Une bibliographie sur les milieux granulaires (1996)


1. Physique de l'état granulaire - 2. Automates cellulaires - 3. Méthodes numériques - 4. Micromécanique - 5. Géométrie algorithmique - 6. Parallélisme - 7. Autres références - 8. Rapports et articles produits au cours de cette thèse - Retour à la page de la thèse de D. Müller

1. Physique de l'état granulaire

[Abr92] Abriak N.E., Gourves R., "Ecoulement d'un matériau granulaire à travers un orifice: effet de paroi", Revue Française de Géotechnique, No 61, Décembre 1992, pp. 47-61
[All90] Allen T., Particle size measurement, fourth edition, Chapman and Hall, 1990
[Amm87] Ammi M., Bideau D., Troadec J.P., "Geometrical structure of disordered packings of regular polygons; comparison with disc packings structures", Journal of physics D 20, 1987, pp. 424-428
[Bar90] Barker G.C., Grimson M.J., "The physics of muesli", New Scientist 26, May 1990, pp. 37-40
[Bed88] Beddow J.K., "Morphological analysis of particulate materials", in [Sat88], pp. 11-19
[Bia89] Biarez J., Gourvès R. (eds.), Powders and grains, Proceedings of the international conference on micromechanics of granular media, Clermont-Ferrand, 4-8 September 1989, A. A. Balkema, Rotterdam, Brookfield, 1989
[Bid93] Bideau D., Hansen A. (eds.), Disorder and granular media, North-Holland, 1993
[Bid94] Bideau D., Madani A., Hansen A., "Le tic-tac du sablier", La Recherche 261, Janvier 1994, pp. 92-93
[Bou86] Bourdeau Ph.L., Analyse probabiliste des tassements d'un massif de sol granulaire, Thèse No 628, Ecole polytechnique fédérale de Lausanne, 1986
[Bre95] Brennen C.E., Ghosh S., Wassgren C.R., "Vertical oscillation of a bed of granular material", document directement disponible via WWW à l'adresse URL http://www.cco.caltech.edu/~granflow/homepage.html, January 5, 1995
[Bro70] Brown R.L., Richards J.C., Principles of powder mechanics, Pergamon Press, 1970
[Bro87] Brown E.T. (ed.), Analytical and computational methods in engineering rock mechanics, Allen & Unwin, 1987
[Clé92] Clément E., Duran J., Rajchenbach J., "Experimental study of heaping in a two-dimensional "sandpile"", Physical Review Letters, Vol. 69, No 8, August 1992, pp. 1189-1192
[Del90] Delyon F., Dufresne D., Lévy Y.E., "Physique et génie civil: deux illustrations simples", Annales des Ponts et Chaussées, No 53-54, 1990, pp. 22-29
[Der58] Deresiewicz H., "Mechanics of granular matter", Advances in applied mechanics, Vol. 5, 1958, pp. 233-306
[Dur93] Duran J., Rajchenbach J., Clément E., "Arching effect model for particle size segregation", Physical Review Letters, Vol. 70, No 16, April 1993, pp. 2431-2434
[Eve88] Evesque P., Rajchenbach J., "La dynamique du tas de sable", La Recherche No 205, Décembre 1988, pp. 1528-1529
[Eve93] Evesque P., Meftah W., "Mean flow of a vertically vibrated hourglass", in [Tag93a], pp. 1799-1805
[Fed82] Feda J., Mechanics of particulate materials: the principles, Developments in geotechnical engineering 30, Elsevier scientific publishing company, 1982
[Gar79] Garnier J., Robert J., "Détermination de l'angularité des gravillons et des sables", Bull. liaison Labo. P. et Ch. 104, Nov.-Déc. 1979, pp. 67-76
[Guy94] Guyon E., Troadec J.-P., Du sac de billes au tas de sable, éditions Odile Jacob, Paris, 1994
[Jae92a] Jaeger H.M., Nagel S.R., "Physics of the granular state", Science Vol. 255, March 1992, pp. 1523-1531
[Jae92b] Jaeger H.M., Nagel S.R., "La physique de l'état granulaire", La Recherche No 249, Décembre 1992, pp. 1380-1387
[Jen83] Jenkins J.T., Satake M. (eds.), Mechanics of granular materials, Studies in applied mechanics 7, Elsevier Science Publishers B.V., 1983
[Kan91] Kandourov I.I., Mechanics of granular media and its application in civil engineering, Geotechnika 6, A. A. Balkema, 1991
[Kni93] Knight J.B., Jaeger H.M., Nagel S.R., "Vibration-induced size separation in granular media: The convection connection", Physical Review Letters, Vol. 70, No 24, June 1993, pp. 3728-3731
[Kru41] Krumbein W.C., "Measurement and geological significance of shape and roundness of sedimentary particles", Journal of sedimentary petrology, Vol. 11, No 2, August 1941, pp. 64-72
[Lab94] Labiouse V., Descoeudres F., Montani S., Schmidhalter C.-A., "Etude expérimentale de la chute de blocs rocheux sur une dalle en béton armé recouverte par des matériaux amortissants", Revue Française de Géotechnique No 69, 4e trimestre 1994, pp. 41-62
[Lab95] Labiouse V., Descoeudres F., Montani S., "Spreadsheet numerical analysis of rock blocks impacting rock sheds by a soil cushion", in Pande G.N., Pietruszczak S. (eds.), Numerical models in geomechanics, Numog V, Davos, 1995, pp. 645-650
[Lei86] Leibovich S. et al. (eds.), Applications of the Mechanics of Granular Materials in Geophysics, Euromech Colloquium, Interlaken, 13-18 Oct. 1985, in Acta Mechanica, Vol. 63, 1986
[Meh94] Mehta A. (ed.), Granular matter, An interdisciplinary approach, Springer-Verlag, 1994
[Ned92] Nedderman R.M., Statics and kinematics of granular materials, Cambridge University Press, 1992
[Por94] Porion P., Frottement solide et avalanches dans les matériaux granulaires, Thèse No 1260, Université des Sciences et Technologies de Lille, 28 janvier 1994
[Rig94] Riguidel F.-X., Ecoulements de particules sur un plan rugueux incliné, Thèse No 1109, Université de Rennes I, 10 janvier 1994
[Ros59] Rose H.E., Tanaka T., "Rate of discharge of granular materials from bins and hoppers", The Engineer, Vol. 208, October 23, 1959, pp. 465-469
[Ros94] Rosendahl J., Vekic M., Rutledge J.E., "Predictability of large avalanches on a sandpile", Physical Review Letters, Vol. 73, No 4, 25 July 1994, pp. 537-540
[Rou90] Roux S., Guyon E., "Etats critiques dans les milieux granulaires", Annales des Ponts et Chaussées, No 53-54, 1990, pp. 5-12
[Sat88] Satake M., Jenkins J.T. (eds.), Mechanics of granular materials, Studies in applied mechanics 20, Elsevier Science Publishers B.V., 1988
[Sav83] Savage S.B., "Granular flows down rough inclines - Review and extension", in [Jen83], pp. 261-282
[Sch74] Schlosser F., "Influence des déformations des grains dans les milieux granulaires", Bulletin de liaison des ponts et chaussées no 69, Janvier-Février 1974, pp. 97-103
[Sha83a] Shahinpoor M., Advances in the mechanics and the flow of granular materials, Trans Tech Publications, 1983
[Sha83b] Shahinpoor M., "Some recent results on the behavior or granular materials", in [Sha83a], pp. 297-330
[She92] Shen H.H, Satake M., Mehrabadi M., Chang C. S., Campbel C. S. (eds.), Advances in micromechanics of granular materials, Studies in applied mechanics 31, Elsevier Science Publishers B.V., 1992
[Tag93a] Taguchi Y-h. et al. (eds.), Dynamics of powder systems, International Journal of Modern Physics B, Vol. 7, No 9 & 10, April 1993
[Tag95] Taguchi Y-h., The Powder Page, http://www.granular.com/
[Tho88] Thorne C.R. et al. (eds.), The physics of sediment transport by wind and water, a collection of hallmark papers by R.A. Bagnold, American Society of Civil Engineers, New York, 1988
[Tho93] Thornton C. (ed.), Powders & grains 93, Proceedings of the second international conference on micromechanics of granular media, Birmingham, 12-16 July 1993, A. A. Balkema, Rotterdam, Brookfield, 1993
[Tro94] Troadec J.P. et al., "A model of binary assemblies of discs and its application to segregation study", Journal de Physique I, Vol. 4, 1994, pp.1121-1132
[Voy92] Voyiadjis G.Z. (ed.), Microstructural characterization in constitutive modeling of metals and granular media, The American Society of Mechanical Engineers, New York, 1992
[Was94] Wassgren C.R., Brennen C.E., Hunt M.L., "Vertical vibration of a bed of granular material in a container", rapport préliminaire disponible via WWW à l'adresse URL http://www.cco.caltech.edu/~granflow/homepage.html, June 14, 1994
[Wei90] Weill C., "Propriétés mécaniques d'empilements aléatoires de sphères", Annales des Ponts et Chaussées, No 53-54, 1990, pp. 13-21
[Wil76] Williams J.C., "The segregation of particulate materials. A review", Powder Technology 15, 1976, pp. 245-251
[Zin35] Zingg Th., "Beitrag zur Schotteranalyse", Min. Petrol. Mitt. 15, 1935, pp. 39-140


