Citation: | SUN Q C., Xiaoxing LIU, Guohua ZHANG, Chuanqi LIU, Feng JIN. The mesoscopic structures of dense granular materials[J]. Advances in Mechanics, 2017, 47(1): 263-308. doi: 10.6052/1000-0992-16-021 |
冯旭, 张国华, 孙其诚. 2013. 颗粒尺寸分散度对颗粒体系力学和几何结构特性的影响. 物理学报, 62:184501 http://www.cnki.com.cn/Article/CJFDTOTAL-WLXB201318042.htm
Feng X, Zhang G H, Sun Q C. 2013. Effects of size polydispersity on mechanical and geometrical properties of granular system. Acta Physica Sinica, 62: 184501 http://www.cnki.com.cn/Article/CJFDTOTAL-WLXB201318042.htm
|
黄文熙. 1983. 土的工程性质. 北京: 水利电力出版社
Huang W X. 1983. Engineering Properties of Soil. Beijing: China Water & Power Press
|
李广信. 2006. 土的清华弹塑模型及其发展. 岩土工程学报, 28: 1-10 http://www.cnki.com.cn/Article/CJFDTOTAL-YTGC200601000.htm
Li G X. 2006. Characteristics and development of Tsinghua elasto-plastic model for soil. Chinese Journal of Geotechnical Engineering, 28:1-10 http://www.cnki.com.cn/Article/CJFDTOTAL-YTGC200601000.htm
|
李家春. 2014. 中国学科发展战略: 流体动力学. 北京: 科学出版社
Li J C. 2014. Development Strategy of China Discipline: Fluid Dynamics. Beijing: Science Press
|
沈珠江. 2000. 理论土力学. 北京: 中国水利水电出版社
Shen J Z. 2000. Theoretical Soil Mechanics. Beijing: China Water & Power Press
|
孙其诚, 厚美瑛, 金峰等. 2011. 颗粒物质物理与力学. 北京: 科学出版社
Sun Q C, Hou M Y, Jin F, et al. 2011. Physics and Mechanics of Granular Materials. Beijing: Science Press
|
孙其诚, 王光谦. 2009. 颗粒介质力学导论. 北京: 科学出版社
Sun Q C, Wang G Q. 2009. Introduction to Granular Mechanics. Beijing: Science Press
|
孙其诚, 王光谦. 2008. 颗粒流动力学及其离散模型评述. 力学进展, 38: 87-100 http://lxjz.m.koryoan.com/CN/abstract/abstract132944.shtml
Sun Q C, Wang G Q. 2008. Review on granular flow dynamics and its discrete element method. Advances In Mechanics, 38:87-100 http://lxjz.m.koryoan.com/CN/abstract/abstract132944.shtml
|
汪卫华. 2013. 非晶态物质的本质和特性. 物理学进展, 33: 177-351 http://www.cnki.com.cn/Article/CJFDTOTAL-WLXJ201305001.htm
Wang W H. 2013. The nature and properties of amorphous matter. Progress in Physics, 33: 177-351 http://www.cnki.com.cn/Article/CJFDTOTAL-WLXJ201305001.htm
|
张攀, 赵雪丹, 张国华等. 2016. 垂直载荷下颗粒物质的声波探测和非线性响应. 物理学报, 65: 024501 http://www.cnki.com.cn/Article/CJFDTOTAL-WLXB201602027.htm
Zhang P, Zhao X D, Zhang G H, et al. 2016. Acoustic detection and nonlinear response of granular materials under vertical vibrations. Acta Physica Sinica, 65: 024501 http://www.cnki.com.cn/Article/CJFDTOTAL-WLXB201602027.htm
|
Ai J, Chen J F, Rotter J R, Ooi J Y. 2011. Assessment of rolling resistance models in discrete element simulations. Powder Technology, 206: 269-282 doi: 10.1016/j.powtec.2010.09.030
|
Aoki K M, Akiyama T. 1995. Simulation studies of pressure and density wave propagations in vertically vibrated beds of granules. Physical Review E, 52: 3288-3291 doi: 10.1103/PhysRevE.52.3288
|
Basu A, Xu Y, Still T, Arratia P E, Zhang Z, Nordstrom K N, Rieser J M, Gollub J P, Durian D J, Yodh A G. 2014. Rheology of soft colloids across the onset of rigidity: scaling behavior, thermal, and non-thermal responses. Soft Matter, 10: 3027-3035 doi: 10.1039/c3sm52454j
|
Bandyopadhyay R, Gittings A S, Suh S S, Dixon P K, Durian D J. 2005. Speckle-visibility spectroscopy: a tool to study time-varying dynamics. Review of Scientific Instruments, 76: 093110 doi: 10.1063/1.2037987
|
Bardet J P, Huang Q. Rotational stiffness of cylindrical particle contacts//Proceedings of the Second In-ternational Conference on Micromechanics of Granular Media, Birmingham, UK. Thornton C ed., A. A. Balkema: 39-44.
