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Collective Effects at Frictional Interfaces

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Abstract

We discussed the role of the long-range elastic interaction between the contacts inside an inhomogeneous frictional interface. The interaction produces a characteristic elastic correlation length λc = a 2 E/k c (where a is the distance between the contacts, k c is the elastic constant of a contact, and E is the Young modulus of the sliding body), below which the slider may be considered as a rigid body. The strong inter-contact interaction leads to a narrowing of the effective threshold distribution for contact breaking and enhances the chances for an elastic instability to appear. Above the correlation length, r > λc, the interaction leads to screening of local perturbations in the interface, or to appearance of collective modes—frictional cracks propagating as solitary waves.

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Acknowledgments

The authors wish to express their gratitude to E.A. Jagla, B.N.J. Persson, M. Urbakh, and S. Zapperi for helpful discussions. This study was supported in part by CNRS-Ukraine PICS grant No. 5421, by ESF Eurocore FANAS AFRI through CNR-Italy, by PRIN/COFIN 20087NX9Y7, and by the SNF Sinergia Project NPA1617. O.B. acknowledges hospitality at SISSA and ICTP Trieste.

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Authors and Affiliations

  1. Institute of Physics, National Academy of Sciences of Ukraine, 46 Science Avenue, Kiev, 03028, Ukraine

    O. M. Braun & D. V. Stryzheus

  2. Laboratoire de Physique de l’Ecole Normale Supérieure de Lyon, 46 Allée d’Italie, 69364, Lyon Cedex 07, France

    Michel Peyrard

  3. International School for Advanced Studies (SISSA), Via Bonomea 265, 34136, Trieste, Italy

    Erio Tosatti

  4. International Centre for Theoretical Physics (ICTP), P.O. Box 586, 34014, Trieste, Italy

    Erio Tosatti

  5. CNR-IOM Democritos National Simulation Center, Via Bonomea 265, 34136, Trieste, Italy

    Erio Tosatti

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  1. O. M. Braun
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  2. Michel Peyrard
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  3. D. V. Stryzheus
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  4. Erio Tosatti
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Correspondence to Michel Peyrard.

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Braun, O.M., Peyrard, M., Stryzheus, D.V. et al. Collective Effects at Frictional Interfaces. Tribol Lett 48, 11–25 (2012). https://doi.org/10.1007/s11249-012-9913-z

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