V. Acary and M. Jean, Numerical simulation of monuments by the contact dynamics method, Monument-98, Workshop on Seismic Performance of Monuments, pp.12-14, 1998.
URL : https://hal.archives-ouvertes.fr/inria-00425359

I. Agnolin and J. Roux, Internal states of model isotropic granular packings. I. Assembling process, geometry, and contact networks, Physical Review E, vol.76, issue.6, pp.6-1061302, 2007.
DOI : 10.1103/PhysRevE.76.061302

URL : https://hal.archives-ouvertes.fr/hal-00148554

S. J. Antony, Evolution of force distribution in three-dimensional granular media, Physical Review E, vol.63, issue.1, p.11302, 2001.
DOI : 10.1103/PhysRevE.63.011302

E. Azéma, F. Radjai, and G. Saussine, Quasistatic rheology and force transmission in a packing of polyhedral particles, 2008.

E. Azéma, F. Radjai, R. Peyroux, and G. Saussine, Force transmission in a packing of pentagonal particles, Physical Review E, vol.76, issue.1, p.11301, 2007.
DOI : 10.1103/PhysRevE.76.011301

R. P. Behringer, E. Karen, . Daniels, S. Trushant, M. Majmudar et al., Fluctuations, correlations and transitions in granular materials: statistical mechanics for a non-conventional system, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.70, issue.5, 2007.
DOI : 10.1103/PhysRevLett.92.054302

A. Bershadskii, Stochastic density waves of granular flows: strong-intermittent dissipation fields with self-organization, Physica A: Statistical Mechanics and its Applications, vol.210, issue.3-4, pp.386-390, 1994.
DOI : 10.1016/0378-4371(94)90086-8

I. Bratberg, F. Radjai, and A. Hansen, Dynamic rearrangements and packing regimes in randomly deposited two-dimensional granular beds, Physical Review E, vol.66, issue.3, pp.31303-31304, 2002.
DOI : 10.1103/PhysRevE.66.031303

URL : https://hal.archives-ouvertes.fr/hal-00759657

N. Brilliantov, C. Saluea, T. Schwager, and T. Pschel, Transient Structures in a Granular Gas, Physical Review Letters, vol.93, issue.13, p.134301, 2004.
DOI : 10.1103/PhysRevLett.93.134301

V. Nikolai, N. Brilliantov, F. Albers, T. Spahn, and . Pschel, Collision dynamics of granular particles with adhesion, Phys Rev E Stat Nonlin Soft Matter Phys, vol.76, issue.5, p.51302, 2007.

B. Brogliato, Nonsmooth mechanics, 1999.
URL : https://hal.archives-ouvertes.fr/hal-01236953

P. A. Cundall and O. D. Strack, A discrete numerical model for granular assemblies, G??otechnique, vol.29, issue.1, pp.47-65, 1979.
DOI : 10.1680/geot.1979.29.1.47

S. Frdric-da-cruz, M. Emam, J. Prochnow, F. Roux, and . Chevoir, Rheophysics of dense granular materials: Discrete simulation of plane shear flows, Physical Review E, vol.72, issue.2, p.21309, 2005.
DOI : 10.1103/PhysRevE.72.021309

S. Dippel, G. G. Batrouni, and D. E. Wolf, Collision-induced friction in the motion of a single particle on a bumpy inclined line, Physical Review E, vol.54, issue.6, p.6845, 1996.
DOI : 10.1103/PhysRevE.54.6845

S. F. Foerster, M. Y. Louge, H. Chang, and K. Allia, Measurements of the collision properties of small spheres, Physics of Fluids, vol.6, issue.3, pp.1108-1115, 1994.
DOI : 10.1063/1.868282

X. Garca and E. Medina, Acoustic response of cemented granular sedimentary rocks: Molecular dynamics modeling, Physical Review E, vol.75, issue.6, p.61308, 2007.
DOI : 10.1103/PhysRevE.75.061308

F. A. Gilabert, J. Roux, and A. Castellanos, Computer simulation of model cohesive powders: Influence of assembling procedure and contact laws on low consolidation states, Physical Review E, vol.75, issue.1, p.11303, 2007.
DOI : 10.1103/PhysRevE.75.011303

URL : https://hal.archives-ouvertes.fr/hal-00148591

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, 1993.

M. Jean, Unilateral contact and dry friction: time and space variables discretization, Arch. of Mech, vol.40, issue.1, pp.677-691, 1988.

M. Jean, Frictional contact in rigid or deformable bodies: numerical simulation of geomaterials, pp.463-486, 1995.

M. Jean, The non-smooth contact dynamics method, Special issue on modeling contact and friction, 1999.
DOI : 10.1016/S0045-7825(98)00383-1

URL : https://hal.archives-ouvertes.fr/hal-01390459

M. Jean, Micromécanique des matériaux granulaires, chapter Simulation numérique discr`tediscr`discr`te, pp.199-324, 2001.

