L. Tessellations and O. , 102 4.2.5.1 The weighted Delaunay triangulation

.. The-nite-element-formulation, 125 5.2.3.1 Classical mixed formulation, p.129

D. Simulations, 130 5.2.4.1 The RVE's size The eect of varying cell irregularity, p.137

P. R. Dawson, Computational crystal plasticity, International Journal of Solids and Structures, vol.37, issue.1-2, pp.115-130, 2000.
DOI : 10.1016/S0020-7683(99)00083-9

R. E. Logé, M. Bernacki, H. Resk, L. Delannay, H. Digonnet et al., Linking plastic deformation to recrystallization in metals using digital microstructures, Philosophical Magazine, vol.14, issue.30-32, p.36913712, 2008.
DOI : 10.1016/j.actamat.2006.10.022

J. Fish, A. Suvorov, and V. Belsky, Automated adaptive multilevel solver, Containing papers presented at the Symposium on Advances in Computational Mechanics, pp.267-287, 1997.
DOI : 10.1016/S0045-7825(97)00053-4

V. Kouznetsova, M. G. Geers, and W. A. Brekelmans, Multi-scale constitutive modelling of heterogeneous materials with a gradient-enhanced computational homogenization scheme, International Journal for Numerical Methods in Engineering, vol.42, issue.8, p.12351260, 2002.
DOI : 10.1002/nme.541

K. Matsui, K. Terada, and K. Yuge, Two-scale nite element analysis of heterogeneous solids with periodic microstructures, Computers and Structures, vol.82, issue.78, p.593606, 2004.

H. X. Zhu, S. M. Thorpe, and A. H. Windle, The eect of cell irregularity on the high strain compression of 2D Voronoi honeycombs, International Journal of Solids and Structures, vol.43, p.10611078, 2006.

X. Chen and T. Papathanasiou, The transverse permeability of disordered ber arrays: a statistical correlation in terms of the mean nearest interber spacing, Transport in Porous Media, p.233251, 2008.

K. Li, X. Gao, and G. Subhash, Effects of cell shape and strut cross-sectional area variations on the elastic properties of three-dimensional open-cell foams, Journal of the Mechanics and Physics of Solids, vol.54, issue.4, pp.783-806, 2006.
DOI : 10.1016/j.jmps.2005.10.007

A. P. Roberts and E. J. Garboczi, Elastic moduli of model random threedimensional closed-cell cellular solids, Acta materialia, vol.49, p.189197, 2001.

H. X. Zhu, J. R. Hobdell, and A. H. Windle, Effects of cell irregularity on the elastic properties of open-cell foams, Acta Materialia, vol.48, issue.20, pp.4893-4900, 2000.
DOI : 10.1016/S1359-6454(00)00282-2

H. X. Zhu, J. R. Hobdell, and A. H. Windle, Effects of cell irregularity on the elastic properties of 2D Voronoi honeycombs, Journal of the Mechanics and Physics of Solids, vol.49, issue.4, p.857, 2001.
DOI : 10.1016/S0022-5096(00)00046-6

H. X. Zhu and A. H. Windle, Effects of cell irregularity on the high strain compression of open-cell foams, Acta Materialia, vol.50, issue.5, pp.1041-1052, 2002.
DOI : 10.1016/S1359-6454(01)00402-5

M. Bernacki, Y. Chastel, H. Digonnet, H. Resk, T. Coupez et al., Development of numerical tools for the multiscale modelling of recrystallisation in metals, based on a digital material framework, Computer Methods in Materials Science, vol.7, p.142149, 2007.

M. Bernacki, H. Resk, T. Coupez, and R. E. Logé, Finite element model of primary recrystallization in polycrystalline aggregates using a level set framework, Modelling and Simulation in, Materials Science and Engineering, vol.17, p.64006, 2009.

