N. Aravas and P. P. Castañeda, Numerical methods for porous metals with deformationinduced anisotropy Computer methods in applied mechanics and engineering 193, 2004.

R. J. Arsenault and M. Taya, Thermal residual stress in metal matrix composite, Acta Metallurgica, vol.35, issue.3, pp.651-659, 1955.
DOI : 10.1016/0001-6160(87)90188-X

G. Bao, W. Hutchinson, and R. M. Mcmeeking, Particle reinforcement of ductile matrices against plastic flow and creep, Acta Metallurgica et Materialia, vol.39, issue.8, pp.1871-1882, 1991.
DOI : 10.1016/0956-7151(91)90156-U

S. G. Bardenhagen and J. U. Brackbill, Dynamic stress bridging in granular material, Journal of Applied Physics, vol.5, issue.11, 1998.
DOI : 10.1063/1.1658021

B. K. Bay, T. S. Smith, D. P. Fyhrie, and M. Saad, Digital volume correlation: Three-dimensional strain mapping using X-ray tomography, Experimental Mechanics, vol.27, issue.10???12, pp.217-226, 1999.
DOI : 10.2118/22943-PA

Z. P. Ba?ant, Finite strain generalization of smallstrain constitutive relations for any finite strain tensor and additive volumetric-deviatoric split, International Journal of Solids and Structures, vol.33, issue.20-22, pp.2887-2897, 1996.
DOI : 10.1016/0020-7683(96)00002-9

E. Bele and V. S. Deshpande, The Compressive Response of Idealized Cermetlike Materials, Journal of Applied Mechanics, vol.82, issue.4, 2015.
DOI : 10.1115/1.4029782

W. R. Blumenthal, I. Gray, G. T. Claytor, and T. N. , Response of aluminium-infiltrated boron carbide cermets to shock wave loading, Journal of Materials Science, vol.65, issue.17, pp.4567-4576, 1994.
DOI : 10.1007/BF00376280

B. Budiansky, On the elastic moduli of some heterogeneous materials, Journal of the Mechanics and Physics of Solids, vol.13, issue.4, pp.223-22710, 1965.
DOI : 10.1016/0022-5096(65)90011-6

W. Cai, G. R. Mcdowell, and G. D. Airey, Discrete element modelling of uniaxial constant strain rate tests on asphalt mixtures, Granular Matter, vol.23, issue.1, pp.163-174, 2013.
DOI : 10.1080/17486020902855704

P. P. Castañeda, The effective mechanical properties of nonlinear isotropic composites, Journal of the Mechanics and Physics of Solids, vol.39, issue.1, pp.45-7110, 1991.
DOI : 10.1016/0022-5096(91)90030-R

T. Christman, A. Needleman, and S. Suresh, An experimental and numerical study of deformation in metal-ceramic composites, Acta Metallurgica, vol.37, issue.11, pp.3029-3050, 1989.
DOI : 10.1016/0001-6160(89)90339-8

A. C. Collop, G. R. Mcdowell, and Y. Lee, On the use of Discrete Element Modelling to simulate the viscoelastic deformation behaviour of an idealised asphalt mixture, Geomechanics and Geoengineering, vol.6025, pp.37-4110, 1080.

B. G. Compton and F. W. Zok, Impact resistance of TiC-based cermets, International Journal of Impact Engineering, vol.62, pp.75-87, 2013.
DOI : 10.1016/j.ijimpeng.2013.06.008

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

K. Danas, V. S. Deshpande, and N. A. Fleck, Compliant interfaces: A mechanism for relaxation of dislocation pile-ups in a sheared single crystal, International Journal of Plasticity, vol.26, issue.12, pp.1792-1805, 2010.
DOI : 10.1016/j.ijplas.2010.03.008

URL : https://hal.archives-ouvertes.fr/hal-00526647

K. Danas and N. Aravas, Numerical modeling of elasto-plastic porous materials with void shape effects at finite deformations, Composites Part B: Engineering, vol.43, issue.6, 2012.
DOI : 10.1016/j.compositesb.2011.12.011

