P. Acker, Statistical Models for Fracture in Disordered Media (North-Holland, Chap. 3.2, pp.52-58, 1990.

F. De-larrard and T. Sedran, Mixture-proportioning of high-performance concrete, Cement and Concrete Research, vol.32, issue.11, p.1699, 2002.
DOI : 10.1016/S0008-8846(02)00861-X

T. Aste and D. Weaire, The Pursuit of Perfect Packing (Institute of Physics Publishing, 2000.

H. J. Herrmann, R. M. Baram, and M. Wackenhut, Searching for the perfect packing, Physica A: Statistical Mechanics and its Applications, vol.330, issue.1-2, p.77, 2003.
DOI : 10.1016/j.physa.2003.08.023

Z. Li and Z. Zhang, Fragility of photonic band gaps in inverse-opal photonic crystals, Physical Review B, vol.62, issue.3, p.1516, 2000.
DOI : 10.1103/PhysRevB.62.1516

N. B. Wilding, P. Sollich, and M. Buzzacchi, Polydisperse lattice-gas model, Physical Review E, vol.77, issue.1, p.11501, 2008.
DOI : 10.1103/PhysRevE.77.011501

M. Allar and E. H. Sargent, Impact of polydispersity on light propagation in colloidal photonic crystals, Applied Physics Letters, vol.85, issue.24, p.5887, 2004.
DOI : 10.1063/1.1835533

P. Sollich and N. B. Wilding, Crystalline Phases of Polydisperse Spheres, Physical Review Letters, vol.104, issue.11, p.118302, 2010.
DOI : 10.1103/PhysRevLett.104.118302

E. Masoero, E. D. Gado, R. J. Pellenq, F. Ulm, and S. Yip, Nanostructure and Nanomechanics of Cement: Polydisperse Colloidal Packing, Physical Review Letters, vol.109, issue.15, p.155503, 2012.
DOI : 10.1103/PhysRevLett.109.155503
URL : https://hal.archives-ouvertes.fr/hal-00773481

S. Torquato and Y. Jiao, Dense packings of polyhedra: Platonic and Archimedean solids, Physical Review E, vol.80, issue.4, p.41104, 2009.
DOI : 10.1103/PhysRevE.80.041104

K. C. Smith, T. Alam, and . Fisher, Athermal jamming of soft frictionless Platonic solids, Physical Review E, vol.82, issue.5, p.51304, 2010.
DOI : 10.1103/PhysRevE.82.051304

E. Azéma, N. Estrada, and F. Radja¨?radja¨?, Nonlinear effects of particle shape angularity in sheared granular media, Physical Review E, vol.86, issue.4, p.41301, 2012.
DOI : 10.1103/PhysRevE.86.041301

E. Azéma, F. Radja¨?radja¨?, and F. Dubois, Packings of irregular polyhedral particles: Strength, structure, and effects of angularity, Physical Review E, vol.87, issue.6, p.62203, 2013.
DOI : 10.1103/PhysRevE.87.062203

A. Donev, I. Cisse, D. Sachs, E. Variano, F. Stillinger et al., Improving the Density of Jammed Disordered Packings Using Ellipsoids, Science, vol.303, issue.5660, p.990, 2004.
DOI : 10.1126/science.1093010

A. Donev, R. Connelly, F. H. Stillinger, and S. Torquato, Underconstrained jammed packings of nonspherical hard particles: Ellipses and ellipsoids, Physical Review E, vol.75, issue.5, p.51304, 2007.
DOI : 10.1103/PhysRevE.75.051304

A. Donev, F. H. Stillinger, P. M. Chaikin, and S. Torquato, Unusually Dense Crystal Packings of Ellipsoids, Physical Review Letters, vol.92, issue.25, p.255506, 2004.
DOI : 10.1103/PhysRevLett.92.255506

E. Azéma and F. Radja¨?radja¨?, Force chains and contact network topology in sheared packings of elongated particles, Physical Review E, vol.85, issue.3, p.31303, 2012.
DOI : 10.1103/PhysRevE.85.031303

E. Azéma and F. Radja¨?radja¨?, Stress-strain behavior and geometrical properties of packings of elongated particles, Physical Review E, vol.81, issue.5, p.51304, 2010.
DOI : 10.1103/PhysRevE.81.051304

C. R. Abreu, F. W. Tavares, and M. Castier, Influence of particle shape on the packing and on the segregation of spherocylinders via Monte Carlo simulations, Powder Technology, vol.134, issue.1-2, p.167, 2003.
DOI : 10.1016/S0032-5910(03)00151-7

A. Kyrylyuk and A. Philipse, Effect of particle shape on the random packing density of amorphous solids, physica status solidi (a), vol.137, issue.10, p.2299, 2011.
DOI : 10.1002/pssa.201000361

