]. J. Åström and H. J. Herrmann, Fragmentation of grains in a two-dimensional packing, Table C.3 ? Valeur des paramètres adoptées pour les poudres utilisée dans les simulations éléments finis 2D Bibliographie, pp.551-554, 1998.
DOI : 10.1007/s100510050476

]. 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, p.61302, 2007.
DOI : 10.1103/PhysRevE.76.061302
URL : https://hal.archives-ouvertes.fr/hal-00148554

]. I. Agnolin and J. Roux, Internal states of model isotropic granular packings. II. Compression and pressure cycles, Physical Review E, vol.76, issue.6, p.61303, 2007.
DOI : 10.1103/PhysRevE.76.061303
URL : https://hal.archives-ouvertes.fr/hal-00148554

]. I. Agnolin and J. Roux, Internal states of model isotropic granular packings. III. Elastic properties, Physical Review E, vol.76, issue.6, p.61304, 2007.
DOI : 10.1103/PhysRevE.76.061304
URL : https://hal.archives-ouvertes.fr/hal-00148554

]. E. Arzt, The influence of an increasing particle coordination on the densification of spherical powders, Acta Metallurgica, vol.30, issue.10, pp.1883-1890, 1982.
DOI : 10.1016/0001-6160(82)90028-1

]. L. Austin-1972a, V. K. Austin, and . Bhatia, Experimental methods for grinding studies in laboratory mills, Powder Technology, vol.5, issue.5, pp.261-266, 1972.
DOI : 10.1016/0032-5910(72)80029-9

]. L. Austin-1972b, P. T. Austin, and . Luckie, Methods for determination of breakage distribution parameters, Powder Technology, vol.5, issue.4, pp.215-237, 1972.
DOI : 10.1016/0032-5910(72)80022-6

]. I. Aydin, B. J. Briscoe, and K. Y. Sanliturk, The internal form of compacted ceramic components: a comparison of a finite element modelling with experiment, Powder Technology, vol.89, issue.3, pp.239-254, 1996.
DOI : 10.1016/S0032-5910(96)03188-9

]. N. Aydogan, L. Ergün, and H. Benzer, High pressure grinding rolls (HPGR) applications in the cement industry, Minerals Engineering, vol.19, issue.2, 2006.
DOI : 10.1016/j.mineng.2005.08.011

]. E. Azéma, F. Radjaï, and G. Saussine, Quasistatic rheology, force transmission and fabric properties of a packing of irregular polyhedral particles, Mechanics of Materials, vol.41, issue.6, pp.729-741, 2009.
DOI : 10.1016/j.mechmat.2009.01.021

]. A. Aziz and K. Schönert, Einzelkomzerkleinerung und Gutbettbeanspruchung von Zementklinkerfraktionen. Zement-Kalk-Gips, pp.213-218, 1980.

]. J. Bibliographie and A. Baxter, Abu-Nahar et Tüzün U. The breakage matrix approach to inadvertant particle degradation : dealing with intra-mixture interactions, Powder Technology, pp.143-144, 2004.

]. H. Benzer, Mathematical modeling of clinker grinding process, 2000.

]. E. Bilgili, J. Yepes, and B. Scarlett, Formulation of a non-linear framework for population balance modeling of batch grinding: Beyond first-order kinetics, Chemical Engineering Science, vol.61, issue.1, pp.33-44, 2006.
DOI : 10.1016/j.ces.2004.11.060

]. E. Bilgili and M. Capece, A rigorous breakage matrix methodology for characterization of multi-particle interactions in dense-phase particle breakage, Chemical Engineering Research and Design, vol.90, issue.9, pp.1177-1188, 2012.
DOI : 10.1016/j.cherd.2012.01.005

]. J. Bishop and R. Hil, XLVI. A theory of the plastic distortion of a polycrystalline aggregate under combined stresses., The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, vol.72, issue.327, pp.414-427, 1951.
DOI : 10.1098/rspa.1923.0023

]. D. Blair, N. W. Mueggenburg, A. H. Marshall, H. M. Jaeger, and S. R. Nagel, Force distributions in three-dimensional granular assemblies: Effects of packing order and interparticle friction, Physical Review E, vol.63, issue.4, p.41304, 2001.
DOI : 10.1103/PhysRevE.63.041304

]. F. Bond, Crushing and grinding calculations, part I-II, British Chemical Engineering, vol.6, pp.378-385543, 1961.

