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Tribology Letters

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01-06-2023 | Original Paper

An Approach for Quantitative EHD Friction Prediction Based on Rheological Experiments and Molecular Dynamics Simulations

Authors: Ruibin Xu, Laetitia Martinie, Philippe Vergne, Laurent Joly, Nicolas Fillot

Published in: Tribology Letters | Issue 2/2023

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Abstract

Lubricated friction is controlled by the contact operating conditions, including temperature, normal load and sliding. In the elastohydrodynamic (EHD) regime, the rheological characteristics of the lubricants are also dependent on these conditions. Under extreme contact conditions (high load, high sliding), a possible friction plateau (limiting shear stress phenomena) can appear, making friction independent of the sliding speed. Since the physical origin of this friction plateau remains unclear, despite many efforts from the tribology community, predicting friction in EHD contact is still challenging. This work introduces an original EHD friction prediction approach built on a completely independent process from the tribological test. It consists of implementing two models a viscosity model based on the rheological experiment and molecular dynamics simulation data combined with a thermal-elastohydrodynamic contact model. Two fluids with different natures are studied squalane and benzyl benzoate. Friction predictions, including friction plateau and thermal effects, are obtained for both fluids and compared with experimental friction measurements, and a quantitative agreement is obtained. In addition, the role of the thermal effects on EHD friction and the origin of the friction plateau are investigated.

previous article Effects of Phosphonate Additives with Hydroxy Groups on the Tribological Properties of ta-C Coatings Under Boundary Lubrication

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Holmberg, K., Andersson, P., Erdemir, A.: Global energy consumption due to friction in passenger cars. Tribol. Int. 47, 221–234 (2012). https://doi.org/10.1016/j.triboint.2011.11.022CrossRef

Dowson, D.C., Higginson, G.R.: Elasto-hydrodynamic Lubrication the Fundamentals of Roller and Gear Lubrication. Pergamon Press, Oxford (1966)

Vergne, P., Bair, S.: Classical EHL versus quantitative EHL A perspective part I real viscosity-pressure dependence and the viscosity-pressure coefficient for predicting film thickness. Tribol. Lett. 54, 1–12 (2014)CrossRef

Bair, S., Martinie, L., Vergne, P.: Classical EHL versus quantitative EHL A perspective part II—super-Arrhenius piezoviscosity, an essential component of elastohydrodynamic friction missing from classical EHL. Tribol. Lett. 63, 9 (2016)CrossRef

Smith, F.W.: Lubricant behaviour in concentrated contact systems—the castor oil-steel system. Wear 2, 250–263 (1959)CrossRef

Martinie, L., Vergne, P.: Lubrication at extreme conditions A discussion about the limiting shear stress concept. Tribol. Lett. 63, 8 (2016)CrossRef

Pit, R., Hervet, H., Léger, L.: Direct experimental evidence of slip in hexadecane solid interfaces. Phys. Rev. Lett. 85, 980–983 (2000)CrossRef

Evans, C.R., Johnson, K.L.: The rheological properties of elastohydrodynamic lubricants. Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci. 200, 303–312 (1986)CrossRef

Jacobson, B.: An experimental determination of the solidification velocity for mineral oils. ASLE Trans. 17, 290–294 (1974)CrossRef

10.

Bair, S., Winer, W.O.: A rheological model for elastohydrodynamic contacts based on primary laboratory data. J. Tribol. 101, 258–264 (1979)

11.

Muraki, M.: Molecular structure of synthetic hydrocarbon oils and their rheological properties governing traction characteristics. Tribol. Int. 20, 347–354 (1987)CrossRef

12.

Tsubouchi, T., Hata, H., Yoshida, Y.: Optimisation of molecular structure for traction fluids. Lubr. Sci. 16, 393–403 (2004)CrossRef

13.

Zhang, J., Tan, A., Spikes, H.: Effect of base oil structure on elastohydrodynamic friction. Tribol. Lett. 65, 1–24 (2017)CrossRef

14.

Ewen, J.P., Gattinoni, C., Zhang, J., Heyes, D.M., Spikes, H.A., Dini, D.: On the effect of confined fluid molecular structure on nonequilibrium phase behaviour and friction. Phys. Chem. Chem. Phys. 19, 17883–17894 (2017)CrossRef

15.

