3 ? La réalisation d'un empilement à partir d'une tomographie maillée d'une céramique poreuse . Les porosités macroscopiques sont réalisées à l'aide d'agents porogènes, les porosités microscopiques sont dues à l'agencement des particules entre elles A) Image d'une céramique poreuse réalisée sous le logiciel MGPOST B) Le maillage réalisé à partir de la tomographie d'une céramique poreuse. C) L'empilement de sphères en contact réalisé via le maillage éléments finis de la tomographie ,
partir de la microstructure scannée, d'aboutir à un empilement de sphères avec des propriétés afin que la porosité microscopique soit respectée entre l'échantillon numérique et la céramique Pour réaliser l'exemple présentée en figure F.3-B il a été nécessaire de récupérer le maillage d'une tomographie (voir la Fig. F.3-B), puis d'exécuter l'algorithme géométrique développé à partir de ce maillage en indiquant la compacité la plus faible et les zones de compacités plus élevées. Pour poursuivre l'étude sur la fissuration de ces biomatériaux, une fois que l'empilement numérique de sphères est généré (voir la Fig, la calibration d'une loi de contact élastique cohésive via différentes sortes d'essais simples devra être faite ,
Internal states of model isotropic granular packings. III. Elastic properties, Physical Review E, vol.76, issue.6, p.76061304, 2007. ,
DOI : 10.1103/PhysRevE.76.061304
URL : https://hal.archives-ouvertes.fr/hal-00148554
Effet de paroi dans les empilements d??sordonn??s de sph??res et application ?? la porosit?? de m??langes binaires, Powder Technology, vol.1, issue.5, pp.281-290, 1967. ,
DOI : 10.1016/0032-5910(68)80006-3
The yield behaviour of metal powders, International Journal of Mechanical Sciences, vol.39, issue.12, pp.1315-1324, 1997. ,
DOI : 10.1016/S0020-7403(97)00018-0
Caractérisation, modélisation et simulation numérique de la mise en forme de pièces par compression et frittage de poudres dures, 2001. ,
On the representation of random packings of spheres for sintering simulations, Acta Metallurgica et Materialia, vol.43, issue.10, pp.3873-3884, 1994. ,
DOI : 10.1016/0956-7151(95)90170-1
Finite Element Simulation and Experimental Validation for Multilevel Powder Compact, Powder Metallurgy, vol.23, issue.3, pp.189-197, 1998. ,
DOI : 10.1016/0890-6955(94)90010-8
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
Engineering materials 1-An introduction to their properties and applications, 1998. ,
C-language program for the irregular close packing of hard spheres, Computer Physics Communications, vol.64, issue.1, pp.183-192, 1991. ,
DOI : 10.1016/0010-4655(91)90060-X
Packing fraction and measures of disorder of ultradense irregular packings of equal spheres. I. Nearly ordered packing, Advanced Powder Technology, vol.4, issue.2, pp.79-101, 1993. ,
DOI : 10.1163/156855293X00097
The Spot Model for random-packing dynamics, Advances in Disordered Materials, pp.717-731, 2006. ,
DOI : 10.1016/j.mechmat.2005.06.016
Packing of Spheres: Co-ordination of Randomly Packed Spheres, Nature, vol.185, issue.4754, pp.910-911, 1960. ,
DOI : 10.1038/188910a0
Random close packing of hard spheres and disks, Physical Review A, vol.27, issue.2, p.105361061, 1983. ,
DOI : 10.1103/PhysRevA.27.1053
THE FRACTAL DIMENSION OF THE APOLLONIAN SPHERE PACKING, Fractals, vol.02, issue.04, pp.521-526, 1994. ,
DOI : 10.1142/S0218348X94000739
Modelling of hot isostatic pressing: A new formulation using random variables, Acta Metallurgica, vol.35, issue.9, pp.2323-2328, 1987. ,
DOI : 10.1016/0001-6160(87)90080-0
Appropriate yield functions for metal powder compaction, Scripta Metallurgica et Materialia, pp.11-16, 1992. ,
DOI : 10.1016/0956-716X(93)90529-2
Micromécanique des matériaux granulaires, 2001. ,
