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Research Papers: Elastohydrodynamic Lubrication

The Validity of Linear Elasticity in Analyzing Surface Texturing Effect for Elastohydrodynamic Lubrication

[+] Author and Article Information
A. Shinkarenko, I. Etsion

Department of Mechanical Engineering, Technion-Israel Institute of Technology, Technion City, Haifa 32000, Israel

Y. Kligerman1

Department of Mechanical Engineering, Technion-Israel Institute of Technology, Technion City, Haifa 32000, Israelmermdyk@technion.ac.il

1

Corresponding author.

J. Tribol 131(2), 021503 (Mar 04, 2009) (7 pages) doi:10.1115/1.3071973 History: Received October 07, 2008; Revised December 03, 2008; Published March 04, 2009

This paper presents a nonlinear theoretical model to study the effect of laser surface texturing on the tribological performance in soft elastohydrodynamic lubrication. Both geometrical and physical nonlinearities of the elastomer are considered by using a logarithmic strain and the Mooney–Rivlin constitutive law, respectively. The results of the present nonlinear model are compared with a previous linear one over a wide range of operating conditions. It is found that the simpler linear elasticity model predicts results that are only slightly different from these predicted by the more accurate nonlinear one. Hence, the linear elasticity model can be practically considered valid over the entire range of operating conditions.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

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Figure 1

Schematic of the model showing the initially undeformed elastomer (dashed line) at zero sliding velocity, and the final deformed elastomer (solid line) at full sliding velocity

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Figure 2

Geometrical model of a laser textured surface: (a) schematic of the model, (b) zoom in on a group of dimples, and (c) a single column of dimples in the x1 direction

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Figure 3

A comparison between the linear (16) and nonlinear results of the elastomer deformations along the center line of a single dimple column

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Figure 4

Dimensionless load carrying capacity W versus the aspect ratio ε for different values of the SEHL stiffness index E

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Figure 5

Dimensionless load carrying capacity W versus the elastomer length L1

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Figure 6

Dimensionless load carrying capacity W versus the elastomer thickness L2

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Figure 7

Maximum dimensionless load carrying capacity W versus the SEHL stiffness index E at the transition from full to mixed hydrodynamic lubrication

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Figure 8

Dimensionless friction force Ff versus the aspect ratio ε

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