Ndiaye, S.N.: Ultimate Behaviour of Confined Fluids Under Very High Pressure and Shear Stress. Ph.D. dissertation, INSA de Lyon (2017)

16.

Alsaad, M., Bair, S., Sanborn, D.M., Winer, W.O.: Glass transitions in lubricants its relation to elastohydrodynamic lubrication (EHD). J. Tribol. 100, 404–416 (1978)

17.

Ndiaye, S., Martinie, L., Philippon, D., Gonon-Caux, M., Margueritat, J., Vergne, P.: On the influence of phase change in highly loaded frictional contacts. Tribol. Lett. 68, 1–23 (2020)CrossRef

18.

Porras-Vazquez, A., Martinie, L., Vergne, P., Fillot, N.: Independence between friction and velocity distribution in fluids subjected to severe shearing and confinement. Phys. Chem. Chem. Phys. 20, 27280–27293 (2018)CrossRef

19.

Spikes, H., Jie, Z.: History, origins and prediction of elastohydrodynamic friction. Tribol. Lett. 56, 1–25 (2014)CrossRef

20.

Johnson, K.L., Tevaarwerk, J.L.: Shear behaviour of elastohydrodynamic oil films. Proc. R. Soc. Lond. Ser. A 356, 215–236 (1977)CrossRef

21.

Evans, C.R., Johnson, K.L.: Regimes of traction in elastohydrodynamic lubrication. Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci. 200, 313–324 (1986)CrossRef

22.

Jacod, B., Venner, C.H., Lugt, P.M.: A generalized traction curve for EHL contacts. J. Tribol. 123, 248–253 (2001)CrossRef

23.

Jacod, B., Venner, C.H., Lugt, P.M.: Extension of the friction mastercurve to limiting shear stress models. J. Tribol. 125, 739–746 (2003)CrossRef

24.

Olver, A.V., Spikes, H.A.: Prediction of traction in elastohydrodynamic lubrication. Proc. Inst. Mech. Eng. J J. Eng. Tribol. 212, 321–332 (1998). https://doi.org/10.1243/1350650981542137CrossRef

25.

Morales-Espejel, G.E., Wemekamp, A.W.: An engineering approach on sliding friction in full-film, heavily loaded lubricated contacts. Proc. Inst. Mech. Eng. J J. Eng. Tribol. 218, 513 (2004)CrossRef

26.

Habchi, W., Demirci, I., Eyheramendy, D., Morales-Espejel, G., Vergne, P.: A finite element approach of thin film lubrication in circular ehd contacts. Tribol. Int. 40, 1466–1473 (2007)CrossRef

27.

Habchi, W., Eyheramendy, D., Vergne, P., Morales-Espejel, G.: A full-system approach of the elastohydrodynamic line/point contact problem. J. Tribol. 130, 1–10 (2008)CrossRef

28.

Bair, S., McCabe, C., Cummings, P.T.: Calculation of viscous EHL traction for squalane using molecular simulation and rheometry. Tribol. Lett. 13, 251–254 (2002)CrossRef

29.

Liu, Y., Wang, Q.J., Bair, S., Vergne, P.: A quantitative solution for the full shearthinning EHL point contact problem including traction. Tribol. Lett. 28, 171–181 (2007)CrossRef

30.

Habchi, W., Eyheramendy, D., Bair, S., Vergne, P., Morales-Espejel, G.: Thermal elastohydrodynamic lubrication of point contacts using a newtonian/generalized Newtonian lubricant. Tribol. Lett. 30, 41–52 (2008)CrossRef

31.

Doki-Thonon, T.: Thermal Effects in Elastohydrodynamic Spinning Circular Contacts. Ph.D. dissertation, INSA de Lyon (2012)

32.

Wheeler, J.-D.: Non-elliptical Point Contacts The torus-on-Plane Conjunction. Ph.D. dissertation, INSA de Lyon (2016)

33.

Liu, H.C., Zhang, B.B., Bader, N., Venner, C.H., Poll, G.: Simplified traction prediction for highly loaded rolling/sliding EHL contacts. Tribol. Int. 148, 8 (2020)CrossRef

34.

