Towards dense, realistic granular media in 2D
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[1] Stefan Luding,et al. Liquid-solid Transition in Bidisperse Granulates , 2001, Adv. Complex Syst..
[2] S. Yukawa,et al. PARTICLE DYNAMICS SIMULATIONS OF THE NAVIER–STOKES FLOW WITH HARD DISKS , 2004 .
[3] V. Garzó,et al. Dense fluid transport for inelastic hard spheres. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[4] Dynamics of inelastically colliding spheres with Coulomb friction: Relaxation of translational and rotational energy , 1999, cond-mat/9911306.
[5] D. Frenkel,et al. Optimal packing of polydisperse hard-sphere fluids , 1998, cond-mat/9811404.
[6] P. Steinmann. Theory and numerics of ductile micropolar elastoplastic damage , 1995 .
[7] Evgeniy Khain,et al. Hydrodynamics of fluid-solid coexistence in dense shear granular flow. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.
[8] M D Shattuck,et al. Crystallization of a quasi-two-dimensional granular fluid. , 2006, Physical review letters.
[9] Aleksandar Donev,et al. Neighbor list collision-driven molecular dynamics simulation for nonspherical hard particles. I. Algorithmic details , 2005 .
[10] P. Steinmann. A micropolar theory of finite deformation and finite rotation multiplicative elastoplasticity , 1994 .
[11] I. Goldhirsch,et al. Nearly smooth granular gases. , 2005, Physical review letters.
[12] Charles S. Campbell,et al. RAPID GRANULAR FLOWS , 1990 .
[13] Mesoscopic theory of granular fluids , 1997, cond-mat/9706079.
[14] P. Haff. Grain flow as a fluid-mechanical phenomenon , 1983, Journal of Fluid Mechanics.
[15] G. Midi,et al. On dense granular flows , 2003, The European physical journal. E, Soft matter.
[16] Ekkehard Ramm,et al. Two-dimensional dynamic simulation of fracture and fragmentation of solids , 1999 .
[17] Random inelasticity and velocity fluctuations in a driven granular gas , 2002, The European physical journal. E, Soft matter.
[18] Aleksandar Donev,et al. Underconstrained jammed packings of nonspherical hard particles: ellipses and ellipsoids. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.
[19] Troy Shinbrot,et al. Coexisting static and flowing regions in a centrifuging granular heap , 2007 .
[20] H. Kawamura. A Simple Theory of Hard Disk Transition , 1979 .
[21] Shear state of freely evolving granular gases. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.
[22] M. Ernst,et al. Velocity distributions in homogeneous granular fluids: the free and the heated case , 1998 .
[23] Shi Jin,et al. Regularization of the Burnett Equations via Relaxation , 2001 .
[24] L. Tsimring,et al. Nonlocal rheological properties of granular flows near a jamming limit. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.
[25] Wolfram Volk,et al. From discrete element simulations to a continuum model , 2000 .
[26] G. Grest,et al. Granular flow down an inclined plane: Bagnold scaling and rheology. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.
[27] J. S. Urbach,et al. CLUSTERING, ORDER, AND COLLAPSE IN A DRIVEN GRANULAR MONOLAYER , 1998 .
[28] A driven two-dimensional granular gas with Coulomb friction , 2005, cond-mat/0501223.
[29] James F Lutsko. Chapman-Enskog expansion about nonequilibrium states with application to the sheared granular fluid. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.
[30] Stefan Luding,et al. On contact numbers in random rod packings , 2009 .
[31] Hans Muhlhaus,et al. Continuum models for materials with microstructure , 1995 .
[32] S. Luding,et al. Energy nonequipartition in systems of inelastic, rough spheres , 1998, cond-mat/9805257.
[33] Stefan Luding. Structures and non-equilibrium dynamics in granular media , 2002 .
[34] J. Jenkins,et al. Kinetic theory for identical, frictional, nearly elastic spheres , 2002 .
