Effect of Skewness and Roughness Level on the Mechanical Behavior of a Rough Contact

  • Meriem Bel Hadj AmorEmail author
  • Saoussen Belghith
  • Salah Mezlini
  • Hedi Bel Hadj Salah
Part of the Lecture Notes in Mechanical Engineering book series (LNME)


In this work, we investigate the effects of roughness level and asymmetry of profile on the mechanical behavior of an engineering surface. A numerical model was performed to simulate bi-dimensional surfaces with different roughness parameters (The arithmetic average height parameter Ra and skewness) values. This model predicts the contact load, real area and interfacial stiffness. It takes into account the elastic-plastic material behavior, asperities interactions and more realistic geometry than the analytical models. Both symmetric and asymmetric profiles were simulated. Symmetric (Gaussian) profiles were generated through experimentally measured surfaces. These profiles were artificially edited in order to put forward the effect of roughness parameters on the contact performances. The Pearson system of frequency curves is used to produce asymmetric profiles with the same roughness level. The effect of crushing and roughness level as well as the skewness parameter on the contact performance in terms of real area, contact load and interfacial stiffness was analyzed.


Mechanical behavior real contact area Normal stiffness Numerical simulation Roughness parameters 


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  1. Belghith, S., Mezlini, S., BelHadjSalah, H., Ligier, J.L.: Modeling of contact between rough surfaces using homogenisation technique. Compte. Rendus Mécaniques 338, 48–61 (2010)CrossRefzbMATHGoogle Scholar
  2. Bowden, F.P., Tabor, D.: The friction and lubrication of solids, pt. 1. Oxford University Press (1950)Google Scholar
  3. Buczkowski, R., Kleiber, M.: Elasto-plastic statistical model of strongly anisotropic rough surfaces for finite element 3D-contact analysis. Comput. Methods Appl. Mech. Engrg. 195, 5141–5161 (2006)CrossRefzbMATHMathSciNetGoogle Scholar
  4. Elderton, P.E., Johnson, L.: System of frequency curves. Cambridge University Press, London (1969)Google Scholar
  5. Gadelmawlaa, E.S., Kourab, M.M., Maksoudc, T.M.A., Elewaa, I.M., Solimand, H.H.: Roughness parameters. Journal of Materials Processing Technology 123, 133–145 (2002)CrossRefGoogle Scholar
  6. Greenwood, J.A., Williamson, J.B.P.: Contact of nominally flat surfaces. Proc. R. Soc. Lond. Ser. A 295, 300–319 (1966), , doi:
  7. International Organisation for Standardisation (ISO), NF EN ISO 12085, Spécifications géométriques des produits - Méthode du profil - Paramètres lies aux motifs (1988)Google Scholar
  8. Poulios, K., Klit, P.: Implementation and applications of a finite-element model for the contact between rough surfaces. Wear 303, 1–8 (2013)CrossRefGoogle Scholar
  9. Robbe-Valloire, F., Paffoni, B., Progri, R.: Load transmission by elastic, elastoplastic or fully plastic deformation of rough interface asperities. Mechanics of Materials 33, 617–633 (2001)CrossRefGoogle Scholar
  10. Sherif, H.A.: Parameters affecting contact stiffness of nominally flat surfaces. Wear 145, 113–121 (1991)CrossRefGoogle Scholar
  11. Shi, X., Polycarpou, A.A.: Measurement and Modeling of Normal Contact Stiffness and Contact Damping at the Meso Scale. ASME 127, 52–60 (2005)Google Scholar
  12. Tayebi, N., Polycarpou, A.: A Modeling the effect of skewness and kurtosis on the static friction coefficient of rough surfaces. Tribology International 37, 491–505 (2004)CrossRefGoogle Scholar
  13. Whitehouse, D.J., Archard, A.F.: The properties of random surfaces of significance in their contact. Proc. R. Sot. A 316, 97–121 (1970)CrossRefGoogle Scholar
  14. Zhang, S., Wang, W., Zhao, Z.: The effect of surface roughness characteristics on the elastic–plastic contact performance. Tribology International 79, 59–73 (2014)CrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Meriem Bel Hadj Amor
    • 1
    Email author
  • Saoussen Belghith
    • 1
  • Salah Mezlini
    • 1
  • Hedi Bel Hadj Salah
    • 1
  1. 1.Mechanical Engineering Laboratory, National Engineering School of MonastirUniversity of MonastirMonastirTunisia

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