Directed force chain networks and stress response in static granular materials

European Physical Journal E

Volumn 7, Issue 4, 2002, Pages 353-370

  Socolar, J E S ^a   Schaeffer, D G ^a   Claudin, P ^b  

^a DUKE UNIVERSITY   (United States)

^b UMR 7603   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CHAINS; GRANULAR MATERIALS; NONLINEAR EQUATIONS;

COMPLETE SOLUTIONS; FORCE CHAIN NETWORKS; INTERMEDIATE DEPTHS; NONTRIVIAL FIXED POINT; STATIC GRANULAR MATERIALS; STATIC SANDPILES; STRESS RESPONSE; THEORY OF STRESS;

BOLTZMANN EQUATION;

EID: 0036557413     PISSN: 12928941     EISSN: None     Source Type: Journal    
DOI: 10.1140/epje/i2002-10011-7     Document Type: Article

References (25)

1. R.M. Nedderman, Statics and Kinematics of Granular Materials (Cambridge University Press, 1992).
2. F. Cantelaube, J.D. Goddard, Elastoplastic Arching in Granular Heaps, in Powder and Grains 97, edited by R.P. Behringer, J.T. Jenkins, (Balkema, Rotterdam, 1997).
3. S. Edwards, D. Grinev, Physica A 294, 57 (2001).
4. J.-P. Bouchaud, M. Cates, P. Claudin, J. Phys. I 5, 639 (1995).
5. P. Claudin, J.-P. Bouchaud, M. Cates, J. Wittmer, Phys. Rev. E 57, 4441 (1998).
6. A. Tkachenko, T. Witten, Phys. Rev. E 60, 687 (1999).
7. R. Ball, R. Blumenfeld, Phys. Rev. Lett. 88, 115505 (2002).
8. G. Combe, J.-N. Roux, Phys. Rev. Lett. 85, 3628 (2000).
9. D. Head, A. Tkachenko, T. Witten, Eur. Phys. J. E 6, 99 (2001).
10. S.N. Coppersmith, C.-H. Liu, S. Majumdar, O. Narayan, T.A. Witten, Phys. Rev. E 53, 4673 (1996).
11. J. Socolar, Phys. Rev. E 60, 1999 (1999).
12. C. Eloy, E. Clement, J. Phys. I 7, 1541 (1997).
13. D. Howell, R.P. Behringer, Fluctuations and Dynamics for a Two-dimensional Sheared Granular Material, in Powder and Grains 97, edited by R.P. Behringer, J.T. Jenkins, (Balkema, Rotterdam, 1997).
14. F. Radjai, M. Jean, J.-J. Moreau, S. Roux, Phys. Rev. Lett. 77, 274 (1996).
15. M. Cates, J. Wittmer, J.-P. Bouchaud, P. Claudin, Phys. Rev. Lett. 81, 1841 (1998).
16. J.-P. Bouchaud, P. Claudin, D. Levine, M. Otto, Eur. Phys. J. E 4, 451 (2001).
17. L.D. Landau, E.M. Lifshitz, Theory of Elasticity, third edition (Pergamon, Oxford, 1986).
18. L. Limat, Phys. Rev. B 40, 9253 (1989).
19. L. Breton, E. Clément, P. Claudin, J.-D. Zucker, cond-mat/0205089.
20. D. Serero, G. Reydellet, P. Claudin, E. Clément, D. Levine, Eur. Phys. J. E 6, 169 (2001).
21. M. Otto, P. Claudin, J.-P. Bouchaud, J.E.S. Socolar, in preparation.
22. C. Goldenberg, I. Goldhirsch, cond-mat/0108297 (2001).
23. J. Geng et al., Phys. Rev. Lett. 87, 035506 (2001).
24. G. Reydellet, E. Clément, Phys. Rev. Lett. 86, 3308 (2001).
25. D. Blair, N. Mueggenburg, A. Marshall, H. Jaeger, S. Nagel, Phys. Rev. E 63, 041304 (2001).