Segmented bi-Gaussian stratified elastic asperity contact model of Leefe (1998, “‘Bi-Gaussian’ Representation of Worn Surface Topography in Elastic Contact Problems,” Tribol. Ser., 34, pp. 281–290), which suits for worn surfaces, has been improved. It still exhibits two drawbacks: (1) the arbitrary assumption of the probability density function (PDF) consisting of two component PDFs intersecting at a knee-point, violating the unity-area demand and (2) the preference for large roughness-scale part of the surface, leading to an error on the characterization of small roughness-scale part. A continuous bi-Gaussian stratified elastic asperity contact model is proposed based on a surface combination theory and a continuous separation method. The two stratified contact models are applied to a simulated pure bi-Gaussian surface and four real worn surfaces. The results show that the modified segmented and the continuous stratified contact models are both validated by a deterministic model with better accuracy for the continuous one.
Stratified Revised Asperity Contact Model for Worn Surfaces
Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received March 28, 2016; final manuscript received August 8, 2016; published online January 10, 2017. Assoc. Editor: Mircea Teodorescu.
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Hu, S., Brunetiere, N., Huang, W., Liu, X., and Wang, Y. (January 10, 2017). "Stratified Revised Asperity Contact Model for Worn Surfaces." ASME. J. Tribol. March 2017; 139(2): 021403. https://doi.org/10.1115/1.4034531
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