0
Research Papers: Elastohydrodynamic Lubrication

Simulation of Plasto-Elastohydrodynamic Lubrication in Line Contacts of Infinite and Finite Length

[+] Author and Article Information
Tao He, Dong Zhu

School of Aeronautics and Astronautics,
Sichuan University,
Chengdu 610065, China

Jiaxu Wang

School of Aeronautics and Astronautics,
Sichuan University,
Chengdu 610065, China
State Key Laboratory of
Mechanical Transmissions,
Chongqing University,
Chongqing 400044, China

Zhanjiang Wang

State Key Laboratory of
Mechanical Transmissions,
Chongqing University,
Chongqing 400044, China

1Corresponding author.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received December 26, 2014; final manuscript received May 16, 2015; published online July 7, 2015. Assoc. Editor: Xiaolan Ai.

J. Tribol 137(4), 041505 (Oct 01, 2015) (12 pages) Paper No: TRIB-14-1316; doi: 10.1115/1.4030690 History: Received December 26, 2014; Revised May 16, 2015; Online July 07, 2015

Line contact is common in many machine components, such as various gears, roller and needle bearings, and cams and followers. Traditionally, line contact is modeled as a two-dimensional (2D) problem when the surfaces are assumed to be smooth or treated stochastically. In reality, however, surface roughness is usually three-dimensional (3D) in nature, so that a 3D model is needed when analyzing contact and lubrication deterministically. Moreover, contact length is often finite, and realistic geometry may possibly include a crowning in the axial direction and round corners or chamfers at two ends. In the present study, plasto-elastohydrodynamic lubrication (PEHL) simulations for line contacts of both infinite and finite length have been conducted, taking into account the effects of surface roughness and possible plastic deformation, with a 3D model that is needed when taking into account the realistic contact geometry and the 3D surface topography. With this newly developed PEHL model, numerical cases are analyzed in order to reveal the PEHL characteristics in different types of line contact.

Copyright © 2015 by ASME
Your Session has timed out. Please sign back in to continue.