[35] Two-dimensional granular gas of inelastic spheres with multiplicative driving. , 2000, Physical review letters.
[36] V. Garzó. Brazil-nut effect versus reverse Brazil-nut effect in a moderately dense granular fluid. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.
[37] Alexander Schinner,et al. Fast algorithms for the simulation of polygonal particles , 1999 .
[38] D. C. Hong. Effect of Excluded Volume and Anisotropy on Granular Statistics , 1999, cond-mat/9909252.
[39] Andrés Santos,et al. Dissipative dynamics for hard spheres , 1997 .
[40] Validity of the Boltzmann equation to describe low-density granular systems. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.
[41] Velocity correlations in dense granular shear flows: effects on energy dissipation and normal stress. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.
[42] N. P. Kruyt,et al. Statics and kinematics of discrete Cosserat-type granular materials , 2003 .
[43] S S C A M P B E,et al. Granular shear flows at the elastic limit , 2022 .
[44] James T. Jenkins,et al. Balance Laws and Constitutive Relations for Plane Flows of a Dense, Binary Mixture of Smooth, Nearly Elastic, Circular Disks , 1987 .
[45] Jörg Schwedes,et al. Fließverhalten von Schüttgütern in Bunkern , 1976 .
[46] J. Hansen,et al. Dynamics and growth of particles undergoing ballistic coalescence , 1996 .
[47] S. Luding,et al. Collisional cooling with multi-particle interactions , 2003 .
[48] M. Louge,et al. Towards a theoretical picture of dense granular flows down inclines. , 2007, Nature materials.
[49] Prabhu R. Nott,et al. A frictional Cosserat model for the slow shearing of granular materials , 2002, Journal of Fluid Mechanics.
[50] H. Herrmann,et al. Driven Granular Gases , 2003 .
[51] Michael Müller. Long-range interactions in dilute granular systems , 2008 .
[52] M.G.B. Drew,et al. The art of molecular dynamics simulation , 1996 .
[53] S. Herminghaus,et al. Phase transitions far from equilibrium in wet granular matter , 2008 .
[54] Detlef Lohse,et al. Phase diagram of vertically shaken granular matter , 2006, physics/0608283.
[55] Characterization of a freezing/melting transition in a vibrated and sheared granular medium , 2005, cond-mat/0512549.
[56] R. Behringer,et al. Hysteresis and competition between disorder and crystallization in sheared and vibrated granular flow. , 2004, Physical review letters.
[57] Hydrodynamic model for particle size segregation in granular media , 2002, cond-mat/0202484.
[58] First normal stress difference and crystallization in a dense sheared granular fluid , 2003, cond-mat/0306689.
[59] H. Mühlhaus,et al. On the Reality of Antisymmetric Stresses in Fast Granular Flows , 1997 .
[60] Antoinette Tordesillas,et al. A thermomechanical approach to the development of micropolar constitutive models of granular media , 2004 .
[61] Clara Saluena,et al. Granular hydrodynamics and pattern formation in vertically oscillated granular disk layers , 2006, Journal of Fluid Mechanics.
[62] G. Grest,et al. Relationship between interparticle contact lifetimes and rheology in gravity-driven granular flows. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.
[63] J. Brey,et al. Kinetic model for the hard-sphere fluid and solid , 1998 .
[64] J. Hutchinson,et al. Use, misuse and extensions of “ideal gas” models of animal encounter , 2007, Biological reviews of the Cambridge Philosophical Society.
[65] Luding. Granular materials under vibration: Simulations of rotating spheres. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[66] Thorsten Pöschel,et al. Granular Gas Dynamics , 2010 .
[67] Mark J. Biggs,et al. Particle dynamics in a dense vibrated fluidized bed as revealed by diffusing wave spectroscopy , 2008 .
[68] K. Weele. Granular gas dynamics: how Maxwell's demon rules in a non-equilibrium system , 2008 .