]. D. Bouvard, Modelling the densification of powder composites by power law creep, Acta Metallurgica et Materialia, vol.41, issue.5, pp.1413-1420, 1993.
DOI : 10.1016/0956-7151(93)90250-V

]. X. Brajer, P. Forquin, R. Gy, and F. Hild, The role of surface and volume defects in the fracture of glass under quasi-static and dynamic loadings, Journal of Non-Crystalline Solids, vol.316, issue.1, pp.42-53, 2003.
DOI : 10.1016/S0022-3093(02)01936-1
URL : https://hal.archives-ouvertes.fr/hal-00322503

]. J. Brüchmuller, B. G. Van-wachem, S. Gu, and K. H. Luo, Modelling discrete fragmentation of brittle particles, Powder Technology, vol.208, issue.3, pp.731-739, 2011.
DOI : 10.1016/j.powtec.2011.01.017

]. S. Broadbent and T. G. Calcott, A Matrix Analysis of Processes Involving Particle Assemblies, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.249, issue.960, pp.99-123, 1956.
DOI : 10.1098/rsta.1956.0016

]. R. Brzesowsky, Micromechanics of sand grain failure and sand compaction, 1994.

]. B. Budiansky, On the elastic moduli of some heterogeneous materials, Journal of the Mechanics and Physics of Solids, vol.13, issue.4, pp.223-227, 1965.
DOI : 10.1016/0022-5096(65)90011-6

]. P. Carman, Fluid flow through granular beds, Chemical Engineering Research and Design, vol.75, pp.150-166, 1937.
DOI : 10.1016/S0263-8762(97)80003-2

]. I. Celik and M. Oner, The influence of grinding mechanism on the liberation characteristics of clinker minerals, Cement and Concrete Research, vol.36, issue.3, pp.422-427, 2006.
DOI : 10.1016/j.cemconres.2005.09.011

]. I. Celik, M. Oner, and N. M. Can, The influence of grinding technique on the liberation of clinker minerals and cement properties, Cement and Concrete Research, vol.37, issue.9, pp.1334-1340, 2007.
DOI : 10.1016/j.cemconres.2007.06.004

]. E. Charalampidou, S. A. Hall, S. Stanchits, H. Lewis, and G. Viggiani, Characterization of shear and compaction bands in a porous sandstone deformed under triaxial compression, Tectonophysics, vol.503, issue.1-2, pp.8-17, 2011.
DOI : 10.1016/j.tecto.2010.09.032

]. R. Christensen, Yield Functions, Damage States, and Intrinsic Strength, Mathematics and Mechanics of Solids, vol.5, issue.3, pp.285-300, 2001.
DOI : 10.1177/108128650000500302

W. Paul and . Cleary, Recent advances in dem modelling of tumbling mills, Minerals Engineering, vol.14, issue.10, pp.1295-1319, 2001.

W. Paul, R. D. Cleary, and . Morrison, Understanding fine ore breakage in a laboratory scale ball mill using DEM, Minerals Engineering, vol.24, pp.3-4, 2011.

]. K. Coffey and P. A. Gremaud, Numerical simulation of aerated powder consolidation, International Journal of Non-Linear Mechanics, vol.38, issue.8, pp.1185-1194, 2003.
DOI : 10.1016/S0020-7462(02)00063-X

Z. Ning, C. Couroyer, and M. Et-ghadiri, Distinct element analysis of bulk crushing : effect of particle properties and loading rate, Powder Technology, vol.109, pp.241-254, 2000.

]. L. Cui, C. O-'sullivan, and S. O. Neill, An analysis of the triaxial apparatus using a mixed boundary three-dimensional discrete element model, G??otechnique, vol.57, issue.10, pp.831-844, 2007.
DOI : 10.1680/geot.2007.57.10.831

]. P. 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

]. J. Cunningham, Experimental studies and modeling of the roller compaction of pharmaceutical powders, 2005.

]. J. Cunningham, D. Windstead, and A. Zavaliangos, Understanding variation in roller compaction through finite element-based process modeling, Computers & Chemical Engineering, vol.34, issue.7, pp.1058-1071, 2010.
DOI : 10.1016/j.compchemeng.2010.04.008

]. A. Das, G. D. Nguyen, and I. Einav, Compaction bands due to grain crushing in porous rocks: A theoretical approach based on breakage mechanics, Journal of Geophysical Research, vol.37, issue.13, 2011.
DOI : 10.1029/2011JB008265

]. V. De-souza, J. C. Koppe, J. F. Costa, A. L. Vargas, E. Blando et al., The influence of mineralogical, chemical and physical properties on grindability of commercial clinkers with high MgO level, Cement and Concrete Research, vol.38, issue.8-9, pp.8-9, 2008.
DOI : 10.1016/j.cemconres.2008.02.011

]. R. Dec, A. Zavaliangos, and J. C. Cunningham, Comparison of various modeling methods for analysis of powder compaction in roller press, Powder Technology, vol.130, issue.1-3, pp.265-271, 2003.
DOI : 10.1016/S0032-5910(02)00203-6

]. F. Di-maggio, I. S. Di-maggio, and . Sandler, Material model for granular soils, Journal of the Engineering Mechanics Division, vol.97, issue.3, pp.935-950, 1971.