2. Automates cellulaires

[And93] Anderson R.S., Bunas K.L., "Grain size segregation and stratigraphy in aeolian ripples modelled with a cellular automaton", Nature Vol. 365, 21 October 1993, pp. 740-743
[Bak88] Bak P., Tang C., Wiesenfeld K., "Self-organized criticallity", Physical Review A, Vol. 38, No 1, 1988, pp. 364-374
[Bak91] Bak P., Chen K., "Les systèmes critiques auto-organisés", Pour la Science No 161, mars 1991, pp. 52-60
[Bax90] Baxter G.W., Behringer R.P., "Cellular automata models of granular flow", Physical Review A, Vol. 42, No 2, 1990, pp. 1017-1020
[Beh93] Behringer R.P., "The dynamics of flowing sand", Nonlinear Science Today, Vol. 3, No 3, 1993, pp. 1-15
[Chr91] Christensen K., Fogedby H.C., Jensen H.J., "Dynamical and spatial aspects of sandpile cellular automata", Journal of Statistical Physics, Vol. 63, Nos 3/4, 1991, pp. 653-684
[Dés93] Désérable D., Martinez J., "Using a cellular automaton for the simulation of flow of granular material", in [Tho93], pp. 345-350
[Gar70] Gardner M., "The fantastic combinations of John Conway's new solitaire game Life", Scientific American 223, No 4, 1970, pp. 120-123
[Gar71] Gardner M., "On cellular automata, self-reproduction, the garden of Eden and the game Life", Scientific American 224, No 2, 1971, pp. 112-117
[Gut??] Gutowitz Howard, Frequently Asked Questions about Cellular Automata, page web à l'adresse http://alife.santafe.edu/alife/topics/cas/ca-faq/ca-faq.html
[Pra92] Prado C., Olami Z., "Inertia and break of self-organized criticality in sandpile cellular automata models", Physical Review A, Vol. 45, No 2, 1992, pp. 665-669