[69] N. Aksel,et al. Transition pathways between solid and liquid state in suspensions. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.
[70] Santos,et al. Practical Kinetic Model for Hard Sphere Dynamics. , 1996, Physical review letters.
[71] B. Brogliato,et al. Energy dissipation and dispersion effects in granular media. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.
[72] Applicability of constitutive relations from kinetic theory for dense granular flows. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.
[73] M D Shattuck,et al. Transport coefficients for granular media from molecular dynamics simulations. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[74] Stefan Luding,et al. From discontinuous models towards a continuum description , 2001 .
[75] Editors , 1986, Brain Research Bulletin.
[76] S. Luding,et al. On the fabric tensor of polydisperse granular materials in 2D , 2004 .
[77] Hans Jürgen Herrmann,et al. Hydrodynamic theory for reverse brazil nut segregation and the non-monotonic ascension dynamics , 2006, 0802.0063.
[78] H. Herrmann,et al. Powders and Grains 2005, Two Volume Set : Proceedings of the International Conference on Powders & Grains 2005, Stuttgart, Germany, 18-22 July 2005 , 2005 .
[79] S. Luding,et al. Cluster-growth in freely cooling granular media. , 1999, Chaos.
[80] Franco Nori,et al. Wet granular materials , 2006, cond-mat/0601660.
[81] S. Luding,et al. Energy nonequipartition, rheology, and microstructure in sheared bidisperse granular mixtures , 2005 .
[82] S. Yukawa,et al. Energy Transport in Multiphase System , 2003 .
[83] D. Frenkel,et al. Phase separation in binary hard-core mixtures , 1994 .
[84] B. Alder,et al. Radial Distribution Functions and the Equation of State of a Fluid Composed of Rigid Spherical Molecules , 1950 .
[85] S. Luding,et al. Reverse Brazil nut problem: competition between percolation and condensation. , 2000, Physical review letters.
[86] S. Miller,et al. Event-driven molecular dynamics in parallel , 2004 .
[87] F. Stillinger,et al. Improving the Density of Jammed Disordered Packings Using Ellipsoids , 2004, Science.
[88] Jonathan M. Huntley,et al. Novel method for measurement of granular temperature distributions in two-dimensional vibro-fluidised beds , 2000 .
[89] E. Azanza,et al. Experimental study of collisional granular flows down an inclined plane , 1999, Journal of Fluid Mechanics.
[90] Ailing Gong,et al. The stress tensor in a two-dimensional granular shear flow , 1986, Journal of Fluid Mechanics.
[91] Close-packed granular clusters: hydrostatics and persistent Gaussian fluctuations , 2007, cond-mat/0701449.
[92] F. Stillinger,et al. Neighbor list collision-driven molecular dynamics simulation for nonspherical hard particles. II. Applications to ellipses and ellipsoids , 2005 .
[93] Granular flow, collisional cooling and charged grains , 1999, cond-mat/9909205.
[94] R. Soto,et al. Rise of a Brazil nut: a transition line. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.
[95] I. Goldhirsch,et al. Weakly Frictional Granular Gases , 2005 .
[96] C. Campbell. Stress-controlled elastic granular shear flows , 2005, Journal of Fluid Mechanics.
[97] S. Luding. Structure and cluster formation in granular media , 2005 .
[98] S. Luding,et al. Kinetic theory of a binary mixture of nearly elastic disks with size and mass disparity , 2002 .
[99] James T. Jenkins,et al. Kinetic theory for plane flows of a dense gas of identical, rough, inelastic, circular disks , 1985 .
[100] M. H. Ernst,et al. Extension of Haff's cooling law in granular flows , 1998 .
[101] I. Goldhirsch,et al. Clustering instability in dissipative gases. , 1993, Physical review letters.
[102] S. Herminghaus,et al. Equation of state of wet granular matter. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.
[103] S. Luding,et al. Transport coefficients for dense hard-disk systems. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.
