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Friction

, Volume 3, Issue 2, pp 183–190 | Cite as

The research works of Coulomb and Amontons and generalized laws of friction

  • Elena PopovaEmail author
  • Valentin L. Popov
Open Access
Short Communication

Abstract

The paper is devoted to the contributions of Coulomb and Amontons to the physics of friction from the viewpoint of current discussions and attempts to formulate generalized laws of friction.

Keywords

static friction sliding friction kinetics of friction material dependency history of science 

References

  1. [1]
    Dowson D. In History of Tribology. London: Longman Group Limited, 1979: 678.Google Scholar
  2. [2]
    Amontons G. De la resistance cause’e dans les machines (About resistance and force in machines). Mem l’Acedemie R A: 257–282 (1699)Google Scholar
  3. [3]
    Barber J R. Multiscale surfaces and Amontons’ law of friction. Trib Lett 49: 539–543 (2013)CrossRefGoogle Scholar
  4. [4]
    He G, Müser M H, Robbins M O. Adsorbed layers and the origin of static friction. Science 284: 1650–1652 (1999)CrossRefGoogle Scholar
  5. [5]
    Stewart Gillmor C. In Coulomb and the Evolution of Physics and Engineering in Eighteenth-Century France. Princeton: Princeton University Press, 1971: 328.Google Scholar
  6. [6]
    Coulomb C A. Sur une application des regles de maximis & minimis a quelques problemes de statique, relatifs a I’ architecture. Memoires de Mathematique & de Physique, presentes a I’ Academie. Royale des Sciences par divers Savans, & Ius dans ses Assemblees 7: 343–382 (1773)Google Scholar
  7. [7]
    Heyman J. In Coulomb’s Memoir on Statics. An Essay in the History of Civil Engineering. London: Imperial College Press, 1997: 212.CrossRefGoogle Scholar
  8. [8]
    Popov V L. Contact Mechanics and Friction. Physical Principles and Applications. Berlin: Springer, 2010.zbMATHCrossRefGoogle Scholar
  9. [9]
    Coulomb C A. Theorie des machines simple (Theory of simple machines). Bachelier, Paris, 1821.Google Scholar
  10. [10]
    Coulomb C A. Memoire sur les frottemens de la pointe des pivots. Paris, 1797: 448–471.Google Scholar
  11. [11]
    Coulomb C A. Experiences destinees a determiner la coherence des fluides et les lois de leur resistance dans les movements tre lents. Paris, 1801: 246–305Google Scholar
  12. [12]
    Popov V L, Dimaki A, Psakhie S, Popov M. On the role of scales in contact mechanics and friction between elastomers and randomly rough self-affine surfaces. Sci Rep in press (2015)Google Scholar
  13. [13]
    Greenwood J A, Tabor D. The friction of hard sliders on lubricated rubber-The importance of deformation losses. Proc Roy Soc London 71: 989–1001 (1958)CrossRefGoogle Scholar
  14. [14]
    Grosch K A. Relation between friction and visco-elastic properties of rubber. Proc Roy Soc London A 274: 21–39 (1963)CrossRefGoogle Scholar
  15. [15]
    Li Q, Popov M, Dimaki A, Filippov A E, Kürschner S, Popov V L. Friction between a viscoelastic body and a rigid surface with random self-affine roughness. Phys Rev Lett 111: 034301 (2013)CrossRefGoogle Scholar
  16. [16]
    Popov V L, Voll L, Li Q, Chai Y S, Popov M. Generalized law of friction between elastomers and differently shaped rough bodies. Sci Rep 4: 3750 (2014)Google Scholar
  17. [17]
    Rhee S K. Wear equation for polymer sliding against metal surfaces. Wear 16: 431–445 (1970)CrossRefGoogle Scholar
  18. [18]
    Dieterich J H. Time dependent friction and the mechanics of stick-slip. Pure Appl Geophys 116: 790–806 (1978)CrossRefGoogle Scholar
  19. [19]
    Dieterich J H. Modeling of rock friction: 1. Experimental results and constitutive equations. J Geophys Res Solid Earth 84: 2161–2168 (1979)CrossRefGoogle Scholar
  20. [20]
    Rice J R, Ruina A L. Stability of steady frictional slipping. J Appl Mech 50: 343–349 (1983)zbMATHCrossRefGoogle Scholar
  21. [21]
    Müser M H, Urbakh M, Robbins M O. Statistical mechanics of static and low-velocity kinetic friction. In Advance in Chemical Physics, Ed. by Prigogine I, Rice S A. John Wiley & Sons, Inc., 2003.Google Scholar
  22. [22]
    Grzemba B. New experimental investigations on the Dieterich-Ruina law. Facta Universitatis, Ser Mech Eng 13(1) (2015)Google Scholar
  23. [23]
    Otsuki M, Matsukawa H. Systematic breakdown of Amontons’ law of friction for an elastic object locally obeying Amontons’ law. Sci Rep 3: 1586 (2013)CrossRefGoogle Scholar
  24. [24]
    Rubinstein S M, Cohen G, Fineberg J. Detachment fronts and the onset of dynamic friction. Nature 430: 1005–1009 (2004)CrossRefGoogle Scholar

Copyright information

© The author(s) 2015

Authors and Affiliations

  1. 1.Institute of MechanicsTechnische Universität BerlinBerlinGermany
  2. 2.National Research Tomsk State UniversityTomskRussia

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