Most statistical contact analyses assume that asperity height distributions follow a Gaussian distribution. However, engineered surfaces are frequently non-Gaussian with the type dependent on the material and surface state being evaluated. When two rough surfaces experience contact deformations, the original topography of the surfaces varies with different loads, and the deformed topography of the surfaces after unloading and elastic recovery is quite different from surface contacts under a constant load. A theoretical method is proposed in the present study to discuss the variations of the topography of the surfaces for two contact conditions. The first kind of topography is obtained during the contact of two surfaces under a normal load. The second kind of topography is obtained from a rough contact surface after elastic recovery. The profile of the probability density function is quite sharp and has a large peak value if it is obtained from the surface contacts under a normal load. The profile of the probability density function defined for the contact surface after elastic recovery is quite close to the profile before experiencing contact deformations if the plasticity index is a small value. However, the probability density function for the contact surface after elastic recovery is closer to that shown in the contacts under a normal load if a large initial plasticity index is assumed. How skewness (Sk) and kurtosis (Kt), which are the parameters in the probability density function, are affected by a change in the dimensionless contact load, the initial skewness (the initial kurtosis is fixed in this study) or the initial plasticity index of the rough surface is also discussed on the basis of the topography models mentioned above. The behavior of the contact parameters exhibited in the model of the invariant probability density function is different from the behavior exhibited in the present model.
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A Microcontact Non-Gaussian Surface Roughness Model Accounting for Elastic Recovery
Jeng Luen Liou,
Jeng Luen Liou
Assistant Professor
Department of Aircraft Engineering,
Air Force Institute of Technology
, Kaohsiung, 820, Taiwan ROC
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Jen Fin Lin
Jen Fin Lin
Professor
Department of Mechanical Engineering,
e-mail: jflin@mail.ncku.edu.tw
National Cheng Kung University
, Tainan, 701, Taiwan ROC
Search for other works by this author on:
Jeng Luen Liou
Assistant Professor
Department of Aircraft Engineering,
Air Force Institute of Technology
, Kaohsiung, 820, Taiwan ROC
Jen Fin Lin
Professor
Department of Mechanical Engineering,
National Cheng Kung University
, Tainan, 701, Taiwan ROCe-mail: jflin@mail.ncku.edu.tw
J. Appl. Mech. May 2008, 75(3): 031015 (13 pages)
Published Online: May 1, 2008
Article history
Received:
October 15, 2006
Revised:
August 9, 2007
Published:
May 1, 2008
Citation
Liou, J. L., and Lin, J. F. (May 1, 2008). "A Microcontact Non-Gaussian Surface Roughness Model Accounting for Elastic Recovery." ASME. J. Appl. Mech. May 2008; 75(3): 031015. https://doi.org/10.1115/1.2840043
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