[104] Aleksandar Donev,et al. Neighbor list collision-driven molecular dynamics simulation for nonspherical hard particles. , 2005 .
[105] S Luding,et al. Cluster growth in two- and three-dimensional granular gases. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.
[106] E. Cosserat,et al. Théorie des Corps déformables , 1909, Nature.
[107] F. Zamponi. Some recent theoretical results on amorphous packings of hard spheres , 2006 .
[108] Thorsten Pöschel,et al. Computational Granular Dynamics , 2005 .
[109] S. Luding,et al. Molecular dynamics and theory for the contact values of the radial distribution functions of hard-disk fluid mixtures. , 2004, The Journal of chemical physics.
[110] Yulong Ding,et al. Assessment of the kinetic–frictional model for dense granular flow , 2008 .
[111] H. Hayakawa,et al. Rheology of a granular gas under a plane shear. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.
[112] F. Stillinger,et al. Configurational entropy of binary hard-disk glasses: nonexistence of an ideal glass transition. , 2007, The Journal of chemical physics.
[113] J. Davenport. Editor , 1960 .
[114] Enskog theory for polydisperse granular mixtures. II. Sonine polynomial approximation. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.
[115] First-order phase transition and the equation of state in a 2D granular fluid , 2006, cond-mat/0610839.
[116] Stefan Luding,et al. Homogeneous Cooling with Repulsive and Attractive Long‐range Interactions , 2009 .
[117] J. Jenkins,et al. Plane simple shear of smooth inelastic circular disks: the anisotropy of the second moment in the dilute and dense limits , 1988, Journal of Fluid Mechanics.
[118] A. Zippelius,et al. Translations and rotations are correlated in granular gases. , 2006, Physical review letters.
[119] Ring kinetic theory for an idealized granular gas , 1997, cond-mat/9706020.
[120] J. Brey,et al. Kinetic Models for Granular Flow , 1999 .
[121] Stefan Luding,et al. Ultrafine Cohesive Powders: From Interparticle Contacts to Continuum Behaviour , 2007 .
[122] Thomas M Truskett,et al. Is random close packing of spheres well defined? , 2000, Physical review letters.
[123] J. Goddard. Material instability in complex fluids , 2003 .
[124] S. Luding. Surface Waves and Pattern Formation in Vibrated Granular Beds , 1997 .
[125] Spahn,et al. Model for collisions in granular gases. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[126] Rosenau,et al. Extending hydrodynamics via the regularization of the Chapman-Enskog expansion. , 1989, Physical review. A, General physics.
[127] S. B. Yuste,et al. Contact values of the radial distribution functions of additive hard-sphere mixtures in d dimensions: A new proposal , 2002, cond-mat/0203182.
[128] Stefan Luding,et al. Molecular Dynamics Simulations of Granular Materials , 2004 .
[129] V. Kumaran. Dense granular flow down an inclined plane: from kinetic theory to granular dynamics , 2008, Journal of Fluid Mechanics.
[130] Douglas Henderson,et al. A simple equation of state for hard discs , 1975 .
[131] S. Luding,et al. The Equation of State for Almost Elastic, Smooth, Polydisperse Granular Gases for Arbitrary Density , 2001 .
[132] W. Cotton,et al. The Variability of Polarized Radiation from Sgr A , 2007 .
[133] Emergence of multi-contact interactions in contact dynamics simulations of granular shear flows , 2006 .
[134] Heated granular fluids: The random restitution coefficient approach , 2001, cond-mat/0101158.
[135] Randomly driven granular fluids: collisional statistics and short scale structure. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.
[136] Michel Y. Louge,et al. Measurements of the collision properties of small spheres , 1994 .
[137] Clément,et al. Anomalous energy dissipation in molecular-dynamics simulations of grains: The "detachment" effect. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[138] Bulbul Chakraborty,et al. Jamming in systems composed of frictionless ellipse-shaped particles. , 2008, Physical review letters.