]. L. Dormieux, J. Sanahuja, and Y. Maalej, Résistance d'un polycristal avec interfaces granulaires imparfaites, Compte Rendus Mécaniques, vol.2007, pp.25-31, 2007.

]. L. Dormieux, L. Jeannin, E. Bemer, T. H. Le, and J. Sanahuja, Micromechanical models of the strength of a sandstone, International Journal for Numerical and Analytical Methods in Geomechanics, vol.330, issue.4, pp.249-271, 2010.
DOI : 10.1002/nag.804

]. F. Dronsart, Compréhension et évaluation du comportement des matériaux granulaires lors du broyage par compression, application au cas du broyage par multicompression, 1997.

]. D. Drucker and W. Prager, Soil mechanics and plastic analysis or limit design, Quarterly of Applied Mathematics, vol.10, issue.2, pp.157-165, 1952.
DOI : 10.1090/qam/48291

]. F. Dullien, Porous media fluid transport and pore structure, 1992.

]. I. Einav, Breakage mechanics???Part I: Theory, Journal of the Mechanics and Physics of Solids, vol.55, issue.6, pp.1274-1297, 2007.
DOI : 10.1016/j.jmps.2006.11.003

]. J. Eshelby, The determination of the elastic field of an pllipsoidal inclusion , and related problems, Proceedings of the Royal Society -A, vol.20, pp.376-396, 1957.

]. P. Evans, Maximum powder rolling speed : theorical and experimental, H. Hausner, editeur, Modern developments in powder matallurgy, 1970.

]. N. Fleck, On the cold compaction of powders, Journal of the Mechanics and Physics of Solids, vol.43, issue.9, pp.1409-1431, 1995.
DOI : 10.1016/0022-5096(95)00039-L

]. S. Fok, B. C. Mitchell, J. Smart, and B. J. Marsden, A numerical study on the application of the Weibull theory to brittle materials, Engineering Fracture Mechanics, vol.68, issue.10, pp.1171-1179, 2001.
DOI : 10.1016/S0013-7944(01)00022-4

]. T. Forgeron, Application de la mécanique de la rupture à l'étude de l'énergie de fragmentation des clinkers, 1981.

]. D. Fuerstenau, O. Gutsche, and P. C. Kapur, Confined particle bed comminution under compressive loads, International Journal of Mineral Processing, issue.0, pp.44-45, 1996.
DOI : 10.1016/b978-0-444-82440-0.50047-x

]. D. Fuerstenau and A. M. Abouzeid, The energy efficiency of ball milling in comminution, International Journal of Mineral Processing, vol.67, issue.1-4, pp.1-4, 2002.
DOI : 10.1016/S0301-7516(02)00039-X

]. D. Fuerstenau and A. M. Abouzeid, The performance of the high pressure roll mill : effect of feed moisture, International Journal of Mineral Processing, vol.82, issue.4, 2007.

]. F. Gilabert, J. Roux, and A. Castellanos, Computer simulation of model cohesive powders: Plastic consolidation, structural changes, and elasticity under isotropic loads, Physical Review E, vol.78, issue.3, p.31305, 2008.
DOI : 10.1103/PhysRevE.78.031305
URL : https://hal.archives-ouvertes.fr/hal-00274565

]. M. Guimaraes, J. R. Valdes, A. M. Palomino, and J. C. Santamarina, Aggregate production: Fines generation during rock crushing, International Journal of Mineral Processing, vol.81, issue.4, pp.237-247, 2007.
DOI : 10.1016/j.minpro.2006.08.004

]. O. Gutsche and D. W. Fuerstenau, Fracture kinetics of particle bed comminution ??? ramifications for fines production and mill optimization, Powder Technology, vol.105, issue.1-3, pp.113-118, 1999.
DOI : 10.1016/S0032-5910(99)00125-4

]. S. Hashim, Mathematical modelling of the two compartment mil and classification, 2004.

