Skip to main content
Log in

Friction Laws for Saturated/Unsaturated Fatty Acid Layers

  • Original Paper
  • Published:
Tribology Letters Aims and scope Submit manuscript

Abstract

The presence or absence of unsaturation in the carbon chain of carboxylic acids was examined on the friction response of boundary films according to normal force. Friction laws were established as a function of the normal force at the nanoscale with a molecular tribometer derived from a surface force apparatus. While the shear plane is mainly composed of methyl groups in all the cases investigated, the molecular organization differs within the shear plane, as suggested by the simultaneous film thickness evolution. This gave rise to dissipation modes within the interface, resulting in a wide range of shear stress levels and dependence with contact pressure. The friction laws were discussed, highlighting the combined role of nanometric surface roughness and molecule unsaturation.

Graphic Abstract

Friction laws for stearic acid ( ), elaidic acid ( ), and oleic acid ( ) boundary layers and schematic diagrams of the corresponding sheared interfaces

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

Availability of Data and Materials

Supporting Information is available from the corresponding author, JCB, upon reasonable request.

References

  1. Dowson, D.: History of Tribology. Longman, London (1979)

    Google Scholar 

  2. Crespo, A.: Compréhension de la tribologie de films limites: De l’organisation moléculaire à la réponse en friction. PhD Thesis, Ecole centrale de Lyon, France, 2017LYSEC21, June 2017.

  3. He, G., Robbins, M.O.: Simulations of the kinetic friction due to adsorbed surface layers. Tribol. Lett. 10, 7–14 (2001)

    Article  CAS  Google Scholar 

  4. He, G., Müser, M.H., Robbins, M.O.: Adsorbed layers and the origin of static friction. Science 284, 1650–1652 (1999)

    Article  CAS  Google Scholar 

  5. Berman, A., Drummond, C., Israelachvili, J.: Amontons’ law at the molecular level. Tribol. Lett. 4, 95–101 (1998)

    Article  CAS  Google Scholar 

  6. Yoshizawa, H., Chen, Y.L., Israelachvili, J.: Fundamental mechanisms of interfacial friction. 1. Relation between adhesion and friction. J. Phys. Chem. 97, 4128–4140 (1993)

    Article  CAS  Google Scholar 

  7. Wenning, L., Müser, M.: Friction laws for elastic nanoscale contacts. Europhys. Lett. 54, 693–699 (2001)

    Article  CAS  Google Scholar 

  8. Luan, B., Robbins, M.O.: The breakdown of continuum models for mechanical contacts. Nature 435, 929–932 (2005)

    Article  CAS  Google Scholar 

  9. Gao, J., Luedtke, W.D., Gourdon, D., Ruths, M., Israelachvili, J., Landman, U.: Frictional Forces and Amontons’ Law: From the Molecular to the Macroscopic Scale. J. Phys. Chem. B 108, 3410–3425 (2004)

    Article  CAS  Google Scholar 

  10. Mo, Y., Turner, K.T., Szlufarska, I.: Friction laws at the nanoscale. Nature 457, 111–1119 (2009)

    Article  Google Scholar 

  11. Sutcliffe, J., Taylor, S.R., Cameron, A.: Molecular asperity theory of boundary friction. Wear 51, 181–192 (1978)

    Article  CAS  Google Scholar 

  12. Briscoe, B.J., Scruton, B., Willis, F.R.: The shear strength of thin lubricant films. Proc. R. Soc. Lond. A333, 99–114 (1973)

    Google Scholar 

  13. Ruths, M., Lundgren, S., Danerlöv, K., Persson, K.: Friction of fatty acids in nanometer-sized contacts of different adhesive strength. Langmuir 24, 1509–1516 (2008)

    Article  CAS  Google Scholar 

  14. Homola, A.M., Israelachvili, J.N., Gee, M.L., McGuiggan, P.M.: Measurements of and relation between the adhesion and friction of two surfaces separated by molecularly thin liquid films. J. Tribol. 111, 675–682 (1989)

    Article  CAS  Google Scholar 

  15. Lundgren, S., Ruths, M., Danerlöv, K., Persson, K.: Effects of unsaturation on film structure and friction of fatty acids in a model base oil. J. Colloid Interface Sci. 326, 530–536 (2008)