[139] D. Cubero,et al. Hydrodynamic Transport Coefficients of Granular Gases , 2001 .
[140] H. Hayakawa,et al. Universal Scaling for the Jamming Transition , 2008, 0809.0171.
[141] M. Louge,et al. Rheology of confined granular flows: scale invariance, glass transition, and friction weakening. , 2008, Physical review letters.
[142] Andrei V. Metrikine,et al. Comparison of wave propagation characteristics of the Cosserat continuum model and corresponding discrete lattice models , 2001 .
[143] Linear response and hydrodynamics for granular fluids. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.
[144] Meheboob Alam. Streamwise structures and density patterns in rapid granular Couette flow: a linear stability analysis , 2006, Journal of Fluid Mechanics.
[145] Stefan Luding,et al. Granular media: Information propagation , 2005, Nature.
[146] Transport coefficients for an inelastic gas around uniform shear flow: linear stability analysis. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.
[147] E. Ben-Naim,et al. Towards granular hydrodynamics in two dimensions , 1996, cond-mat/9607165.
[148] Hansen,et al. Dynamic scaling behavior of ballistic coalescence. , 1995, Physical review letters.
[149] C. F. Curtiss,et al. The Free Volume for Rigid Sphere Molecules , 1951 .
[150] R. Jackson,et al. Frictional–collisional constitutive relations for granular materials, with application to plane shearing , 1987, Journal of Fluid Mechanics.
[151] Stefan Luding,et al. How to handle the inelastic collapse of a dissipative hard-sphere gas with the TC model , 1998, cond-mat/9810009.
[152] I. Goldhirsch,et al. Hydrodynamic equations for rapid flows of smooth inelastic spheres, to Burnett order , 1998, Journal of Fluid Mechanics.
[153] Aleksandar Donev,et al. Pair correlation function characteristics of nearly jammed disordered and ordered hard-sphere packings. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.
[154] Transitions among crystal, glass, and liquid in a binary mixture with changing particle-size ratio and temperature. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.
[155] F. Stillinger,et al. Alternative view of self-diffusion and shear viscosity. , 2005, The journal of physical chemistry. B.
[156] Lev S. Tsimring,et al. Patterns and collective behavior in granular media: Theoretical concepts , 2006 .
[157] J. Talbot,et al. Anisotropic energy distribution in three-dimensional vibrofluidized granular systems. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.
[158] Contact values of the particle-particle and wall-particle correlation functions in a hard-sphere polydisperse fluid. , 2005, The Journal of chemical physics.
[159] F. Stillinger,et al. Toward the jamming threshold of sphere packings: Tunneled crystals , 2007, 0707.4263.
[160] Thorsten Pöschel,et al. Transient clusters in granular gases , 2005 .
[161] R. Borst. SIMULATION OF STRAIN LOCALIZATION: A REAPPRAISAL OF THE COSSERAT CONTINUUM , 1991 .
[162] K. E. Starling,et al. Equation of State for Nonattracting Rigid Spheres , 1969 .
[163] Grégoire Nicolis,et al. Theoretical evidence for a dense fluid precursor to crystallization. , 2006, Physical review letters.
[164] D. Zhang. Evolution of enduring contacts and stress relaxation in a dense granular medium. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.
[165] Kolumban Hutter,et al. A new kinetic model for rapid granular flow , 1995 .
[166] Stefan Luding,et al. From microscopic simulations to macroscopic material behavior , 2002 .
[167] H. Hinrichsen,et al. The Physics of Granular Media: HINRICHSEN:GRANULAR MEDIA O-BK , 2004 .
[168] Sean McNamara,et al. Hydrodynamic modes of a uniform granular medium , 1993 .
[169] From discrete element simulations towards a continuum description of particulate solids , 2001 .
