M. Bornert, T. Bretheau, and P. Gilormini, Homogénéisation en mécanique des matériaux, Matériaux aléatoires élastiques et milieux périodiques. Hermes science, vol.1, 2001.

C. Huet, Application of variational concepts to size effects in elastic heterogeneous bodies, Journal of the Mechanics and Physics of Solids, vol.38, issue.6, pp.813-841, 1990.

T. Kanit, S. Forest, I. Galliet, V. Mounoury, and D. Jeulin, Determination of the size of the representative volume element for random composites : statistical and numerical approach, International Journal of Solids and Structures, vol.40, issue.13, pp.3647-3679, 2003.

W. Voigt, Ueber die beziehung zwischen den beiden elasticitätsconstanten isotroper körper, Annalen der Physik, vol.274, issue.12, pp.573-587, 1889.

A. Reuss, Berechnung der fließgrenze von mischkristallen auf grund der plastizitätsbedingung für einkristalle, ZAMM -Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, vol.9, issue.1, pp.49-58, 1929.

O. Wiener, Die theorie des mischkorpers fur das feld der statonaren stromung. i. die mittelwertsatze fur kraft, polarisation and energie, der abhandlungen der mathematisch-physischen klasse der konigl, Sachsischen Gesellschaft der Wissenschaften, vol.32, pp.509-604, 1912.

Z. Hashin and S. Shtrikman, A variational approach to the theory of the elastic behaviour of multiphase materials, Journal of the Mechanics and Physics of Solids, vol.11, issue.2, pp.127-140, 1963.

J. D. Eshelby, The determination of the elastic field of an ellipsoidal inclusion, and related problems, Proceedings of the Royal Society of London A : Mathematical, Physical and Engineering Sciences, pp.376-396, 1226.

B. Widom, Random sequential addition of hard spheres to a volume, The Journal of Chemical Physics, vol.44, issue.10, pp.3888-3894, 1965.

J. Feder, Random sequential adsorption, Journal of Theoretical Biology, vol.87, issue.2, pp.237-254, 1980.

A. A. Gusev, Representative volume element size for elastic composites : A numerical study, Journal of the Mechanics and Physics of Solids, vol.45, issue.9, pp.1449-1459, 1997.

J. C. Michel, H. Moulinec, and P. Suquet, Effective properties of composite materials with periodic microstructure : a computational approach, Computer Methods in Applied Mechanics and Engineering, vol.172, issue.1, pp.109-143, 1999.

H. Böhm, W. Eckschlager, and . Han, Multi-inclusion unit cell models for metal matrix composites with randomly oriented discontinuous reinforcements, Computational Materials Science, vol.25, issue.1-2, pp.42-53, 2002.

J. Segurado and J. Llorca, A numerical approximation to the elastic properties of sphere-reinforced composites, Journal of the Mechanics and Physics of Solids, vol.50, issue.10, pp.2107-2121, 2002.

H. Sreedhar-kari, R. Berger, U. Rodriguez-ramos, and . Gabbert, Computational evaluation of effective material properties of composites reinforced by randomly distributed spherical particles, Composite Structures, vol.77, issue.2, pp.223-231, 2007.

L. Brassart, I. Doghri, and L. Delannay, Homogenization of elasto-plastic composites coupled with a nonlinear finite element analysis of the equivalent inclusion problem, International Journal of Solids and Structures, vol.47, issue.5, pp.716-729, 2010.

F. Di and P. , Multi-scale modeling of the thermo-mechanical behavior of particle-based composites, 2010.
URL : https://hal.archives-ouvertes.fr/tel-00554736

A. Rasool, J. Helmut, and . Böhm, Effects of particle shape on the macroscopic and microscopic linear behaviors of particle reinforced composites, International Journal of Engineering Science, vol.58, pp.21-34, 2012.

S. Tu, W. Cai, Y. Yin, and X. Ling, Numerical simulation of saturation behavior of physical properties in composites with randomly distributed second-phase, Journal of Composite Materials, vol.39, issue.7, pp.617-631, 2005.

A. Lin and S. Han, On the distance between two ellipsoids, SIAM Journal on Optimization, vol.13, issue.1, pp.298-308, 2003.

O. Pierard, C. Gonzàlez, J. Segurado, J. Llorca, and I. Doghri, Micromechanics of elasto-plastic materials reinforced with ellipsoidal inclusions, International Journal of Solids and Structures, vol.44, issue.21, pp.6945-6962, 2007.

K. Schneider, B. Klusemann, and S. Bargmann, Automatic three-dimensional geometry and mesh generation of periodic representative volume elements for matrix-inclusion composites, Advances in Engineering Software, vol.99, pp.177-188, 2016.

