Nonlinear effects of particle shape angularity in sheared granular media

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 86, Issue 4, 2012, Pages

  Azéma, Emilien ^a   Estrada, Nicolas ^b   Radjaï, Farhang ^a  

^a UNIVERSITÉ MONTPELLIER 2   (France)

^b UNIVERSIDAD DE LOS ANDES   (Colombia)

Author keywords

[No Author keywords available]

Indexed keywords

ANGULAR PARTICLES; CONTACT DYNAMICS; FRICTION FORCE; GEOMETRICAL PROPERTY; GRANULAR MEDIA; GRANULAR PACKINGS; MAXIMUM VALUES; NONLINEAR EFFECT; NORMAL FORCES; PACKING FRACTIONS; PARTICLE SHAPE; REGULAR POLYGON; SHEAR BEHAVIOR; STEADY SHEAR; TANGENTIAL FORCE;

ANISOTROPY; FRICTION; GRANULAR MATERIALS; SHEAR FLOW;

PARTICLES (PARTICULATE MATTER);

EID: 84867460642     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.86.041301     Document Type: Article

References (73)

1. K. Mair, K. M. Frye, and C. Marone, J. Geophys. Res. 0148-0227 10.1029/2001JB000516 107, 2219 (2002).
2. F. Alonso-Marroquin and H. J. Herrmann, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.66.021301 66, 021301 (2002). (Pubitemid 40618641)
3. A. Mirghasemi, L. Rothenburg, and E. Maryas, Geotechnique 0016-8505 10.1680/geot.2002.52.3.209 52, 209 (2002).
4. C. Nouguier-Lehon, B. Cambou, and E. Vincens, Int. J. Numer. Anal. Meth. Geomech. 0363-9061 10.1002/nag.314 27, 1207 (2003). (Pubitemid 37525554)
5. Y. Guo and J. Morgan, J. Geophys. Res. 0148-0227 10.1029/2004JB003044 109, 12305 (2004). (Pubitemid 40289966)
6. J. L. Anthony and C. Marone, J. Geophys. Res. JGREA2 0148-0227 10.1029/2004JB003399 110, B08409 (2005). (Pubitemid 41461600)
7. A. Pena, A. Lizcano, F. Alonso-Marroquin, and H. Herrman, Int. J. Numer. Anal. Meth. Geomech. 1145, 1 (2006).
8. E. Azéma, F. Radjai, R. Peyroux, and G. Saussine, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.76.011301 76, 011301 (2007). (Pubitemid 47115675)
9. S. A. Galindo-Torres, J. D. Munoz, and F. Alonso-Marroquin, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.056713 82, 056713 (2010).
10. E. Azéma, F. Radjaï, and G. Saussine, Mech. Mater. 0167-6636 10.1016/j.mechmat.2009.01.021 41, 729 (2009).
11. E. Azéma, F. Radjai, R. Peyroux, F. Dubois, and G. Saussine, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.74.031302 74, 031302 (2006). (Pubitemid 44395166)
12. E. Azéma, Y. Descantes, N. Roquet, J.-N. Roux, and F. Chevoir, Phys. Rev. E 1539-3755 10.1103/PhysRevE.86.031303 86, 031303 (2012).
13. A. Donev, F. H. Stillinger, P. M. Chaikin, and S. Torquato, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.255506 92, 255506 (2004).
14. S. Sacanna, L. Rossi, A. Wouterse, and A. P. Philipse, J. Phys.: Condens. Matter 0953-8984 10.1088/0953-8984/19/37/376108 19, 376108 (2007).
15. I. Zuriguel, T. Mullin, and J. M. Rotter, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.028001 98, 028001 (2007). (Pubitemid 46135154)
16. I. Zuriguel and T. Mullin, Proc. R. Soc. A 1364-5021 10.1098/rspa.2007. 1899 464, 99 (2008).
17. R. C. Hidalgo, I. Zuriguel, D. Maza, and I. Pagonabarraga, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.118001 103, 118001 (2009).
18. E. Azéma and F. Radjaï, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.81.051304 81, 051304 (2010).
19. T. Kanzaki, M. Acevedo, I. Zuriguel, I. Pagonabarraga, D. Maza, and R. Hidalgo, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/i2011-11133-5 34, 133 (2011).
20. E. Azéma and F. Radjai, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.85.031303 85, 031303 (2012).
21. B. Saint-Cyr, C. Voivret, J. Delenne, F. Radjai, and P. Sornay, in Powders and Grains 2009, in Proceedings of the Sixth International Conference on Micromechanics of Granular Media, AIP Conf. Proc. No. 1145 (AIP, New York, 2009), pp. 389-392.