M. Jean and J. J. Moreau, Unilaterality and dry friction in the dynamics of rigid body collections, Proceedings of Contact Mechanics International Symposium, pp.31-48, 1992.

M. Jean and E. Pratt, A system of rigid bodies with dry friction, International Journal of Engineering Science, vol.23, issue.5, pp.497-513, 1985.
DOI : 10.1016/0020-7225(85)90060-6

URL : https://hal.archives-ouvertes.fr/hal-00836396

M. Jean, F. Jourdan, and B. Tathi, Numerical dynamics for the simulation of deep drawing, Proc. of IDDRG 1994, Handbooks on Theory and Engineering Applications of Computational Methods, 1994.

N. P. Kruyt, Contact forces in anisotropic frictional granular materials, International Journal of Solids and Structures, vol.40, issue.13-14, pp.13-143537, 2003.
DOI : 10.1016/S0020-7683(03)00148-3

P. Kruyt and S. J. Antony, Force, relative-displacement, and work networks in granular materials subjected to quasistatic deformation, Physical Review E, vol.75, issue.5, pp.51308-51316, 2007.
DOI : 10.1103/PhysRevE.75.051308

G. Kuwabara and K. Kono, Restitution Coefficient in a Collision between Two Spheres, Japanese Journal of Applied Physics, vol.26, issue.Part 1, No. 8, pp.1230-1233, 1987.
DOI : 10.1143/JJAP.26.1230

L. Labous, A. D. Rosato, and R. Dave, Measurements of collision properties of spheres using high-speed video analysis, Phys. Rev. E, vol.56, p.5715, 1997.

J. Lanier and M. Jean, Experiments and numerical simulations with 2D disks assembly, Powder Technology, vol.109, issue.1-3, pp.206-221, 2000.
DOI : 10.1016/S0032-5910(99)00237-5

. Luding, Collisions & Contacts between Two Particles, Physics of dry granular media -NATO ASI Series E350, p.285, 1998.
DOI : 10.1007/978-94-017-2653-5_20

E. Luding, A. Clément, J. Blumen, J. Rajchenbach, and . Duran, Anomalous energy dissipation in molecular-dynamics simulations of grains: The ??????detachment?????? effect, Physical Review E, vol.50, issue.5, p.4113, 1994.
DOI : 10.1103/PhysRevE.50.4113

S. Luding, E. Clément, A. Blumen, J. Rajchenbach, and J. Duran, Studies of columns of beads under external vibrations, Physical Review E, vol.49, issue.2, p.1634, 1994.
DOI : 10.1103/PhysRevE.49.1634

C. K. Lun and S. B. Savage, The effects of an impact velocity dependent coefficient of restitution on stresses developed by sheared granular materials, Acta Mechanica, vol.33, issue.5, pp.15-44, 1986.
DOI : 10.1007/BF01182538

G. Lvoll, K. J. Mly, and E. G. Flekky, Force measurements on static granular materials, Physical Review E, vol.60, issue.5, pp.5872-5878, 1999.
DOI : 10.1103/PhysRevE.60.5872

T. S. Majmudar and R. P. Behringer, Contact force measurements and stress-induced anisotropy in granular materials, Nature, vol.20, issue.1079, pp.1079-1082, 2005.
DOI : 10.1103/PhysRevLett.92.054302

H. Matuttis, S. Luding, and H. J. Herrmann, Discrete element methods for the simulation of dense packings and heaps made of spherical and nonspherical particles, Powder Technology, 1999.

S. Mcnamara and W. R. Young, Inelastic collapse and clumping in a one???dimensional granular medium, Physics of Fluids A: Fluid Dynamics, vol.4, issue.3, p.496, 1992.
DOI : 10.1063/1.858323

S. Mcnamara and H. Herrmann, Measurement of indeterminacy in packings of perfectly rigid disks, Physical Review E, vol.70, issue.6, p.61303, 2004.
DOI : 10.1103/PhysRevE.70.061303

S. Mcnamara, R. Garca-rojo, and H. Herrmann, Indeterminacy and the onset of motion in a simple granular packing, Physical Review E, vol.72, issue.2, p.21304, 2005.
DOI : 10.1103/PhysRevE.72.021304

C. Sean, . Mcnamara, J. Hans, and . Herrmann, Quasirigidity: some uniqueness issues, Phys. Rev. E, vol.74, issue.6, p.61303, 2006.

