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Research Article | Open Access

A new 3D plastoelastohydrodynamic lubrication model for rough surfaces

Shengyu YOUJinyuan TANG( )Qiang WANG
State Key Laboratory of Precision Manufacturing for Extreme Service Performance, Central South University, Changsha 410083, China
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Abstract

Plastoelastohydrodynamic lubrication of rough surfaces (R-PEHL) is a cutting-edge area of research in interface fluid-structure coupling analysis. The existing R-PEHL model calculates the elastic-plastic deformation of rough surface by the Love equation in a semi-infinite space smooth surface, which deviates from the actual surface. Therefore, it is an innovative work to study the exact solution of elastic-plastic deformation of rough surface and its influence on the solution results of R-PEHL model. In this paper, a new contact calculation model of plastoelastohydrodynamic lubrication (PEHL) with three-dimensional (3D) rough surface is proposed by integrating numerical method of EHL and finite element method. The new model eliminates an original error introduced by the assumption of semi-infinite space in contact calculation, providing wide applicability and high accuracy. Under the given rough surfaces and working conditions, the study reveals that: (1) the oil film pressure calculated by the new model is lower than that of the smooth surface in semi-infinite space by 200–800 MPa; (2) the Mises stress of the new model is 2.5%–26.6% higher than that of the smooth surface in semi-infinite space; (3) compared with the semi-infinite space assumption, the rough surface plastic deformation of the new model is increased by 71%–173%, and the local plastic deformation singularity may appear under the semi-infinite space assumption; (4) the plastic deformation caused by the first contact cycle on the rough surface of the new model accounts for 66.7%–92.9% of the total plastic deformation, and the plastic deformation of the semi-infinite space accounts for 50%–83.3%. This study resolves the contradiction between the smooth surface assumption and the rough surface in the existing R-PEHL model, establishing a solid logic foundation for the accurate solution of R-PEHL model.