3. Méthodes numériques

[Aiz89] Aizawa T., Kihara J., "Impact compaction and consolidation of powder/granular materials", in Computational techniques for contact, impact, penetration and perforation of solids, The American Society of Mechanical Engineers, 1989
[Ant94] Antikainen J., Three dimensional distinct element modelling of mining-induced subsidence at the footwall of a steeply dipping orebody, Acta Polytechnica Scandinavica, Civil engineering and building construction series No. 98, Helsinki, 1994
[Ara91] Araki S., "Dynamics of planetary rings", American Scientist, Vol. 79, 1991, pp. 44-59
[Bar89] Barbosa R., Ghaboussi J., "Discrete finite element method", in [Mus89]
[Bar92] Barker G.C., Mehta A., "Vibrated powders: structure, correlations, and dynamics", Physical Review A, Vol. 45, No 6, March 1992, pp. 3435-3446
[Bar93a] Barker G.C., Grimson M.J., Mehta A., "Segregation phenomena in vibrated powders", in [Tho93], pp. 253-257
[Bar93b] Barker G.C., Mehta A., "Avalanches in real sandpiles: The role of disorder", in [Tho93], pp. 315-320
[Bat88] Bathurst R.J., Rothenburg L., "Micromechanical aspects of isotropic granular assemblies with linear contact interactions", Journal of Applied Mechanics, Vol. 55, March 1988, pp. 17-23
[Bat89] Bathurst R.J., Rothenburg L., "Investigation of micromechanical features of idealized granular assemblies using DEM", in [Mus89]
[Bau94] Baumann G., J‡nosi I.M., Wolf D.E., "Particle trajectories and segregation in a two-dimensional rotating drum", Europhysics Letters, accepted 08/06/94
[Bau95] Baumann G., J‡nosi I.M., Wolf D.E., "Surface properties and flow of granular material in a two-dimensional rotating-drum model", Physical Review E, Vol. 51, No 3, March 1995, pp. 1879-1888
[Boj92] Bojtar I., Bagi K., "Numerical evaluation of internal variables of granular materials", in [She92], pp. 331-342
[Buc93] Buchholtz V., Poeschel T., "Numerical investigation of the evolution of sandpiles", http://summa.physik.hu-berlin.de/~volkhard/vb3.html
[Buc96] Buchholtz V., Poeschel T., "Avalanche statistics of sand heap", disponible à l'adresse http://summa.physik.hu-berlin.de/~volkhard/vb9.html
[But88] Butkovitch T.R., Walton O.R., Heuze F.E., "Insights in cratering phenomenology provided by discrete element modeling", in Cundall et al. (eds.), Key Questions in Rock Mechanics, Balkema, 1988, pp. 359-368
[Cam81] Cambou B., "Analyses du comportement des milieux granulaires basées sur leur nature discontinue", Revue française de géotechnique 14, 1981, pp. 5-24
[Cam83] Campbell C.S., Brennen C.E., "Computer simulation of shear flows of granular materials", in [Jen83], pp. 313-326
[Cam85] Campbell C.S., Brennen C.E., "Chute flows of granular material: some computer simulations", Journal of Applied Mechanics, Vol. 52, March 1985, pp. 172-178
[Cun71] Cundall P.A., "A computer model for simulating progressive large scale movements in blocky rock systems", Proceedings of the symposium of the international society of rock mechanics (Nancy, France, 1971), Vol. 1, Paper No. II-8
[Cun79] Cundall P.A., Strack O.D.L., "A discrete numerical model for granular assemblies", Géotechnique 29, No 1, pp. 47-65
[Cun83] Cundall P.A., Strack O.D.L., "Modeling of microscopic mechanics in granular material", in [Jen83], pp. 137-149
[Cun87] Cundall P.A., "Distinct element models of rock and soil structure", in [Bro87], pp. 129-163
[Cun88a] Cundall P.A., "Computer simulations of dense sphere assemblies", in [Sat88], pp. 113-123
[Cun88b] Cundall P.A., "Formulation of a three-dimensional distinct element model - Part I. A scheme to detect and represent contacts in a system composed of many polyhedral blocks", Int. J. Rock Mech. Min. Sci. & Geomech. Abstr., Vol. 25, No 3, 1988, pp. 107-116
[Cun89] Cundall P.A., Hart R.D., "Numerical modeling of discontinua", in [Mus89]
[Dip95] Dippel S., Luding S., "Simulations on size segregation: geometrical effects in the absence of convection", document disponible par WWW à l'adresse suivante: http://w3.hlrz.kfa-juelich.de/~sabine/
[Dob89] Dobry R., Ng T.-T., "Discrete modeling of stress-strain behavior of granular media at small and large strain", in [Mus89]
[Dra95] Drake T.G., Walton O.R., "Comparison of experimental and simulated grain flows", Journal of Applied Mechanics, Vo. 62, March 1995, pp. 131-135
[Gal92] Gallas J., Herrmann H., Sokolowski S., "Convection cells in vibrating granular media", Physical Review Letters, Vol. 69, No 9, April 1992, pp. 1371-1374
[Gal93a] Gallas J., Herrmann H., Sokolowski S., "Granular media on a vibrating plate : a molecular dynamics simulation", in [Tag93a], pp. 1779-1788
[Gal93b] Gallas J., Sokolowski S., "Grain non-sphericity effects on the angle of repose of granular material", in [Tag93a], pp. 2037-2046
[Gha90] Ghaboussi J., Barbosa R., "Three-dimensional discrete element method for granular materials", Int. J. for Numerical and Analytical Methods in Geomechanics, Vol. 14, 1990, pp. 451-472
[Haf86] Haff P.K., Werner B.T., "Computer simulation of the mechanical sorting of grains", Powder Technology 48, 1986, pp. 239-245
[Hak89a] Hakuno M., Uemura D., Yamamoto T., "A DEM simulation of underground structures", in [Mus89]
[Hak89b] Hakuno M., Iwashita K., Uchida Y., "DEM simulation of cliff collapse and debris flow", in [Mus89]
[Hak91] Hakuno M., Yamamoto T., "Simulation analysis of dynamic nonlinear behavior of underground structures by the extended distinct element method", in Beer et al. (eds.), Computer Methods and Advances in Geomechanics, Balkema, 1991, pp. 481-486
[Hak92] Hakuno M., Meguro K., "Simulations of the collapse of concrete frames and volcanic eruption", in [She92], pp. 321-330
