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Granular matter: a tentative view

P. G. de Gennes

P. G. de Gennes

  • Collège de France, Physique de la Matière Condensée, 75231 Paris Cedex 05, France

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Rev. Mod. Phys. 71, S374 – Published 1 March, 1999

DOI: https://doi.org/10.1103/RevModPhys.71.S374

Abstract

Granular matter describes large collections of small grains, under conditions in which the Brownian motion of the grains is negligible (sizes d>1 micrometer). The grains can exhibit solidlike behavior and fluidlike behavior, but the description of these states is still controversial. The present discussion is restricted to static problems, for which the main approach is to describe properly the initial state of each volume element, when it was deposited from a fluid flow.

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References (75)

  1. Ahn, A., C. Brennen, and R. Sabersky, 1988, in Micromechanics of Granular Materials, edited by M. Satake and J. Jenkins (Elsevier, New York).
  2. Bagnold, E. R., 1941, Physics of Blown Sand and Sand Dunes (Chapman and Hall, London).
  3. Barker, G. C., and A. Mehta, 1991 Phys. Rev. Lett. 67, 394.
  4. Barker, G. C., and A. Mehta, 1992 Phys. Rev. A. 65, 3935.
  5. Barker, G. C., and A. Mehta, 1993 Phys. Rev. E. 47, 184.
  6. Bernal, J. D., 1964, Proc. R. Soc. London, Ser. A 280, 299.
  7. Bernu, B., and R. Mazichi, 1990, J. Phys. A 23, 5745.
  8. Biarez, J., and M. Gourves, 1989, Eds., Powders and Grains (Balkema, Rotterdam).
  9. Biarez, J., and K. Wiendick, 1963, C. R. Acad. Sci. (Paris) 256, 1217.
  10. Bouchaud, J. P., P. Claudin, M. Cates, and M. Cates, 1997, in Physics of Dry Granular Media, Proceedings of the Cargèse Workshop, edited by H. Hermann, P. Hovi, and S. Ludwig (Kluwer Academic, Dordrecht) p. 97).
  11. Bouchaud, J. P., M. Cates, and P. Claudin, 1995, J. Phys. II (Paris), 639.
  12. Bouchaud, J. P., M. Cates, R. Prakash, and S. F. Edwards, 1994, J. Phys. II 4, 1383.
  13. Boutreux, T. et al., 1997Physica A 266, 59.
  14. Boutreux, T. et al., 1998 Phys. Rev. E 58, 4692.
  15. Bowden, P., and D. Tabor, 1973, Friction: An Introduction (Doubleday, New York).
  16. Brockbank, R., J. M. Huntley, and R. C. Ball, 1997, J. Phys. II 7, 1521.
  17. Brown, R., and J. C. Richards, 1970, Principles of Powder Mechanics (Pergamon, Oxford).
  18. Cates, M., J. P. Wittmer, J. P., Bouchaud, and P. Claudin, 1998a, Phys. Rev. Lett. 81, 1861.
  19. Cates, M., J. P. Wittmer, J. P. Bouchaud, and P. Claudin, 1998b, Philos. Trans. A R. Soc. London, in press.
  20. Clément, E., S. Luding, A. Blumen, J. Rajchenbach, and J. Duran, 1993, Int. J. Mod. Phys. 9, 1807.
  21. Coniglio, A., and H. Hermann, 1996, Physica A 225, 1.
  22. de Gennes, P. G., 1996, Europhys. Lett. 35, 145.
  23. de Gennes, P. G., 1997, C. R. Acad. Sci. (Paris) 325 II, 9.
  24. de Gennes, P. G., 1998, in Powders and Grains (Balkema, Rotterdam), p. 4.
  25. Desrues, J., 1991, in Physics of Granular Media, Les Houches Series, edited by D. Bideau and J. Dodds (Nova Sci.), p. 127.
  26. Drake, J. J., 1991, J. Fluid Mech. 121, 225.
  27. Duffy A., and M. Mendlin, 1957, J. Appl. Mech. (ASME), 24, 585.
  28. Duran, J., 1997, Sables, Poudres et Grains (Eyrolles, Paris).
  29. Edwards, S. F., and C. C. Mounfield, 1996, Physica A 226, 1,12,25.
  30. Evesque, P., 1991, Phys. Rev. A 43, 2720.
  31. Evesque, P., and P. G. de Gennes, 1998, C. R. Acad. Sci. (Paris), Ser. II, 326, 761.
  32. Finney, J. L., 1970 Proc. R. Soc. London, Ser. A 319, 479.
  33. Goddard, J., 1990, Proc. R. Soc. London, Ser. A 430, 105.
  34. Goddard, J., 1998, in Physics of Granular Media, Proceedings of NATO Institute, edited by H. Herrmann, J. P. Hovi, and S. Luding (Kluwer Academic, Dordrecht).