[170] I. Goldhirsch,et al. Hydrodynamics of granular gases and granular gas mixtures , 2006, Journal of Fluid Mechanics.
[171] T. Liebling,et al. Three-dimensional distinct element simulation of spherocylinder crystallization , 2005 .
[172] S. Luding,et al. Energy flows in vibrated granular media , 1998 .
[173] Ginzburg-Landau theory of the liquid-solid interface and nucleation for hard spheres. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.
[174] Clustering Instabilities, Arching, and Anomalous Interaction Probabilities as Examples for Cooperative Phenomena in Dry Granular Media , 1998, cond-mat/9810116.
[176] Germany,et al. Simulations of pattern formation in vibrated granular media , 1996 .
[177] Runyu Yang,et al. Discrete particle simulation of particulate systems: A review of major applications and findings , 2008 .
[178] I. Goldhirsch,et al. Kinetic theoretical study of a simply sheared two‐dimensional granular gas to Burnett order , 1996 .
[179] S. Luding,et al. How good is the equipartition assumption for the transport properties of a granular mixture? , 2002 .
[180] J. Lutsko. Transport properties of dense dissipative hard-sphere fluids for arbitrary energy loss models. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.
[181] S Luding. Global equation of state of two-dimensional hard sphere systems. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.
[182] E. Khain. Bistability and hysteresis in dense shear granular flow , 2009 .
[183] D. Lhuillier. Constitutive relations for steady flows of dense granular liquids , 2007 .
[184] H. Herrmann,et al. Physics of dry granular media , 1998 .
[185] Haye Hinrichsen,et al. The physics of granular media , 2004 .
[186] I. Goldhirsch,et al. Green-Kubo relations for granular fluids , 2000 .
[187] J. Jenkins. Dense shearing flows of inelastic disks , 2006 .
[188] K. K. Rao. Statics and kinematics of granular materials , 1995 .
[189] Kumbakonam R. Rajagopal,et al. On flows of granular materials , 1994 .
[190] Frenkel,et al. Evidence for entropy-driven demixing in hard-core fluids. , 1994, Physical review letters.
[191] Stefan Luding,et al. Rheology of bidisperse granular mixtures via event-driven simulations , 2003, Journal of Fluid Mechanics.
[192] Shirley Dex,et al. JR 旅客販売総合システム(マルス)における運用及び管理について , 1991 .
[193] J. Brey,et al. Steady state of a fluidized granular medium between two walls at the same temperature , 1998 .
[194] University of Chicago,et al. Excitations of ellipsoid packings near jamming , 2009, 0904.1558.
[195] M. Slemrod. Constitutive Relations for Rapid Granular Flow of Smooth Spheres: Generalized Rational Approximation to the Sum of the Chapman–Enskog Expansion , 2001 .
[196] D. E. Wolf,et al. Collision rates in charged granular gases , 2002 .
[197] S. Fauve,et al. Energy and power fluctuations in vibrated granular gases , 2004 .
[198] Andrés Santos,et al. Hydrodynamics for granular flow at low density , 1998 .
[199] P. Grassberger,et al. Friction, Arching, Contact Dynamics , 1997 .
[200] Young,et al. Dynamics of a freely evolving, two-dimensional granular medium. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[201] D. Jeffrey,et al. Kinetic theories for granular flow: inelastic particles in Couette flow and slightly inelastic particles in a general flowfield , 1984, Journal of Fluid Mechanics.
[202] Torquato. Nearest-neighbor statistics for packings of hard spheres and disks. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[203] S. Luding,et al. Universality of shear-banding instability and crystallization in sheared granular fluid , 2008, Journal of Fluid Mechanics.
[204] I. Vardoulakis,et al. Bifurcation Analysis in Geomechanics , 1995 .
[205] H. Schaefer,et al. Das Cosserat Kontinuum , 1967 .
[206] Boris D. Lubachevsky,et al. How to Simulate Billiards and Similar Systems , 1991, ArXiv.