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Research Papers: Elastohydrodynamic Lubrication

Elastohydrodynamic Lubrication Analysis for Transversely Isotropic Coating Layer

[+] Author and Article Information
Li-Ming Chu

Department of Mechanical Engineering,
Southern Taiwan University of Science
and Technology,
Tainan City 71005, Taiwan

Chien-Yu Chen, Chin-Ke Tee, Qie-Da Chen

Department of Materials Science
and Engineering,
National Cheng Kung University,
Tainan City 70101, Taiwan

Wang-Long Li

Department of Materials Science
and Engineering,
National Cheng Kung University,
Tainan City 70101, Taiwan
e-mail: wlli@mail.ncku.edu.tw

1Corresponding author.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received September 1, 2013; final manuscript received February 24, 2014; published online May 6, 2014. Assoc. Editor: Dong Zhu.

J. Tribol 136(3), 031502 (May 06, 2014) (9 pages) Paper No: TRIB-13-1180; doi: 10.1115/1.4027210 History: Received September 01, 2013; Revised February 24, 2014

The effects of the transversely isotropic coating layer on the elastohydrodynamic lubrication (EHL) circular contact problems are analyzed and discussed under constant load condition. The equivalent elastic modulus for an equivalent isotropic half-space problem is applied to simplify the present transversely isotropic coating. The finite element method (FEM) is utilized to solve the Reynolds equation, the load balance equation, the rheology equations, and the elastic deformation equation simultaneously. The simulation results of the present equivalent model are compared with those of an anisotropic material elasticity matrix to evaluate the applicable range of coating thickness under a fixed relative error. The pressure distribution tends to gradually escalating and concentrating toward the center with increasing longitudinal Young's modulus. The variations of pressure and film thickness become significant as the coating thickness becomes thinner. The deformations of interface are smaller than the deformations of the surface. The film thickness and pressure characteristics of the lubricant are discussed for various parameters. These characteristics are important for the design of the mechanical element with coating layer.

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Figures

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Fig. 1

Schematic of the EHL with coated surface in a point contact

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Fig. 2

2D meshing and geometry size

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Fig. 3

3D meshing and geometry size

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Fig. 4

Pressure distributions and film shapes using present model with various model geometry size

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Fig. 5

Effect of meshing size on pressure and film thickness

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Fig. 6

Comparison of results obtained by Liu [25] and those using the present method

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Fig. 10

Maximum pressure and minimum film thicknesses versus Ez

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Fig. 11

(a) Maximum pressure versus T with various Ez. (b) Minimum film thickness versus T with various Ez.

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Fig. 12

(a) Pressure distributions and film shapes in the x-axis with various sliding velocity. (b) Pressure distributions and film shapes in the y-axis with various sliding velocity.

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Fig. 13

(a) Pressure distributions and film shapes in the x-axis with various load. (b) Pressure distributions and film shapes in the y-axis with various load.

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Fig. 14

Maximum pressure, minimum film thicknesses, and coefficient of friction versus load

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Fig. 7

Comparison of the equivalent Young's modulus method and direct solution of material elasticity matrix method (t = 0.1a)

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Fig. 8

(a) Pressure distributions and film shapes in the x-axis with various Ez. (b) Pressure distributions and film shapes in the y-axis with various Ez.

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Fig. 9

(a) Comparison of surface and interlayer deflection in the x-axis with various Ez (t = 0.1a). (b) Comparison of surface and interlayer deflection in the x-axis with various Ez (t = 1.0a).

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