    Article  CAS  Google Scholar 

  16. Doig, M., Warrens, C.P., Camp, P.J.: Structure and friction of stearic acid and oleic acid films adsorbed on iron oxide surfaces in squalane. Langmuir 30, 186–195 (2014)

    Article  CAS  Google Scholar 

  17. Yamada, S., Inomata, K.A., Kobayashi, E., Tanabe, T., Kurihara, K.: Effect of a fatty acid additive on the kinetic friction and stiction of confined liquid lubricants. Tribol. Lett. 64, 23 (2016)

    Article  Google Scholar 

  18. Colburn, T., Leggett, G.J.: Influence of solvent environment and tip chemistry on the contact mechanics of tip-sample interactions in friction force microscopy of self-assembled monolayers of mercaptoundecanoic acid and dodecanethiol. Langmuir 23, 4959–4964 (2007)

    Article  CAS  Google Scholar 

  19. Frisbie, C.D., Rozsnyai, L.F., Noy, A., Wrighton, M.S., Lieber, C.M.: Functional group imaging by chemical force microscopy. Science 265, 2071–2074 (1994)

    Article  CAS  Google Scholar 

  20. Askwith, T.C., Cameron, A., Crouch, R.F.: Chain length of additives in relation to lubricants in thin film and boundary lubrication. Proc. R. Soc. Lond. Ser. A 291, 500–519 (1966)

    Article  CAS  Google Scholar 

  21. Crespo, A., Mazuyer, D., Morgado, N., Tonck, A., Georges, J.-M., Cayer-Barrioz, J.: Methodology to characterize rheology, surface forces and friction of confined liquids at the molecular scale using the ATLAS Apparatus. Tribol. Lett. 65, 138 (2017)

    Article  Google Scholar 

  22. Georges, J.-M., Millot, S., Loubet, J.-L., Tonck, A.: Drainage of thin liquid films between relatively smooth surfaces. J. Chem. Phys. 98, 7345 (1993)

    Article  CAS  Google Scholar 

  23. Tonck, A., Bec, S., Mazuyer, D., Georges, J.-M., Lubrecht, A.A.: The École Centrale de Lyon surface force apparatus: an application overview. Proc. Inst. Mech. Eng. J. 213, 353–361 (2005)

    Article  Google Scholar 

  24. Crespo, A., Morgado, N., Mazuyer, D., Cayer-Barrioz, J.: Effect of unsaturation on the adsorption and the mechanical behavior of fatty acid layers. Langmuir 34(15), 4560–4567 (2018)

    Article  CAS  Google Scholar 

  25. Chen, Y.-L., Israelachvili, J.N.: Effects of ambient conditions on adsorbed surfactant and polymer monolayers. J. Phys. Chem. 96, 7752–7760 (1992)

    Article  CAS  Google Scholar 

  26. Georges, J.-M., Tonck, A., Mazuyer, D.: Interfacial friction of wetted monolayers. Wear 175, 59–62 (1994)

    Article  CAS  Google Scholar 

  27. Coulomb, C.A.: Théorie des Machines Simples. Gallica Bibliothèque Nationale de France, Paris (1821).. ((In French))

    Google Scholar 

  28. Jabbarzadeh, A., Harrowell, P., Tanner, R.I.: Crystal bridge formation marks the transition to rigidity in a thin lubrication film. Phys. Rev. Lett. 96, 206102 (2006)

    Article  CAS  Google Scholar 

  29. Cui, S.T., Cummings, P.T., Cochran, H.D.: Molecular simulation of the transition from liquidlike to solidlike behavior in complex fluids confined to nanoscale gaps. J. Chem. Phys. 114, 7189 (2001)

    Article  CAS  Google Scholar 

  30. Campen, S., Green, J.H., Lamb, G.D., Spikes, H.A.: In situ study of model organic friction modifiers using liquid cell AFM; saturated and mono-unsaturated carboxylic acids. Tribol. Lett. 57, 18 (2015)

    Article  Google Scholar 

  31. Wheeler, D.H., Potente, D., Wittcoff, H.: Adsorption of dimer, trimer, stearic, oleic, linoleic, nonanoic and azelaic acids on ferric oxide. J. Am. Oil Chem. Soc. 48, 125–128 (1971)