Z. He, L. Dormieux, E. Lemarchand, and D. Kondo, A poroelastic model for the effective behavior of granular materials with interface effect, Mechanics Research Communications, vol.43, pp.647-653, 2009.
DOI : 10.1016/j.mechrescom.2012.02.009
URL : https://hal.archives-ouvertes.fr/hal-00720977

]. R. Heckel, Density-pressure relationships in powder compaction. Transactions of the Metallurgical Society of AIME, pp.661-675, 1961.

]. R. Henderson, C. H. , A. R. Akisanya, C. Mc-chandler, and S. A. Nixon, Micro-mechanical modelling of powder compaction, Journal of the Mechanics and Physics of Solids, vol.49, issue.4, pp.739-759, 2001.
DOI : 10.1016/S0022-5096(00)00055-7

]. E. Bibliographie, E. T. Hoek, and . Brown, Empirical strength criterion for rock masses, Journal of Geotechnical and Geoenvironmental Engineering, vol.106, pp.1013-1025, 1980.

]. C. Hosten and H. Cimilli, The effects of feed size distribution on confinedbed comminution of quartz and calcite in piston-die press, International Journal of Mineral Processing, vol.91, pp.3-4, 2009.

]. C. Hosten and B. Fidan, An industrial comparative study of cement clinker grinding systems regarding the specific energy consumption and cement properties, Powder Technology, vol.221, issue.0, pp.183-188, 2012.
DOI : 10.1016/j.powtec.2011.12.065

]. Hsu, G. V. Reklaitis, and V. Venkatasubramanian, Modeling and Control of Roller Compaction for Pharmaceutical Manufacturing. Part I: Process Dynamics and Control Framework, Journal of Pharmaceutical Innovation, vol.41, issue.2, pp.14-23, 2010.
DOI : 10.1007/s12247-010-9076-0

K. F. Hu and . Ehmann, A dynamic model of the rolling process. Part I: homogeneous model, International Journal of Machine Tools and Manufacture, vol.40, issue.1, pp.1-19, 2000.
DOI : 10.1016/S0890-6955(99)00049-8

]. R. Hukki, Proposal for a solomonic settlement between the theories of von Rittinger, 1961.

]. U. Jansen and D. Stoyan, On the validity of the Weibull failure model for brittle particles, Granular Matter, vol.2, issue.4, pp.165-170, 2000.
DOI : 10.1007/s100350000052

]. A. Jenike and R. T. Shield, On the plastic flow of Coulomb solids beyond original failure, Journal of Applied Mechanics, vol.26, pp.599-602, 1959.

]. A. Jenike, P. J. Elsey, and R. H. Woolley, Flow properties of bulk solids, ASTM proceedings, vol.60, pp.1168-1181, 1960.

]. J. Johanson, A Rolling Theory for Granular Solids, Journal of Applied Mechanics, vol.32, issue.4, pp.842-849, 1965.
DOI : 10.1115/1.3627325

]. J. Johanson, Modeling flow of bulk solids, Powder Technology, vol.5, issue.2, pp.93-99, 1971.
DOI : 10.1016/0032-5910(72)80006-8

]. J. Johanson and A. W. Jenike, The effect of the gaseous phase on pressures in a cylindrical silo, Powder Technology, vol.5, issue.3, pp.133-145, 1971.
DOI : 10.1016/0032-5910(72)80014-7

]. J. Johanson and B. D. Cox, Fluid entrainment effects in roller compaction, Powder Handling and Processing, pp.183-185, 1989.

[. J. Valdes-2012, ]. J. Valdes, and F. L. , Periodic propagation of localized compaction in a brittle granular material, Granular Matter, vol.391, issue.4, pp.71-76, 2012.
DOI : 10.1007/s10035-011-0302-3

]. P. Kapur, Self-preserving size spectra of comminuted particles, Chemical Engineering Science, vol.27, issue.2, pp.425-431, 1971.
DOI : 10.1016/0009-2509(72)85079-6

]. V. Katashinskii, Analytical determination of specific pressure during the rolling of metal powders (en russe), Soviet Powder Metallurgy and Metal Ceramics, vol.10, pp.765-772, 1986.

]. K. Kendall, The impossibility of comminuting small particles by compression, Nature, vol.40, issue.5655, pp.170-171, 1978.
DOI : 10.1088/0508-3443/18/2/311

]. M. Khanal, W. Schubert, and J. Tomas, Discrete element method simulation of bed comminution, Minerals Engineering, vol.20, issue.2, pp.179-187, 2007.
DOI : 10.1016/j.mineng.2006.08.011

]. S. Kowatra, Comminution Practices. Society for Mining Mettalurgy and Exploration, 1997.

