fin Lin
National Cheng Kung University, Tainan, Taiwan, R.O.C.
Search for other works by this author on:
Jen Luen Liou
Air Force Institute of Technology, Koahsiung, Taiwan, R.O.C.
Jen Fin Lin
National Cheng Kung University, Tainan, Taiwan, R.O.C.
Paper No:
IJTC2008-71086, pp. 549-551; 3 pages
Published Online:
June 5, 2009
Citation
Liou, JL, & Lin, JF. "A Microcontact Model Developed for Asperity Heights With a Variable Profile Fractal Dimension, a Surface Fractal Dimension, Topothesy, and Non-Gaussian Distribution." Proceedings of the STLE/ASME 2008 International Joint Tribology Conference. STLE/ASME 2008 International Joint Tribology Conference. Miami, Florida, USA. October 20–22, 2008. pp. 549-551. ASME. https://doi.org/10.1115/IJTC2008-71086
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