The European Physical Journal E

, Volume 29, Issue 3, pp 275–284 | Cite as

Contact mechanics and rubber friction for randomly rough surfaces with anisotropic statistical properties

  • G. CarboneEmail author
  • B. Lorenz
  • B. N. J. Persson
  • A. Wohlers
Regular Article


In this paper we extend the theory of contact mechanics and rubber friction developed by one of us (B.N.J. Persson, J. Chem. Phys. 115, 3840 (2001)) to the case of surfaces with anisotropic surface roughness. As an application we calculate the viscoelastic contribution to the rubber friction. We show that the friction coefficient may depend significantly on the sliding direction, while the area of contact depends weakly on the sliding direction. We have carried out experiments for rubber blocks sliding on unidirectionally polished steel surfaces. The experimental data are in a good qualitative agreement with the theory.


46.55.+d Tribology and mechanical contacts 81.40.Pq Friction, lubrication, and wear 62.40.+i Anelasticity, internal friction, stress relaxation, and mechanical resonances 81.05.Lg Polymers and plastics; rubber; synthetic and natural fibers; organometallic and organic materials 


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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • G. Carbone
    • 1
    • 2
    Email author
  • B. Lorenz
    • 1
    • 3
  • B. N. J. Persson
    • 1
  • A. Wohlers
    • 3
  1. 1.IFF, FZ-JülichJülichGermany
  2. 2.DIMeG - Politecnico di BariBariItaly
  3. 3.IFASRWTH Aachen UniversityAachenGermany

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