H. Resk, L. Delannay, M. Bernacki, T. Coupez, and R. E. Logé, Adaptive mesh renement and automatic remeshing in crystal plasticity nite element simulations, Modelling and Simulation in, Materials Science and Engineering, vol.17, pp.7-075012, 2009.
DOI : 10.1088/0965-0393/17/7/075012

Z. Sun, R. Logé, and M. Bernacki, 3D finite element model of semi-solid permeability in an equiaxed granular structure, Computational Materials Science, vol.49, issue.1, p.158, 2010.
DOI : 10.1016/j.commatsci.2010.04.042
URL : https://hal.archives-ouvertes.fr/hal-00509733

S. Vernède, P. Jarry, and M. Rappaz, A granular model of equiaxed mushy zones: Formation of a coherent solid and localization of feeding, Acta Materialia, vol.54, issue.15, pp.4023-4034, 2006.
DOI : 10.1016/j.actamat.2006.04.035

S. Vernède and M. Rappaz, A simple and efficient model for mesoscale solidification simulation of globular grain structures, Acta Materialia, vol.55, issue.5, p.1703, 1710.
DOI : 10.1016/j.actamat.2006.10.031

X. Chen and T. Papathanasiou, Micro-scale modeling of axial flow through unidirectional disordered fiber arrays, Composites Science and Technology, vol.67, issue.7-8, pp.1286-1293, 2007.
DOI : 10.1016/j.compscitech.2006.10.011

P. Laure, G. Beaume, O. Basset, L. Silva, and T. Coupez, Numerical methods for solid particles in particulate ow simulations, European Journal of Computational Mechanics, vol.16, p.365383, 2007.

Y. Shi and Y. Zhang, Simulation of random packing of spherical particles with dierent size distributions, Applied Physics A, vol.92, p.621626, 2008.

J. Zhou, Y. Zhang, and J. K. Chen, Numerical Simulation of Random Packing of Spherical Particles for Powder-Based Additive Manufacturing, Journal of Manufacturing Science and Engineering, vol.131, issue.3, p.31004, 2009.
DOI : 10.1115/1.3123324

K. Bagi, An algorithm to generate random dense arrangements for discrete element simulations of granular assemblies, Granular Matter, vol.7, issue.1, p.3143, 2005.
DOI : 10.1007/s10035-004-0187-5

A. Benabbou, H. Borouchaki, P. Laug, and J. Lu, Geometrical modeling of granular structures in two and three dimensions. Application to nanostructures, International Journal for Numerical Methods in Engineering, vol.57, issue.13, p.425454, 2009.
DOI : 10.1002/nme.2644

H. Digonnet, L. Silva, and T. Coupez, Cimlib: A Fully Parallel Application For Numerical Simulations Based On Components Assembly, AIP Conference Proceedings, 2007.
DOI : 10.1063/1.2740823

A. Agnoli, Understanding and prediction of inhomogeneous grain growth in Inconel 718 forgings, tech. rep, 2011.

A. L. Cruz-fabiano, Modélisation de la plasticité cristalline et de la croissance de grains dans un cadre éléments nis, tech. rep, 2011.

A. Zouaghi, Modélisation numérique multi-échelle de la compaction à chaud de poudres métalliques, tech. rep, 2010.

A. Zouaghi, M. Bellet, Y. Bienvenu, G. Perrin, D. Cedat et al., Modélisation de la phase de compaction du procédé CIC à l'échelle mésoscopique, 20ème Congrès Français de Mécanique, 2011.

G. Beaume, Modélisation et simulation numérique directe de l'écoulement d'un uide complexe, 2008.

K. Li, X. L. Gao, and G. Subhash, Eects of cell shape and cell wall thickness variations on the elastic properties of two-dimensional cellular solids, International Journal of Solids and Structures, vol.42, p.17771795, 2005.

A. P. Roberts and E. J. Garboczi, Elastic properties of model random threedimensional open-cell solids, Journal of the Mechanics and Physics of Solids, vol.50, p.3355, 2002.

A. Benabbou, H. Borouchaki, P. Laug, and J. Lu, Numerical modeling of nanostructured materials, Finite Elements in, Analysis and Design, vol.46, issue.12, pp.165-180, 2010.