[Har88] Hart R., Cundall P.A., Lemos J., "Formulation of a three-dimensional distinct element model - Part II. Mechanical calculations for motion and interaction of a system composed of many polyhedral blocks", Int. J. Rock Mech. Min. Sci. & Geomech. Abstr., Vol. 25, No 3, 1988, pp. 117-125
[Har91] Hart R.D., "General report: An introduction to distinct element modelling for rock engineering", 7th International Congress on rock Mechanics, tome 3, Aachen, 1991, pp. 1881-1891
[Haw83] Hawkins G.W., "Simulation of granular flow", in [Jen83], pp. 305-312
[Her92] Herrmann H.J., "Simulation of granular media", Physica A Vol. 191, 1992, pp. 263-276
[Hog93a] Hogue C., Computer modelling of the motions of granular particles, PhD thesis, University of Cambridge, 1993
[Hog93b] Hogue C., Newland D.E., "Efficient computer modelling of the motion of arbitrary grains", in [Tho93], pp. 413-419
[Hog94] Hogue C., Newland D.E., "Efficient computer simulation of moving granular particles", Powder Technology 78, 1994, pp. 51-66
[Hoo96] Hoomans B.P.B et al., "Discrete particle simulation of bubble and slug formation in a two-dimensional gas-fluidised bed: a hard sphere approach", accepted for publication in Chemical Engineering Science, personal communication
[Ike89] Ikegawa Y., Hudson J.A., "A novel automatic identification system for three dimensional multi-block systems", in [Mus89]
[Iss89] Issa J.A., Nelson R.B., "Numerical analysis of micromechanical behavior of granular materials", in [Mus89]
[Iwa88] Iwashita K. et al., "Granular assembly simulation for ground collapse", in [Sat88], pp.125-132
[Iwa92] Iwashita K., Kojima T., "Distinct element simulation for simple shear test of granular assembly", in [She92], pp. 311-319
[Jag92] Jagota A., "Effective sintering rates and viscosities of two-dimensional composite packings", MD-Vol. 37, Mechanics of Granular Materials and Powder Systems, ASME 1992, pp. 39-49
[Jul92a] Jullien R., "La ségrégation chez les grains de sable", La Recherche No 247, Octobre 1992, pp. 1198-1199
[Jul92b] Jullien R., Meakin P., Pavlovitch A., "Three-dimensional model for particle-size segregation by shaking", Physical Review Letters, Vol. 69, No 4, July 1992, pp. 640-643
[Kad89] Kadanoff L.P. et al., "Scaling and universality in avalanches", Physical Review A, Vol. 39, No 12, 1989, pp. 6524-6537
[Kis88] Kishino Y., "Disc model analysis of granular media", in [Sat88], pp. 143-152
[Kit83] Kitamura R., "Application of Markov process to mechanics of soil and granular material", in [Sha83a], pp. 285-296
[Koe93] Koenders M.A., Stefanovska E., "The numerical simulation of a dense assembly of particles with elasto-frictional interaction", Powder Technology, Vol. 77, No 2, 1993, pp. 115-122
[Lan94] Langston P.A., Tüzün U., Heyes D.M., "Continuous potential discrete particle simulations of stress and velocity fields in hoppers: transition from fluid to granular flow", Chemical Engineering Science, Vol. 49, No 8, 1994, pp. 1259-1275
[Lan95] Langston P.A., Tüzün U., Heyes D.M., "Discrete element simulation of granular flow in 2D and 3D hoppers: dependance of discharge rate and wall stress on particle interactions", Chemical Engineering Science, Vol. 50, No 6, 1995, pp. 967-987
[Lem85] Lemos J.V., Hart R. D., Cundall P. A., "A generalized distinct element program for modelling jointed rock mass", Proceedings of the international symposium on fundamentals of rock joints, Bjšrkliden, 15-20 September 1985, pp. 335-343
[Lud94] Luding S., et al., "Anomalous energy dissipation in molecular-dynamics simulations of grains: The ÇdetachmentÈ effect", Physical Review E, Vol. 50, No 5, November 1994, pp. 4113-4122
[Mas91] Masuya H., Kajikawa Y., "Numerical analysis of the collision between a falling rock and a cushion by distinct element method", in Beer et al. (eds.), Computer Methods and Advances in Geomechanics, Balkema, 1991, pp. 493-498
[Mat94] Mathews B., An improved discrete element algorithm for particle flow problems, Thesis, Colorado School of Mines, Golden, Colorado, 1994
[Mea90] Meakin P., "A simple two-dimensional model for particle segregation", Physica A 163, 1990, pp. 733-746
[Mor94] Moreau J.J., "Some numerical methods in multibody dynamics : application to granular materials", European Journal of Mechanics A/Solids, Vol. 13, No 4 - suppl., Special Issue, 2nd European Solid Mechanics Conference Euromech, Genoa, Italy, September 12-16 1994, pp. 93-114
[Mor95] Moreau J.J., "Numerical experiments in granular dynamics: vibration-induced size segregation", in [Rao95], pp. 347-358
[Mus89a] Mustoe G.G.W. et al. (eds.), DEM 1st U.S. Conference on Discrete Element Methods, CSM Press, 1989
[Mus89b] Mustoe G.G.W., Williams J.R., Educational workshop on discrete element methods '89, Presented at Golden, Colorado, October 17-18, 1989
[Ng92] Ng T.-T., "Numerical simulations of granular soil using elliptical particles", in [Voy92], pp. 95-117
[Ng94] Ng T.-T., Dorby R., "Numerical simulations of monotonic and cyclic loading of granular soil", Journal of Geotechnical Engineering, Vol. 120, No 2, February 1994, pp. 388-403
[O'Co96] O'Connor R.M., A distributed discrete element modeling environment - Algorithms, implementation and applications, MIT thesis, 1996, aussi disponible sur le web : ftp://www-iesl.mit.edu/pub/dem/papers/scd-thesis.ps.gz
[Oma88] Omachi T., Arai Y., "Dynamic failure of rockfill models simulated by the distinct element method", in Swoboda G. (ed.), Numerical Methods in Geomechanics, Innsbruck 1988, A. A. Balkema, 1988, pp. 1855-1860
[Poes95a] Poeschel T., Herrmann H.J., "Size segregation and convection", Europhysics Letters, 29 (2), 1985, pp. 123-128
[Poes95b] Poeschel T., Buchholtz V., "Molecular dynamics of arbitrary shaped granular particles", http://summa.physik.hu-berlin.de/~volkhard/vb7.html