S. Kari, H. Berger, and U. Gabbert, Numerical evaluation of effective material properties of randomly distributed short cylindrical fibre composites, Proceedings of the 15th International Workshop on Computational Mechanics of Materials, vol.39, pp.198-204, 2007.

J. H. Wook-jin-lee, . Son, M. Ik, J. Park, H. Oak et al., Analysis of 3d random al18b4o33 whisker reinforced mg composite using FEM and random sequential adsorption, MATERIALS TRAN-SACTIONS, vol.51, issue.6, pp.1089-1093, 2010.

W. Tian, L. Qi, J. Zhou, J. Liang, and Y. Ma, Representative volume element for composites reinforced by spatially randomly distributed discontinuous fibers and its applications, Composite Structures, vol.131, pp.366-373, 2015.

X. Wang, M. Zhang, and A. P. Jivkov, Computational technology for analysis of 3d meso-structure effects on damage and failure of concrete, International Journal of Solids and Structures, vol.80, pp.310-333, 2016.

T. Hales, M. Adams, G. Bauer, T. D. Dang, J. Harrison et al., Forum of Mathematics, Pi, issue.5, 2017.

D. W. Cooper, Random-sequential-packing simulations in three dimensions for spheres, Physical Review A, vol.38, issue.1, pp.522-524, 1988.

J. Sherwood, Packing of spheroids in three-dimensional space by random sequential addition, Journal of Physics A : Mathematical and General, vol.30, issue.24, p.839, 1997.

B. D. Lubachevsky, How to simulate billiards and similar systems, Journal of Computational Physics, vol.94, issue.2, pp.255-283, 1991.

B. D. Lubachevsky, F. H. Stillinger, and E. N. Pinson, Disks vs. spheres : Contrasting properties of random packings, Journal of Statistical Physics, vol.64, issue.3, pp.501-524, 1991.

A. Donev, S. Torquato, and F. H. Stillinger, Neighbor list collision-driven molecular dynamics simulation for nonspherical hard particles. i. algorithmic details, Journal of Computational Physics, vol.202, issue.2, pp.737-764, 2005.

A. Donev, S. Torquato, and F. H. Stillinger, Neighbor list collision-driven molecular dynamics simulation for nonspherical hard particles. : Ii. applications to ellipses and ellipsoids, Journal of Computational Physics, vol.202, issue.2, pp.765-793, 2005.

P. Tanh-hùng, J. Férec, V. Picandet, and P. Pilvin, Etude expérimentale, théorique et numérique de l'élasticité de composites chaux-chanvre, 21 ème Congrès Français de Mécanique, vol.01, p.2013

B. Vincent-mirtich, Impulse-based Dynamic Simulation of Rigid Body Systems, 1996.

J. Lloyd, Fast implementation of lemke's algorithm for rigid body contact simulation, Proceedings of the 2005 IEEE International Conference on Robotics and Automation, pp.4538-4543, 2005.

V. Acary and B. Brogliato, Numerical Methods for Nonsmooth Dynamical Systems : Applications in Mechanics and Electronics, Lecture Notes in Applied and Computational Mechanics, vol.35, 2008.
URL : https://hal.archives-ouvertes.fr/inria-00423530

D. Stewart and . Trinkle, Implicit time-stepping scheme for rigid body dynamics with coulomb friction, vol.1, pp.162-169, 2000.

P. Chrono, Chrono : An Open Source Framework for the Physics-Based Simulation of Dynamic Systems

Y. Pan, L. Iorga, and A. A. Pelegri, Analysis of 3d random chopped fiber reinforced composites using fem and random sequential adsorption, Computational Materials Science, vol.43, issue.3, pp.450-461, 2008.

A. E. Moumen, T. Kanit, A. Imad, and H. E. Minor, Effect of reinforcement shape on physical properties and representative volume element of particles-reinforced composites : Statistical and numerical approaches, Mechanics of Materials, vol.83, pp.1-16, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01112981

F. Willot, Fourier-based schemes for computing the mechanical response of composites with accurate local fields, Comptes Rendus Mécanique, vol.343, issue.3, pp.232-245, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01096757

L. Gélébart and J. Derouillat, AMITEX_FFTP -Simulations FFT massivement parallèles en mécanique des matériaux hétérogènes, 13e colloque national en calcul des structures, 2017.