|
Baxter J, Tüzün U, Burnell J, Heyes D M. 1997. Granular dynamics simulation of two-dimensional heap formation. Physical Review E, 55: 3546-3554 doi: 10.1103/PhysRevE.55.3546
|
Bi D, Zhang J, Chakraborty B, Behringer R P. 2011. Jamming by shear. Nature, 480: 355-358 doi: 10.1038/nature10667
|
Brilliantov N V, Spahn F, Hertzsch J, Poeschel T. 1996. Model for collisions in granular gases. Physical Review E, 53: 5382-5392 doi: 10.1103/PhysRevE.53.5382
|
Brunet T, Jia X, Johnson P A. 2008. Transitional nonlinear elastic behaviour in dense granular media. Geophysical Research Letters, 35: L19308 doi: 10.1029/2008GL035264
|
Chai L, Wu X, Liu C S. 2014. A universal scaling law of grain chain elasticity under pressure revealed by a simple force vibration method. Soft Matter, 10: 6614-6618 doi: 10.1039/C4SM00727A
|
Chen K, ManningML, Yunker P J, EllenbroekWG, Zhang Z, Liu A J, Yodh A G. 2011. Measurement of cor-relations between low-frequency vibrational modes and particle rearrangements in quasi-two-dimensional colloidal glasses. Physical Review Letters, 107: 108301 doi: 10.1103/PhysRevLett.107.108301
|
Cheng Y Q, Ma E. 2011. Atomic-level structure and structure-property relationship in metallic glasses. Progress in Materials Science, 56: 379-473 doi: 10.1016/j.pmatsci.2010.12.002
|
Chou H T, Lee C F. 2009. Cross-sectional and axial flow characteristics of dry granular material in rotating drums. Granular Matter, 11: 13-32 doi: 10.1007/s10035-008-0118-y
|
Ciamarra M P, Pastore R, Nicodemi M, Coniglio A. 2011. Jamming phase diagram for frictional particles. Physical Review E, 84: 041308 doi: 10.1103/PhysRevE.84.041308
|
Chialvo S, Sun J, Sundaresan S. 2012. Bridging the rheology of granular flows in three regimes. Physical Review E, 85: 0121305 doi: 10.1103/PhysRevB.85.121305
|
Clark A H, Petersen A J, Kondic L, Behringer R P. 2015. Nonlinear force propagation during granular impact. Physical Review Letters, 114: 144502 doi: 10.1103/PhysRevLett.114.144502
|
Cooke M H, Bridgwater J. 1982. The simulation of a particle disperse. Powder Technology, 33: 239-247 doi: 10.1016/0032-5910(82)85062-6
|
Cubuk E D, Schoenholz S S, Rieser J M, Malone B D, Rottler J, Durian D J, Kaxiras E, Liu A J. 2015. Identifying structural flow defects in disordered solids using machine-learning methods. Physical Review Letters, 114: 108001 doi: 10.1103/PhysRevLett.114.108001
|
Cundall P A. 1971. 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. 1: 132-150.
|
Cundall P A, Strack O D L. 1979. A Discrete Numerical Model for Granular Assemblies. Geotechnique, 29:47-65 doi: 10.1680/geot.1979.29.1.47
|
Cundall P A. 1982. Adaptive Density-Scaling for Time-Explicit Calculations//Proceedings of the 4th Inter-national Conference on Numerical Methods in Geomechanics (Edmonton, 1982) , 1, Rotterdam: Balkema:23-26.
|
Deen N G W, Dijkhuizen W, Bokkers G A. 2004. Validation of the granular temperature prediction of the kinetic theory of granular flow by particle image velocimetry and discrete particle model//The Third International Symposium on Two-Phase flow Modelling and experimentation: 22-23.