A. Brahme, M. H. Alvi, D. Saylor, J. Fridy, and A. D. , Rollett, 3d reconstruction of microstructure in a commercial purity aluminum, Scripta Materialia, vol.55, p.7580, 2006.

K. Bagi, A quasi-static numerical model for micro-level analysis of granular assemblies, Mechanics of Materials, vol.16, issue.1-2, p.110, 1993.
DOI : 10.1016/0167-6636(93)90032-M

A. Benabbou, Modélisation géométrique et maillage des structure granulaires. Application aux matériaux nanostructurés, 2008.

W. M. Visscher and M. Bolsterli, Random Packing of Equal and Unequal Spheres in Two and Three Dimensions, Nature, vol.194, issue.5374, p.504507, 1972.
DOI : 10.1038/239504a0

L. Xuefeng, S. Jianmeng, and W. Haitao, Reconstruction of 3-D digital cores using a hybrid method, Applied Geophysics, vol.6, p.105112, 2009.

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

C. Y. Wang and V. Liang, A PACKING GENERATION SCHEME FOR THE GRANULAR ASSEMBLIES WITH PLANAR ELLIPTICAL PARTICLES, International Journal for Numerical and Analytical Methods in Geomechanics, vol.13, issue.5, p.347358, 1997.
DOI : 10.1002/(SICI)1096-9853(199705)21:5<347::AID-NAG874>3.0.CO;2-L

C. Y. Wang, C. Wang, and J. Sheng, A packing generation scheme for the granular assemblies with 3D ellipsoidal particles, International Journal for Numerical and Analytical Methods in Geomechanics, vol.47, issue.8, p.815828, 1999.
DOI : 10.1002/(SICI)1096-9853(199907)23:8<815::AID-NAG15>3.0.CO;2-6

Y. Lee, C. Fang, Y. Tsou, L. Lu, and C. Yang, A packing algorithm for three-dimensional convex particles, Granular Matter, vol.97, issue.3, p.307315, 2009.
DOI : 10.1007/s10035-009-0133-7

F. Jin, H. Xin, C. Zhang, and Q. Sun, Probability-based contact algorithm for non-spherical particles in DEM, Press, Corrected Proof, 2011.
DOI : 10.1016/j.powtec.2011.05.003

O. Skrinjar and P. Larsson, On discrete element modelling of compaction of powders with size ratio, Computational Materials Science, vol.31, issue.1-2, pp.131-146, 2004.
DOI : 10.1016/j.commatsci.2004.02.005

R. Bouix, Caractérisation mécanique et modélisation numérique du comportement des mousse polymériques sous sollicitations statiques et dynamiques, Ecole Naionale Supérieure d'Arts et Métiers, 2008.

Y. Chen, D. Imbault, and P. Dorémus, Numerical simulation of cold compaction of 3d granular packings, Materials Science Forum, pp.534-536, 2007.

B. Harthong, J. Jérier, P. Dorémus, D. Imbault, and F. Donzé, Modeling of high-density compaction of granular materials by the Discrete Element Method, International Journal of Solids and Structures, vol.46, issue.18-19, pp.18-19, 2009.
DOI : 10.1016/j.ijsolstr.2009.05.008

P. J. Frey and P. George, Maillages: applications aux éléments nis, 1999.

M. A. Groeber, M. D. Uchic, D. M. Dimiduk, Y. Bhandari, and S. Ghosh, A framework for automated 3D microstructure analysis & representation, Journal of Computer-Aided Materials Design, vol.37, issue.S1, pp.63-74, 2008.
DOI : 10.1007/s10820-007-9078-5

S. J. Osher and J. A. Sethian, Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations, Journal of Computational Physics, vol.79, issue.1, p.1249, 1988.
DOI : 10.1016/0021-9991(88)90002-2

J. A. Sethian, Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Material Science, 1996.

E. Hachem, Stabilized nite element method for heat transfer and turbulent ows inside industrial furnaces, 2009.
DOI : 10.1016/j.simpat.2012.07.013

M. Bernacki, Y. Chastel, T. Coupez, and R. Logé, Level set framework for the numerical modelling of primary recrystallization in polycrystalline materials, Scripta Materialia, vol.58, issue.12, pp.1129-1132, 2008.
DOI : 10.1016/j.scriptamat.2008.02.016
URL : https://hal.archives-ouvertes.fr/hal-00509731

K. Hitti, P. Laure, T. Coupez, L. Silva, and M. Bernacki, Fast generation of complex statistical Representative Elementary Volumes (REVs) in a nite element context, submitted to, Journal of Computational Physics, 2011.