22. B. Saint-Cyr, J.-Y. Delenne, C. Voivret, F. Radjai, and P. Sornay, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.84.041302 84, 041302 (2011).
23. G. Saussine, C. Cholet, P. Gautier, F. Dubois, C. Bohatier, and J. Moreau, Comput. Methods Appl. Mech. Eng. CMMECC 0045-7825 10.1016/j.cma.2005.07. 006 195, 2841 (2006).
24. E. Nezami, Y. Hashash, D. Zaho, and J. Ghaboussi, Int. J. Numer. Anal. Meth. Geomech. 0363-9061 10.1002/nag.500 30, 783 (2006). (Pubitemid 44044507)
25. Discrete Numerical Modeling of Granular Materials, edited by F. Radjai and F. Dubois (Wiley-ISTE, New-York, 2011).
26. E. Azéma, F. Radjai, R. Peyroux, V. Richefeu, and G. Saussine, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/i2007-10331-0 26, 327 (2008).
27. J. J. Moreau, J. Diff. Equ. JDEQAK 0022-0396 10.1016/0022-0396(77)90085-7 26, 347 (1977).
28. J. J. Moreau, C. R. Acad. Sci. Paris, Série II 296, 1473 (1983).
29. J. J. Moreau, in Topics in Nonsmooth Mechanics, edited by, P. Panagiotopoulos, and, G. Strang, (Bikhäuser, Basel, 1988), pp. 1-74.
30. J. J. Moreau, in Nonsmooth Mechanics and Applications, edited by, J. J. Moreau, and, P. Panagiotopoulos, CISM Vol. 302 (Springer, Wien, 1988), pp. 1-82.
31. J. J. Moreau, in Powders & Grains 93 (Balkema, Rotterdam, 1993), p. 227.
32. J.-J. Moreau, Eur. J. Mech. A Solids 13, 93 (1994).
33. M. Jean and E. Pratt, Int. J. Eng. Sci. IJESAN 0020-7225 10.1016/0020-7225(85)90060-6 23, 497 (1985). (Pubitemid 16519729)
34. M. Jean, Arch. Mech. Warszawa 40, 677 (1988).
35. M. Jean and J. J. Moreau, in Proceedings of Contact Mechanics International Symposium, edited by, A. Curnier, (Presses Polytechniques et Universitaires Romandes, Lausanne, 1992), pp. 31-48.
36. M. Jean, F. Jourdan, and B. Tathi, in Handbooks on Theory and Engineering Applications of Computational Methods, edited by, M. J. M. Barata Marques, in Proceedings of the IDDRG 1994 Open Sessions of the 18th Biennial Congress (IDDRG, Lisboa, 1994).
37. M. Jean, Frictional Contact in Rigid or Deformable Bodies: Numerical Simulation of Geomaterials (Elsevier Science, Amsterdam, 1995), pp. 463-486.
38. M. Jean, Comput. Methods Appl. Mech. Eng. CMMECC 0045-7825 10.1016/S0045-7825(98)00383-1 177, 235 (1999). (Pubitemid 30510498)
39. P. Cundall, in Proceedings of the Symposium of the International Society of Rock Mechanics, Nancy, France, 1971, Vol. 1 (ISRM, Lisboa, 1971), pp. 132-150.
40. P. A. Cundall and O. Strack, Geotechnique GTNQA8 0016-8505 10.1680/geot.1979.29.1.47 29, 47 (1979).
41. C. Thornton and K. K. Yin, Powder Technol. POTEBX 0032-5910 10.1016/0032-5910(91)80178-L 65, 153 (1991).
42. H. J. Herrmann, Molecular dynamics simulations of dry granular media, in The first Nisshin Engineering Particle Technology International Seminar: Discrete Particle Simulations in Powder Technology, Osaka, Japan, 1993, p. 8.
43. C. Thornton, Computer simulation of impact fracture/fragmentation, in The first Nisshin Engineering Particle Technology International Seminar: Discrete Particle Simulations in Powder Technology, Osaka, Japan, 1993, p. 17.
44. T. Pöschel and V. Buchholtz, J. Phys. I (Paris) JPGCE8 1155-4304 10.1051/jp1:1995208 5, 1431 (1995).
45. C. Thornton, J. Appl. Mech. JAMCAV 0021-8936 10.1115/1.2787319 64, 383 (1997).
46. S. Luding, in Physics of Dry Granular Media, edited by, H. J. Herrmann, J.-P. Hovi, and, S. Luding, NATO Advanced Studies Institute, Series E: Applied Science, Vol. 350 (Kluwer Academic, Dordrecht, 1998), p. 285.