S. Sacanna, L. Rossi, A. Wouterse, and A. Philipse, Observation of a shape-dependent density maximum in random packings and glasses of colloidal silica ellipsoids, Journal of Physics: Condensed Matter, vol.19, issue.37, p.376108, 2007.
DOI : 10.1088/0953-8984/19/37/376108

S. R. Williams and A. P. Philipse, Random packings of spheres and spherocylinders simulated by mechanical contraction, Physical Review E, vol.67, issue.5, p.51301, 2003.
DOI : 10.1103/PhysRevE.67.051301

A. Wouterse, S. R. Williams, and A. P. Philipse, Effect of particle shape on the density and microstructure of random packings, Journal of Physics: Condensed Matter, vol.19, issue.40, p.406215, 2007.
DOI : 10.1088/0953-8984/19/40/406215

M. Boton, E. Azéma, N. Estrada, F. Radja¨?radja¨?, and A. Lizcano, Quasistatic rheology and microstructural description of sheared granular materials composed of platy particles, Physical Review E, vol.87, issue.3, p.32206, 2013.
DOI : 10.1103/PhysRevE.87.032206
URL : https://hal.archives-ouvertes.fr/hal-00759623

J. Zhao, S. Li, P. Lu, L. Meng, T. Li et al., Shape influences on the packing density of frustums, Powder Technology, vol.214, issue.3, p.500, 2011.
DOI : 10.1016/j.powtec.2011.09.013

G. T. Nolan and P. E. Kavanagh, Random packing of nonspherical particles, Powder Technology, vol.84, issue.3, p.199, 1995.
DOI : 10.1016/0032-5910(95)98237-S

B. Saint-cyr, J. Delenne, C. Voivret, F. Radja¨?radja¨?, and P. Sornay, Rheology of granular materials composed of nonconvex particles, Physical Review E, vol.84, issue.4, p.41302, 2011.
DOI : 10.1103/PhysRevE.84.041302
URL : https://hal.archives-ouvertes.fr/hal-00759629

E. Azéma, F. Radja¨?radja¨?, B. Saint-cyr, J. Delenne, and P. Sornay, Rheology of three-dimensional packings of aggregates: Microstructure and effects of nonconvexity, Physical Review E, vol.87, issue.5, p.52205, 2013.
DOI : 10.1103/PhysRevE.87.052205

Y. Jiao, F. H. Stillinger, and S. Torquato, Distinctive features arising in maximally random jammed packings of superballs, Physical Review E, vol.81, issue.4, p.41304, 2010.
DOI : 10.1103/PhysRevE.81.041304

M. Mailman, C. F. Schreck, C. S. O-'hern, and B. Chakraborty, Jamming in Systems Composed of Frictionless Ellipse-Shaped Particles, Physical Review Letters, vol.102, issue.25, p.255501, 2009.
DOI : 10.1103/PhysRevLett.102.255501

B. Cegeo, K. Saint-cyr, C. Szarf, E. Voivret, V. Azéma et al., Particle shape dependence in 2D granular media, EPL (Europhysics Letters), vol.98, issue.4, p.44008, 2012.
DOI : 10.1209/0295-5075/98/44008

T. Aste, Circle, sphere, and drop packings, Physical Review E, vol.53, issue.3, p.2571, 1996.
DOI : 10.1103/PhysRevE.53.2571

A. Bezrukov, M. Bargie?, and D. Stoyan, Statistical Analysis of Simulated Random Packings of Spheres, Particle & Particle Systems Characterization, vol.19, issue.2, p.111, 2002.
DOI : 10.1002/1521-4117(200205)19:2<111::AID-PPSC111>3.0.CO;2-M

A. Kansal, S. Torquato, and F. Stillinger, Computer generation of dense polydisperse sphere packings, The Journal of Chemical Physics, vol.117, issue.18, p.8212, 2002.
DOI : 10.1063/1.1511510

T. Vu, G. Ovarlez, and X. Chateau, Macroscopic behavior of bidisperse suspensions of noncolloidal particles in yield stress fluids, Journal of Rheology, vol.54, issue.4, p.815, 2010.
DOI : 10.1122/1.3439731
URL : https://hal.archives-ouvertes.fr/hal-00493853

R. Al-raoush and M. Alsaleh, Simulation of random packing of polydisperse particles, Powder Technology, vol.176, issue.1, p.47, 2007.
DOI : 10.1016/j.powtec.2007.02.007

E. Santiso and E. A. Müller, Dense packing of binary and polydisperse hard spheres, Molecular Physics, vol.350, issue.15, p.2461, 2002.
DOI : 10.1038/239504a0

R. S. Farr and R. D. Groot, Close packing density of polydisperse hard spheres, The Journal of Chemical Physics, vol.131, issue.24, p.244104, 2009.
DOI : 10.1063/1.3276799

M. Hermes and M. Dijkstra, Jamming of polydisperse hard spheres: The effect of kinetic arrest, EPL (Europhysics Letters), vol.89, issue.3, p.38005, 2010.
DOI : 10.1209/0295-5075/89/38005

