Reflections on the mechanics of granular matter

Physica A: Statistical Mechanics and its Applications

Volumn 261, Issue 3-4, 1998, Pages 267-293

  de Gennes, P G ^a  

^a l'alimentation et l'Environnement   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; BROWNIAN MOVEMENT; GRAIN SIZE AND SHAPE; INTERFACES (MATERIALS); MECHANICAL TESTING; MECHANICS; SAND; SILICA; STRAIN MEASUREMENT; STRESS CONCENTRATION;

HEAP; THERMAL AGITATION; TRIAXIAL TEST;

PARTICLES (PARTICULATE MATTER);

EID: 0032292645     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(98)00438-5     Document Type: Article

References (83)

1. E.R. Bagnold, Chapman & Hall, London, Physics of Blown Sand and Sand Dunes, 1941.
2. H. Jaeger S. Nagel R. Behringer Rev. Mod. Phys. 68 1996 1259
3. R. Brown, J.C. Richards, Principles of Powder Mechanics, Pergamon, Oxford, 1970.
4. J. Duran, Sables, Poudres et Grains, Eyrolles, Paris, 1997.
5. J.D. Bernal Proc. Roy. Soc. (London) A 280 1964 299
6. G.D. Scott Nature 194 1962 956
7. J.L. Finney Proc. Roy. Soc. A 319 1970 479
8. G. Onoda E. Lininger Phys. Rev. Lett. 64 1990 2727
9. E.T. Selig, R. Ladd, 1973, American Soc., for Testing of Materials, Publication no. 523, Baltimore.
10. J.B. Knight C. Fandrich C. Lau H. Jaeger S. Nagel Phys. Rev. E 51 1995 3957
11. E.R. Nowak, J.B. Knight, E. Ben Haim, H. Jaeger, S. Nagel, Phys. Rev. E, to be published.
12. A. Coniglio H. Hermann Physica A 225 1996 1
13. M. Nicodemi A. Coniglio H. Herrmann Phys. Rev. E 55 1997 3962
14. T. Boutreux, P.G. de Gennes, C.R. Acad. Sci. (Paris) 324 (1997) 85–89. T. Boutreux, P.G. de Gennes, Physica A 244 (1977) 59.
15. G. Barker A. Mehta Phys. Rev. Lett. 67 1991 394
16. J. Biarez, M. Gourves, Powders and Grains, Balkena, Rotterdam, 1989.
17. M. Cates, J.P. Wittmer, J.P. Bouchaud, P. Claudin, Jamming, J de Physique (1998).
18. P. Bowden, D. Tabor, Friction: an introduction, Doubleday, New York, 1973.
19. P.G. de Gennes, (1997) C.R. Acad. Sci. (Paris) 325 II 7–14.
20. L. Vanel, E. Clément, J. Lanuza, J. Duran, in: H. Herrmann, M. Luding, N. Hovi (Eds.), Physics of Dry Granular Media, Kluwer, Dordrecht, 1998.
21. A.N. Schofield, C.P. Wroth, Critical State of Soil Mechanics, McGraw-Hill, New York, 1968.
22. H.A. Janssen Z. Vereins Deutsch Eng. 39(25) 1895 1045
23. Rayleigh (Lord), Philos. Mag. 36 (1906) 11, 61, 129, 206.
24. R. Nedermann, Statics and Kinematics of Granular Materials, Cambridge University Press, Cambridge, 1992.
25. J. Duffy R. Mindlin J. App. Mech. (ASME) 24 1957 585
26. J. Goddard Proc. Roy. Soc. (London) 430 1990 105
27. P.G. de Gennes Europhys. Lett. 35 1996 145 149
28. P. Evesque, P.G. de Gennes, C.R. Acad. Sci. (Paris) (1998), submitted.
29. S.F. Edwards, C.C. Mounfield, Physica A 226 (1996) 1, 12, 25.
30. J.P. Bouchaud, M. Cates, P. Claudin, J. Physique II (France) (1995) 639.
31. J.P. Wittmer, M. Cates, P. Claudin, J. Physique I (France) 7 (1997) 39–80.
32. S.B. Savage, in: Behringer, Jenkins (Eds.), Powders and Grains, Balkena, Rotterdam, 1997, p.185.
33. J. Goddard, in: H. Herrmann, J.P. Hovi, S. Luding (Eds.), Physics of granular media, Kluwer, Dordrecht, 1998.
34. R. Brockbank J.M. Huntlley R.C. Ball J. Phys. II (France) 7 1997 1521 1532
35. M. Oda, 1972, Soils and Foundations, vol. 2, p. 1.
36. M. Oda, T. Sudoo, in: Biarez, Gourves (Eds.), Powders and Grains, Balkema, Rotterdam, 1989, pp. 156 and 161.
