Multi-scale analysis of the stress state in a granular slope in transition to failure

European Physical Journal E

Volumn 18, Issue 3, 2005, Pages 311-320

  Staron, L ^a   Radjai, F ^b   Vilotte, J P ^c  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b CNRS   (France)

^c INSTITUT DE PHYSIQUE DU GLOBE DE PARIS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FAILURE ANALYSIS; GRAIN BOUNDARIES; GRANULAR MATERIALS;

CONTACT DYNAMICS; GRANULAR SLOPE; METASTABILITY; STRESS RATIO;

STRESS ANALYSIS;

EID: 27844492924     PISSN: 12928941     EISSN: 1292895X     Source Type: Journal    
DOI: 10.1140/epje/e2005-00031-0     Document Type: Article

References (41)

1. C.A. Coulomb, Acad. Roy. Sci. Math. Phys. 7, 343 (1773)
2. D.C. Drucker, J. Appl. Mech. 21, 71-74 (1954)
3. D.M. Wood, Soil, behaviour and critical state soil mechanics (Cambridge University Press, Cambridge, 1990)
4. M. Oda, K. Iwashita, eds., Mechanics of Granular Materials (A.A. Balkema, Rotterdam, 1999)
5. H.M. Jaeger, S. Nagel, Rev. Mod. Phys. 68, 1259 (1996)
6. P.-G. de Gennes, Rev. Mod. Phys. 71, S374 (1999)
7. H.M. Jaeger, C. Liu, S.R. Nagel, Phys. Rev. Lett. 62, 40 (1989)
8. F. Darve, F. Laouafa, Mech. Cohesive-Frictional Mat. 5, 627 (2000)
9. A. Daerr, S. Douady, Nature 399, 241 (1999)
10. S. Deboeuf, E.M. Bertin, E. Lajeunesse, O. Dauchot, Eur. Phys. J. B 36, 105 (2003)
11. L. Quartier, B. Andreotti, S. Douady, A. Daerr, Phys. Rev. E 62, 8299 (2000)
12. J.J. Alonso, J.-P. Hovi, H.J. Herrmann, Phys. Rev. E 58, 672 (1998)
13. A. Lemâtre, Phys. Rev. Lett. 89, 064303 (2002)
14. L. Staron, J.-P. Vilotte, F. Radjai, Phys. Rev. Lett. 89, 204302 (2002)
15. M. Oda, Soils Found. 12, 17 (1972)
16. M. Oda, J. Koshini, S. Nemat-Nasser, Geotechnique 30, 479 (1980)
17. L. Rothenburg, R.J. Bathurst, Geotechnique 39, 601 (1989)
18. B. Cambou, in Powders and Grains 93, edited by C. Thornton (A.A. Balkema, Amsterdam, 1993), p. 73
19. F. Radjai, in Physics of dry granular media - NATO ASI Series E350, edited by H.J. Herrmann, J.-P. Hovi, S. Luding (Kluwer Academic Publishers, Dordrecht, 1998), p. 305
20. D. Howell, R.P. Berhinger, C. Veje, Phys. Rev. Lett. 82, 5241 (1999)
21. F. Darve, F. Laouafa, in Numerical, Models in Geomaterials, edited by Prande, Pietruszczak, Schweiger (Balkema, Rotterdam, 1999), p. 85
22. S. Roux, F. Radjai, in Mechanics for a New Millennium, edited by H. Aref, J. Philips (Kluwer Acad. Pub., Netherlands, 2001), p. 181
23. J.-J. Moreau, in Friction. Arching, Contact Dynamics (World Scientific, Singapore, 1997), p. 233
24. F. Radjai, S. Roux, Phys. Rev. Lett. 89, 064302 (2002)
25. P.A. Cundall, O.D.L. Stack, Geotechnique 29, 47 (1979)
26. H.J. Herrmann, Physica A 191, 263 (1992)
27. S. Luding, in Physics of dry granular media - NATO ASI Series E350, edited by H.J. Herrmann, J.-P. Hovi, S. Luding (Kluwer Academic Publishers, Dordrecht, 1998), p. 285
28. J.-J. Moreau, in Nonsmooth mechanics and applications, edited by J. Moreau, P. Panagiotopoulos (Springer Verlag, 1988)
29. M. Jean, J.-J. Moreau, in Proc. of Contact Mech. Int. Symp., edited by A. Curnier (1992a), p. 31
30. M. Jean, J.-J. Moreau, in Proceedings of Contact Mechanics International Symposium (Presses Polytechniques et Universitaires Romandes, Lausanne, Switzerland, 1992b), p. 31
31. J.-J. Moreau, Europ. J. Mech. A/Solids Supp.(4), 93 (1994)
32. M. Jean, Frictional contact in rigid or deformable bodies: numerical simulation of geomaterials (A.P.S. Salvadurai J.M. Boulon, Elsevier Science Publisher, Amsterdam, 1995), p. 463
33. F. Radjai, D.E. Wolf, M. Jean, J.-J. Moreau, Phys. Rev. Lett. 90, 61 (1998)
34. J. Christoffersen, M.M. Mehrabadi, S. Nemat-Nasser, J. Appl. Mech. 48, 339 (1981)
35. N.P. Kruyt, L. Rothenburg, J. App. Mech. 118, 706 (1996)
36. J.D. Goddard, Physics of dry granular media (Kluwer Academic Publishers, 1998), Chap. Continuum modeling of granular assemblies
37. R.M. Nedderman, Statics and kinematics of granular materials (Cambridge Univ. Press, Cambridge, 1992)
38. H.L. Frisch, E. Sonnenblick, V.A. Vyssotsky, J.M. Hammersley, Phys. Rev. 124, 1021 (1961)
39. M.F. Sykes, J.W. Essam, Phys. Rev. 133, A310 (1964)
40. H. Scher, R. Zallen, J. Chem. Phys. 53, 3759 (1970)
41. P.-Y. Hicher, in Behaviour of Granular Materials (Springer, Wien, 2000), p. 1