URL : https://hal.archives-ouvertes.fr/hal-00755844

V. S. Deshpande and D. Cebon, Models of Particle Reinforced Nonlinear-Viscous Composite, Journal of Engineering Mechanics, vol.125, issue.3, pp.255-262, 1999.
DOI : 10.1061/(ASCE)0733-9399(1999)125:3(255)

J. Desrues, R. Chambon, M. Mokni, and F. Mazerolle, Void ratio evolution inside shear bands in triaxial sand specimens studied by computed tomography, G??otechnique, vol.46, issue.3, 1996.
DOI : 10.1680/geot.1996.46.3.529

J. Desrues, J. Lanier, and P. Stutz, Localization of the deformation in tests on sand sample, Engineering Fracture Mechanics, vol.21, issue.4, pp.909-921, 1985.
DOI : 10.1016/0013-7944(85)90097-9

D. C. 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

URL : http://www.ams.org/qam/1952-10-02/S0033-569X-1952-48291-2/S0033-569X-1952-48291-2.pdf

H. Engqvist, S. Jacobson, and N. Axén, A model for the hardness of cemented carbides, Wear, vol.252, issue.5-6, pp.384-39310, 2002.
DOI : 10.1016/S0043-1648(01)00866-3

Z. Z. Fang, Correlation of transverse rupture strength of WC???Co with hardness, International Journal of Refractory Metals and Hard Materials, vol.23, issue.2, pp.119-127, 2005.
DOI : 10.1016/j.ijrmhm.2004.11.005

R. J. Finno, W. W. Harris, M. A. Mooney, and G. Viggiani, Shear bands in plane strain compression of loose sand, G??otechnique, vol.47, issue.1, 1997.
DOI : 10.1680/geot.1997.47.1.149

F. Gillard, R. Boardman, M. Mavrogordato, D. Hollis, I. Sinclair et al., The application of digital volume correlation (DVC) to study the microstructural behaviour of trabecular bone during compression, Journal of the Mechanical Behavior of Biomedical Materials, vol.29, pp.480-499, 2014.
DOI : 10.1016/j.jmbbm.2013.09.014

A. L. Gurson, Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I???Yield Criteria and Flow Rules for Porous Ductile Media, Journal of Engineering Materials and Technology, vol.99, issue.1, pp.2-15, 1977.
DOI : 10.1115/1.3443401

T. W. Gustafson, P. C. Panda, G. Song, and R. Raj, Influence of microstructural scale on plastic flow behavior of metal matrix composites, Acta Materialia, vol.45, issue.4, pp.1633-1643, 1997.
DOI : 10.1016/S1359-6454(96)00277-7

Z. Hashin and S. Shtrikman, A variational approach to the theory of the elastic behaviour of polycrystals, Journal of the Mechanics and Physics of Solids, vol.10, issue.4, pp.343-352, 1962.
DOI : 10.1016/0022-5096(62)90005-4

A. Hershey, The Plasticity of an Isotropic Aggregate of Anisotropic Face-Centered Cubic Crystals, Journal of Applied Mechanics, vol.21, pp.241-249, 1954.

R. Hill, A self-consistent mechanics of composite materials, Journal of the Mechanics and Physics of Solids, vol.13, issue.4, pp.213-22210, 1965.
DOI : 10.1016/0022-5096(65)90010-4

Z. Hu, H. Luo, S. G. Bardenhagen, C. R. Siviour, R. W. Armstrong et al., Internal Deformation Measurement of Polymer Bonded Sugar in Compression by Digital Volume Correlation of In-situ Tomography, Experimental Mechanics, vol.1, issue.1, pp.289-300, 2015.
DOI : 10.1023/A:1009788122217

O. Lopez-pamies, . T. Goudari, and K. Danas, The nonlinear elastic response of suspensions of rigid inclusions in rubber: II???A simple explicit approximation for finite-concentration suspensions, Journal of the Mechanics and Physics of Solids, vol.61, issue.1, pp.19-37, 2013.
DOI : 10.1016/j.jmps.2012.08.013