|
Di Renzo A, Di Maio F P. 2004. Comparison of contact-force models for the simulation of collisions in DEM-based granular flow codes. Chemical Engineering Science, 59: 525-541 doi: 10.1016/j.ces.2003.09.037
|
Domenico S N. 1977. Elastic properties of unconsolidated porous sand reservoirs. Geophysics, 42: 1339-1368 doi: 10.1190/1.1440797
|
Dong Y, Zhang G, Sun Q, Zhao X, Niu X. 2015. Analysis of low-frequency vibrational modes and particle rearrangements in marginally jammed amorphous solid under quasi-static shear. Chinese Physical Letters, 32: 126201 doi: 10.1088/0256-307X/32/12/126201
|
Dzubiella J, Hoffmann G P, Löwen H. 2002. Lane formation in colloidal mixtures driven by an external field. Physical Review E, 65, 021402 https://www.researchgate.net/publication/11497618_Lan
|
Gan J, Zhou Z, Yu A B. 2016. Particle scale study of heat transfer in packed and fluidized beds of ellipsoidal particles. Chemical Engineering Science, 144: 201-215 doi: 10.1016/j.ces.2016.01.041
|
Goodrich C P, Liu A J, Nagel S R. 2014. Solids between the mechanical extremes of order and disorder. Nature Physics, 10: 578-581 doi: 10.1038/nphys3006
|
Helbing D. 2001. Traffic and related self-driven many-particle systems. Review of Modern Physics, 73:1067-1141 doi: 10.1103/RevModPhys.73.1067
|
Hoomans B P B. 1999. Granular dynamics of gas-solid two-phase flows. [PhD Thesis]. Nertherland:University of Twente.
|
Hussainova I, Kubarsepp J, Shcheglov I. 1999. Investigation of impact of solid particles against hardmetal and cement targets. Tribology International, 32: 337-344 doi: 10.1016/S0301-679X(99)00073-0
|
Iwashita K, Oda M. 1998. Rolling resistance at contacts in simulation of shear band development by DEM. Journal of Engineering Mechanics, 124: 285-292 doi: 10.1061/(ASCE)0733-9399(1998)124:3(285)
|
Iwashita K, Oda M. 2000. Micro-deformation mechanism of shear banding process based on modified distinct element method. Powder Technology, 109: 192-205 doi: 10.1016/S0032-5910(99)00236-3
|
Jaeger H M, Nagel S R, Behringer R P. 1996. Granular solids, liquids, and gases. Review of Modern Physics, 68: 1259-1273 doi: 10.1103/RevModPhys.68.1259
|
Jefferson G, Haritos G K, McMeeking R M. 2002. The elastic response of a cohesive aggregate-a discrete element model with coupled particle interaction. Journal of the Mechanics and Physics of Solids, 50:2539-2575 doi: 10.1016/S0022-5096(02)00051-0
|
Jiang M J, Yu H S, Harris D. 2005. A novel discrete model for granular material incorporating rolling resistance. Computers and Geotechnics, 32: 340-357 doi: 10.1016/j.compgeo.2005.05.001
|
Jia X, Caroli C, Velicky B. 1999. Ultrasound propagation in externally stressed granular media. Physical Review Letters, 82: 1863-1866 doi: 10.1103/PhysRevLett.82.1863
|
Jiang Y M, Liu M. 2009. Granular solid hydrodynamics. Granular Matter, 11: 139-156 doi: 10.1007/s10035-009-0137-3
|
Johnson K L. 1985. Contact Mechanics. England: Cambridge University Press
|
Khidas Y, Jia X 2010. Anisotropic nonlinear elasticity in a spherical-bead pack: Influence of the fabric anisotropy. Physical Review E, 81: 021303 doi: 10.1103/PhysRevE.81.021303
|
Kolymbas D, Wu W. 2000. Introduction to hypoplasticity. Modern Approaches to Plasticity, 1: 213-223
|
Kuhn M R. 1999. Structured deformation in granular materials. Mechanics of Materials, 31: 407-429 doi: 10.1016/S0167-6636(99)00010-1
|
Kruggel-Emden H, Smisek E, Rickelt S, Wirtz S, Scherer V. 2007. Review and extension of normal force models for the discrete element method. Powder Technology, 171: 157-173 doi: 10.1016/j.powtec.2006.10.004
|