K. Hitti, T. Coupez, L. Silva, and M. Bernacki, Generation of cellular Representative Volume Elements (RVEs) in a nite element (FE) context -application to foam compression, 20ème Congrès Français de Mécanique, 2011.

G. Puaux, L. Silva, P. Laure, M. Vincent, and T. Coupez, An immersed nite element method for permeability determination of a porous media, International Journal For Numerical Methods in Fluids, 2010.

L. J. Gibson and M. F. Ashby, Cellular Solids: Structure and Properties, second ed, 1997.
DOI : 10.1017/CBO9781139878326

C. S. Marchi and A. Mortensen, Deformation of open-cell aluminum foam, Acta Materialia, vol.49, issue.19, pp.3959-3969, 2001.
DOI : 10.1016/S1359-6454(01)00294-4

W. E. Warren and A. M. Kraynik, The Linear Elastic Properties of Open-Cell Foams, Journal of Applied Mechanics, vol.55, issue.2, p.341346, 1988.
DOI : 10.1115/1.3173680

W. E. Warren and A. M. Kraynik, Linear Elastic Behavior of a Low-Density Kelvin Foam With Open Cells, Journal of Applied Mechanics, vol.64, issue.4, p.787794, 1997.
DOI : 10.1115/1.2788983

H. X. Zhu, N. J. Mills, and J. F. Knott, Analysis of the high strain compression of open-cell foams, Journal of the Mechanics and Physics of Solids, vol.45, issue.11-12, pp.11-12, 1997.
DOI : 10.1016/S0022-5096(97)00027-6

A. Simone and L. Gibson, Effects of solid distribution on the stiffness and strength of metallic foams, Acta Materialia, vol.46, issue.6, pp.2139-2150, 1998.
DOI : 10.1016/S1359-6454(97)00421-7

C. W. Hirt, A. A. Amsden, and J. L. Cook, An arbitrary Lagrangian-Eulerian computing method for all flow speeds, Journal of Computational Physics, vol.14, issue.3, pp.227-253, 1974.
DOI : 10.1016/0021-9991(74)90051-5

T. J. Hughes, W. K. Liu, and T. K. Zimmermann, Lagrangian-Eulerian finite element formulation for incompressible viscous flows, Computer Methods in Applied Mechanics and Engineering, vol.29, issue.3, pp.329-349, 1981.
DOI : 10.1016/0045-7825(81)90049-9

D. J. Benson, An ecient, accurate, simple ALE method for nonlinear nite element programs, Computer Methods in Applied Mechanics and Engineering, vol.72, p.305350, 1989.

M. Souli, A. Ouahsine, and L. Lewin, Ale formulation for uid-structure interaction problems, Computer Methods in Applied Mechanics and Engineering, vol.190, pp.5-7, 2000.
DOI : 10.1016/s0045-7825(99)00432-6

R. Van-loon, P. D. Anderson, F. N. Van-de-vosse, and S. J. Sherwin, Comparison of various uid-structure interaction methods for deformable bodies, Comput. Struct, vol.85, p.833843, 2007.

J. F. Gerbeau and M. Vidrascu, A quasi-newton algorithm based on a reduced model for uid-structure interaction problems in blood ows, ESAIM: Mathematical Modelling and Numerical Analysis, vol.37, issue.04, p.631647, 2003.