    Article  CAS  Google Scholar 

  32. Mazuyer, D., Cayer-Barrioz, J., Tonck, A., Jarnias, F.: Friction dynamics of confined weakly adhering boundary layers. Langmuir 24, 3857–3866 (2008)

    Article  CAS  Google Scholar 

  33. Mazuyer, D., Tonck, A., Cayer-Barrioz, J.: Friction control at the molecular level. In: Erdemir, A., Martin, J.M. (eds.) Superlubricity, Ch. 22, vol. 1. Elsevier, Amsterdam (2007)

    Google Scholar 

  34. Greenwood, J.A., Williamson, J.B.P.: Contact between nominally flat surfaces. Proc. Roy. Soc. A295, 300–319 (1966)

    Google Scholar 

  35. Johner, A., Joanny, J.-F.: Adsorption of polymeric brushes: bridging. J. Chem. Phys. 96, 6257 (1992)

    Article  CAS  Google Scholar 

  36. Joanny, J.-F.: Lubrication by molten polymer brushes. Langmuir 8, 989–995 (1992)

    Article  CAS  Google Scholar 

  37. Tabor, D.: The role of surface and intermolecular forces in thin film lubrication. In: Georges, J.M. (ed.) Microscopic Aspects of Adhesion and Lubrication, Tribology Series 7, pp. 651–682. Elsevier, Amsterdam (1982)

    Google Scholar 

  38. Homola, A.M., Israelachvili, J.N., McGuiggan, P.M., Gee, M.L.: Fundamental experimental studies in tribology: the transition from “interfacial” friction of undamaged molecularly smooth surfaces to “normal” friction with wear. Wear 136(1), 65–83 (1990)

    Article  CAS  Google Scholar 

  39. Thomas, R.C., Houston, J.E., Crooks, R.M., Kim, T., Michalske, T.A.: Probing adhesion forces at the molecular scale. J. Am. Chem. Soc. 117, 3830–3834 (1995)

    Article  CAS  Google Scholar 

  40. Archard, J.F.: Contact and rubbing of flat surfaces. J. Appl. Phys. 24, 981–988 (1953)

    Article  Google Scholar 

  41. Carpick, R., Salmeron, M.: Scratching the surface: fundamental investigations of tribology with atomic force microscopy. Chem. Rev. 97, 1163–1194 (1997)

    Article  CAS  Google Scholar 

Download references

Acknowledgements

This article is in memory of Professor Mark Robbins. This work was financed by the Agence Nationale de la Recherche via the project Confluence project ANR-13-JS09-0016-01 and by the LABEX Manutech-Sise (ANR-10-LABX-0075) of Université de Lyon, within the program “Investissements d’Avenir” (ANR-11-IDEX-0007) operated by the French National Research Agency (ANR), via the project DysCo. Additional support was also provided by the Agency for the ecological transition ADEME through the IMOTEP project.

Funding

This work was supported by the Agence Nationale de la Recherche via the project Confluence ANR-13-JS09-0016-01 and by the LABEX Manutech-Sise (ANR-10-LABX-0075) of Université de Lyon, within the program “Investissements d’Avenir” (ANR-11-IDEX-0007) operated by the French National Research Agency (ANR), via the project DysCo. Additional support was also provided by the Agency for the ecological transition ADEME through the IMOTEP project.

Author information

Authors and Affiliations

Authors

Contributions

JCB designed the study and wrote the initial version of the manuscript. Data collection and analysis were performed by AC, FA, NM, and JCB. The theoretical model was developed by DM. Manuscript editing, and revisions were performed by FA, NM, DM, and JCB.

Corresponding author

Correspondence to Juliette Cayer-Barrioz.

Ethics declarations

Conflict of interest

The authors have no conflicts of interest to declare.

Additional information

Special issue dedicated to the Memory of Mark Robbins.

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Abouhadid, F., Crespo, A., Morgado, N. et al. Friction Laws for Saturated/Unsaturated Fatty Acid Layers. Tribol Lett 69, 46 (2021). https://doi.org/10.1007/s11249-021-01419-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11249-021-01419-9

Keywords

Navigation