Coupling the spectral element method with a modal solution for elastic wave propagation in global earth models, Geophysical Journal International, vol.152, issue.1, pp.34-67, 2003. ,
DOI : 10.1046/j.1365-246X.2003.01808.x
URL : https://hal.archives-ouvertes.fr/insu-01400199
Elastic properties of compacted metal powders, Journal of Materials Science, vol.33, issue.18, pp.4647-4655, 2003. ,
DOI : 10.1023/A:1004445527430
MODélisation du comportement d'ouvrages composites sol géosynthétique par éléments discrets, Thèse de doctorat, 2003. ,
Contribution à la modelisation de la compression des poudres par une methode d'élements discrets maillés, 2008. ,
Densification of granular packing: Experiment and simulation using meshed discrete particules, Proceedings European powder metallurgy, pp.355-360, 2007. ,
Experiment and simulation using meshed discrete particles. comparison for compaction of 3d irregular randomly packed particles, EURO PM, pp.139-144, 2008. ,
Numerical simulation of cold compaction of 3d granular packings, Materials Science, issue.1, pp.534-536301, 2007. ,
Modeling of the metal powder compaction process using the cap model. Part II: Numerical implementation and practical applications, International Journal of Solids and Structures, vol.39, issue.4, pp.1077-1096, 2002. ,
DOI : 10.1016/S0020-7683(01)00256-6
Modelling and numerical simulation of powder die compaction with consideration of cracking. These, 1998. ,
Numerical simulation of metal powder die compaction with special consideration of cracking, Powder Metallurgy, vol.5, issue.203, pp.123-131, 2000. ,
DOI : 10.2497/jjspm.22.257
Analysis of a triangulation based approach for specimen generation for discrete element simulations, Granular Matter, vol.5, issue.3, pp.135-145, 2003. ,
DOI : 10.1007/s10035-003-0145-7
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
Fracture of Ceramics, Advanced Engineering Materials, vol.290, issue.493, pp.275-298, 2008. ,
DOI : 10.1002/adem.200700347
Sur la sphère vide, Izvestia Akademii Nauk SSSR, vol.7, pp.793-800, 1934. ,
Numerical modeling of particle deformation, Proceedings Hot Isostatic Pressing '93, 1994. ,
Formulation of a 3-D numerical model of brittle behaviour, Geophysical Journal International, vol.122, issue.3, pp.790-802, 1995. ,
DOI : 10.1111/j.1365-246X.1995.tb06838.x
Advances in discrete element method applied to soil, rock and concrete mechanics, Electronic Journal of Geotechnical Engineering, p.44, 2009. ,
Investigation of iron powder friction on tungsten carbide tool wall, Powder Metallurgy, vol.12, issue.4, pp.243-247, 2001. ,
DOI : 10.1179/003258900665880
A definition of stable inelastic material, Journal of Applied Mechanics, vol.26, pp.101-106, 1959. ,
Soil mechanics and plastic analysis or limit design, Quarterly of Applied Mathematics, vol.10, issue.2, pp.157-175, 1952. ,
DOI : 10.1090/qam/48291
A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites, Journal of the Mechanics and Physics of Solids, vol.44, issue.4, pp.497-524, 1996. ,
DOI : 10.1016/0022-5096(96)00007-5
Lmgc90 une plateforme de développement dédiée à la modélisation des problèmes d'interaction, 6ème colloque national en calcul des structures, pp.111-118, 2003. ,
An implementation of granular dynamics for simulating frictional elastic particles based on the DL_POLY code, Computer Physics Communications, vol.166, issue.1, pp.26-44, 2005. ,
DOI : 10.1016/j.cpc.2004.10.006
Considerations of Inhomogeneity Effects in Sintering, Journal of the American Ceramic Society, vol.65, issue.3, pp.497-501, 1982. ,
DOI : 10.1016/0001-6160(79)90044-0
Filling domains with disks: an advancing front approach, International Journal for Numerical Methods in Engineering, vol.55, issue.5, pp.699-731, 2003. ,