J. Dodds, The porosity and contact points in multicomponent random sphere packings calculated by a simple statistical geometric model, Journal of Colloid and Interface Science, vol.77, issue.2, p.317, 1980.
DOI : 10.1016/0021-9797(80)90302-1

A. Clarke and J. Wiley, Numerical simulation of the dense random packing of a binary mixture of hard spheres: Amorphous metals, Physical Review B, vol.35, issue.14, p.7350, 1987.
DOI : 10.1103/PhysRevB.35.7350

H. J. Brouwers, Packing of crystalline structures of binary hard spheres: An analytical approach and application to amorphization, Physical Review E, vol.76, issue.4, p.41304, 2007.
DOI : 10.1103/PhysRevE.76.041304

H. J. Brouwers, Random packing fraction of bimodal spheres: An analytical expression, Physical Review E, vol.87, issue.3, p.32202, 2013.
DOI : 10.1103/PhysRevE.87.032202

F. Radja¨?radja¨? and S. Roux, The Physics of Granular Media, 2005.

F. Radja¨?radja¨?, J. Delenne, E. Azéma, and S. Roux, Fabric evolution and accessible geometrical states in granular materials, Granular Matter, vol.39, issue.6, p.259, 2012.
DOI : 10.1007/s10035-012-0321-8

F. Radja¨?radja¨? and E. Azéma, Shear strength of granular materials, European Journal of Environmental and Civil Engineering, vol.13, issue.2, p.203, 2009.
DOI : 10.1680/geot.1990.40.2.223

C. Voivret, F. Radja¨?radja¨?, J. Delenne, and M. S. Youssoufi, Space-filling properties of polydisperse granular media, Physical Review E, vol.76, issue.2, p.21301, 2007.
DOI : 10.1103/PhysRevE.76.021301
URL : https://hal.archives-ouvertes.fr/hal-00759644

C. Voivret, F. Radja¨?radja¨?, J. Delenne, and M. S. Youssoufi, Multiscale Force Networks in Highly Polydisperse Granular Media, Physical Review Letters, vol.102, issue.17, p.178001, 2009.
DOI : 10.1103/PhysRevLett.102.178001
URL : https://hal.archives-ouvertes.fr/hal-00689872

M. Jean and C. , [54] F. Radja¨?Radja¨? and V. Richefeu, 55] Discrete Numerical Modeling of Granular Materials, p.715, 1999.

F. Radja¨?radja¨?, 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

L. Staron, J. Vilotte, and F. Radja¨?radja¨?, 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

M. Renouf and P. Alart, Conjugate gradient type algorithms for frictional multi-contact problems: applications to granular materials, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.18-20, p.2019, 2005.
DOI : 10.1016/j.cma.2004.07.009
URL : https://hal.archives-ouvertes.fr/hal-01393138

E. Azéma, F. Radja¨?radja¨?, R. Peyroux, F. Dubois, and G. Saussine, Vibrational dynamics of confined granular materials, Physical Review E, vol.74, issue.3, p.31302, 2006.
DOI : 10.1103/PhysRevE.74.031302

N. Estrada, A. Taboada, and F. Radja¨?radja¨?, Shear strength and force transmission in granular media with rolling resistance, Physical Review E, vol.78, issue.2, p.21301, 2008.
DOI : 10.1103/PhysRevE.78.021301
URL : https://hal.archives-ouvertes.fr/hal-00412020

N. Estrada, E. Azéma, F. Radja¨?radja¨?, and A. Taboada, Identification of rolling resistance as a shape parameter in sheared granular media, Physical Review E, vol.84, issue.1, p.11306, 2011.
DOI : 10.1103/PhysRevE.84.011306
URL : https://hal.archives-ouvertes.fr/hal-00594891

V. Visseq, A. Martin, D. Iceta, E. Azema, D. Dureisseix et al., Dense granular dynamics analysis by a domain decomposition approach, Computational Mechanics, vol.102, issue.19???22, p.709, 2012.
DOI : 10.1007/s00466-012-0699-5
URL : https://hal.archives-ouvertes.fr/hal-00689838

G. Saussine, C. Cholet, P. 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, p.2841, 2006.
DOI : 10.1016/j.cma.2005.07.006
URL : https://hal.archives-ouvertes.fr/hal-00580793

H. Troadec, F. Radja¨?radja¨?, S. Roux, and J. Charmet, Model for granular texture with steric exclusion, Physical Review E, vol.66, issue.4, p.41305, 2002.
DOI : 10.1103/PhysRevE.66.041305
URL : https://hal.archives-ouvertes.fr/hal-00077973

J. Baker and A. Kudrolli, Maximum and minimum stable random packings of Platonic solids, Physical Review E, vol.82, issue.6, p.61304, 2010.
DOI : 10.1103/PhysRevE.82.061304