Force chain splitting in granular materials: A mechanism for large-scale pseudo-elastic behaviour

European Physical Journal E

Volumn 4, Issue 4, 2001, Pages 451-457

  Bouchaud, J P ^a   Claudin, P ^b,c   Levine, D ^b   Otto, M ^a  

^a SERVICE DE PHYSIQUE DE L ETAT CONDENSÉ   (France)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^c Lab Milieux Desordonnes Heterogenes   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0004567810     PISSN: 12928941     EISSN: None     Source Type: Journal    
DOI: 10.1007/s101890170100     Document Type: Article

References (38)

1. R-G. de Gennes, Physica A 261, 293 (1998).
2. S.B. Savage, in Physics of Dry Granular Media, edited by H.J. Herrmann, J.P. Hovi, S. Luding, NATO ASI, Ser. E, Vol. 350 (1997), p. 25.
3. J.-P. Bouchaud, P. Claudin, M.E. Gates, J.P. Wittrner, in Physics of Dry Granular Media, edited by H.J. Herrmann, J.P. Hovi, S. Lading, NATO ASI, Ser, E, Vol. 350 (1997), p. 97.
4. M.E. Cates, J.P. Wittmer, J.-P. Bouchaud, P. Claudin, Phil. Trans. Roy. Soc. Lond. A 356, 2535 (1998).
5. L. Landau, E. Lifshitz, Elasticity Theory (Pergamon, New York, 1986).
6. G. Combe, J.-N. Roux, Phys. Rev. Lett. 85, 3628 (2000).
7. J.-P. Bouchaud, M.E. Cates, P. Claudin, J. Phys. I 5, 639 (1995).
8. J.P. Wittmer, P. Claudin, M.E. Cates, J.-P. Bouchaud, Nature 382, 336 (1996); J.P. Wittmer, P. Claudin, M.E. Cates, J. Phys. I 7, 39 (1997).
9. J.P. Wittmer, P. Claudin, M.E. Cates, J.-P. Bouchaud, Nature 382, 336 (1996); J.P. Wittmer, P. Claudin, M.E. Cates, J. Phys. I 7, 39 (1997).
10. P. Claudin, Ann. Phys. (Paris). 24, 1 (1999).
11. R.M. Nedderman, Statics and Kinematics of Granular Materials (Cambridge University Press, 1992).
12. L. Vanel, P. Claudin, J.-P. Bouchaud, M.E. Cates, E. Clément, J.P. Wittmer, Phys. Rev. Lett. 84, 1439 (2000).
13. M.E. Cates, J.P. Wittmer, J.-P. Bouchaud, P. Claudin, Phys. Rev. Lett. 81, 1841 (1998).
14. J. Šmíd, J. Novosad, Proc. Powtech. Conference 1981, Ind. Chem. Eng. Symp. 63, D3V 1 (1981); R. Brockbank, J.M. Huntley, R.C. Ball. J. Phys. II 7, 1521 (1997).
15. J. Šmíd, J. Novosad, Proc. Powtech. Conference 1981, Ind. Chem. Eng. Symp. 63, D3V 1 (1981); R. Brockbank, J.M. Huntley, R.C. Ball. J. Phys. II 7, 1521 (1997).
16. L. Vanel, D.W. Howell, D. Clark, R.P. Behringer, E. Clement, Phys. Rev. E 60, R5040 (1999)
17. C.-h. Liu, S.R. Nagel, D.A. Scheeler, S.N. Coppersmith, S. Majumdar, O. Narayan, T.A. Witten, Science 269, 513 (1995); S.N. Coppersmith, C.-h. Liu, S. Majumdar, O. Narayan, T.A. Witten, Phys. Rev. E 53, 4673 (1996). See also S. Luding, preprint.
18. C.-h. Liu, S.R. Nagel, D.A. Scheeler, S.N. Coppersmith, S. Majumdar, O. Narayan, T.A. Witten, Science 269, 513 (1995); S.N. Coppersmith, C.-h. Liu, S. Majumdar, O. Narayan, T.A. Witten, Phys. Rev. E 53, 4673 (1996). See also S. Luding, preprint.
19. J. Geng, D. Howell, E. Longhi, R.P. Behringer, G. Reydellet, L. Vanel, E. Clement, S. Luding, preprint, condmat/0012127.
20. S. Nagel et al., in preparation.
21. V. Tkachenko, T.A. Witten, Phys. Rev. E 60, 687 (1999); see also S.F. Edwards, D.V. Grinev, Phys. Rev. Lett. 82, 5397 (1999).
22. V. Tkachenko, T.A. Witten, Phys. Rev. E 60, 687 (1999); see also S.F. Edwards, D.V. Grinev, Phys. Rev. Lett. 82, 5397 (1999).
23. G. Reydellet, E. Clément, preprint, cond-mat/0012083.
24. E. Clément, G. Reydellet, L. Vanel, D.W. Howell, J. Geng, R.P. Behringer, XIII International Congress on Rheology, Cambridge (UK), Vol. 2 (British Society of Rheology, Glasgow, 2000) p. 426.
25. J.-J. Moreau, in the proceedings of the colloque 'Physique et mécanique des matériaux granulaires', Champs-sur-Marne (France) (École Nationale des Ponts et Chausées, Marne-la-vallée, 2000) p. 199.
26. M. da Silva, J. Rajchenbach, Nature 406, 70 (2000).
27. S.F. Edwards, Physica A 249, 226 (1998).
28. P. Dantu, Ann. Ponts Chaussées 4, 144 (1967).
29. See also the numerical simulations of F. Radjai. D.E. Wolf, M. Jean, J.J. Moreau, Phys. Rev. Lett. 80, 61 (1998), and references therein.
30. V.M. Kenkre, J.E. Scott, E.A. Pease, A.J. Hurd, Phys. Rev. E 57, 5841 (1998); J.E. Scott, V.M. Kenkre, A.J. Hurd, Phys. Rev. E 57, 5850 (1998).
31. V.M. Kenkre, J.E. Scott, E.A. Pease, A.J. Hurd, Phys. Rev. E 57, 5841 (1998); J.E. Scott, V.M. Kenkre, A.J. Hurd, Phys. Rev. E 57, 5850 (1998).
32. P. Claudin, J.-P. Bouchaud, M.E. Gates, J.P. Wittmer, Phys. Rev. E 57, 4441 (1998).
33. M.C.W. van Rossum, Th.M. Nieuwenhuizen, Rev. Mod. Phys. 71, 313 (1999).
34. see J. Duran, Sables, poudres et grains (Eyrolles Sciences, Paris, 1997): see also H.A. Makse, N. Gland, D.L. Johnson, L.M. Schwartz, Phys. Rev. Lett. 83. 5070 (1999).
35. see J. Duran, Sables, poudres et grains (Eyrolles Sciences, Paris, 1997): see also H.A. Makse, N. Gland, D.L. Johnson, L.M. Schwartz, Phys. Rev. Lett. 83. 5070 (1999).
36. M. Otto, J. P. Bouchaud, Ph. Claudin, in preparation.
37. F. Cantelaube, J. Goddard, in Physics of Dry Granular Media, edited by H.J. Herrmann, J.P. Hovi. S. Luding, NATO ASI, Ser. E, Vol. 350 (1997) p. 123.
38. E. Amic, J.-M. Luck, Th. Nieuwenhuizen, J. Phys. A 29, 4915 (1996).