DOI : 10.1002/nme.583
Particle Deformation and Sliding During Compaction of Spherical Powders: A Study by Quantitative Metallography, Powder Metallurgy, vol.1974, issue.3, pp.179-187, 1978. ,
DOI : 10.1063/1.1736107
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
Yielding of metal powder bonded by isolated contacts, Journal of the Mechanics and Physics of Solids, vol.40, issue.5, pp.1139-1162, 1992. ,
DOI : 10.1016/0022-5096(92)90064-9
Modélisation et simulation numérique de la compression en matrice de poudres métalliques, 2002. ,
(pm-modnet computer modelling group) state of the art review : Comparison of computer models representing powder compaction process, Powder Metallurgy, vol.42, pp.301-311, 1999. ,
(pm-modnet computer modelling group) numerical simulation of powder compaction for two multilevel ferrous parts, including powder characterisation and experimental validation, Powder Metallurgy, vol.45, pp.335-343, 2002. ,
An efficient finite/discrete element procedure for simulating compression of 3D particle assemblies, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.49-50, pp.49-504266, 2008. ,
DOI : 10.1016/j.cma.2008.05.002
3-D random packing of polydisperse particles and concrete aggregate grading, Powder Technology, vol.133, issue.1-3, pp.147-155, 2003. ,
DOI : 10.1016/S0032-5910(03)00082-2
A contact searching algorithm for contact-impact problems, Acta Mechanica Sinica, vol.72, issue.1???3, pp.374-382, 2000. ,
DOI : 10.1007/BF02487690
Improvements on Delaunay-based three-dimensional automatic mesh generator, Finite Elements in Analysis and Design, vol.25, issue.3-4, pp.297-317, 1997. ,
DOI : 10.1016/S0168-874X(96)00063-7
Calculation of protein volumes: An alternative to the Voronoi procedure, Journal of Molecular Biology, vol.161, issue.2, pp.305-322, 1982. ,
DOI : 10.1016/0022-2836(82)90155-3
Powder Metallurgy Science. Second Edition, Metal Powder Industries Federation, 105 College Rd. East, pp.8540-6692, 1994. ,
On delaunay-based three dimensional automatic mesh generator, Finite Elements Anal Des, vol.25, pp.297-317, 1997. ,
Compaction and Ejection of Green Powder Compacts, Powder Metallurgy, vol.23, issue.2, pp.42-52, 1994. ,
DOI : 10.1016/0020-7403(86)90007-X
Numerical comparison of a deformable discrete element model and an equivalent continuum analysis for the compaction of ductile porous material, Computers & Structures, vol.79, issue.13, pp.791287-1294, 2001. ,
DOI : 10.1016/S0045-7949(01)00015-3
A two dimensional combined discrete and finite element scheme for simulating the flow and compaction of systems comprising irregular particulates, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.41-43, pp.41-435552, 2006. ,
DOI : 10.1016/j.cma.2005.10.025
Gmsh: A three-dimensional ¯nite element mesh generator with built-in pre-and post-processing facilities, Finite Elements Anal Des, vol.1, issue.1, 2002. ,
S??gr??gation de phases dans les ??coulements de polym??res fondus charg??s en poudres m??talliques, M??canique & Industries, vol.5, issue.4, pp.429-440, 2004. ,
DOI : 10.1051/meca:2004043
LS-DYNA3D : Theoretical manual, 1997. ,
Utilisation des éléments finis pour l'étude d'un contact local: application à la métode des éléments discrets, 2007. ,
Modelling of high-density compaction of granular materials by the discrete element method, International Journal of Solids and Structures, 2009. ,
Analysis of Composite Materials???A Survey, Journal of Applied Mechanics, vol.50, issue.3, pp.481-505, 1983. ,
DOI : 10.1115/1.3167081
Modélisation d'une structure en Béton armé soumise à un choc par la méthode des éléments discrets. These, 2003. ,