]. S. Kowatra, Advances in Comminution. Society for Mining Mettalurgy and Exploration, 2004.

]. J. Kozeny, Ueber kapillare Leitung des Wassers im Boden, pp.271-306, 1927.

]. W. Kreher, Residual stresses and stored elastic energy of composites and polycrystals, Journal of the Mechanics and Physics of Solids, vol.38, issue.1, pp.115-128, 1990.
DOI : 10.1016/0022-5096(90)90023-W

]. E. Kröner, Self-consistent scheme and graded disorder in polycrystal elasticity, Journal of Physics F: Metal Physics, vol.8, issue.11, pp.2261-2267, 1978.
DOI : 10.1088/0305-4608/8/11/011

]. B. Kschinka, S. Perrella, H. Nguyen, and R. C. Bradt, Strengths of Glass Spheres in Compression, Journal of the American Ceramic Society, vol.63, issue.3, pp.467-472, 1986.
DOI : 10.1111/j.1151-2916.1986.tb07447.x

]. M. Kuhn, C. S. Chang, and . Stability, Stability, bifurcation, and softening in discrete systems: A conceptual approach for granular materials, International Journal of Solids and Structures, vol.43, issue.20, pp.6026-6051, 2006.
DOI : 10.1016/j.ijsolstr.2005.10.012

]. J. Liu and K. Schönert, Modelling of interparticle breakage, International Journal of Mineral Processing, vol.4445, issue.0, pp.101-115, 1996.

]. H. Liu, S. Q. Kou, and P. Lindqvist, Numerical studies on the inter-particle breakage of a confined particle assembly in rock crushing, Mechanics of Materials, vol.37, issue.9, pp.935-954, 2005.
DOI : 10.1016/j.mechmat.2004.10.002

]. A. Love, A treatise of the mathematical theory of elasticity, 1920.
URL : https://hal.archives-ouvertes.fr/hal-01307751

]. Y. Maalej, L. Dormieux, and J. Sanahuja, Micromechanical approach to the failure criterion of granular media, European Journal of Mechanics - A/Solids, vol.28, issue.3, pp.647-653, 2009.
DOI : 10.1016/j.euromechsol.2008.10.010

]. H. Makse, D. L. Johnson, and L. M. Schwartz, Packing of Compressible Granular Materials, Physical Review Letters, vol.84, issue.18, pp.4160-4163, 2000.
DOI : 10.1103/PhysRevLett.84.4160

]. L. Margolin, A generalized Griffith criterion for crack propagation, Engineering Fracture Mechanics, vol.19, issue.3, pp.539-543, 1984.
DOI : 10.1016/0013-7944(84)90010-9

]. G. Marketos and M. D. Bolton, Compaction bands simulated in Discrete Element Models, Journal of Structural Geology, vol.31, issue.5, pp.479-490, 2009.
DOI : 10.1016/j.jsg.2009.03.002

]. G. Mcdowell, M. D. Bolton, and D. Robertson, The fractal crushing of granular materials, Journal of the Mechanics and Physics of Solids, vol.44, issue.12, pp.2079-2102, 1996.
DOI : 10.1016/S0022-5096(96)00058-0

]. G. Mcdowell and M. D. Bolton, On the micromechanics of crushable aggregates, G??otechnique, vol.48, issue.5, pp.667-679, 1998.
DOI : 10.1680/geot.1998.48.5.667

]. M. Meier, E. John, D. Wieckhusen, W. Wirth, and W. Peukert, Characterization of the grinding behaviour in a single particle impact device: Studies on pharmaceutical powders, European Journal of Pharmaceutical Sciences, vol.34, issue.1, pp.45-55, 2008.
DOI : 10.1016/j.ejps.2008.02.120

]. H. Merkus, Particle size measurments. Fundamentals, practice, quality, 2009.

]. A. Michrafy, D. Rigenbacher, and P. Tchoreloff, Modelling the compaction behaviour of powders: application to pharmaceutical powders, Powder Technology, vol.127, issue.3, pp.257-266, 2002.
DOI : 10.1016/S0032-5910(02)00119-5

]. A. Michrafy, H. Diarra, J. A. Dodds, and M. Michrafy, Experimental and numerical analyses of homogeneity over strip width in roll compaction, Powder Technology, vol.206, issue.1-2, pp.154-160, 2011.
DOI : 10.1016/j.powtec.2010.04.030

]. A. Michrafy, H. Diarra, J. A. Dodds, M. Michrafy, and L. Penazzi, Analysis of strain stress state in roller compaction process, Powder Technology, vol.208, issue.2, pp.417-422, 2011.
DOI : 10.1016/j.powtec.2010.08.037

