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A multiscale molecular dynamics approach to contact mechanics

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Abstract.

The friction and adhesion between elastic bodies are strongly influenced by the roughness of the surfaces in contact. Here we develop a multiscale molecular dynamics approach to contact mechanics, which can be used also when the surfaces have roughness on many different length-scales, e.g., for self affine fractal surfaces. As an illustration we consider the contact between randomly rough surfaces, and show that the contact area varies linearly with the load for small load. We also analyze the contact morphology and the pressure distribution at different magnification, both with and without adhesion. The calculations are compared with analytical contact mechanics models based on continuum mechanics.

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References

  • J. Krim, I. Heyvaert, C. Van Haesendonck, Y. Bruynseraede, Phys. Rev. Lett. 70, 57 (1993)

    Article  ADS  Google Scholar 

  • R. Buzio, C. Boragno, F. Biscarini, F.B. de Mongeot, U. Valbusa, Nat. Mater. 2, 233 (2003)

    Article  Google Scholar 

  • B.N.J. Persson, O. Albohr, U. Tartaglino, A.I. Volokitin, E. Tosatti, J. Phys. Condens. Matter 17, R1 (2005)

  • B.N.J. Persson, J. Chem. Phys. 115, 3840 (2001)

    Article  ADS  Google Scholar 

  • B.N.J. Persson, Eur. Phys. J. E 8, 385 (2002)

    Google Scholar 

  • S. Curtarolo, G. Ceder, Phys. Rev. Lett. 88, 255504 (2002)

    Article  ADS  Google Scholar 

  • X.B. Nie, S.Y. Chen, W.N. E, M.O. Robbins, J. Fluid Mech. 500, 55 (2004)

    Article  ADS  MATH  Google Scholar 

  • W.E, Z. Huang, Phys. Rev. Lett. 87, 135501 (2001)

    Article  ADS  Google Scholar 

  • W.A. Curtin, R.E. Miller, Modell. Simul. Mater. Sci. Eng. 11, R33 (2003)

  • W. Cai, M. de Koning, V.V. Bulatov, S. Yip, Phys. Rev. Lett. 85, 3213 (2000)

    Article  ADS  Google Scholar 

  • K.L. Johnson, Contact Mechanics (Cambridge University Press, Cambridge, 1985)

  • J. Israelachvili, Intermolecular, Surface Forces (Academic Press, London, 1992)

  • B. Luan, M.O. Robbins, Nature 435, 929 (2005)

    Article  ADS  Google Scholar 

  • B.N.J. Persson, F. Bucher, B. Chiaia, Phys. Rev. B 65, 184106 (2002)

    Article  ADS  Google Scholar 

  • M. Borri-Brunetto, B. Chiaia, M. Ciavarella, Comput. Meth. Appl. Mech. Eng. 190, 6053 (2001)

    Article  MATH  Google Scholar 

  • S. Hyun, L. Pei, J.F. Molinari, M.O. Robbins, Phys. Rev. E 70, 026117 (2004)

    Article  ADS  Google Scholar 

  • K.L. Johnson, K. Kendall, A.D. Roberts, Proc. R. Soc. A 324, 301 (1971)

    ADS  Google Scholar 

  • K. Kendall, Molecular Adhesion, its Applications (New York, Kluwer, 2001)

  • K.N.G. Fuller, D. Tabor, Proc. R. Soc. A 345, 327 (1975)

    ADS  Google Scholar 

  • J.A. Greenwood, J.B.P. Williamson, Proc. Roy. Soc. London, Ser. A 295, 300 (1966); see also, J.F. Archard, Proc. Roy. Soc. London, Ser. A 243, 190 (1957)

    Google Scholar 

  • A.W. Bush, R.D. Gibson, T.R. Thomas, Wear 35, 87 (1975); A.W. Bush, R.D. Gibson, G.P. Keogh, Mech. Res. Commun. 3, 169 (1976)

    Article  Google Scholar 

  • B.N.J. Persson, P. Ballone, J. Chem. Phys. 112, 9524 (2000); Solid State Comm. 115, 599 (2000)

    Article  ADS  Google Scholar 

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Yang, C., Tartaglino, U. & Persson, B. A multiscale molecular dynamics approach to contact mechanics. Eur. Phys. J. E 19, 47–58 (2006). https://doi.org/10.1140/epje/e2006-00004-9

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