A Theoretical Study of the Brinell Hardness Test, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.423, issue.1865, pp.301-330, 1989. ,
DOI : 10.1098/rspa.1989.0056
The non-smooth contact dynamics method, Computer Methods in Applied Mechanics and Engineering, vol.177, issue.3-4, pp.3-4235, 1999. ,
DOI : 10.1016/S0045-7825(98)00383-1
URL : https://hal.archives-ouvertes.fr/hal-01390459
A geometric algorithm based on tetrahedral meshes to generate a dense polydisperse sphere packing, Granular Matter, vol.63, issue.108, pp.43-52, 2009. ,
DOI : 10.1007/s10035-008-0116-0
Packing spherical discrete elements for large scale simulations, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.25-28, 2009. ,
DOI : 10.1016/j.cma.2010.01.016
An efficient technique for generating homogeneous specimens for DEM studies, Computers and Geotechnics, vol.30, issue.7, pp.579-597, 2003. ,
DOI : 10.1016/S0266-352X(03)00064-8
Computer simulation of close random packing of equal spheres, Physical Review A, vol.32, issue.4, pp.2347-2351, 1985. ,
DOI : 10.1103/PhysRevA.32.2347
Modelling and numerical investigation of the residual stress state in a green metal powder body, Powder Technology, vol.155, issue.3, pp.196-208, 2005. ,
DOI : 10.1016/j.powtec.2005.05.056
Computer simulations of steepest descent ballistic deposition, Colloids and Surfaces A: Physicochemical and Engineering Aspects, vol.165, issue.1-3, pp.405-422, 2000. ,
DOI : 10.1016/S0927-7757(99)00445-8
Investigation of the density characteristics of threedimensional stochastic packs of spherical particles using a computer model, Powder Metallurgy and Metal Ceramics, vol.40, issue.5/6, pp.229-235, 2001. ,
DOI : 10.1023/A:1012893113593
Computer generation of dense polydisperse sphere packings, The Journal of Chemical Physics, vol.117, issue.18, pp.8212-8218, 2002. ,
DOI : 10.1063/1.1511510
A new open-source software developped for numerical simulations using discrete modeling methods, Computer Methods in Applied Mechanics and Engineering, 2008. ,
YADE???OPEN DEM: an open???source software using a discrete element method to simulate granular material, Engineering Computations, vol.26, issue.7, 2008. ,
DOI : 10.1108/02644400910985170
Near net shape production of monolithic and composite high temperature ceramics by hot isostatic pressing (HIP), Journal of the European Ceramic Society, vol.19, issue.13-14, pp.2367-2373, 1999. ,
DOI : 10.1016/S0955-2219(99)00109-0
Analysis of cold and hot isostatic compaction of spherical particles, Acta Materialia, vol.44, issue.9, pp.3655-3666, 1996. ,
DOI : 10.1016/1359-6454(96)00003-1
Asm Handbook: Powder Metal Technologies and Applications, 1998. ,
A combined finite-discrete element method for simulating pharmaceutical powder tableting, International Journal for Numerical Methods in Engineering, vol.21, issue.7, pp.853-869, 2005. ,
DOI : 10.1002/nme.1287
Dynamic simulation of powder compact by random packing of monosized and polydisperse particles, Journal of Materials Science Letters, vol.19, issue.10, pp.841-843, 2000. ,
DOI : 10.1023/A:1006721011545
Geometric properties of random disk packings, Journal of Statistical Physics, vol.58, issue.1, pp.561-583, 1990. ,
DOI : 10.1007/BF01025983
Micro???macro transition for anisotropic, frictional granular packings, International Journal of Solids and Structures, vol.41, issue.21, pp.5821-5836, 2004. ,
DOI : 10.1016/j.ijsolstr.2004.05.048
Mechanical Packing of Spherical Particles, Journal of the American Ceramic Society, vol.13, issue.10, pp.513-522, 1961. ,
DOI : 10.1021/ie50261a017
Elasticity, fracture and yielding of cold compacted metal powders, Journal of the Mechanics and Physics of Solids, vol.52, issue.8, pp.1691-1717, 2004. ,
DOI : 10.1016/j.jmps.2004.03.004