[Pre94] Preece D.S., "A numerical study of bench blast row delay timing and its influence", in Siriwardane H.J. & Zaman M.M. (eds), Computer methods and advances in geomechanics, Balkema, Rotterdam, 1994, pp. 863-870
[Ron95a] Rong G.H, Negi S.C., Jofriet J.C., "Simulation of flow behaviour of bulk solids in bins. Part 1: model development and validation", Journal of agricultural Engineering Research 62, 1995, pp. 247-256
[Ron95b] Rong G.H, Negi S.C., Jofriet J.C., "Simulation of flow behaviour of bulk solids in bins. Part 2: shear bands, flow corrective inserts and velocity profiles", Journal of agricultural Engineering Research 62, 1995, pp. 257-269
[Ros86] Rosato A.D. et al., "Monte Carlo Simulation of particulate matter segregation", Powder Technology 49, 1986, pp. 59-69
[Ros87] Rosato A.D. et al., "Why the Brazil nuts are on top: size segregation of particulate matter by shaking", Physical Review Letters, Vol. 58, Number 10, March 1987, pp. 1038-1040
[Ros91] Rosato A.D., Lan Y., D.T., "Vibratory particle size sorting in multi-component systems", Powder Technology 66, 1991, pp. 149-160
[Rot91] Rothenburg L., Bathurst R.J., "Numerical simulation of idealized granular assemblies with plane elliptical particles", Computers and Geotechnics 11, 1991, pp. 315-329
[Rot92] Rothenburg L., Bathurst R.J., "Effects of particle shape on micromechanical behavior of granular materials", in [She92], pp. 343-352
[Sak93] Sakaguchi H., Ozaki E., Igarashi T., "Plugging of the flow of granular materials during the discharge from a silo", in [Tag93a], pp. 1949-1963
[Saw91] Sawada S., Pradhan T.B.S., Iwasaki Y., "Simple shear simulations of sand using D.E.M.", in Beer et al. (eds.), Computer Methods and Advances in Geomechanics, Balkema, 1991, pp. 511-516
[Str96] Strassburger G. et al., "Pattern formation by horizontal vibration of granular material", in Wolf D.E. et al. (eds), Traffic and granular Flow, World Scientific, Singapore, 1996
[Tag92] Taguchi Y.-h., "Powder turbulence: direct onset of turbulent flow", Journal de Physique 2, Décembre 1992, pp. 2103-2114
[Tam93] Tamura S. Aizawa T., Kihara J., "Mechanical behavior of powder particle on the applied vibration", in [Tag93a], pp. 1829-1838
[Tan90] Tan Ph., Numerical simulations of two-dimensional saturated granular media, Thesis, California Institute of Technology, Pasadena, California, 1990
[Tay89] Taylor L.M., Preece D.S., "Simulation of blasting induced rock motion using spherical element models", in [Mus89]
[Tag93b] Taguchi Y-h., "Numerical modeling of vibrated beds", in [Tag93a], pp. 1839-1858
[Tho86] Thornton C., Barnes D.J., "Computer simulated deformation of compact granular assemblies", Acta Mechanica, Vol. 64, 1986, pp. 45-61
[Tho88] Thornton C., Randall C. W., "Applications of theoretical contact mechanics to solid particle system simulation", in [Sat88], pp. 133-142
[Tho89] Thornton C., "Applications of DEM to process engineering problems", in [Mus89]
[Tin86] Ting J.M., Corkum B.T., Greco C., "Application of the distinct element method in geotechnical engineering", Proceedings of the international symposium on numerical models in geomechanics, Ghent, 31st March - 4th April 1986, pp. 789-798
[Tin89] Ting J.M., Corkum B.T., Kauffman C.R., Greco C., "Discrete numerical model for soil mechanics", Journal of geotechnical engineering, Vol. 115, No 3, March 1989, pp. 379-398
[Tsu92] Tsuji Y., Tanaka T., Ishida T., "Lagrangian numerical simulation of plug flow of cohesionless particles in a horizontal pipe", Powder Technology, Vol. 71, No 3, 1992, pp. 239-250
[Tsu93] Tsuji Y., Kawaguchi T., Tanaka T., "Discrete particle simulation of two-dimensional fluidized bed", Powder Technology, Vol. 77, No 1, 1993, pp. 79-87
[Wal83] Walton O.R., "Particle-dynamics calculations of shear flow", in [Jen83], pp. 327-338
[Wal86a] Walton O.R., Braun R.L., "Stress calculations for assemblies of inelastic spheres in uniform shear", in [Lei86], pp. 73-86
[Wal86b] Walton O.R., Braun R.L., "Viscosity, granular-temperature, and stress calculations for shearing assemblies of inelastic, frictional disks", Journal of Rheology, Vol. 30, Issue 5, October 1986, pp. 949-980
[Wal88] Walton O.R. et al. "Particle-dynamics calculations of gravity flow of inelastic frictional spheres", in [Sat 88], pp. 153-161
[Wal93a] Walton O.R., "Numerical simulation of inclined chute flows of monodisperse, inelastic, frictional spheres", Mechanics of Materials 16, 1993, pp. 239-247
[Wil85] Williams J.R., Hocking G., Mustoe G.G.W., "The theoretical basis of the discrete element method", Proceedings of the NUMETA '85 Conference, Swansea, 7-11 January 1985, pp. 897-906
[Wil88a] Williams J.R., "Discrete element analysis of granular material under dynamic loading", in Swoboda G. (ed.), Numerical Methods in Geomechanics, Innsbruck 1988, A. A. Balkema, 1988, pp. 1799-1803
[Wil88b] Williams J.R., "Contact analysis of large numbers of interacting bodies using discrete modal methods for simulating material failure on the microscopic scale", Engineering Computations, Vol. 5, September 1988
[Wil89] Williams J.R., Pentland A.P., "Object representation for design-unifying cubes and spheres", in [Mus89b]
[Wil93] Williams J.R., Mustoe G.G.W, Proceedings of the 2nd international conference on discrete element methods (DEM), MIT, March 18-19, 1993, IESL Publications
[Wil95a] Williams J.R., O'Connor R., "Geometric modeling of porous media using the Discrete Element Method", disponible directement via WWW à l'adresse URL : http://www-iesl.mit.edu/pub/dem/dem-papers.html
[Yem93] Yemmas R., Simulations numériques des matériaux granulaires, Thèse, Université de Montpellier II, 1993
[Zha93] Zhang R. et al., "Simulation of hydraulic phenomena using element method", in [Wil93], pp. 189-200


