Microdisplacements induced by a local perturbation inside a granular packing

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

Volumn 68, Issue 4 1, 2003, Pages 423011-423014

  Bonamy, D ^a,b   Bernard Bernardet, S ^a   Daviaud, F ^a   Laurent, L ^a  

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

^b UNIV MONTPELLIER   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CRYSTAL LATTICES; ELASTIC MODULI; ELASTOPLASTICITY; GREEN'S FUNCTION; LOADS (FORCES); MATHEMATICAL MODELS; PHOTOELASTICITY; PRESSURE EFFECTS; STRESSES;

GRANULAR PACKING; MICRODISPLACEMENTS; STEEL BEADS;

STEEL;

EID: 0348167915     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (18)

1. L. Vanel et al., Phys. Rev. E 60, R5040 (1999)
2. K. Terzaghi, Mcanique Thorique des Sols (Dunod, Paris, 1951); K. Terzaghi and R.B. Peck, Mcanique des Sols Applique (Dunod, Paris, 1965).
3. K. Terzaghi, Mcanique Thorique des Sols (Dunod, Paris, 1951); K. Terzaghi and R.B. Peck, Mcanique des Sols Applique (Dunod, Paris, 1965).
4. J.P. Bouchaud, M.E. Cates, and P. Claudin, J. Phys. I 5, 639 (1995); J.P. Wittmer, M.E. Gates, and P. Claudin, ibid. 7, 39 (1997)
5. J.P. Bouchaud, M.E. Cates, and P. Claudin, J. Phys. I 5, 639 (1995); J.P. Wittmer, M.E. Gates, and P. Claudin, ibid. 7, 39 (1997)
6. C.H. Liu et al., Science 269, 513 (1995); S.N. Coppersmith et al., Phys. Rev. E 53, 4673 (1996)
7. C.H. Liu et al., Science 269, 513 (1995); S.N. Coppersmith et al., Phys. Rev. E 53, 4673 (1996)
8. G. Reydellet and E. Clement, Phys. Rev. Lett. 86, 3308 (2001)
9. M. da Silva and J. Rajchenbach, Nature (London) 406, 708 (2000)
10. J.F. Geng et al., Phys. Rev. Lett. 87, 035506 (2001)
11. J.P. Bouchaud et al., Eur. Phys. J. E 4, 451 (2001)
12. P. Claudin and J.P. Bouchaud, Phys. Rev. Lett. 78, 231 (1997); M. Nicodemi, ibid. 80, 1340 (1998)
13. P. Claudin and J.P. Bouchaud, Phys. Rev. Lett. 78, 231 (1997); M. Nicodemi, ibid. 80, 1340 (1998)
14. For weights of several kilograms, beads motion becomes sufficient to be measured quantitatively. Orientation of the moving beads is observed to be actually oriented toward the free surface.
15. D. Bonamy, Ph.D. thesis, Universit Paris XI, 2001.
16. sασα with 1/6≤ α ≤1/4 [X. Jia, C. Caroli, and B. Velicky, Phys. Rev. Lett. 82, 1863 (1999)]. Consequently, it can be assumed to be constant in our minimalist model.
17. teπ is splitted are determined by the orientation of the total force Σ applied on this grain, and not only by the orientation Φ. These loops were also, handled by choosing the two neighbors and the two orientations among the ones determined by the previous splitting on the same bead. It does not affect the average distribution of the overload [Figs. 4(a,b)] and the displacement [Figs. 4(c,d)].
18. As the beads are placed on a triangular regular lattice whatever is the disorder stage in the simulation, the model predictions cannot be compared quantitatively to the experiments performed within the disordered packing.