URL : https://hal.archives-ouvertes.fr/hal-00870885

H. C. Lee and J. Gurland, Hardness and deformation of cemented tungsten carbide, Materials Science and Engineering, vol.33, issue.1, pp.125-13310, 1978.
DOI : 10.1016/0025-5416(78)90163-5

J. Lee, N. J. Kim, J. Jung, E. Lee, and S. Ahn, The influence of reinforced particle fracture on strengthening of spray formed Cu-TiB2 composite, Scripta Materialia, vol.39, issue.8, pp.1063-1069, 1998.
DOI : 10.1016/S1359-6462(98)00246-2

N. Lenoir, M. Bornert, J. Desrues, P. Bésuelle, and G. Viggiani, Volumetric Digital Image Correlation Applied to X-ray Microtomography Images from Triaxial Compression Tests on Argillaceous Rock, Strain, vol.23, issue.3, 2007.
DOI : 10.1520/GTJ11051J

URL : https://hal.archives-ouvertes.fr/hal-00541503

C. H. Liu, S. R. Nagel, D. A. Schecter, S. N. Coppersmith, S. Majumdar et al., Force Fluctuations in Bead Packs, Science, vol.269, issue.5223, pp.513-515, 1995.
DOI : 10.1126/science.269.5223.513

B. D. Lubachevsky and F. H. Stillinger, Geometric properties of random disk packings, Journal of Statistical Physics, vol.58, issue.1, pp.561-583, 1990.
DOI : 10.1007/BF01025983

A. Mbiakop, A. Constantinescu, and K. Danas, An analytical model for porous single crystals with ellipsoidal voids, Journal of the Mechanics and Physics of Solids, vol.84, 2015.
DOI : 10.1016/j.jmps.2015.07.011

G. R. Mcdowell and O. Harireche, Discrete element modelling of yielding and normal compression of sand, G??otechnique, vol.52, issue.4, pp.299-304, 2002.
DOI : 10.1680/geot.2002.52.4.299

E. G. Pickering, E. Bele, and V. S. Deshpande, Multi-axial response of idealized cermets, Acta Materialia, vol.116, 2016.
DOI : 10.1016/j.actamat.2016.06.051

W. Powrie, Q. Ni, R. M. Harkness, and X. Zhang, Numerical modelling of plane strain tests on sands using a particulate approach, G??otechnique, vol.55, issue.4, 2005.
DOI : 10.1680/geot.2005.55.4.297

D. Shockey, A. Marchand, S. Skaggs, G. Cort, M. Burkett et al., Failure phenomenology of confined ceramic targets and impacting rods, International Journal of Impact Engineering, vol.9, issue.3, pp.263-275, 1990.
DOI : 10.1016/0734-743X(90)90002-D

M. G. Tarantino, L. Weber, and A. Mortensen, Effect of hydrostatic pressure on flow and deformation in highly reinforced particulate composites, Acta Materialia, vol.117, 2016.
DOI : 10.1016/j.actamat.2016.06.052

M. Taya, K. E. Lulay, D. J. Lloyd, J. R. Tinklepaugh, and W. B. Crandall, Strengthening of a particulate metal matrix composite by quenching, Acta Metallurgica et Materialia, vol.39, issue.1, pp.73-87, 1960.
DOI : 10.1016/0956-7151(91)90329-Y

T. Travers, M. Ammi, D. Bideau, A. Gervois, J. Messager et al., Uniaxial Compression of 2d Packings of Cylinders. Effects of Weak Disorder, Europhysics Letters (EPL), vol.4, issue.3, pp.329-332, 1987.
DOI : 10.1209/0295-5075/4/3/012

S. M. Walley, Historical review of high strain rate and shock properties of ceramics relevant to their application in armour, Advances in Applied Ceramics, vol.49, issue.3, pp.446-466, 2010.
DOI : 10.1051/jp4:2006134068

J. Wu, A. C. Collop, and G. R. Mcdowell, Discrete Element Modeling of Constant Strain Rate Compression Tests on Idealized Asphalt Mixture, Journal of Materials in Civil Engineering, vol.23, issue.1, 2011.
DOI : 10.1061/(ASCE)MT.1943-5533.0000002