References

[1]
Reynolds O. IV. On the theory of lubrication and its application to Mr. Beauchamp tower’s experiments, including an experimental determination of the viscosity of olive oil. Phil Trans R Soc 177: 157–234 (1886)
[2]
Dowson D, Higginson G R. A numerical solution to the elasto-hydrodynamic problem. J Mech Eng Sci 1(1): 6–15 (1959)
[3]
Ranger A P, Ettles C M M, Cameron A. The solution of the point contact elasto-hydrodynamic problem. Proc R Soc Lond Ser A 346(1645): 227–244 (1975)
[4]
Cheng H S. A refined solution to the thermal-elastohydrodynamic lubrication of rolling and sliding cylinders. S L E Trans 8(4): 397–410 (1965)
[5]
Zhu D, Wen S Z. A full numerical solution for the thermoelastohydrodynamic problem in elliptical contacts. J Tribol 106(2): 246–254 (1984)
[6]
Hsu C H, Lee R T. An efficient algorithm for thermal elastohydrodynamic lubrication under rolling/sliding line contacts. J Tribol 116(4): 762–769 (1994)
[7]
Ghosh M K, Pandey R K. Thermal elastohydrodynamic lubrication of heavily loaded line contacts—An efficient inlet zone analysis. J Tribol 120(1): 119–125 (1998)
[8]
Gu Z L, Zhu C C, Liu H J, Du X S. A comparative study of tribological performance of helical gear pair with various types of tooth surface finishing. Ind Lubr Tribol 71(3): 474–485 (2019)
[9]
Zhu D, Wang Q J. On the λ ratio range of mixed lubrication. Proc Inst Mech Eng Part J J Eng Tribol 226(12): 1010–1022 (2012)
[10]
Xu G, Sadeghi F. Thermal EHL analysis of circular contacts with measured surface roughness. ASME J Tribol 118(3): 473–482 (1996)
[11]
Hu Y Z, Zhu D. A full numerical solution to the mixed lubrication in point contacts. J Tribol 122(1): 1–9 (2000)
[12]
Ren N, Zhu D, Chen W W, Liu Y C, Wang Q J. A three-dimensional deterministic model for rough surface line-contact EHL problems. J Tribol 131(1): 1 (2009)
[13]
Zhu D, Liu Y C, Wang Q. On the numerical accuracy of rough surface EHL solution. Tribol Trans 57(4): 570–580 (2014)
[14]
Jacq C, Ne´lias D, Lormand G, Girodin D. Development of a three-dimensional semi-analytical elastic-plastic contact code. J Tribol 124(4): 653–667 (2002)
[15]
Polonsky I A, Keer L M. A numerical method for solving rough contact problems based on the multi-level multi-summation and conjugate gradient techniques. Wear 231(2): 206–219 (1999)
[16]
Liu S B, Wang Q. Studying contact stress fields caused by surface tractions with a discrete convolution and fast Fourier transform algorithm. J Tribol 124(1): 36–45 (2002)
[17]
Chiu Y P. On the stress field due to initial strains in a cuboid surrounded by an infinite elastic space. J Appl Mech 44(4): 587 (1977)
[18]
Chiu Y P. On the stress field and surface deformation in a half space with a cuboidal zone in which initial strains are uniform. J Appl Mech 45(2): 302 (1978)
[19]
Love A E H. A Treatise on the Mathematical Theory of Elasticity. New York (USA): Dover, 1944.
[20]
Lemaitre J, Chaboche J L, Maji A K. Mechanics of solid materials. J Eng Mech 119(3): 642–643 (1993)
[21]
Ren N, Zhu D, Chen W W, Wang Q J. Plasto-elastohydrodynamic lubrication (PEHL) in point contacts. J Tribol 132(3): 1 (2010)
[22]
He T, Wang J X, Wang Z J, Zhu D. Simulation of plasto-elastohydrodynamic lubrication in line contacts of infinite and finite length. J Tribol 137(4): 041505 (2015)
[23]
He T, Zhu D, Wang J X. Simulation of plasto-elastohydrodynamic lubrication in a rolling contact. J Tribol 138(3): 031503 (2016)
[24]
Azam A, Dorgham A, Morina A, Neville A, Wilson M C T. A simple deterministic plastoelastohydrodynamic lubrication (PEHL) model in mixed lubrication. Tribol Int 131: 520–529 (2019)
[25]
Lohner T, Ziegltrum A, Stemplinger J P, Stahl K. Engineering software solution for thermal elastohydrodynamic lubrication using multiphysics software. Adv Tribol 2016: 6507203 (2016)
[26]
Zhou Y, Zhu C C, Liu H J, Song H L. Investigation of contact performance of case-hardened gears under plasto-elastohydrodynamic lubrication. Tribol Lett 67(3): 92 (2019)
[27]
Cao H, Khan Z, Meng Y G. Comparison of rolling contact fatigue life between elastohydrodynamic lubricated point contacts pre and post running-in treatment. Tribol Int 144: 106089 (2020)
[28]
Wang Q J, Zhu D. Interfacial Mechanics: Theories and Methods for Contact and Lubrication. Los Angeles (USA): CRC Press, 2019.
[29]
Johnson K L. Contact Mechanics. Cambridge (UK): Cambridge University Press, 1985.
[30]
Pei L, Hyun S, Molinari J, Robbins M. Finite element modeling of elasto-plastic contact between rough surfaces. J Mech Phys Solids 53(11): 2385–2409 (2005)
[31]
You S Y, Tang J Y, Zhou W, Zhou W H, Zhao J Y, Chen H F. Research on calculation of contact fatigue life of rough tooth surface considering residual stress. Eng Fail Anal 140: 106459 (2022)
[32]
Belytschko T, Liu W K, Moran B, Elkhodary K. Nonlinear Finite Elements for Continua and Structures. New York (USA): John Wiley & Sons Inc., 2000.
[33]
Zugelj B B, Kalin M. Submicron-scale experimental analyses of multi-asperity contacts with different roughnesses. Tribol Int 119: 667–671 (2018)
[34]
Zhang F K, Liu J H, Ding X Y, Wang R L. Experimental and finite element analyses of contact behaviors between non-transparent rough surfaces. J Mech Phys Solids 126: 87–100 (2019)
[35]
Li L, Tang J Y, Wen Y Q, Zhu C C. Numerical simulation of ultrasonic-assisted grinding surfaces with fast Fourier transform. J Tribol 142(9): 092301 (2020)
Friction
Pages 1176-1193
Cite this article:
YOU S, TANG J, WANG Q. A new 3D plastoelastohydrodynamic lubrication model for rough surfaces. Friction, 2024, 12(6): 1176-1193. https://doi.org/10.1007/s40544-023-0793-z

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Received: 30 March 2023
Revised: 04 June 2023
Accepted: 01 July 2023
Published: 02 April 2024
© The author(s) 2023.

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