C. Michler, E. H. Van-brummelen, and R. De-borst, An interface newton-krylov solver for uid-structure interaction, International Journal for Numerical Methods in Fluids, vol.47, issue.1011, p.11891195, 2005.
DOI : 10.1002/fld.850
URL : http://repository.tue.nl/656357

M. Fernández and M. Moubachir, A Newton method using exact jacobians for solving fluid???structure coupling, Computers & Structures, vol.83, issue.2-3, pp.127-142, 2005.
DOI : 10.1016/j.compstruc.2004.04.021

P. Causin, J. Gerbeau, and F. Nobile, Added-mass eect in the design of partitioned algorithms for uid-structure problems, Computer Methods in Applied Mechanics and Engineering, vol.194, pp.42-44, 2005.

C. S. Peskin, The immersed boundary method, Acta Numerica, vol.11, pp.479-517, 2002.

G. Papadakis, A novel pressure???velocity formulation and solution method for fluid???structure interaction problems, Journal of Computational Physics, vol.227, issue.6, pp.3383-3404, 2008.
DOI : 10.1016/j.jcp.2007.12.004

J. Bear, Dynamics of uids in porous media, 1972.

H. Darcy, Les fontaines publiques de la ville de Dijon, p.1856

P. C. Carman, L'écoulement des gaz à travers les milieux poreux, Institut National des Sciences et Techniques Nuléaires, 1961.

B. R. Gebart, Permeability of Unidirectional Reinforcements for RTM, Journal of Composite Materials, vol.7, issue.8, p.11001133, 1992.
DOI : 10.1177/002199839202600802

C. Hoareau, Injection sur renfort : Etude du remplissage de moule et détermination théorique de la perméabilité des tissus, 1994.

J. B. Keller, Viscous ow through a grating or lattice of cylinders, Journal of Fluid Mechanics, vol.18, p.9496, 1964.

A. Tamayol and M. Bahrami, Analytical determination of viscous permeability of brous porous media, International Journal of Heat and Mass Transfer, vol.52, p.24072414, 2009.

M. Nordlund and T. S. Lundström, Numerical Study of the Local Permeability of Noncrimp Fabrics, Journal of Composite Materials, vol.39, issue.10, p.929947, 2005.
DOI : 10.1177/0021998305048734

Y. Song and J. R. Youn, Asymptotic expansion homogenization of permeability tensor for plain woven fabrics, Composites Part A: Applied Science and Manufacturing, vol.37, issue.11, p.20802087, 2006.
DOI : 10.1016/j.compositesa.2005.12.002

C. L. Tucker, I. , and R. B. Dessenberger, Flow and Rheology in Polymer Composites Manufacturing, ch. Governing Equations for Flow and Heat Transfer in Stationary Fiber Beds, 1992.

T. Coupez, Génération de maillage et adaptation de maillage par optimisation locale, Revue européenne des éléments nis, p.403423, 2000.

C. Voivret, F. Radjaï, J. Delenne, and M. S. Youssou, 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

W. R. Hwang and M. A. Hulsen, Direct numerical simulations of hard particle suspensions in planar elongational ow, Journal of Non-Newtonian Fluid Mechanics, vol.136, p.167178, 2006.

H. L. Liu and W. R. Hwang, Transient lling simulations in unidirectional brous porous media, Korea-Australia Rheology Journal, vol.21, pp.71-79, 2009.

R. Al-raoush and M. Alsaleh, Simulation of random packing of polydisperse particles, Powder Technology, vol.176, issue.1, pp.47-55, 2007.
DOI : 10.1016/j.powtec.2007.02.007

D. He and N. N. Ekere, Computer simulation of powder compaction of spherical particles, Journal of Materails Science Letters, vol.17, p.17231725, 1998.

