Contact Force Distribution Beneath a Three-Dimensional Granular Pile
J. Phys. II France, 7 10 (1997) 1521-1532
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P. de GennesReviews of Modern Physics 71 (2) S374 (1999)
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Contact forces in regular 3D granular pile
G. Oron and H.J. HerrmannPhysica A: Statistical Mechanics and its Applications 265 (3-4) 455 (1999)
https://doi.org/10.1016/S0378-4371(98)00648-7
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M.E. Gates, J.P. Wittmer, J.-P. Bouchaud and P. ClaudinPhysica A: Statistical Mechanics and its Applications 263 (1-4) 354 (1999)
https://doi.org/10.1016/S0378-4371(98)00491-9
Stress propagation through frictionless granular material
Alexei Tkachenko and Thomas WittenPhysical Review E 60 (1) 687 (1999)
https://doi.org/10.1103/PhysRevE.60.687
The statistical-mechanical theory of stress transmission in granular materials
S.F. Edwards and D.V. GrinevPhysica A: Statistical Mechanics and its Applications 263 (1-4) 545 (1999)
https://doi.org/10.1016/S0378-4371(98)00496-8
Jamming and static stress transmission in granular materials
M. E. Cates, J. P. Wittmer, J.-P. Bouchaud and P. ClaudinChaos: An Interdisciplinary Journal of Nonlinear Science 9 (3) 511 (1999)
https://doi.org/10.1063/1.166456
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P. G. de GennesMore Things in Heaven and Earth 629 (1999)
https://doi.org/10.1007/978-1-4612-1512-7_41
Jamming, Force Chains, and Fragile Matter
M. E. Cates, J. P. Wittmer, J.-P. Bouchaud and P. ClaudinPhysical Review Letters 81 (9) 1841 (1998)
https://doi.org/10.1103/PhysRevLett.81.1841
Physics of Dry Granular Media
S. B. SavagePhysics of Dry Granular Media 25 (1998)
https://doi.org/10.1007/978-94-017-2653-5_2
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M. E. Cates, D. Muir Wood, G. S. Boulton, et al.Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 356 (1747) 2535 (1998)
https://doi.org/10.1098/rsta.1998.0285
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T. Elperin and A. VikhanskyPhysica A: Statistical Mechanics and its Applications 260 (1-2) 201 (1998)
https://doi.org/10.1016/S0378-4371(98)00327-6
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G. Oron and H. HerrmannPhysical Review E 58 (2) 2079 (1998)
https://doi.org/10.1103/PhysRevE.58.2079
Physics of Dry Granular Media
J. P. Bouchaud, P. Claudin, M. E. Cates and J. P. WittmerPhysics of Dry Granular Media 97 (1998)
https://doi.org/10.1007/978-94-017-2653-5_3
Reflections on the mechanics of granular matter
P.G. de GennesPhysica A: Statistical Mechanics and its Applications 261 (3-4) 267 (1998)
https://doi.org/10.1016/S0378-4371(98)00438-5