T. Philip and . Metzger, Granular contact force density of states and entropy in a modified edwards ensemble, Phys Rev E Stat Nonlin Soft Matter Phys, vol.70, issue.5, p.51303, 2004.

J. J. Moreau, Evolution problem associated with a moving convex set in a Hilbert space, Journal of Differential Equations, vol.26, issue.3, pp.347-374, 1977.
DOI : 10.1016/0022-0396(77)90085-7

J. J. Moreau, Liasons unilatérales sans frottement et chocs inélastiques, Comptes Rendus de l'Académie des Sciences, pp.1473-1476, 1983.

J. J. Moreau, Bounded variation in time, Topics in Nonsmooth Mechanics, pp.1-74, 1988.
URL : https://hal.archives-ouvertes.fr/hal-01363799

J. J. Moreau, New computation methods in granular dynamics, Powders & Grains 93, p.227

J. J. Moreau, Numerical investigation of shear zones in granular materials, Friction, Arching, Contact Dynamics, pp.233-247, 1997.

J. J. Moreau, Unilateral contact and dry friction in finite freedom dynamics, volume 302 of International Centre for Mechanical Sciences, Courses and Lectures, 1988.

J. J. Moreau, Some numerical methods in multibody dynamics: Application to granular materials, European Journal of Mechanics A/Solids, supp, issue.4, pp.93-114, 1994.

J. J. Moreau, An introduction to Unilateral Dynamics, Novel approaches in civil engineering, number 14 in Lecture Notes in Applied and Computational Mechanics, pp.1-46, 2004.
DOI : 10.1007/978-3-540-45287-4_1

D. M. Mueth, H. M. Jaeger, and S. R. Nagel, Force distribution in a granular medium, Physical Review E, vol.57, issue.3, p.3164, 1998.
DOI : 10.1103/PhysRevE.57.3164

S. Nineb, P. Alart, and D. Dureisseix, Approche multi-´ echelle des systèmes de tenségrité. Revue Européenne de Mécanique Numérique, pp.319-328, 2006.

C. Nouguier-lehon, B. Cambou, and E. Vincens, Influence of particle shape and angularity on the behaviour of granular materials: a numerical analysis, International Journal for Numerical and Analytical Methods in Geomechanics, vol.2, issue.14, pp.1207-1226, 2003.
DOI : 10.1002/nag.314

P. Olsson and S. Teitel, Critical Scaling of Shear Viscosity at the Jamming Transition, Physical Review Letters, vol.99, issue.17, p.178001, 2007.
DOI : 10.1103/PhysRevLett.99.178001

T. Pöschel and V. Buchholtz, Molecular Dynamics of Arbitrarily Shaped Granular Particles, Journal de Physique I, vol.5, issue.11, pp.1431-1455, 1995.
DOI : 10.1051/jp1:1995208

O. Pouliquen, Velocity Correlations in Dense Granular Flows, Physical Review Letters, vol.93, issue.24, pp.248001-248005, 2004.
DOI : 10.1103/PhysRevLett.93.248001

URL : https://hal.archives-ouvertes.fr/hal-00004341

A. Puglisi, A. Baldassarri, and V. Loreto, Fluctuation-dissipation relations in driven granular gases, Physical Review E, vol.66, issue.6, p.61305, 2002.
DOI : 10.1103/PhysRevE.66.061305

. Radjai, . Evesque, and R. Bideau, Stick-slip dynamics of a one-dimensional array of particles, Physical Review E, vol.52, issue.5, pp.5555-5564, 1995.
DOI : 10.1103/PhysRevE.52.5555

F. Radjai and S. Roux, Contact Dynamics Study of 2D Granular Media: Critical States and Relevant Internal Variables, The Physics of Granular Media, pp.165-186, 2004.
DOI : 10.1002/352760362X.ch7

F. Radjai, L. Brendel, and S. Roux, Nonsmoothness, indeterminacy, and friction in two-dimensional arrays of rigid particles, Physical Review E, vol.54, issue.1, p.861, 1996.
DOI : 10.1103/PhysRevE.54.861

URL : https://hal.archives-ouvertes.fr/hal-00759667

F. Radjai, J. Schäfer, S. Dippel, and D. Wolf, Collective Friction of an Array of Particles: A Crucial Test for Numerical Algorithms, Journal de Physique I, vol.7, issue.9, p.1053, 1997.
DOI : 10.1051/jp1:1997109

URL : https://hal.archives-ouvertes.fr/hal-00759666

F. Radjai, D. E. Wolf, S. Roux, M. Jean, and J. J. Moreau, Force networks in dense granular media, Powders & Grains 97, pp.211-214, 1997.