Study of the cold compaction of composite powders by the discrete element method, Acta Materialia, vol.51, issue.2, pp.373-386, 2003. ,
DOI : 10.1016/S1359-6454(02)00402-0
Isostatic compaction of bimodal powder mixtures and composites, International Journal of Mechanical Sciences, vol.46, issue.6, pp.907-927, 2004. ,
DOI : 10.1016/j.ijmecsci.2004.05.012
Study of particle rearrangement during powder compaction by the Discrete Element Method, Journal of the Mechanics and Physics of Solids, vol.51, issue.4, pp.667-693, 2003. ,
DOI : 10.1016/S0022-5096(02)00101-1
Frictionless indentation of dissimilar elastic???plastic spheres, International Journal of Solids and Structures, vol.37, issue.46-47, pp.46-477071, 2000. ,
DOI : 10.1016/S0020-7683(99)00328-5
Effect of microstructure of particle reinforced composites on the damage evolution: probabilistic and numerical analysis, Composites Science and Technology, vol.64, issue.12, pp.1805-1818, 2004. ,
DOI : 10.1016/j.compscitech.2004.01.013
Computer modelling group, Powder Metall.urgy, vol.42, issue.4, pp.301-311, 1999. ,
Numerically packing spheres in cylinders, Powder Technology, vol.159, issue.2, pp.105-110, 2004. ,
DOI : 10.1016/j.powtec.2005.06.002
Compaction of an array of spherical particles, Acta Metallurgica et Materialia, vol.43, issue.2, pp.603-620, 1995. ,
DOI : 10.1016/0956-7151(94)00286-Q
Etudes des corrélations structure-propriétés dans les milieux granulaires modèles, Thèse de doctorat, 1987. ,
Contact particles calibration in order to use discrete element code, Proceedings European powder metallurgy, pp.355-360, 2007. ,
Random loose packings of uniform spheres and the dilatancy onset, Physical Review Letters, vol.64, issue.22, pp.2727-2730, 1990. ,
DOI : 10.1103/PhysRevLett.64.2727
Microstructural Randomness Versus Representative Volume Element in Thermomechanics, Journal of Applied Mechanics, vol.69, issue.1, pp.25-35, 2002. ,
DOI : 10.1115/1.1410366
Caracterisation du Comportement d'une, 1998. ,
Triaxial characterisation of iron powder behaviour, Powder Metallurgy, vol.35, issue.3, pp.345-352, 1999. ,
DOI : 10.1016/S0020-7403(97)00018-0
Modélisation par la méthode des éléments discrets d'impacts de blocs rocheux sur structures de protection type merlons. These, 2007. ,
A spherical discrete element model: calibration procedure and incremental response, Granular Matter, vol.20, issue.3, 2009. ,
DOI : 10.1007/s10035-009-0130-x
On the compaction of granular media using a multi-particle finite element model, These, 2007. ,
Simulation of multi-axial compaction of granular media from loose to high relative densities, Journal of the Mechanics and Physics of Solids, vol.53, issue.7, pp.1523-1551, 2005. ,
DOI : 10.1016/j.jmps.2005.02.007
Dynamique des rotations et frottement collectif dans les systèmes granulaires, Thèse de doctorat, 1995. ,
Features of force transmission in granular media, Kishino, éditeur : Fourth international workshop on powders and grains, 2001. ,
Powder compaction modelling via the discrete and finite element method, Materials & Design, vol.21, issue.4, pp.263-269, 2000. ,
DOI : 10.1016/S0261-3069(99)00081-3
The compaction of a random distribution of metal cylinders by the discrete element method, Acta Materialia, vol.49, issue.20, pp.4325-4335, 2001. ,
DOI : 10.1016/S1359-6454(01)00298-1
Approche par éléments discrets 3D du comportement de matériaux granulaires cohésifs faiblement contraints, Thèse de doctorat, 2005. ,
États de compacité maximale pour les mélanges binaires de grains sphériques : étude par simulation numérique 15 pages, 3 figures. Article in French. A free English translation is available on the web site of the journal, Bulletin des Laboratoires des Ponts et Chaussées, pp.268-269, 2007. ,