References

Grubin, A. N., 1949, Fundamentals of the Hydrodynamic Theory of Lubrication of Heavily Loaded Cylindrical Surfaces, Central Scientific Research Institute for Technology and Mechanical Engineering, Moscow, Book No. 30 (DSIR Translation), pp. 115–166.
Petrusevich, A. I., 1951, “Fundamental Conclusions From the Contact-Hydrodynamic Theory of Lubrication,” Izv. Akad. Nauk SSSR, Otd. Tekh. Nauk, 2, pp. 209–233.
Dowson, D., and Higginson, G. R., 1959, “A Numerical Solution to the Elastohydrodynamic Problem,” J. Mech. Eng. Sci., 1(1), pp. 6–15. [CrossRef]
Dowson, D., and Toyoda, S., 1978, “A Central Film Thickness Formula for Elastohydrodynamic Line Contacts,” 5th Leeds-Lyon Symposium on Tribology, London, pp. 60–65.
Hamrock, B. J., and Jacobson, B. O., 1984, “Elastohydrodynamic Lubrication of Line Contacts,” ASLE Trans., 27(4), pp. 275–287. [CrossRef]
Patir, N., and Cheng, H. S., 1978, “Effect of Surface Roughness on the Central Film Thickness in EHL Contacts,” 5th Leeds-Lyon Symposium on Tribology, London, pp. 15–21.
Venner, C. H., and ten Napel, W. E., 1992, “Surface Roughness Effects in an EHL Line Contact,” ASME J. Tribol., 114(3), pp. 616–622. [CrossRef]
Ai, X. L., and Cheng, H. S., 1994, “A Transient EHL Analysis for Line Contacts With Measured Surface Roughness Using Multigrid Technique,” ASME J. Tribol., 116(3), pp. 549–558. [CrossRef]
Chang, L., 1995, “A Deterministic Model for Line Contact Partial Elastohydrodynamic Lubrication,” Tribol. Int., 28(2), pp. 75–84. [CrossRef]
Evans, H. P., and Snidle, R. W., 1996, “A Model for Elastohydrodynamic Film Failure in Contacts Between Rough Surfaces Having Transverse Finish,” ASME J. Tribol., 118(4), pp. 847–857. [CrossRef]
Ren, N., Zhu, D., Chen, W. W., Liu, Y. C., and Wang, Q. J., 2009, “A Three-Dimensional Deterministic Model for Rough Surface Line Contact EHL Problems,” ASME J. Tribol., 131(1), p. 011501. [CrossRef]
Mostofi, A., and Gohar, R., 1983, “Elastohydrodynamic Lubrication of Finite Line Contacts,” ASME J. Lubr. Technol., 105(4), pp. 598–604. [CrossRef]
Kuroda, S., and Arai, K., 1985, “Elastohydrodynamic Lubrication Between Two Rollers,” JSME, 28(241), pp. 1367–1372. [CrossRef]
Park, T. J., and Kim, K. W., 1998, “Elastohydrodynamic Lubrication of a Finite Line Contact,” Wear, 223(1–2), pp. 102–109. [CrossRef]
Liu, X., and Yang, P., 2002, “Analysis of the Thermal Elastohydrodynamic Lubrication of a Finite Line Contact,” Tribol. Int., 35(3), pp. 137–144. [CrossRef]
Chen, X., Shen, X., Xu, W., and Ma, J., 2001, “Elastohydrodynamic Lubrication of Logarithmic Profile Roller Contacts,” Chin. J. Mech. Eng., 14(4), pp. 347–352. [CrossRef]
Zhu, D., Wang, J. X., Ren, N., and Wang, Q. J., 2012, “Mixed Elastohydrodynamic Lubrication in Finite Roller Contacts Involving Realistic Geometry and Surface Roughness,” ASME J. Tribol., 134(1), p. 011504. [CrossRef]
Ren, N., Zhu, D., Chen, W. W., and Wang, Q. J., 2010, “Plasto-Elastohydrodynamic Lubrication (PEHL) in Point Contacts,” ASME J. Tribol., 132(3), p. 031501. [CrossRef]
Jacq, C., Nelias, D., Lormand, G., and Girodin, D., 2002, “Development of a Three-Dimensional Semi-Analytical Elastic–Plastic Contact Code,” ASME J. Tribol., 124(4), pp. 653–667. [CrossRef]
Nelias, D., Antaluca, E., Boucly, V., and Cretu, S., 2007, “A Three-Dimensional Semi-analytical Model for Elastic–Plastic Sliding Contacts,” ASME J. Tribol., 129(4), pp. 761–771. [CrossRef]
Chen, W. W., Liu, S. B., and Wang, Q., 2008, “Fast Fourier Transform Based Numerical Methods for Elasto–Plastic Contacts With Nominally Flat Surface,” ASME J. Appl. Mech., 75(1), p. 011022. [CrossRef]
Wang, F., and Keer, L. M., 2005, “Numerical Simulation for Three Dimensional Elastic-Plastic Contact With Hardening Behavior,” ASME J. Tribol., 127(3), pp. 494–502. [CrossRef]
Chen, W. W., and Wang, Q., 2008, “Thermomechanical Analysis of Elasto-Plastic Bodies in a Sliding Spherical Contact and the Effects of Sliding Speed, Heat Partition, and Thermal Softening,” ASME J. Tribol., 130(4), p. 041402. [CrossRef]
Liu, S. B., Wang, Q., and Liu, G., 2000, “A Versatile Method of Discrete Convolution and FFT (DC-FFT) for Contact Analyses,” Wear, 243(1), pp. 101–111. [CrossRef]
Liu, S. B., and Wang, Q., 2002, “Studying Contact Stress Fields Caused by Surface Tractions With a Discrete Convolution and Fast Fourier Transform Algorithm,” ASME J. Tribol., 124(1), pp. 36–45. [CrossRef]
Ren, N., Zhu, D., and Wang, Q. J., 2011, “Three-Dimensional Plasto-Elastohydrodynamic Lubrication (PEHL) for Surfaces With Irregularities,” ASME J. Tribol., 133(3), p. 031502. [CrossRef]
He, T., Ren, N., Zhu, D., and Wang, J. X., 2014, “Plasto-Elastohydrodynamic Lubrication (PEHL) in Point Contacts for Surfaces With Three-Dimensional Sinusoidal Waviness and Real Machined Roughness,” ASME J. Tribol., 136(3), p. 031504. [CrossRef]
Zhou, K., Chen, W. W., Keer, L. M., and Wang, Q. J., 2009, “A Fast Method for Solving Three-Dimensional Arbitrarily Shaped Inclusions in a Half Space,” Comput. Methods Appl. Mech. Eng., 198(9), pp. 885–892. [CrossRef]
Liu, S. B., Jin, X. Q., Wang, Z. J., Keer, L. M., and Wang, Q., 2012, “Analytical Solution for Elastic Fields Caused by Eigenstrains in a Half-Space and Numerical Implementation Based on FFT,” Int. J. Plast., 35, pp. 135–154. [CrossRef]
Wang, Z. J., Jin, X. Q., Zhou, Q. H., Ai, X. L., Keer, L. M., and Wang, Q., 2013, “An Efficient Numerical Method With a Parallel Computational Strategy for Solving Arbitrarily Shaped Inclusions in Elastoplastic Contact Problems,” ASME J. Tribol., 135(3), p. 031401. [CrossRef]
Zhu, D., and Hu, Y. Z., 1999, “The Study of Transition From Full Film Elastohydrodynamic to Mixed and Boundary Lubrication,” The Advancing Frontier of Engineering Tribology, Proceedings of the 1999 STLE/ASME H.S. Cheng Tribology Surveillance, STLE, Park Ridge, IL, pp. 150–156.
Hu, Y. Z., and Zhu, D., 2000, “A Full Numerical Solution to the Mixed Lubrication in Point Contacts,” ASME J. Tribol., 122(1), pp. 1–9. [CrossRef]
Wang, W. Z., Wang, H., Liu, Y. C., Hu, Y. Z., and Zhu, D., 2003, “A Comparative Study of the Methods for Calculation of Surface Elastic Deformation,” Proc. Inst. Mech. Eng., Part J, 217(2), pp. 145–152. [CrossRef]
Liu, Y. C., Wang, Q., Wang, W. Z., Hu, Y. Z., and Zhu, D., 2006, “Effects of Differential Scheme and Mesh Density on EHL Film Thickness in Point Contacts,” ASME J. Tribol., 128(3), pp. 641–653. [CrossRef]
Zhu, D., 2007, “On Some Aspects in Numerical Solution of Thin-Film and Mixed EHL,” Proc. Inst. Mech. Eng., Part J, 221(5), pp. 561–579. [CrossRef]
Wang, Z. J., Jin, X. Q., Keer, L. M., and Wang, Q., 2013, “Novel Model for Partial-Slip Contact Involving a Material With Inhomogeneity,” ASME J. Tribol., 135(4), p. 041401. [CrossRef]
Zhu, D., Liu, Y., and Wang, Q., 2014, “On the Numerical Accuracy of Rough Surface EHL Solution,” Tribol. Trans., 57(4), pp. 570–580. [CrossRef]
Ren, N., 2009, “Advanced Modeling of Mixed Lubrication and Its Mechanical and Biomedical Applications,” Ph.D. thesis, Northwestern University, Evanston, IL.
Zhu, D., and Wang, Q., 2012, “On the λ Ratio Range of Mixed Lubrication,” Proc. Inst. Mech. Eng., Part J, 226(12), pp. 1010–1022. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