37. J. Biarez K. Wiendick C. R. Acad. Sci. (Paris) 256 1963 1217
38. A.W. Jenike, Bull. 108, Utah Eng. Exp. Station, University of Utah, 1961.
39. O. Reynolds Philos. Mag. 5(50) 1885 469
40. J. Desrues, in: Bideau, D., Dodds, J., (Eds.), Physics of Granular Media, Nova Sci. Pub., Les Houches Series, 1991, p. 127.
41. H.J. Tillemans H.J. Herrmann Physica A 217 1995 261
42. C.H. Liu S. Nagel D. Shechter S. Coppersmith S. Majumdar O. Narayan T. Witten Science 269 1995 513
43. J.J. Moreau Eur. J. Mech. A Solids 13 1994 93
44. X. Zhuang A. Didwanis J. Goddard J. Comp. Phys. 121 1995 331
45. S. Ouaguenouni J.N. Roux Europhys. Lett. 32 1995 449
46. F. Radjai, D. Wolf, S. Roux, M. Jean, J.J. Moreau, in: R. Behringer, J. Jenkins (Eds.), Powders and Grains, Balkema, Rotterdam, 1997, p. 211.
47. D. Mueth H. Jaeger S. Nagel Phys. Rev. E 57 1998 3164
48. G. Hagen, 1852, Berl. Monats. Akad. Wiss, p. 35.
49. R. Nedermann U. Tuzun S. Savage G. Houlsby Chem. Eng. Sci. 37 1982 1597
50. E.R. Bagnold Proc. Roy. Soc. A 255 1954 49
51. S.B. Savage M. Sayed J. Fluid. Mech. 142 1984 391
52. D. Hanes D. Inman Proc. Roy. Soc. 150 1985 357
53. A. Ahn, C. Brennen, R. Sabersky, in: M. Satake, J. Jenkins (Eds.), Micromechanics of Granular Materials, Elsevier, Amsterdam, 1988.
54. S.B. Savage J. Fluid. Mech. 92 1974 53
55. J.J. Drake J. Fluid Mech. 121 1991 225
56. S. Mc Namara W.R. Young Phys. Rev. E 53 1996 5089
57. Y. Du H. Li L. Kadanoff Phys. Rev. Lett. 74 1995 1268
58. M. Faraday Phil. Trans. Roy. Soc. (London) 121 1831 299
59. B. Bernu R. Mazichi J. Phys. A 23 1990 5745
60. E. Clement S. Luding A. Blumen J. Rajchenbach J. Duran Int. J. Mod. Phys. 1807 1993 9 10
61. F. Melo P. Umbanhowar H. Swinney Phys. Rev. Lett. 75 1995 3838
62. P. Umbanhowar F. Melo H. Swinney Nature 382 1996 793
63. F.A. Zenz, in: M. El Fayed, L. Otten (Eds.), Handbook of Powder Science and Technology, ch. 11, Chapman & Hall, London, 1997.
64. P.A. Thompson G.S. Grest Phys. Rev. Lett. 67 1991 1751
65. J.P. Bouchaud M. Cates R. Prakash S.F. Edwards J. Phys. (France) 4 1994 1383
66. T. Boutreux, E. Raphaël, P.G. de Gennes, 1998 (to be published).
67. P. Evesque Phys. Rev. A 43 1991 2720
68. D. Levine, Looking inside granular materials, Physics World, vol. 30, 1997, p. 26–28.
69. H. Makse P. Cizeau H.E. Stanley Phys. Rev. Lett. 78 1997 3298
70. T. Boutreux P.G. de Gennes J. Phys. (France) 6 1996 1295
71. H. Makse Phys. Rev. E 56 1997 7008
72. T. Boutreux 1998, Thèse, Université Paris 6, to be published.
73. O. Pouliquen J. Delour S.B. Savage Nature 386 1997 816
74. J. Duran T. Mazozi E. Clement J. Rajchenbach Phys. Rev. E 50 1994 5138
75. M. Nakagawa S. Altobelli A. Caprihan E. Fukushima E.K. Jeong Exp. Fluids 16 1993 54
76. H. Herrmann, 1997, On the shape of a sand pile, Proc. the Cargèse Workshop, see ref. [20].
77. B. Miller C. O'Hern R.P. Behringer Phys. Rev. Lett. 77 1996 3110
78. G. Barker A. Mehta Phys. Rev. A 45 1992 3435
79. G. Barker A. Mehta Phys. Rev. E 47 1993 184
80. M. Cates, J.P. Wittmer, J.P. Bouchaud, P. Claudin, 1998, Phil. Trans. Roy. Soc. (London), to be published.
81. P.G. de Gennes, in: R. Behringer, J. Jenkins (Eds.), Powders and Grains, Balkema, Rotterdam, 1997, p. 3.
82. C.H. Liu Science 269 1995 513
83. H. Makse S. Havlin P. King H.E. Stanley Nature 386 1997 379