  35. Hagen, G., 1852, Monatsber. Dtsch. Akad. Wiss. Berlin, p. 35.
  36. Hanes, D., and D. Inman, 1985, Proc. R. Soc. London, Ser. A 150, 357.
  37. Herrmann, H., 1998, in Physics of Granular Media, Proceedings of NATO Institute, edited by H. Herrmann, J. P. Hovi, and S. Luding (Kluwer Academic, Dordrecht), p. 319.
  38. Jaeger, H., C. Liu, and S. Nagel, 1988, Phys. Rev. Lett. 62, 40.
  39. Jaeger, H., S. Nagel, and R. Behringer, 1996, Rev. Mod. Phys. 68, 1250.
  40. Janssen, H. A., and Z. Vereins, 1895, Dtsch. Eng. 39(25), 1045.
  41. Jenike, A. W., 1961, Bulletin 108, Utah Eng. Exp. Station (University of Utah).
  42. Knight, J. B., C. Fandrich, C. Lau, H. Jaeger, and S. Nagel, 1995, Phys. Rev. E 51, 3957.
  43. Levine, D., 1997, Phys. World 30, 26.
  44. Liu, C. H., S. Nagel, D. Shechter, S. Coppersmith, S. Majumdar, O. Narayan, and T. Witten, 1995, Science 269, 513.
  45. Miller, B., C. O’Hern, and R. P. Behringer, 1996, Phys. Rev. Lett. 77, 3110.
  46. Moreau, J. J., 1994, Eur. J. Mech. A/Solids 13, 93.
  47. Mueth, D., H. Jaeger, and S. Nagel, 1998, Phys. Rev. E 57, 3164.
  48. Nakagawa, H. et al., 1993Exp. Fluids 16, 56.
  49. Nedermann, R., 1992, Statics and Kinematics of Granular Materials (Cambridge University Press, Cambridge, England).
  50. Nedermann, R., U. Tuzun, S. Savage, and G. Houlsby, 1982, Chem. Eng. Sci. 37, 1597.
  51. Nicodemi, M., A. Coniglio, and H. Herrmann, 1997 Phys. Rev. E 55, 3962.
  52. Nowak, E. R., J. B. Knight, E. Ben Haim, H. Jaeger, and S. Nagel, 1998, Phys. Rev. E, in press.
  53. Oda, M., 1972, Soils and Foundations, Vol. 2, p. 1.
  54. Oda, M., 1993, in Powders and Grains, edited by Thornton (Balkema, Rotterdam), p. 161.
  55. Oda, M., and T. Sudoo, 1989, in Powders and Grains, edited by J. Biarez and M. Gourves (Balkema, Rotterdam), p. 156.
  56. Onoda, G., and E. Lininger, 1990, Phys. Rev. Lett. 64, 2727.
  57. Ouaguenouni, S., and J. N. Roux, 1995, Europhys. Lett. 32, 449.
  58. Radjai, F., M. Jean, J. J. Moreau, and S. Roux, 1996, Phys. Rev. Lett. 77, 274.
  59. Rayleigh, Lord (John William Strutt) 1906, Philos. Mag. 36, 11.
  60. Rayleigh, Lord (John William Strutt) 1906, Philos. Mag. 36, 61.
  61. Rayleigh, Lord (John William Strutt) 1906, Philos. Mag. 36, 129.
  62. Rayleigh, Lord (John William Strutt) 1906, Philos. Mag. 36, 206.
  63. Reynolds, O., 1885, Philos. Mag. 5, 469.
  64. Savage, S. B., 1997a, Disorder and Granular Media (North-Holland, Amsterdam).
  65. Savage, S. B., 1997b, in Powders and Grains, edited by R. Behringer and Jenkins (Balkema, Rotterdam), p. 185.
  66. Schofield, A. N., and C. P. Wroth, 1968, Critical State of Soil Mechanics (McGraw-Hill, New York).
  67. Scott, G. D., 1962, Nature (London) 194, 956.
  68. Selig, E. T., and R. Ladd, 1973, American Society for Testing of Materials, Publication No. 523 (Baltimore, Maryland).
  69. Thompson, P. A., and G. S. Grest, 1991, Phys. Rev. Lett. 67, 1751.
  70. Tillemans, H. J., and H. J. Herrmann, 1995, Physica A 217, 261.
  71. Umbanhowar, P., F. Melo, and H. Swinney, 1996, Nature (London) 382, 793.
  72. Vanel, L., E. Clément, J. Lanuza, and J. Duran, 1998, in Physics of Dry Granular Media, edited by H. Herrmann, J. P. Hovi, and S. Luding (Kluwer Academic, Dordrecht), p. 249.
  73. Wittmer, J. P., M. Cates, and P. Claudin, 1997, J. Phys. I 7, 39.
  74. Zenz, F. A., 1997, in Handbook of Powder Science and Technology, edited by M. El Fayed and L. Otten (Chapman and Hall, London), Chap. 11.
  75. Zhuang, X., A. Didwanis, and J. Goddard, 1995, J. Comput. Phys. 121, 331.

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Rev. Mod. Phys. 71, S374– Published 1 March, 1999

    © 1999 American Physical Society

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