Björling, M., Habchi, W., Bair, S., Larsson, R., Marklund, P.: Towards the true prediction of EHL friction. Tribol. Int. 66, 19–26 (2013). https://doi.org/10.1016/j.triboint.2013.04.008CrossRef

35.

Bair, S., Laesecke, A.: Normalized as hurst-hoover scaling and a comprehensive viscosity correlation for compressed liquids. J. Tribol. 134, 5374 (2012)CrossRef

36.

Bair, S.: Reference liquids for quantitative elastohydrodynamics selection and rheological characterization. Tribol. Lett. 22, 197–206 (2006)CrossRef

37.

Ndiaye, S.N., Martinie, L., Philippon, D., Devaux, N., Vergne, P.: A quantitative friction based approach of the limiting shear stress pressure and temperature dependence. Tribol. Lett. 65, 1–14 (2017)CrossRef

38.

Ewen, J.P., Heyes, D.M., Dini, D.: Advances in nonequilibrium molecular dynamics simulations of lubricants and additives. Friction 6, 349–386 (2018)CrossRef

39.

Jadhao, V., Robbins, M.O.: Probing large viscosities in glass-formers with nonequilibrium simulations. Proc. Natl. Acad. Sci. U.S.A. 114, 7952–7957 (2017)CrossRef

40.

Jadhao, V., Robbins, M.O.: Rheological properties of liquids under conditions of elastohydrodynamic lubrication. Tribol. Lett. 67, 1–20 (2019). https://doi.org/10.1007/s11249-019-1178-3CrossRef

41.

Gupta, A., Cochran, H.D., Cummings, P.T.: Shear behavior of squalane and tetracosane under extreme confinement, iii. Effect of confinement on viscosity. J. Chem. Phys. 107, 10335–10343 (1997). https://doi.org/10.1063/1.474173CrossRef

42.

Moore, J.D., Cui, S.T., Cummings, P.T., Cochran, H.D.: Lubricant characterization by molecular simulation. AIChE J. 43, 3260–3263 (1997). https://doi.org/10.1002/aic.690431215CrossRef

43.

Bair, S., Vergne, P., Kumar, P., Poll, G., Krupka, I., Hartl, M., Habchi, W., Larsson, R.: Comment on ”history, origins and prediction of elastohydrodynamic friction” by spikes and jie. Tribol. Lett. 58, 481 (2015)CrossRef

44.

Carreau, P.J.: Rheological equations from molecular network theories. Trans. Soc. Rheol. 16, 99–127 (1972)CrossRef

45.

Yasuda, K., Armstrong, R.C., Cohen, R.E.: Shear flow properties of concentrated solutions of linear and star branched polystyrenes. Rheol. Acta 20, 163–178 (1981)CrossRef

46.

Bair, S.: A rough shear-thinning correction for ehd film thickness. Tribol. Trans. 47, 361–365 (2004)CrossRef

47.

Eyring, H.: Viscosity, plasticity, and diffusion as examples of absolute reaction rates. J. Chem. Phys. 4, 283–291 (1936)CrossRef

48.

Bair, S.: A traction (friction) curve is not a flow curve. Lubricants 10, 9 (2022)CrossRef

49.

Hayward, A.T.: Compressibility equations for liquids: A comparative study. Br. J. Appl. Phys. 18, 965–977 (1967). https://doi.org/10.1088/0508-3443/18/7/312CrossRef

50.

Mylona, S.K., Assael, M.J., Comunas, M.J., Paredes, X., Gacino, F.M., Fernandez, J., Bazile, J.P., Boned, C., Daridon, J.L., Galliero, G., Pauly, J., Harris, K.R.: Reference correlations for the density and viscosity of squalane from 273 to 473 k at pressures to 200 mpa. J. Phys. Chem. Ref. Data 43, 3 (2014)CrossRef

51.

Bair, S.: Private Communication (2016).

52.

Evans, D.J., Morriss, G.P.: Nonlinear-response theory for steady planar couette flow. Phys. Rev. A 30, 1528–1530 (1984). https://doi.org/10.1103/PhysRevA.30.1528CrossRef

53.

Plimpton, S.: Fast parallel algorithms for short-range molecular dynamics. J. Comput. Phys. 117, 1–19 (1995)CrossRef

54.