J. L. Finney, Volume occupation, environment, and accessibility in proteins. Environment and molecular area of RNase-S, Journal of Molecular Biology, vol.119, issue.3, pp.415-430, 1978.
DOI : 10.1016/0022-2836(78)90223-1

F. F. Mallory and B. N. Boots, Spatial distribution of lemming mats in the Canadian High Arctic, Canadian Journal of Zoology, vol.61, issue.1, pp.99-107, 1983.
DOI : 10.1139/z83-011

F. Aurenhammer, Power Diagrams: Properties, Algorithms and Applications, SIAM Journal on Computing, vol.16, issue.1, p.7896, 1987.
DOI : 10.1137/0216006

H. Imai, M. Iri, and K. Murota, Voronoi Diagram in the Laguerre Geometry and Its Applications, SIAM Journal on Computing, vol.14, issue.1, p.93105, 1985.
DOI : 10.1137/0214006

T. C. Hales, A proof of the Kepler conjecture, Annals of Mathematics, vol.162, issue.3, p.10651185, 2005.
DOI : 10.4007/annals.2005.162.1065

R. D. Kamien and A. J. Liu, Why is Random Close Packing Reproducible?, Physical Review Letters, vol.99, issue.15, p.155501, 2007.
DOI : 10.1103/PhysRevLett.99.155501
URL : http://arxiv.org/abs/cond-mat/0701343

X. Lin and T. T. Ng, A three-dimensional discrete element model using arrays of ellipsoids, G??otechnique, vol.47, issue.2, p.319329, 1997.
DOI : 10.1680/geot.1997.47.2.319

C. O. Sullivan, The Application of Discrete Element Modelling to Finite Deformation Problems in Geomechanics, 2002.

J. W. Evans, Random and cooperative sequential adsorption, Reviews of Modern Physics, vol.65, issue.4, p.12811304, 1993.
DOI : 10.1103/RevModPhys.65.1281

L. Cui and C. O. Sullivan, Analysis of a triangulation based approach for specimen generation for discrete element simulations, Granular Matter, vol.5, issue.3, p.135145, 2003.
DOI : 10.1007/s10035-003-0145-7

O. Häggström and R. Meester, Nearest neighbour and hard sphere models in continuum percolation, Random Structures and Algorithms, p.295315, 1996.

D. Stoyan, Models of random systems of non-intersecting spheres, Stochastics' 98, p.543547, 1998.

G. E. Box and M. E. Muller, A note on the generation of random normal deviates, The Annals of, Mathematical Statistics, vol.29, issue.2, p.610611, 1958.

T. Xu and M. Li, Topological and statistical properties of a constrained Voronoi tessellation, Philosophical Magazine, vol.134, issue.4, p.349374, 2009.
DOI : 10.1016/j.physa.2005.03.022

Z. Fan, Y. Wu, X. Zhao, and Y. Lu, Simulation of polycrystalline structure with Voronoi diagram in Laguerre geometry based on random closed packing of spheres, Computational Materials Science, vol.29, issue.3, pp.301-308, 2004.
DOI : 10.1016/j.commatsci.2003.10.006

N. R. Tao, Z. B. Wang, W. P. Tong, M. L. Sui, J. Lu et al., An investigation of surface nanocrystallization mechanism in Fe induced by surface mechanical attrition treatment, Acta Materialia, vol.50, issue.18, p.46034616, 2002.
DOI : 10.1016/S1359-6454(02)00310-5

A. Lewis and A. Geltmacher, Image-based modeling of the response of experimental 3D microstructures to mechanical loading, Scripta Materialia, vol.55, issue.1, pp.81-85, 2006.
DOI : 10.1016/j.scriptamat.2006.01.043

C. Gruau, Génération de métriques pour adaptation anisotrope de maillages, applications à la mise en forme des matériaux, 2004.

P. Schneider and D. Eberly, Geometric tools for computer graphics, 2003.

D. Glickenstein, A Monotonicity Property for Weighted Delaunay Triangulations, Discrete & Computational Geometry, vol.139, issue.3, p.651664, 2007.
DOI : 10.1007/s00454-007-9009-y

R. Almeida, R. Feijoo, A. Galeao, C. Padra, and R. Silva, Adaptive nite element computational uid dynamics using an anisotropic error estimator, Computer Methods in Applied Mechanics and Engineering, vol.182, p.379400, 2000.