A. R. Muliadi, J. D. Lister, and C. R. Wassgren, Modeling the powder roll compaction process: Comparison of 2-D finite element method and the rolling theory for granular solids (Johanson's model), Powder Technology, vol.221, pp.90-100, 2012.
DOI : 10.1016/j.powtec.2011.12.001

]. P. Murfitt and P. L. Bransby, Deaeration of powders in hoppers, Powder Technology, vol.27, issue.2, pp.149-162, 1980.
DOI : 10.1016/0032-5910(80)85017-0

]. F. Musa and R. Morrison, A more sustainable approach to assessing comminution efficiency, Minerals Engineering, vol.22, issue.7-8, pp.593-601, 2009.
DOI : 10.1016/j.mineng.2009.04.004

]. G. Nguyen and I. Einav, The Energetics of Cataclasis Based on Breakage Mechanics, Pure and Applied Geophysics, vol.166, issue.10-11, pp.1693-1724, 2009.
DOI : 10.1007/s00024-009-0518-x

]. M. Oda, Inherent and induced anisotropy in plasticity theory of granular soils, Mechanics of Materials, vol.16, issue.1-2, pp.35-45, 1993.
DOI : 10.1016/0167-6636(93)90025-M

]. W. Oettel, A. Nguyen, K. Husemann, and C. Bernhardt, Comminution in confined particle beds by single compressive load, International Journal of Mineral Processing, vol.63, issue.1, 2001.
DOI : 10.1016/S0301-7516(00)00066-1

]. L. Opoczky and V. Gavel, Effect of certain trace elements on the grindability of cement clinkers in the connection with the use of wastes, International Journal of Mineral Processing, vol.74, issue.0, pp.129-136, 2004.
DOI : 10.1016/j.minpro.2004.07.020

]. Sullivan, Particulate Discrete Element modeling, a Geomechanics perspective, 2011.

D. R. Owen, E. A. De-souza-neto, S. Y. Zhao, D. Peric, and J. G. Loughran, Finite element simulation of the rolling and extrusion of multi-phase materials Application to the rolling of prepared sugar cane, Computer Methods in Applied Mechanics and Engineering, vol.151, issue.3-4, pp.479-495, 1998.
DOI : 10.1016/S0045-7825(97)00173-4

]. M. Parrinello and A. Rahman, Polymorphic transitions in single crystals: A new molecular dynamics method, Journal of Applied Physics, vol.52, issue.12, pp.7182-7190, 1981.
DOI : 10.1063/1.328693

]. M. Patel, S. Blackburn, and D. I. Wilson, Modelling of paste flows subject to liquid phase migration, International Journal for Numerical Methods in Engineering, vol.29, issue.10, pp.1157-1180, 2007.
DOI : 10.1002/nme.2040

]. S. Peter, R. F. Lammens, and K. Steffens, Roller compaction/Dry granulation: Use of the thin layer model for predicting densities and forces during roller compaction, Powder Technology, vol.199, issue.2, pp.165-175, 2010.
DOI : 10.1016/j.powtec.2010.01.002

]. A. Potapov and C. S. Campbell, The breakage induced by a single grinding ball dropped onto a randomly packed particle bed, Powder Technology, vol.107, issue.1-2, pp.108-117, 2000.
DOI : 10.1016/S0032-5910(99)00177-1

]. A. Potapov and C. S. Campbell, Parametric dependence of particle breakage mechanisms, Powder Technology, vol.120, issue.3, pp.164-174, 2001.
DOI : 10.1016/S0032-5910(01)00272-8

]. P. Pourghahramani and E. Forssberg, The characterization of structural changes in hematite ground in a confined particle bed using Rietveld analysis, International Journal of Mineral Processing, vol.83, issue.1-2, pp.47-59, 2007.
DOI : 10.1016/j.minpro.2007.04.004

]. J. Quist and C. M. Evertsson, Simulating Capacity and Breakage in Cone Crushers Using DEM. proceedings of 7th International Comminution Symposium, pp.13-16, 2010.

