Sliding Friction between Polymer-brush-bearing Surfaces: Crossover from Brush-brush Interfacial Shear to Polymer-substrate Slip.

MRS Online Proceedings Library volume 651, Article number: 321 (2000) Cite this article

Abstract

A model is presented for the shear (or frictional) forces Fs between two surfaces a distance D apart as they slide past each other while bearing mutually compressed polymer brushes, on the assumption that sliding takes place at the brush-brush interface. The predictions of the model for the rapid increase in Fs at increasing compressions are in reasonable agreement with experiments on polystyrene brushes immersed in toluene over two decades in Fs. At higher compressions (smaller D) the experimental shear forces increase only slowly, and diverge from the calculated ones which continue to increase rapidly; at the same time the form of the shear force response at these higher compressions reverts from a viscous-like one to a stick-slip behaviour. These observations strongly indicate that at sufficiently high compressions the plane of slip crosses over from the brush-brush interface to the polymer-solid surface.

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References

  1. 1.

    J. Klein, et al., Nature 370, 634–636 (1994).

    CAS  Article  Google Scholar 

  2. 2.

    J. Klein, Ann. Rev. Mater. Sci. 26, 581–612 (1996).

    CAS  Article  Google Scholar 

  3. 3.

    P. Schorr, S. M. Kilbey and M. Tirrell, Polymer Preprints (Abstr. Amer. Chem. Soc) 218:278-POLY, Part 2 AUG, U477 (1999).

    Google Scholar 

  4. 4.

    S. Milner, T. A. Witten and M. Cates, Macromolecules 21, 2610 (1988).

    CAS  Article  Google Scholar 

  5. 5.

    E. B. Zhulina and A. Semenov, Poly. Sci USSR 31, 196 (1989).

    Article  Google Scholar 

  6. 6.

    S. Alexander, J.Phys (Paris) 38, 983–987 (1977).

    CAS  Article  Google Scholar 

  7. 7.

    P. G. de Gennes, Adv. Colloid Interface Sci. 27, 189–209 (1987).

    Article  Google Scholar 

  8. 8.

    C. M. Wijmans, E. B. Zhulina and G. J. Fleer, Macromolecules 27, 3238–3248 (1994).

    CAS  Article  Google Scholar 

  9. 9.

    T. Witten, L. Leibler and P. Pincus, Macromolecules 23, 824–829 (1990).

    CAS  Article  Google Scholar 

  10. 10.

    J. Klein, E. Kumacheva, D. Perahia and L. J. Fetters, Acta Polymerica 49, 617–625 (1998).

    CAS  Article  Google Scholar 

  11. 11.

    D. Tabor, Friction (Doubleday, New York,1973).

    Google Scholar 

  12. 12.

    J. D. Ferry, Viscoelastic properties of polymers, 3rd Edn. (Wiley, New York, 1985).

    Google Scholar 

  13. 13.

    J.-F. Joanny, Langmuir 8, 989–995 (1992).

    CAS  Article  Google Scholar 

  14. 14.

    M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Oxford University Press, New York,1986).

    Google Scholar 

  15. 15.

    P. G. de Gennes, Scaling Concepts in Polymer Physics (Cornell Univ. Press, Ithaca, N.Y.,1979).

    Google Scholar 

  16. 16.

    W. W. Graessley, R. L. Hazleton and L. R. Lindeman, Trans. Soc. Rheology 11, 267–285 (1967).

    CAS  Article  Google Scholar 

  17. 17.

    L. A. Utracki and J. E. L. Roovers, Macromolecules 6, 366–372 (1973).

    CAS  Article  Google Scholar 

  18. 18.

    U. Raviv, R. Tadmor and J. Klein, J. Phys. Chem. Submitted, (2000).

Download references

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Affiliations

  1. Weizmann Institute of Science, Rehovot, 76100, Israel

    Jacob Klein

  2. Physical and Theoretical Chemistry Laboratory, Oxford University, Oxford, OX1 3QZ, UK

    Jacob Klein

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  1. Jacob Klein
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Correspondence to Jacob Klein.

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Klein, J. Sliding Friction between Polymer-brush-bearing Surfaces: Crossover from Brush-brush Interfacial Shear to Polymer-substrate Slip.. MRS Online Proceedings Library 651, 321 (2000). https://doi.org/10.1557/PROC-651-T3.2.1

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