Compaction and yield behaviour of particulate materials, These, 2003. ,
Experimental investigation of yield behaviour of metal powder compacts, Powder Metallurgy, vol.24, issue.2, pp.237-245, 2002. ,
DOI : 10.1115/1.1339003
NETGEN An advancing front 2D/3D-mesh generator based on abstract rules, Computing and Visualization in Science, vol.1, issue.1, pp.41-52, 2000. ,
DOI : 10.1007/s007910050004
Critical state soil mechanics, 1968. ,
Micromechanics of granular materials with capillary effects, International Journal of Engineering Science, vol.47, issue.1, pp.64-75, 2009. ,
DOI : 10.1016/j.ijengsci.2008.07.002
Packing of Spheres: Packing of Equal Spheres, Nature, vol.13, issue.4754, pp.908-909, 1960. ,
DOI : 10.1063/1.1723874
Mod??lisation discr??te de la rupture dans les milieux granulaires, Revue Europ??enne de G??nie Civil, vol.10, issue.8, 2006. ,
DOI : 10.1080/17747120.2006.9692899
Particle packing simulations based on Newtonian mechanics, Powder Technology, vol.174, issue.3, pp.82-92, 2003. ,
DOI : 10.1016/j.powtec.2007.01.001
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
Yield behaviour of cold compacted composite powders, Acta Materialia, vol.48, issue.13, pp.3341-3352, 2000. ,
DOI : 10.1016/S1359-6454(00)00151-8
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
DYNAMIC COMPUTER SIMULATION OF CONCRETE ON DIFFERENT LEVELS OF THE MICROSTRUCTURE, Image Analysis & Stereology, vol.22, issue.1, pp.1-10, 2003. ,
DOI : 10.5566/ias.v22.p1-10
Ecoulements gravitaires de matériaux granulaires. These, 2002. ,
Coefficient of Restitution for Collinear Collisions of Elastic-Perfectly Plastic Spheres, Journal of Applied Mechanics, vol.64, issue.2, pp.383-386, 1997. ,
DOI : 10.1115/1.2787319
Mechanical behavior of metal powders and powder compaction modeling, pp.326-342, 1998. ,
Global geometrical description of homogeneous hard sphere packings. Disorder and Granular Media, 1993. ,
Discrete particle simulation of two-dimensional fluidized bed, Powder Technology, vol.77, issue.1, pp.79-87, 1993. ,
DOI : 10.1016/0032-5910(93)85010-7
The cold isostatic pressing of composite powders???I. Experimental investigations using model powders, Acta Materialia, vol.44, issue.11, pp.4521-4530, 1996. ,
DOI : 10.1016/1359-6454(96)00064-X
Multiscale Force Networks in Highly Polydisperse Granular Media, Physical Review Letters, vol.102, issue.17, pp.1-4, 2009. ,
DOI : 10.1103/PhysRevLett.102.178001
URL : https://hal.archives-ouvertes.fr/hal-00689872
An elastoplastic contact force-displacement model in the normal direction: displacement-driven version, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.455, issue.1991, pp.4013-4044, 1999. ,
DOI : 10.1098/rspa.1999.0488
Viscosity, granular???temperature, and stress calculations for shearing assemblies of inelastic, frictional disks, Journal of Rheology, vol.30, issue.5, pp.949-980, 1986. ,
DOI : 10.1122/1.549893
Contact force algorithm in explicit transient analysis using finite-element method, Finite Elements in Analysis and Design, vol.43, issue.6-7, pp.6-7580, 2007. ,
DOI : 10.1016/j.finel.2006.12.010
Soil Behaviour and Critical State Soil Mechanics, 1990. ,
DOI : 10.1017/CBO9781139878272
Die filling and power transfer, International journal of powder metallurgy, vol.39, issue.4, pp.51-64, 2003. ,
Experimental and numerical investigations of powder transfer, Powder Technology, vol.138, issue.2-3, pp.216-228, 2003. ,
DOI : 10.1016/j.powtec.2003.09.011
Computer simulation of the packing of one particles, pp.3900-3908, 2000. ,
A dynamic simulation of particle rearrangement in powder packings with realistic interactions, Journal of Applied Physics, vol.71, issue.7, pp.713164-3173, 1992. ,
DOI : 10.1063/1.350958