4. Micromécanique

[Bra89a] Brach R.M., "Rigid body collisions", Journal of Applied Mechanics, Vol. 56, March 1989, pp. 133-138
[Bra89b] Brach R.M., "Tangential restitution in collisions", in Computational techniques for contact, impact, penetration and perforation of solids, The American Society of Mechanical Engineers, 1989
[Bra91] Brach R.M., Mechanical Impact Dynamics. Rigid Body Collisions, Wiley & Sons, 1991
[Cha92a] Chang C.S., Chang Y., Kabir M.G., "Micromechanics modeling for stress-strain behavior of granular soils. I: Theory", Journal of geotechnical engineering, Vol. 118, No 12, December 1992, pp. 1959-1974
[Cha92b] Chang C.S., Chang Y., Kabir M.G., "Micromechanics modeling for stress-strain behavior of granular soils. II:Evaluation", Journal of geotechnical engineering, Vol. 118, No 12, December 1992, pp. 1975-1992
[DeJ69] De Josselin de Jong G., Verruijt a., "Etude photo-élastique d'un empilement de disques", Cahiers du Groupe français de Rhéologie, Vol. 2, No 73, 1969, pp. 73-86
[Foe94] Foerster S.F., et al., "Measurements of the collision properties of small spheres", Physics of Fluids, Vol. 6, No 3, March 1994, pp. 1108-1115
[Han89] Han I., Gilmore B. J., "Impact analysis for multiple-body systems with friction and sliding contact", in Sathyadev D. P. (ed.), Flexible Assembly Systems, New York, pp. 99-108
[Jea92] Jean M., Moreau J.J., "Unilaterality and dry friction in the dynamics of rigid body collections", in Curnier A. (ed.), Proc. Contact Mechanics Int. Symp., PPUR, 1992, pp. 31-48
[Jea93] Jean M., "Numerical methods for three dimensional dynamical frictional contact problems", in Aliabadi M.H., Brebbia C.A. (eds.), Proc. conference Contact Mechanics 93, Southampton, Computational Mechanics Publications, Southampton, Boston, pp. 325-332
[Joh85] Johnson K.L., Contact Mechanics, Cambridge University Press, 1985
[Kel86] Keller J.B., "Impact with friction", Journal of Applied Mechanics, Vol. 53, March 1986, pp. 1-4
[Pai93] Paikowsky S.G. et al., "Interparticle contact force analysis and measurements using photoelastic techniques", in [Wil93], pp. 449-461
[Rao95] Raous M., Jean M., Moreau J.J. (eds), Contact Mechanics, Plenum Press, New York, 1995
[Str90] Stronge W.J., "Rigid body collisions with friction", Proceedings of the Royal Society of London, A 431, 1990, pp. 169-181
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[Wal93b] Walton O.R., "Numerical simulation of inelastic, frictional particle-particle interactions", in Roco M.C. (ed.), Particulate Two-Phase Flow, Butterworth-Heinemann, 1993, pp. 884-910
[Wan92] Wang Y., Mason M. T., "Two-dimensional rigid-body collisions with friction", Journal of Applied Mechanics, Vol. 59, September 1992, pp. 635-642