H. Moulinec and P. Suquet, A numerical method for computing the overall response of nonlinear composites with complex microstructure, Computer Methods in Applied Mechanics and Engineering, vol.157, issue.1, pp.69-94, 1998.
URL : https://hal.archives-ouvertes.fr/hal-01282728

G. Dhatt and G. Touzot, Présentation de la Methode des Elements Finis, 1981.

J. Batoz and G. Dhatt, Modélisation des structures par éléments finis, 1990.

A. Ian, H. Stroud, and . Nagy, How Objects Are Modelled, pp.65-106, 2011.

M. E. Mortenson, Geometric Modeling, 2006.

F. Kimura, Geometric modelling : theoretical and computational basis towards advanced CAD applications : IFIP TC5/WG5.2 Sixth International Workshop on Geometric Modelling, 1998.

. Solidworks, , 2019.

V. Francois and J. C. Cuilliere, Automatic mesh pre-optimization based on the geometric discretization error, Advances in Engineering Software, vol.31, issue.10, pp.763-774, 2000.

J. Cuillière, V. François, and R. Lacroix, A new approach to automatic and a priori mesh adaptation around circular holes for finite element analysis, Computer-Aided Design, vol.77, pp.18-45, 2016.

J. , C. Cuillière, and V. Francois, Towards quantitative mesh preoptimization for finite element analysis, Computer-Aided Design and Applications, vol.14, issue.4, pp.392-407, 2016.

T. Grätsch and K. Bathe, A posteriori error estimation techniques in practical finite element analysis, Computers & Structures, vol.83, issue.4-5, pp.235-265, 2005.

J. Pascal, L. Frey, and . Marechal, Fast adaptive quadtree mesh generation, Proceedings of the 7th International Meshing Roundtable, 2000.

J. Pascal, P. Frey, and . George, Mesh Generation : Application to Finite Elements. ISTE, 2007.

F. Hermeline, Triangulation automatique d'un polyèdre en dimension n, ESAIM : Mathematical Modelling and Numerical Analysis -Modélisation Mathématique et Analyse Numérique, vol.16, issue.3, pp.211-242, 1982.

P. Fleischmann and S. Selberherr, Three-dimensional delaunay mesh generation using a modified advancing front approach, vol.12, 1999.

A. Rassineux, Maillage automatique tridimensionnel par une méthode frontale pour la méthode des éléments finis, Michel Mécanique Énergétique Nancy, vol.1, 1995.

Y. Ito, A. M. Shih, and B. K. Soni, Reliable isotropic tetrahedral mesh generation based on an advancing front method, IMR, 2004.

G. Foucault, J. Cuillière, V. François, J. Léon, and R. Maranzana, Generalizing the advancing front method to composite surfaces in the context of meshing constraints topology, Computer-Aided Design, vol.45, issue.11, pp.1408-1425, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00849780

. Jc-cuillière, An adaptive method for the automatic triangulation of 3d parametric surfaces, Computer-Aided Design, vol.30, issue.2, pp.139-149, 1998.

V. François and J. Cuillière, An a Priori Adaptive 3D Advancing Front Mesh Generator Integrated to Solid Modeling, vol.01, 2003.

V. François, Méthodes de maillage et de remaillage automatiques appliquées à la modification de modèle dans le contexte de l'ingenierie simultanée, vol.01, 1998.

J. , C. Cuillière, and V. Francois, Integration of cad, fea and topology optimization through a unified topological model, Computer-Aided Design and Applications, vol.11, issue.5, pp.493-508, 2014.

J. C. Cuillière and R. Maranzana, Automatic and a priori refinement of threedimensional meshes based on feature recognition techniques, Advances in Engineering Software, vol.30, pp.563-573, 1999.

J. Cuillière and V. François, Automatic comparison and remeshing applied to cad model modification, Computer-Aided Design, vol.43, issue.12, pp.1545-1560, 2011.

, Open Cascade S.A.S. Open cascade technology. www.opencascade.com, 2018.

C. Geuzaine and J. Remacle, Gmsh : A 3-d finite element mesh generator with built-in pre-and post-processing facilities, International Journal for Numerical Methods in Engineering, vol.79, issue.11, pp.1309-1331

A. Tasora, R. Serban, H. Mazhar, A. Pazouki, D. Melanz et al., Chrono : An open source multi-physics dynamics engine, High Performance Computing in Science and Engineering -Lecture Notes in Computer Science, pp.19-49, 2016.

G. Suresh, C. L. Advani, and . Tucker, The use of tensors to describe and predict fiber orientation in short fiber composites, Journal of Rheology, vol.31, issue.8, pp.751-784, 1987.