Thompson, A.P., Aktulga, H.M., Berger, R., Bolintineanu, D.S., Brown, W.M., Crozier, P.S., Veld, P.J., Kohlmeyer, A., Moore, S.G., Nguyen, T.D., Shan, R., Stevens, M.J., Tranchida, J., Trott, C., Plimpton, S.J.: Lammps—a flexible simulation tool for particle based materials modeling at the atomic, meso, and continuum scales. Comput. Phys. Commun. 271, 108171 (2022)CrossRef

55.

Evans, D.J., Holian, B.L.: The nose-hoover thermostat. J. Chem. Phys. 83, 4069–4074 (1985)CrossRef

56.

Ewen, J.P., Restrepo, S.E., Morgan, N., Dini, D.: Nonequilibrium molecular dynamics simulations of stearic acid adsorbed on iron surfaces with nanoscale roughness. Tribol. Int. 107, 264–273 (2017)CrossRef

57.

Jewett, A.I., Zhuang, Z., Shea, J.-E.: Moltemplate a coarse-grained model assembly tool. Biophys. J. 104, 169 (2013). https://doi.org/10.1016/j.bpj.2012.11.953CrossRef

58.

Jewett, A.I., Stelter, D., Lambert, J., Saladi, S.M., Roscioni, O.M., Ricci, M., Autin, L., Maritan, M., Bashusqeh, S.M., Keyes, T., Dame, R.T., Shea, J.-E., Jensen, G.J., Goodsell, D.S.: Moltemplate A tool for coarse-grained modeling of complex biological matter and soft condensed matter physics. J. Mol. Biol. 433, 166841 (2021)CrossRef

59.

Larsen, A.H., Mortensen, J.J., Blomqvist, J., Castelli, I.E., Christensen, R., et al.: The atomic simulation environment—a python library for working with atoms. J. Phys. Condens. Matter 29, 6 (2017)

60.

Spijker, P., Anciaux, G., Molinari, J.-F.: The effect of loading on surface roughness at the atomistic level. Comput. Mech. 50, 273–283 (2012)CrossRef

61.

Mendelev, M.I., Han, S., Srolovitz, D.J., Ackland, G.J., Sun, D.Y., Asta, M.: Development of new interatomic potentials appropriate for crystalline and liquid iron. Philos. Mag. 83, 3977–3994 (2003)CrossRef

62.

Siu, S.W., Pluhackova, K., Bockmann, R.A.: Optimization of the opls-aa force field for long hydrocarbons. J. Chem. Theory Comput. 8, 1459–1470 (2012)CrossRef

63.

Peiran, Y., Shizhu, W.: A generalized reynolds equation for non-newtonian thermal elastohydrodynamic lubrication. J. Tribol. 112, 631–636 (1990)CrossRef

64.

Reddyhoff, T., Schmidt, A., Spikes, H.: Thermal conductivity and flash temperature. Tribol. Lett. 67, 1–9 (2019). https://doi.org/10.1007/s11249-018-1133-8CrossRef

65.

Zhang, J., Spikes, H.: Measurement of ehd friction at very high contact pressures. Tribol. Lett. 68, 3 (2020)CrossRef

66.

Khare, R., de Pablo, J., Yethiraj, A.: Molecular simulation and continuum mechanics study of simple fluids in non-isothermal planar couette flows. J. Chem. Phys. 107, 2589–2596 (1997)CrossRef

67.

Habchi, W., Vergne, P., Bair, S., Andersson, O., Eyheramendy, D., Morales-Espejel, G.E.: Influence of pressure and temperature dependence of thermal properties of a lubricant on the behaviour of circular tehd contacts. Tribol. Int. 43, 1842–1850 (2009). https://doi.org/10.1016/j.triboint.2009.10.002CrossRef

Title: An Approach for Quantitative EHD Friction Prediction Based on Rheological Experiments and Molecular Dynamics Simulations
Authors: Ruibin Xu
Laetitia Martinie
Philippe Vergne
Laurent Joly
Nicolas Fillot
Publication date: 01-06-2023
Publisher: Springer US
Published in: Tribology Letters / Issue 2/2023
Print ISSN: 1023-8883
Electronic ISSN: 1573-2711
DOI: https://doi.org/10.1007/s11249-023-01740-5

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