5. Géométrie algorithmique

[Alb92] Albers G., Roos T., "Voronoi diagrams of moving points in higher dimensional spaces", Proc. 3rd Scandinavian Workshop on Algorithm Theory, Helsinki, July 8-10, 1992, pp. 399-409
[Aur87] Aurenhammer F., "Power diagrams: properties, algorithms and applications", SIAM Journal of Computing, Vol. 16, No 1, February 1987, pp. 78-96
[Bar89] Baraff D., "Analytical methods for dynamic simulation of non-penetrating rigid bodies", Computer Graphics, Vol. 23, No 3, July 1989, pp. 223-232
[Boum91] Bouma W.J., Vanecek G., "Collision detection and analysis in a physically based simulation", Second Eurographics Workshop on Animation and Simulation, Sept. 1-2, 1991, Vienna Austria, pp. 191-203
[Cam90] Cameron S., "Collision detection by four-dimensional intersection testing", IEEE Transactions on Robotics and Automation, Vol. 6, No. 3, June 1990, pp. 291-302
[Can86] Canny J., "Collision detection for moving polyhedra", IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 8, No. 2, March 1986
[Cha91] Chazelle B., "Triangulating a simple polygon in linear time", Discrete & Computational Geometry, Vol. 6, 1991, pp. 485-524
[Che89] Chew L.P., "Constrained Delaunay triangulations", Algorithmica 4, 1989, pp. 97-108
[Cla89] Clarkson K.L., Tarjan R. E., Van Wyk Ch. J., "A fast Las Vegas algorithm for triangulating a simple polygon", Discrete & Computational Geometry 4, 1989, pp. 423-432
[Dob89] Dobkin D.P., Laszlo M.L., "Primitives for the manipulation of three-dimensional subdivisions", Algorithmica 4, 1989, pp. 3-32
[Du92] Du D.-Z, Hwang F., (eds.), Computing in euclidean geometry, World Scientific Publishing Co., 1992
[Ede87] Edelsbrunner H., Algorithms in Combinatorial Geometry, Springer-Verlag, 1987
[Fan93] Fang T.-P., Piegl L.A., "Delaunay triangulation using a uniform grid", IEEE Computer Graphics & Applications, Vol. 13, No. 3, May 1993, pp. 36-47
[For92] Fortune S., "Vorono• diagrams and Delaunay triangulations", in [Du92], pp. 193-233
[Fou84] Fournier A., Montuno D.Y., "Triangulating simple polygons and equivalent problems", ACM Transactions on Graphics, Vol. 3, No. 2, April 1984, pp. 153-174
[Gil88] Gilbert E.G., Johnsonn D.W., Keerthi S.S., "A fast procedure for computing the distance between complex objects in three-dimensional space", IEEE Journal of Robotics and Automation, Vol. 4, No. 2, April 1988, pp. 193-203
[Gil90] Gilbert E.G., Foo Ch.-P., "Computing the distance between general convex objects in three-dimensional space", IEEE Transactions on Robotics and Automation, Vol. 6, No. 1, February 1990, pp. 53-61
[Gui85] Guibas L., Stolfi J., "Primitives for the manipulation of general subdivisions and the computation of Voronoi diagrams", ACM Transactions on Graphics, Vol. 4, No 2, April 1985, pp. 74-123
[Hah88] Hahn J.K., "Realistic animation of rigid bodies", ACM Computer Graphics, Vol. 22, No 4, August 1988, pp. 299-308
[Her83] Hertel S., Mehlhorn K., "Fast triangulation of a simple polygon", Proc. Conf. Found. Comput. Theory, Lecture Notes on Computer Science, Vol. 158, Springer-Verlag, Berlin, 1983, pp. 207-218
[Joe89] Joe B., "Three-dimensional triangulations from local transformations", SIAM J. SCI. STAT. COMPUT., Vol. 10, No 4, pp. 718-741, July 1989
[Joe91] Joe B., "Construction of three-dimensional Delaunay triangulations using local transformations", Computer Aided Geometric Design 8, 1991, pp. 123-142
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[Moo88] Moore M., Wilhelms J., "Collision detection and response for computer animation", ACM Computer Graphics, Vol. 22, No 4, August 1988, pp. 289-298
[Mun93] Munjiza A. et al., "DSB contact detection algorithm for discrete elements in 2D", in [Wil93], pp. 39-52
[O'Co93] O'Connor R., Williams J.R., "A linear complexity contact detection algorithm for multi-body simulation", in [Wil93], pp. 53-64
[Pre85] Preparata, F.P., Shamos M.I., Computational Geometry, An Introduction, Springer, New York, 1985
[Sam84] Samet H., "The quadtree and related hierarchical data structures", ACM Computing Surveys 16, 1984, pp. 187-260
[Sco94] Scopigno R., Cignono P., Montani C., "A merge-first divide & conquer algorithm for Ed Delaunay triangulations", personal communication.
[Wen93] Wenzel O., Bicanic N., "A quad tree based contact detection algorithm", in [Wil93], pp. 81-94
[Wil95b] Williams J.R., O'Connor R., "A linear complexity intersection algorithm for discrete element simulation of arbitrary geometries", disponible via WWW à l'adresse URL : http://www-iesl.mit.edu/pub/dem/dem-papers.html


6. Parallélisme

[Bar94] Barriuso R., Knies A., "SHMEM User's Guide for C", Cray Research Inc., 1994
[Gha93] Ghaboussi L. et al., "Three dimensional discrete element analysis on massively parallel computers", in [Wil93], pp. 95-104
[Hof95| Hofer A., Strohmaier E., "TOP500 Supercomputer Sites", novembre 1995, document disponible via : http://parallel.rz.uni-mannheim.de/top500/top500.list.html
[HR94] HR-04033, "Cray T3D System Architecture Overview", Cray Research Inc, 1994
[Hus95] Hustrulid A.I., "Parallel implementation of the Discrete Element Method", document disponible via : http://www.mines.edu/academic/eng/research/dem/
[IESL95] Intelligent Engineering Systems Lab, Xmal, pages WWW dont la première a pour adresse : http://www-iesl.mit.edu/pub/dem/xmal/xmal.html
[Mee94] Meegoda N.J., Washington D.W., "Massively parallel computers for microscopic modeling of soils", Proceedings of the 8th international conference on computer methods and advances in geomechanics, Morgantown, USA, 22-28 May 1994, Vol. 1, pp. 617-622
[Num94] Numrich R.W., Springler P.L., Peterson J.C., "Measurement of Communication Rates on the Cray T3D Interprocessor Network", Proceedings HPCN Europe '94, Munich, April 18-20, 1994, Springer-Verlag
[Roo94] Roos Th., "Maintaining Voronoi Diagrams in Parallel", Proc. 27th IEEE Annual Hawaii International Conference on System Sciences, Software Technology Track (Vol. 2), 1994, pp 179-186
[SR94] SR-2506 4.0, "Cray Standard C Reference Manual for MPP", Cray Research Inc., 1994
[Ten93] Teng Y.A. et al., "A data-parallel algorithm for three-dimensional Delaunay triangulation and its implementation", proceedings of Supercomputing '93, Portland, Oregon, November 15-19, 1993, pp. 112-121
[TR94] TR-T3DAPPL, "Cray T3D Applications Programming", Cray Research Inc., 1994
[War93] Warren M.S., Salmon J.K., "A parallel hashed oct-tree N-boby algorithm", proceedings of Supercomputing '93, Portland, Oregon, November 15-19, 1993, pp. 12-21