]. F. Radjai, M. Jean, J. Moreau, and S. Roux, Force Distributions in Dense Two-Dimensional Granular Systems, Physical Review Letters, vol.77, issue.2, pp.274-277, 1996.
DOI : 10.1103/PhysRevLett.77.274
URL : https://hal.archives-ouvertes.fr/hal-00759668

]. F. Radjai, D. E. Wolf, M. Jean, and J. 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

H. Rhee, Y. Kim, B. R. Deng, and . Lawn, Brittle Fracture versus Quasi Plasticity in Ceramics: A Simple Predictive Index, Journal of the American Ceramic Society, vol.41, issue.8, pp.561-565, 2001.
DOI : 10.1111/j.1151-2916.2001.tb00698.x

]. Roux and G. Combe, Quasistatic rheology and the origins of strain, Comptes Rendus de l'Académie des Sciences (Physique), pp.131-140, 2002.
DOI : 10.1016/S1631-0705(02)01306-3
URL : https://hal.archives-ouvertes.fr/hal-00354256

]. Roux, F. Chevoir, and F. Toussaint, Etats de compacité maximale pour les mélanges binaires de grains sphériques : étude par simulation numérique, Bulletin des Laboratoires des Ponts et Chaussées), pp.268-269, 2007.

]. A. Russell, D. Muir-wood, and M. Kikumoto, Crushing of particles in idealised granular assemblies, Journal of the Mechanics and Physics of Solids, vol.57, issue.8, pp.1293-1313, 2009.
DOI : 10.1016/j.jmps.2009.04.009

]. J. Salencon, De l'elastoplasticité au calcul à la rupture. Editions Ecole Polytechnique, 2002.

]. C. Sammis, R. H. Osborne, J. L. Anderson, M. Banerdt, and P. White, Self-similar cataclasis in the formation of fault gouge, Pure and Applied Geophysics PAGEOPH, vol.113, issue.1-2, 1984.
DOI : 10.1007/BF00875719

]. J. Sanahuja and L. Dormieux, R??sistance d'un milieu poreux ?? phase solide h??t??rog??ne, Comptes Rendus M??canique, vol.333, issue.11, pp.818-823, 2005.
DOI : 10.1016/j.crme.2005.09.008

]. R. Schnatz, H. G. Ellerbrock, and S. Sprung, Influencing the workability characteristics of cement during finish grinding with high-pressure grinding rolls. Zement-Kalk-Gips International, pp.264-273, 1995.

]. K. Schönert and U. Sander, Shear stresses and material slip in high pressure roller mills, Powder Technology, vol.122, issue.2-3, pp.136-144, 2002.
DOI : 10.1016/S0032-5910(01)00409-0

]. A. Schofield and P. Wroth, Critical state soils mechanic, 1968.

]. D. Schwechten and G. H. Milburn, Experiences in dry grinding with high compression roller mills for end product quality below 20 microns, Minerals Engineering, vol.3, issue.1-2, pp.23-34, 1990.
DOI : 10.1016/0892-6875(90)90078-P

]. Hosseininia and A. A. Mirghasemi, Numerical simulation of breakage of two-dimensional polygon-shaped particles using discrete element method, Powder Technology, vol.166, issue.2, pp.100-112, 2006.
DOI : 10.1016/j.powtec.2006.05.006

E. , S. Hosseininia, and A. A. Mirghasemi, Effect of particle breakage on the behavior of simulated angular particle assemblies, China Particuology, vol.5, issue.5, pp.328-336, 2007.

]. L. Silbert, G. S. Grest, and J. W. Landry, Statistics of the contact network in frictional and frictionless granular packings, Physical Review E, vol.66, issue.6, p.61303, 2002.
DOI : 10.1103/PhysRevE.66.061303

]. O. Simon, Etude expérimentale de l'interaction alimentation-compaction dans une presse à rouleaux lisses alimentée par une vis horizontale, 2000.

]. M. Skrzypczak, Compréhension des mécanismes physico-chimiques intervenant lors du broyage à sec du carbonate de calcium en présence d'agents de broyage, 2009.

]. M. Skrzypczak, C. Guerret-piecourt, S. Bec, J. Loubet, and O. Guerret, Use of a nanoindentation fatigue test to characterize the ductile???brittle transition, Journal of the European Ceramic Society, vol.29, issue.6, pp.1021-1028, 2009.
DOI : 10.1016/j.jeurceramsoc.2008.07.066
URL : https://hal.archives-ouvertes.fr/hal-00304769

]. J. Sonnergaard, A critical evaluation of the Heckel equation, International Journal of Pharmaceutics, vol.193, issue.1, pp.63-71, 1999.
DOI : 10.1016/S0378-5173(99)00319-1

]. B. Storåkers, N. A. Fleck, and R. M. Mcmeeking, The viscoplastic compaction of composite powders, Journal of the Mechanics and Physics of Solids, vol.47, issue.4, pp.785-815, 1999.
DOI : 10.1016/S0022-5096(98)00076-3

]. A. Suiker and N. A. Fleck, Frictional Collapse of Granular Assemblies, Journal of Applied Mechanics, vol.71, issue.3, pp.350-358, 2004.
DOI : 10.1115/1.1753266

P. Suquet, Effective behavior of non-linear composite, Continuum micromechanics, 1997.

]. L. Tavares, Microscale investigation of particle breakage applied to the study of thermal and mechanical pre-damage, 1981.