D. E. Radjai, M. Wolf, J. J. Jean, and . Moreau, Bimodal Character of Stress Transmission in Granular Packings, Physical Review Letters, vol.80, issue.1, pp.61-64, 1998.
DOI : 10.1103/PhysRevLett.80.61

URL : https://hal.archives-ouvertes.fr/hal-01407369

F. Radjai and S. Roux, Turbulentlike Fluctuations in Quasistatic Flow of Granular Media, Physical Review Letters, vol.89, issue.6, p.64302, 2002.
DOI : 10.1103/PhysRevLett.89.064302

URL : https://hal.archives-ouvertes.fr/hal-00122057

F. Radjai, M. Jean, J. Moreau, and S. Roux, Force Distributions in Dense Two-Dimensional Granular Systems, Physical Review Letters, vol.77, issue.2, p.274, 1996.
DOI : 10.1103/PhysRevLett.77.274

URL : https://hal.archives-ouvertes.fr/hal-00759668

F. Radjai, S. Roux, and J. J. Moreau, Contact forces in a granular packing, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol.9, issue.3, pp.544-550, 1999.
DOI : 10.1063/1.166428

URL : https://hal.archives-ouvertes.fr/hal-01407368

F. Mathieu-renouf, P. Dubois, and . Alart, A parallel version of the non smooth contact dynamics algorithm applied to the simulation of granular media, Journal of Computational and Applied Mathematics, vol.168, issue.1-2, pp.375-382, 2004.
DOI : 10.1016/j.cam.2003.05.019

V. Richefeu, F. Radjai, and M. S. Youssoufi, Stress transmission in wet granular materials, The European Physical Journal E, vol.54, issue.4, 2007.
DOI : 10.1140/epje/i2006-10077-1

URL : https://hal.archives-ouvertes.fr/hal-00123719

V. Richefeu, M. Sa¨?dsa¨?d-el-youssoufi, and F. Radjai, Shear strength properties of wet granular materials, Physical Review E, vol.73, issue.5, p.51304, 2006.
DOI : 10.1103/PhysRevE.73.051304

URL : https://hal.archives-ouvertes.fr/hal-00022654

A. Ries, E. Dietrich, T. Wolf, and . Unger, Shear zones in granular media: Three-dimensional contact dynamics simulation, Physical Review E, vol.76, issue.5, p.51301, 2007.
DOI : 10.1103/PhysRevE.76.051301

G. Saussine, C. Cholet, P. E. Gautier, F. Dubois, C. Bohatier et al., Modelling ballast behaviour under dynamic loading. Part 1: A 2D polygonal discrete element method approach, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.19-22, pp.19-222841, 2006.
DOI : 10.1016/j.cma.2005.07.006

URL : https://hal.archives-ouvertes.fr/hal-00580793

E. Leonardo, . Silbert, S. Gary, J. W. Grest, and . Landry, Statistics of the contact network in frictional and frictionless granular packings, Phys Rev E Stat Nonlin Soft Matter Phys, vol.66, issue.6, p.61303, 2002.

C. E. Smith and P. Liu, Coefficients of Restitution, Journal of Applied Mechanics, vol.59, issue.4, p.963, 1992.
DOI : 10.1115/1.2894067

L. Staron, J. Vilotte, and F. Radjai, Preavalanche Instabilities in a Granular Pile, Physical Review Letters, vol.89, issue.20, p.204302, 2002.
DOI : 10.1103/PhysRevLett.89.204302

URL : https://hal.archives-ouvertes.fr/hal-00120707

A. Taboada, K. J. Chang, F. Radjai, and F. Bouchette, Rheology, force transmission, and shear instabilities in frictional granular media from biaxial numerical tests using the contact dynamics method, Journal of Geophysical Research: Solid Earth, vol.2, issue.4, pp.1-24, 2005.
DOI : 10.1029/2001JB000516

. Thornton, Computer simulation of impact fracture/fragmentation In The first Nisshin Engineering Particle Technology International Seminar: Discrete Particle Simulations in Powder Technology, p.17, 1993.

. Thornton, Coefficient of Restitution for Collinear Collisions of Elastic-Perfectly Plastic Spheres, Journal of Applied Mechanics, vol.64, issue.2, pp.383-386, 1997.
DOI : 10.1115/1.2787319

C. Thornton and K. K. Yin, Impact of elastic spheres with and without adhesion, Powder Technology, vol.65, issue.1-3, p.153, 1991.
DOI : 10.1016/0032-5910(91)80178-L

T. Unger, L. Brendel, D. E. Wolf, and J. Kertsz, Elastic behavior in contact dynamics of rigid particles, Physical Review E, vol.65, issue.6, p.61305, 2002.
DOI : 10.1103/PhysRevE.65.061305