P. George and H. Borouchaki, Construction de maillages de degré 2-Partie 3 : Tétraèdre P2, INRIA, 2011.

M. Turner, J. Peiró, and D. Moxey, Curvilinear mesh generation using a variational framework, 25th International Meshing Roundtable Special Issue : Advances in Mesh Generation, vol.103, pp.73-91, 2018.

A. Johnen, C. Geuzaine, T. Toulorge, and J. Remacle, Efficient computation of the minimum of shape quality measures on curvilinear finite elements, 25th International Meshing Roundtable Special Issue : Advances in Mesh Generation, vol.103, pp.24-33, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01784552

T. Toulorge, C. Geuzaine, J. Remacle, and J. Lambrechts, Robust untangling of curvilinear meshes, Journal of Computational Physics, vol.254, pp.8-26, 2013.

F. Électricité-de, Solveur éléments finis Code_Aster, 2019.

P. Tanh-hùng, Modélisation multi-échelles des propriétés thermiques et élastiques de composites chaux-chanvre, 2014.

. Tai-thu-nguyen, Contribution à l'étude de la formulation et du procédé de fabrication d'éléments de construction en béton de chanvre, 2010.

D. E. Francesco, . Ponte, and K. Sorïn, Conductivité thermique des isolants. Techniques de l'ingénieur Mesure des grandeurs thermophysiques, 2002.

P. Carré and L. Gall, Définition et détermination des conductivités thermiques dans les structures multicouches cvr-balsa, p.340, 1990.

T. T. Nguyen, V. Picandet, P. Carré, T. Lecompte, A. Sofiane et al., Effect of compaction on mechanical and thermal properties of hemp concrete, European Journal of Environmental and Civil Engineering, vol.14, issue.5, pp.545-560, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00494115

L. Lance, T. Snead, Y. Nozawa, T. Katoh, S. Byun et al., Handbook of sic properties for fuel performance modeling, Nuclear Fuels and Structural Materials, vol.371, issue.1, pp.329-377, 2007.

R. Quey, P. R. Dawson, and F. Barbe, Large-scale 3d random polycrystals for the finite element method : Generation, meshing and remeshing, Computer Methods in Applied Mechanics and Engineering, vol.200, issue.17, pp.1729-1745, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00858028

C. Berdin, S. Zhao-yue-yao, and . Pascal, Internal stresses in polycrystalline zirconia : Microstructure effects, Computational Materials Science, vol.70, pp.140-144, 2013.

E. Héripré, M. Dexet, J. Crépin, L. Gélébart, A. Roos et al., Coupling between experimental measurements and polycrystal finite element calculations for micromechanical study of metallic materials, International Journal of Plasticity, vol.23, issue.9, pp.1512-1539, 2007.

S. Bargmann, B. Klusemann, J. Markmann, J. E. Schnabel, K. Schneider et al., Generation of 3d representative volume elements for heterogeneous materials : A review, Progress in Materials Science, vol.96, pp.322-384, 2018.

P. Nadeau, J. C. Cuillière-ph, V. Pilvin, A. François, and . Couture, Outils cao pour le calcul de l'homogénéisation des matériaux composites et des polycristaux, 14e colloque national en calcul des structures, 2018.

O. Dmitrochenko, Finite elements using absolute nodal coordinates for largedeformation flexible multibody dynamics, Proceedings of the Third International Conference on Advanced Computational Methods in Engineering, vol.215, pp.368-377, 2005.

D. Melanz, A rigid sphere is dropped on a 10x10 array of ancf beam elements that are fixed at one end

D. Melanz, Several ancf beam elements are dropped on the ground

. Bibliographie,

J. Z. Zhu and O. C. Zienkiewicz, Adaptive techniques in the finite element method, Communications in Applied Numerical Methods, vol.4, issue.2, pp.197-204

R. Verfürth, A posteriori error estimation and adaptive mesh-refinement techniques, Journal of Computational and Applied Mathematics, vol.50, issue.1, pp.67-83, 1994.

T. Parenteau, E. Bertevas, G. Ausias, R. Stocek, Y. Grohens et al., Characterisation and micromechanical modelling of the elasto-viscoplastic behavior of thermoplastic elastomers, Mechanics of Materials, vol.71, pp.114-125, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00986998

L. Gélébart and R. Mondon-cancel, Non-linear extension of fft-based methods accelerated by conjugate gradients to evaluate the mechanical behavior of composite materials, Computational Materials Science, vol.77, pp.430-439, 2013.

, Nom_groupe_inclusion = Particule //Nom du groupe d'inclusion (Ex: Particule) sans intersections

, Avec_interface_graphique = 0 //Avec l

, Porosite = 0 //Considerer l'inclusion comme etant une porosite (vide