47. S. McNamara and H. Herrmann, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.70.061303 70, 061303 (2004). (Pubitemid 40213913)
48. X. Garcia and E. Medina, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.75.061308 75, 061308 (2007). (Pubitemid 47143691)
49. F. A. Gilabert, J.-N. Roux, and A. Castellanos, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.75.011303 75, 011303 (2007). (Pubitemid 46134169)
50. V. Richefeu, M. S. El Youssoufi, R. Peyroux, and F. Radjai, Int. J. Numer. Anal. Methods Geomech. 0363-9061 10.1002/nag.674 32, 1365 (2007).
51. V. Visseq, A. Martin, D. Iceta, E. Azéma, D. Dureisseix, and P. Alart, Comput. Mech. 0178-7675 10.1007/s00466-012-0699-5 49, 709 (2012).
52. H.-G. Matuttis, S. Luding, and H. J. Herrmann, Powder Technol. POTEBX 0032-5910 10.1016/S0032-5910(99)00243-0 109, 278 (2000). (Pubitemid 30177131)
53. F. Dubois and M. Jean, in Analysis and Simulation of Contact Problems, edited by, P. Wriggers, and, U. Nackenhorst, Lecture Notes in Applied and Computational Mechanics, Vol. 27 (Springer, Berlin, 2006), pp. 375-378.
54. A. Taboada, K. J. Chang, F. Radjai, and F. Bouchette, J. Geophys. Res. JGREA2 0148-0227 10.1029/2003JB002955 110, 1 (2005). (Pubitemid 41582620)
55. C. Voivret, F. Radjai, J.-Y. Delenne, and M. S. El Youssoufi, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.76.021301 76, 021301 (2007). (Pubitemid 47210347)
56. GDR-MiDi, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/i2003-10153-0 14, 341 (2004). (Pubitemid 40877368)
57. J. Mitchell and K. Soga, Fundamentals of Soil Behavior (Wiley, New York, 2005).
58. www.cgp-gateway.org/ref016.
59. J. J. Moreau, in Friction, Arching, Contact Dynamics, edited by, D. E. Wolf, and, P. Grassberger, (World Scientific, Singapore, 1997), pp. 233-247.
60. M. Oda, J. Koshini, and S. Nemat-Nasser, Geotechnique GTNQA8 0016-8505 10.1680/geot.1980.30.4.479 30, 479 (1980).
61. L. Rothenburg and R. J. Bathurst, Geotechnique GTNQA8 0016-8505 10.1680/geot.1989.39.4.601 39, 601 (1989).
62. F. Radjai, D. E. Wolf, M. Jean, and J. J. Moreau, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.61 80, 61 (1998).
63. F. Radjai, H. Troadec, and S. Roux, in Granular Materials: Fundamentals and Applications, edited by, S. Antony, W. Hoyle, and, Y. Ding, (Royal Society of Chemistry, Cambridge, 2004), pp. 157-184.
64. B. Cambou, P. Dubujet, and C. Nouguier-Lehon, Mech. Mater. MSMSD3 0167-6636 10.1016/j.mechmat.2002.12.002 36, 1185 (2004).
65. C. Nouguier-Lebon, E. Vincens, and B. Cambou, Int. J. Solids Struct. IJSOAD 0020-7683 10.1016/j.ijsolstr.2005.04.021 42, 6356 (2005). (Pubitemid 41329222)
66. N. Estrada, A. Taboada, and F. Radjai, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78.021301 78, 021301 (2008).
67. C. Voivret, F. Radjai, J.-Y. Delenne, and M. S. El Youssoufi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.178001 102, 178001 (2009).
68. N. Estrada, E. Azéma, F. Radjai, and A. Taboada, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.84.011306 84, 011306 (2011).
69. F. Radjai, J.-Y. Delenne, E. Azéma, and S. Roux, Granular Matter 1434-5021 10.1007/s10035-012-0321-8 14, 259 (2012).
70. H. Ouadfel and L. Rothenburg, Mech. Mater. MSMSD3 0167-6636 10.1016/S0167-6636(00)00057-0 33, 201 (2001). (Pubitemid 32264339)
71. F. Radjaï and V. Richefeu, Mech. Mater. MSMSD3 0167-6636 10.1016/j.mechmat.2009.01.028 41, 715 (2009).
72. J. Moreau, in Novel Approaches in Civil Engineering, edited by, M. Frémond, and, F. Maceri, Lecture Notes in Applied and Computational Mechanics, Vol. 14 (Springer-Verlag, Berlin, 2004), pp. 1-46.
73. F. Radjaï and E. Azéma, Eur. J. Env. Civil Eng. 1964-8189 10.1080/19648189.2009.9693100 13, 203 (2009).