Homogenization is a formal mathematical two-scale averaging process that can be applied to roughness problems and can replace previous heuristic averaging procedures, which have sometimes led to ambiguous results. This procedure was previously mathematically developed and applied to compressible flow problems. The purpose of this paper is the development of a special form of Reynolds equation for such homogenized conditions applied to the incompressible Newtonian case. The equation allows the calculation of the operating characteristics of a contact by taking into account the local geometry of surfaces while making a substantial improvement in computing time. The method allows for the study of rough surfaces, but requires considerably fewer calculated points than for traditional deterministic discretization methods.
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October 2004
Research Papers
Comparison of Homogenization and Direct Techniques for the Treatment of Roughness in Incompressible Lubrication
Malal Kane,
Malal Kane
Laboratoire de Dynamique des Machines et des Structures
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Benyebka Bou-Said
Benyebka Bou-Said
Laboratoire de Me´canique des Contacts et des Solides, Institut National des Sciences Applique´es de Lyon, 69621 Villeurbanne, France
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Malal Kane
Laboratoire de Dynamique des Machines et des Structures
Benyebka Bou-Said
Laboratoire de Me´canique des Contacts et des Solides, Institut National des Sciences Applique´es de Lyon, 69621 Villeurbanne, France
Contributed by the Tribology Division for publication in the ASME JOURNAL OF TRIBOLOGY. Manuscript received by the Tribology Division April 1, 2004; revised manuscript received May 27, 2004. Review conducted by: J. Tichy (Editor).
J. Tribol. Oct 2004, 126(4): 733-737 (5 pages)
Published Online: November 9, 2004
Article history
Received:
April 1, 2004
Revised:
May 27, 2004
Online:
November 9, 2004
Citation
Kane, M., and Bou-Said, B. (November 9, 2004). "Comparison of Homogenization and Direct Techniques for the Treatment of Roughness in Incompressible Lubrication ." ASME. J. Tribol. October 2004; 126(4): 733–737. https://doi.org/10.1115/1.1792699
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