7. Autres références

[All87] Allen M.P., Tildesley D.J., Computer simulation of liquids, Clarendon Press, Oxford, 1987
[Brad87] Brady B.H.G., "Boundary element and linked methods for underground excavation design, in [Bro87], pp. 164-204
[Bra87] Brassard G., Bratley P., Algorithmique, conception et analyse, Masson, Paris, 1987
[Col66] Collatz L., The numerical treatment of differential equations, Springer-Verlag, New York, 1966
[Gar79] Garey M.R., Johnson D.S., Computers and intractability: a guide to the theory of NP-completeness, W.H. Freeman & Co, New York, 1979
[Ham69] Hamilton W.R., Elements of quaternions, 3rd edition, New York, Chelsea, 1969
[Jac96] Jacques J., "Le hasard trouve bien des choses", Pour la Science, Dossier hors-série, Avril 1996, pp. 48-52
[Ker94] Kernighan B.W., Ritchie D.M., Le langage C, Masson, 1994
[Mag82] Magnenat-Thalmann N. et al., Le langage Pascal ISO avec Pascal 6000 et Pascal UCSD, Gaetan Morin éditeur, 2e édition, 1982
[Met53] Metropolis N. et al., "Equation of state calculation by fast computing machines", J. Chem. Phys. B 28, 1953, pp. 1087-1092
[Mul95] Muller J.-M., "Ordinateurs en quête d'arithmétique", La Recherche 278, juillet-août 1995, vol. 26, pp. 772-777
[Pem80] Petite encyclopédie des mathématiques, 2e édition, Editions K. Pagoulatos, Paris, 1980
[Ral78] Ralston A., Rabinowitz Ph., A first course in numerical analysis, 2nd edition, International Student Edition, McGraw - Hill, 1978
[Rig92] Righetti F., Modélisation 3-D d'amas polycristallins et méthodologie d'analyse de leurs images microscopiques, Thèse EPFL no 1016, Lausanne, 1992
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[Tel85] Telley H., "Morphological description of sintered polycrystals, 1ère partie: méthode des contours polygonaux en analyse d'images", rapport interne RO 851015, Octobre 1985
[Tel89] Telley H., Modélisation et simulation bidimensionnelle de la croissance des polycristaux, Thèse EPFL no 780, Lausanne, 1989
[Tel93] Telley H., Liebling Th.M., Mocellin A., "The Laguerre model of grain growth", rapport interne RO 931024, Octobre 1993
[Vel89] Velarde M., Normand Ch., "La convection", in L'ordre du chaos, Editions Belin, 1989, pp. 146-166
[Xue95] Xue, X., Laguerre models for grain growth, Thèse EPFL no 1466, Lausanne, 1995
[Zie89] Zienkiewicz O.C., Taylor R.L., The finite element method (2 vol.), 4th edition, McGraw-Hill, London, 1989


8. Rapports et articles produits au cours de cette thèse

[Cou96] Courvoisier D., "Production automatique d'animations", travail de semestre EPFL, mars 1996
[Don94] Donini P., "Stone: modélisation probabiliste d'un milieu granulaire", travail de diplôme EPFL, mars 1994
[Fer95a] Ferrez J.-A., "Parallélisme et milieux granulaires", travail de diplôme EPFL, mars 1995
[Fer95b] Ferrez J.-A., Müller D., "Parallel Implementation of Cundall's Model on the Cray T3D", rapport interne RO 950606, juin 1995, disponible via WWW à l'adresse : http://roso.epfl.ch/papers/paracundall/paracundall.html
[Lan96] Landry Ph., "Automate cellulaire 3D. Simulation d'un tas de sable", travail de semestre EPFL, mars 1996
[Mon94] Mongelli G., "Paraballast: parallélisation du programme Simballast", travail de diplôme EPFL, mars 1994
[Mül93a] Müller D., Liebling Th.M., "Rapport de la préétude du projet Simballast", rapport interne RO 930301, mars 1993
[Mül93b] Müller D., Telley H., Liebling Th.M., "2-D simulation of a granular medium composed of polygonal grains", rapport interne RO 931111, novembre 1993
[Mül94] Müller D., Simulations of granular media, pages World Wide Web disponibles aux adresses URL : http://www.apprendre-en-ligne.net/auteur/roso/sigma.html (version anglaise) et http://www.apprendre-en-ligne.net/auteur/roso/sigma_fr.html (version française)
[Mül95] Müller D., Liebling Th.M., "Detection of Collisions of Polygons by Using a Triangulation", in [Rao95] pp. 369-372
[Mül96a] Müller D., "Simulation de la chute d'un bloc rocheux sur un remblai", rapport interne RO 960404 avril 1996
[Mül96b] Müller D., "Using triangulations in computer simulations of granular media", to appear in Mathematical Modelling and Scientific Computing, Vol. 6, 1996
[Str95] Stragiotti P., "Spacepool, billard 3D", travail de diplôme EPFL, mars 1995


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Last updated on May 23, 1996