Y. Mesri, W. Zerguine, H. Digonnet, L. Silva, and T. Coupez, Dynamic Parallel Adaption for Three Dimensional Unstructured Meshes: Application to Interface Tracking, Proceedings of the 17th International Meshing Roundtable, pp.195-212, 2008.
DOI : 10.1007/978-3-540-87921-3_12
URL : https://hal.archives-ouvertes.fr/hal-01466975

T. Coupez, H. Digonnet, and R. Ducloux, Parallel meshing and remeshing, Applied Mathematical Modelling, vol.25, issue.2, pp.153-175, 2000.
DOI : 10.1016/S0307-904X(00)00045-7
URL : https://hal.archives-ouvertes.fr/hal-00536635

K. Appel and W. Haken, Every planar map is four colorable, Bulletin of the American Mathematical Society, vol.82, issue.5, p.711712, 1976.
DOI : 10.1090/s0002-9904-1976-14122-5
URL : http://projecteuclid.org/download/pdf_1/euclid.bams/1183538218

D. Brélaz, New methods to color the vertices of a graph, Communications of the ACM, vol.22, issue.4, p.251256, 1979.
DOI : 10.1145/359094.359101

W. Jang, A. M. Kraynik, and S. Kyriakides, On the microstructure of open-cell foams and its effect on elastic properties, International Journal of Solids and Structures, vol.45, issue.7-8, pp.1845-1875, 2008.
DOI : 10.1016/j.ijsolstr.2007.10.008

N. Mills, The high strain mechanical response of the wet Kelvin model for open-cell foams, International Journal of Solids and Structures, vol.44, issue.1, pp.51-65, 2007.
DOI : 10.1016/j.ijsolstr.2006.04.014

N. J. Mills and H. X. Zhu, The high strain compression of closed-cell polymer foams, Journal of the Mechanics and Physics of Solids, vol.47, issue.3, p.669695, 1999.
DOI : 10.1016/S0022-5096(98)00007-6

J. Wismans, J. Van-dommelen, L. Govaert, and H. Meijer, X-ray computed tomography based modelling of polymer foams, Materials Science Forum, pp.638-642, 2010.

J. G. Wismans, L. E. Govaert, and J. A. Van-dommelen, X-ray computed tomography-based modeling of polymeric foams: The effect of finite element model size on the large strain response, Journal of Polymer Science Part B: Polymer Physics, vol.46, issue.13, p.15261534, 2010.
DOI : 10.1002/polb.22055

J. L. Zhang and Z. X. Lu, Numerical Modeling of the Compression Process of Elastic Open-cell Foams, Chinese Journal of Aeronautics, vol.20, issue.3, p.215222, 2007.
DOI : 10.1016/S1000-9361(07)60035-1

L. Franca, A. Nesliturk, and M. Stynes, On the stability of residual-free bubbles for convection diusion problems and their approximation by a two-level nite element method, Computer Methods in Applied Mechanics and Engineering, vol.166, p.3549, 1998.

D. Arnold, F. Brezzi, and M. Fortin, A stable nite element for the stokes equations , Calcolo, p.337344, 1984.

T. Coupez, Stable-stabilized nite element for 3d forming calculation, 1996.

N. Mills, R. Stämpi, F. Marone, and P. Brühwiler, Finite element micromechanics model of impact compression of closed-cell polymer foams, International Journal of Solids and Structures, vol.46, issue.3-4, pp.3-4, 2009.
DOI : 10.1016/j.ijsolstr.2008.09.012

K. M. Pillai, Governing equations for unsaturated ow through woven ber mats, Composites Part A: Applied Science and Manufacturing, vol.33, issue.7, p.10071019, 2002.

S. Whitaker, The Method of Volume Averaging of Theory and Applications of Transport in Porous Media, 1999.

B. Ripley, Modelling spatial patterns, Journal of the Royal Statistical Society. Series B, vol.39, issue.2, p.172212, 1977.

B. Ripley, Spatial Statistics, 1981.
DOI : 10.1002/0471725218

F. Goreaud and R. Pélissier, On explicit formulas of edge eect correction for Ripley's K-function, Journal of Vegetation Science, vol.10, p.433438, 1999.

P. J. Diggle, Statistical Analysis of Spatial Point Patterns, 2003.