]. L. Tavares and R. King, Single-particle fracture under impact loading, International Journal of Mineral Processing, vol.54, issue.1, pp.1-28, 1998.
DOI : 10.1016/S0301-7516(98)00005-2

]. L. Tavares and M. C. Cerqueira, Statistical analysis of impact-fracture characteristics and microstructure of industrial Portland cement clinkers, Cement and Concrete Research, vol.36, issue.3, pp.409-415, 2006.
DOI : 10.1016/j.cemconres.2005.09.012

]. L. Tavares, M. C. Cerqueira, and J. J. Iess, Analysis of the grinding behaviour of various Portland cement clinkers, ZKG, vol.62, issue.4, 2009.

]. C. Thornton, Numerical simulations of deviatoric shear deformation of granular media, G??otechnique, vol.50, issue.1, pp.43-53, 2000.
DOI : 10.1680/geot.2000.50.1.43

]. P. Toneva and W. Peukert, A general approach for the characterization of fragmentation problems, Advanced Powder Technology, vol.18, issue.1, pp.39-51, 2007.
DOI : 10.1163/156855207779768160

]. O. Bibliographie and . Tsoungui, Modélisation numérique et expérimentale du broyage des grains en compression, 1998.

]. O. Tsoungui, D. Vallet, and J. Charmet, Numerical model of crushing of grains inside two-dimensional granular materials, Powder Technology, vol.105, issue.1-3, pp.190-198, 1999.
DOI : 10.1016/S0032-5910(99)00137-0

]. O. Tsoungui, D. Vallet, J. Charmet, and S. Roux, Size effects in single grain fragmentation, Granular Matter, vol.2, issue.1, pp.19-27, 1999.
DOI : 10.1007/s100350050030

]. D. Vallet, Etude expérimentale de la fragmentation du clinker de ciment : grain unique et empilement, 1995.

]. K. Velez, S. Maximilien, D. Damidot, G. Fantozzi, and F. Sorrentino, Determination by nanoindentation of elastic modulus and hardness of pure constituents of Portland cement clinker, Cement and Concrete Research, vol.31, issue.4, pp.555-561, 2001.
DOI : 10.1016/S0008-8846(00)00505-6

]. L. Vogel and W. Peukert, Characterisation of Grinding-Relevant Particle Properties by Inverting a Population Balance Model. Particle and Particle Systems Characterization, pp.149-157, 2002.

]. E. Walker, The properties of powders. Part VI. The compressibility of powders, Transactions of the Faraday Society, vol.19, issue.July, pp.73-82, 1923.
DOI : 10.1039/tf9231900073

]. Y. Wang and E. Forrsberg, International overview and outlook on comminution technologies, 2003.

]. R. Weichert, Anwendung von Fehlstellenstatistik und Bruchmechanik zur Beschreibung von Zerkleinerungsvorgangen, 1992.

]. W. Whiten, A matrix theory of comminution machines, Chemical Engineering Science, vol.29, issue.2, pp.589-599, 1974.
DOI : 10.1016/0009-2509(74)80070-9

]. A. Zaoui, Structural morphology and constitutive behavior of microheterogenous materials, Continuum micromechanics, 1997.

]. A. Zaoui, Continuum Micromechanics: Survey, Journal of Engineering Mechanics, vol.128, issue.8, pp.808-816, 2002.
DOI : 10.1061/(ASCE)0733-9399(2002)128:8(808)
URL : https://hal.archives-ouvertes.fr/hal-00111366

]. Q. Zhu, D. Kondo-et-pensee, V. Shao, and J. , Micromechanical modelling of anisotropic damage in brittle rocks and application, International Journal of Rock Mechanics and Mining Sciences, vol.45, issue.4, pp.467-477, 2008.
DOI : 10.1016/j.ijrmms.2007.07.014
URL : https://hal.archives-ouvertes.fr/hal-00721323

]. Q. Zuo and J. K. Dienes, On the stability of penny-shaped cracks with friction: the five types of brittle behavior, International Journal of Solids and Structures, vol.42, issue.5-6, pp.1309-1326, 2005.
DOI : 10.1016/j.ijsolstr.2004.08.003