Geometry of infinitely long line contact and computational domain

Grahic Jump Location
Fig. 2

Geometry of finite line contact and computational domain

Grahic Jump Location
Fig. 3

Comparisons of film thickness and pressure distributions between EHL and PEHL solutions: (a) profiles along the x-direction at Y = 0 and (b) profiles along the y-direction at X = 0

Grahic Jump Location
Fig. 4

Plastic deformation profile

Grahic Jump Location
Fig. 5

Subsurface von Mises stress distributions: (a) EHL solution, (b) PEHL solution, and (c) comparison at the contact center

Grahic Jump Location
Fig. 6

Effect of material hardening property

Grahic Jump Location
Fig. 7

Effect of applied load

Grahic Jump Location
Fig. 8

A ground surface (root mean square (RMS) = 0.3 μm)

Grahic Jump Location
Fig. 9

Mixed PEHL solution in line contact of infinite length: (a) film thickness and pressure profiles along the x-axis, (b) plastic deformation, (c) subsurface von Mises stress, and (d) residual stress

Grahic Jump Location
Fig. 10

Transition from full-film and mixed PEHL down to dry contact as the speed decreases: (a) 100 m/s, λ = 4.57, Wc = 0.0, (b) 20 m/s, λ = 0.83, Wc = 3.58%, (c) 12 m/s, λ = 0.33, Wc = 26.08%, (d) 3.5 m/s, λ = 0.14, Wc = 58.02%, (e) 0.2 m/s, λ = 0.09, Wc = 74.87%, and (f) 0.002 m/s, λ = 0.08, Wc = 79.16%

Grahic Jump Location
Fig. 11

Continuous transition of lubrication condition

Grahic Jump Location
Fig. 12

Comparison of film thickness and pressure profiles between EHL and PEHL solutions: (a) profiles along the x-direction at Y = 0 and (b) profiles along the y-direction at X = 0

Grahic Jump Location
Fig. 13

3D plastic deformation profile

Grahic Jump Location
Fig. 14

Effect of round corner radius

Grahic Jump Location
Fig. 15

Effect of crown radius

Grahic Jump Location
Fig. 16

Effect of applied load

Grahic Jump Location
Fig. 17

Mixed PEHL solution in line contact of finite length: (a) film thickness and pressure profiles along the x-axis, (b) plastic deformation, (c) subsurface von Mises stress, and (d) residual stress

Grahic Jump Location
Fig. 18

Transition from full-film and mixed PEHL down to dry contact as the speed decreases

Grahic Jump Location
Fig. 19

Continuous transition of lubrication condition

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In