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Tribology Letters

, 67:120 | Cite as

Solid Flow Regimes Within Dry Sliding Contacts

  • Guilhem MollonEmail author
Original Paper
  • 96 Downloads

Abstract

In this paper, we investigate the regimes of velocity accommodation and of load transmission within a dry sliding interface, in the presence of a solid and discontinuous interfacial layer (the so-called third body). To that end, an appropriate numerical framework called the multibody meshfree approach is used to implement a local model of such an interface, and a comprehensive dimensionless parametric study is performed in order to analyse the influence of the mechanical properties of the third body on the interfacial solid flow regimes, on the friction coefficient, and on the modes of energy dissipation. To that end, the concept of partial coefficient of friction is introduced. The numerical results demonstrate that the friction in the interface is limited by changes in the kinematics of the shear accommodation in the third-body layer and by the activation of different modes of energy dissipation (related either to surface area creation/destruction in the third-body layer or to bulk deformation of the solid matter composing it) which are uncorrelated in the parametric space of the mechanical properties of the third-body particles.

Keywords

Friction Contact Third body Soft grains Shearing Flow regimes 

Notes

Compliance with Ethical Standards

Conflict of interest

The author acknowledges that this study contains original material, as a result of a purely academic study without any kind of private funding or conflict of interest. Its publication has been approved tacitly by the responsible authorities at the institute where the work has been carried out.

Supplementary material

Supplementary material 1 (AVI 135539 kb)

A video showing the flow regimes, the von Mises stress fields, and the local strain rate fields for some portions of the seven simulations A to G is provided as supplementary material to this paper.

