Static Friction Phenomena in Granular Materials: Coulomb Law vs. Particle Geometry

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Poeschel, T. ; Buchholtz, V. (1993)
  • Related identifiers: doi: 10.1103/PhysRevLett.71.3963
  • Subject: Condensed Matter | High Energy Physics - Lattice | Nonlinear Sciences - Adaptation and Self-Organizing Systems

The static as well as the dynamic behaviour of granular material are determined by dynamic {\it and} static friction. There are well known methods to include static friction in molecular dynamics simulations using scarcely understood forces. We propose an Ansatz based on the geometrical shape of nonspherical particles which does not involve an explicit expression for static friction. It is shown that the simulations based on this model are close to experimental results.
  • References (30)
    30 references, page 1 of 3

    [1] C. A. Coulomb, Acam. R. Sci. Mem. Math. Phys. par Divers Savants 7, 343 (1773).

    [2] M. Faraday, Phil. Trans. R. Soc. Lond. 52, 299 (1831).

    [3] Hagen, Verhandl. K¨onigl. Preuss. Akad. p.35 (1852).

    [4] P. Cundall and O. D. L. Strack, G´eotechnique 29, 47 (1979).

    [5] H. M. Jaeger and S. Nagel, Science 255, 1523 (1992).

    [6] P. Evesque and J. Rajchenbach, Phys. Rev. Lett. 62, 44 (1989); C. Laroche, S. Douady, and S. Fauve, J. Phys. France 50, 699 (1989); P. Evesque, J. Phys. France 51, 697 (1990); J. Rajchenbach, Europhys. Lett. 16, 149 (1991).

    [7] F. Dinkelacker, A. Hu¨bler, and E. Lu¨scher, Biol. Cybern. 56, 51 (1987); J. Walker, Sci. Am. 247, 167 (1982); P. Evesque, E. Szmatula, and J.-P. Denis, Europhys. Lett. 12, 623 (1990); E. Clement and J. Rajchenbach, Europhys. Lett. 16, 133 (1991); H. J. Herrmann, Physica A 191, 263 (1992); P. Evesque and W. Meftah, preprint (1993).

    [8] Y. H. Taguchi, Phys. Rev. Lett. 69, 1367 (1992); J. Phys. France 2, 2103 (1992); report titcmt-1992-7 (1992); J. Mod. Phys. B 7, 1839 (1993).

    [9] J. A. C. Gallas, H. J. Herrmann, and S. Sokolowski, Phys. Rev. Lett. 69, 1371 (1992); J. Phys. (Paris) 2, 1389 (1992).

    [10] P. K. Haff and B. T. Werner, Powder Technol. 48, 239 (1986).

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