References

  1. 1.
    Kounoudji, K., Renouf, M., Mollon, G., Berthier, Y.: Role of third body on bolted joints’ self-loosening. Tribol. Lett. 61, 25 (2016)Google Scholar
  2. 2.
    Scholtz, C.H.: The mechanics of earthquakes and faulting, 2nd edn. Cambridge University Press, Cambridge (2012)Google Scholar
  3. 3.
    Pastewka, L., Prodanov, N., Lorenz, B., Müser, M.H., Robbins, M.O., Persson, B.N.J.: Finite-size scaling in the interfacial stiffness of rough elastic contacts. Phys. Rev. E 87(6), 062809 (2013)Google Scholar
  4. 4.
    Luan, B.Q., Hyun, S., Molinari, J.-F., Berstein, N., Robbind, M.O.: Multiscale modeling of two-dimensional contacts. Phys. Rev. E 74, 046710 (2006)Google Scholar
  5. 5.
    Dieterich, J., Kilgore, B.D.: Imaging surface contacts: power law contact distributions and contact stresses in quartz, calcite, glass, and acrylic plastic. Tectonophysics 256, 219–239 (1996)Google Scholar
  6. 6.
    Yastrebov, V.A., Anciaux, G., Molinari, J.-F.: Contact between representative rough surfaces. Phys. Rev. E 86, 035601 (2012)Google Scholar
  7. 7.
    Bowden, F.P., Tabor, D.: The friction and lubrication of solids. Oxford University Press, Oxford (1950)Google Scholar
  8. 8.
    Berthier, Y.: Experimental evidence for friction and wear modelling. Wear 139, 77–92 (1990)Google Scholar
  9. 9.
    Jacq, C., Nelias, D., Lormand, G., Girodin, D.: Development of a three-dimensional semi-analytical elastic-plastic contact code. J. Tribol. 124(4), 653–667 (2002)Google Scholar
  10. 10.
    Tsala, S., Berthier, Y., Mollon, G., Bertinotti, A.: Numerical analysis of the contact pressure in a quasi-static elastomeric reciprocating sealing system. J. Tribol. 140, 064502-1 (2018)Google Scholar
  11. 11.
    Saulot, A., Baillet, L.: Dynamic finite element simulations for understanding wheel-rail contact oscillatory states occurring under sliding conditions. J. Tribol. 128, 761–770 (2006)Google Scholar
  12. 12.
    Fagiani, R., Barbieri, M.: Modelling of finger-surface contact dynamics. Tribol. Int. 74, 130–137 (2014)Google Scholar
  13. 13.
    Berthier, Y., Descartes, S., Busquet, M., Niccolini, E., Desrayaud, C., Baillet, L., Baietto-Dubourg, M.C.: The role and effects of the third body in the wheel–rail interaction. Fatigue Fract. Eng. Mater. Struct. 2004(27), 423–436 (2004)Google Scholar
  14. 14.
    Godet, M.: The third-body approach: a mechanical view of wear. Wear 100, 437–452 (1984)Google Scholar
  15. 15.
    Colas, G., Saulot, A., Godeau, C., Michel, Y., Berthier, Y.: Describing third body flows to solve dry lubrication issue—MoS2 case study under ultrahigh vacuum. Wear 305(1–2), 192–204 (2013)Google Scholar
  16. 16.
    Elrod, H.G., Brewe, D.E.: Numerical experiments with flows of elongated granules. Tribol. Ser. 21, 219–226 (1991)Google Scholar
  17. 17.
    Seve, B., Iordanoff, I., Berthier, Y.: A discrete solid third body model: influence of the intergranular forces on the macroscopic behavior. Tribol. Interface Eng. Ser. 39, 361–368 (2001)Google Scholar
  18. 18.
    Fillot, N., Iordanoff, I., Berthier, Y.: Simulation of wear through a mass balance in a dry contact. ASME J. Tribol. 127(1), 230–237 (2005)Google Scholar
  19. 19.
    Renouf, M., Fillot, N.: Coupling electrical and mechanical effects in discrete element simulations. Int. J. Numer. Methods Eng. 74, 238–254 (2008)Google Scholar
  20. 20.
    Mollon, G.: A numerical framework for discrete modelling of friction and wear using Voronoi polyhedrons. Tribol. Int. 90, 343–355 (2015)Google Scholar
  21. 21.
    Renouf, M., Massi, F., Fillot, N., Saulot, A.: Numerical tribology of a dry contact. Tribol. Int. 44, 834–844 (2011)Google Scholar
  22. 22.
    Cundall, P.A., Strack, O.D.L.: A discrete numerical model for granular assemblies. Géotechnique 29(1), 47–65 (1979)Google Scholar
  23. 23.
    Ghaboussi, J., Barbosa, R.: Three-dimensional discrete element method for granular materials. Int. J. Numer. Anal. Meth. Geomech. 14, 451–472 (1990)Google Scholar
  24. 24.
    Tsoungui, O., Vallet, D., Charmet, J.C.: Numerical model of crushing of grains inside two-dimensional granular materials. Powder Technol. 105, 190–198 (1999)Google Scholar
  25. 25.
    Donze, F.V., Richefeu, V., Magnier, S.A.: Advances in discrete element method applied to soil, rock and concrete mechanics. Electr. J. Geotechn. Eng. 8, 44 (2009)Google Scholar
  26. 26.
    Mollon, G., Richefeu, V., Villard, P., Daudon, D.: Discrete modelling of rock avalanches: sensitivity to block and slope geometries. Granul. Matter 17(5), 645–666 (2015)Google Scholar
  27. 27.
    Renouf, M., Cao, H.-P., Nhu, V.-H.: Multiphysical modeling of third-body rheology. Tribol. Int. 44, 417–425 (2011)Google Scholar
  28. 28.
    Champagne, M., Renouf, M., Berthier, Y.: Modeling wear for heterogeneous bi-phasic materials using discrete elements approach. ASME J. Tribol. 136(2), 021603 (2014)Google Scholar
  29. 29.
    Da Cruz, F., Emam, S., Prochnow, M., Roux, J.-N., Chevoir, F.: Rheophysics of dense granular materials: discrete simulation of plane shear flows. Phys. Rev. E 72, 021309 (2005)Google Scholar
  30. 30.
    Coussot, P., Ancey, G.: Rheophysical classification of concentrated suspensions and granular pastes. Phys. Rev. E 59(4), 4445 (1999)Google Scholar
  31. 31.
    Mollon, G., Zhao, J.: 3D generation of realistic granular samples based on random fields theory and Fourier shape descriptors. Comput. Methods Appl. Mech. Eng. 279, 46–65 (2014)Google Scholar
  32. 32.
    Azema, E., Radjai, F., Saussine, G.: Quasistatic rheology, force transmission and fabric properties of a packing of irregular polyhedral particles. Mech. Mater. 41, 729–741 (2009)Google Scholar
  33. 33.
    Harthong, B., Jerier, J.-F., Richefeu, V., Chareyre, B., Doremus, P., Imbault, D., Donzé, F.-V.: Contact impingement in packings of elastic-plastic spheres, application to powder compaction. Int. J. Mech. Sci. 61, 32–43 (2012)Google Scholar
  34. 34.
    Gustafsson, G., Haggblad, H.-A., Jonsen, P.: Multi-particle finite element modelling of the compression of iron pellets with statistically distributed geometric and material data. Powder Technol. 239, 231–238 (2013)Google Scholar
  35. 35.
    Nayroles, B., Touzot, G., Villon, P.: Generalizing the finite element method: diffuse approximation and diffuse elements. Comput. Mech. 10, 307–318 (1992)Google Scholar
  36. 36.
    Belytschko, T., Lu, Y.Y., Gu, L.: Element-free Galerkin methods. Int. J. Numer. Meth. Eng. 37, 229–256 (1994)Google Scholar
  37. 37.
    Mollon, G.: A multibody meshfree strategy for the simulation of highly deformable granular materials. Int. J. Numer. Meth. Eng. 108(12), 1477–1497 (2016)Google Scholar
  38. 38.
    Mollon, G.: A unified numerical framework for rigid and compliant granular materials. Comput. Part. Mech. 5(4), 517–527 (2018)Google Scholar
  39. 39.
    Mollon, G.: Mixtures of hard and soft grains: micromechanical behavior at large strains. Granul. Matter 20, 39 (2018)Google Scholar
  40. 40.
    Savenkov, G.G., Meshcheryakov, Y.I.: Structural viscosity of solids. Combust. Explos Shock Waves 38(3), 352–357 (2002)Google Scholar
  41. 41.
    Zhang, J., Majmudar, T., Behringer, R.: Force chains in a two-dimensional granular pure shear experiment. Chaos 18, 041107 (2008)Google Scholar
  42. 42.
    Su, L., Gao, F., Han, X., Chen, J.: Effect of copper powder third body on tribological property of copper-based friction material. Tribol. Int. 90, 420–425 (2015)Google Scholar
  43. 43.
    Wu, H., Baker, I., Liu, Y., Wu, X., Munroe, P.R.: Effects of environment on the sliding tribological behaviors of Zr-based bulk metallic glass. Intermetallics 25, 115–125 (2012)Google Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Université de Lyon, LaMCoS, INSA-Lyon, CNRS UMR5259LyonFrance

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