Kruggel-Emden H, Wirtz S, Scherer V. 2008. A study on tangential force laws applicable to the discrete element method (DEM) for materials with viscoelastic or plastic behavior. Chemical Engineering Science, 63: 1523-1541 doi: 10.1016/j.ces.2007.11.025
|
Kuwabara G, Kono K. 1987. Restitution coefficient in collision between two spheres. Japanese Journal of Applied Physics, 26: 1230-1233 doi: 10.1143/JJAP.26.1230
|
Langston, P A, Tuzun U, Heyes D M. 1994. Continuous potential discrete particle simulations of stress and velocity-fields in hoppers|transition from fluid to granular flow. Chemical Engineering Science, 49, 1259-1275 doi: 10.1016/0009-2509(94)85095-X
|
Lee J, Herrmann H J. 1993. Angle of repose and angle of marginal stability|molecular-dynamics of granular particles. Journal of Physics A, 26: 373-383 doi: 10.1088/0305-4470/26/2/021
|
Lherminier S, Planet R, Simon G, Vanel L, Ramos O. 2014. Revealing the structure of a granular medium through ballistic sound propagation. Physical Review Letters, 113: 098001 doi: 10.1103/PhysRevLett.113.098001
|
Li R, Yang H, Zheng G, Zhang B F, Fei M L, Sun Q C. 2016. Double speckle-visibility spectroscopy for the dynamics of a passive layer in a rotating drum.Powder Technology, 295: 167-174 doi: 10.1016/j.powtec.2016.03.031
|
Li X, Li X S. 2009. Micro-macro quantification of the internal structure of granular materials. Journal of Engineering Mechanics, 135: 641-656 doi: 10.1061/(ASCE)0733-9399(2009)135:7(641)
|
Liu A J, Nagel S R. 1998. Jamming is not just cool any more. Nature, 396: 21-22 doi: 10.1038/23819
|
Liu A J, Nagel S R. 2010. The jamming transition and the marginally jammed solid. Annual Review of Condensed Matter Physics, 1: 347-369 doi: 10.1146/annurev-conmatphys-070909-104045
|
Liu J, Sun Q, Jin F. 2009. Visualization of force networks in 2D dense granular materials. Frontiers of Architecture and Civil Engineering in China, 4: 109-115
|
Liu X, Ge W, Li J. 2008. Non-equilibrium phase transitions in suspensions of oppositely driven inertial particles. Powder Technology, 184: 224-231 doi: 10.1016/j.powtec.2007.11.045
|
Liu X, Martin C L, Delette G, Bouvard D. 2010. Elasticity and strength of partially sintered ceramics. Journal of the Mechanics and Physics of Solids, 58: 829-842 doi: 10.1016/j.jmps.2010.04.007
|
Liu X, Martin C L, Bouvard D, Di Iorio S, Laurencin J, Delette G. 2011a. Strength of highly porous ceramic electraodes. Journal of the American Ceramic Society, 94: 3500-3508 doi: 10.1111/j.1551-2916.2011.04669.x
|
Liu X, Martin C L, Delette G, Laurencin J, Bouvard D, Delahaye T. 2011b. Microstructure of porous composite electrodes generated by the discrete element method. Journal of Power Sources, 196: 2046-2054 doi: 10.1016/j.jpowsour.2010.09.033
|
Liu X, Papon A, Muhlhaus H. 2012. A numerical study of structural evolution in shear band. Philosophical Magazine, 92: 3501-3519 doi: 10.1080/14786435.2012.715249
|
Lu G, Third J R, Muller C. R. 2015. Discrete element models for non-spherical particle systems: From theoretical developments to applications. Chemical Engineering Science, 127: 425-465 doi: 10.1016/j.ces.2014.11.050
|
Luding S, Clément E, Blumen A, Rajchenbach J, Duran J. 1994. Anomalous energy dissipation in molecular dynamics simulations of grains: The "detachment" effect. Physical Review E, 50, 4113-4122 doi: 10.1103/PhysRevE.50.4113
|
Luding S. 1998. Collisions and contacts between two particles//Herrmann H J, Hovi J P, Luding S. (Eds.). Physics of Dry Granular Media, Kluwer Academic Publs, Dordrecht.: 285-304.
|
Luding S. 2008a. Introduction to discrete element methods. European Journal of Environmental and Civil Engineering, 12: 785-826 doi: 10.1080/19648189.2008.9693050
|
Luding S. 2008b. Cohesive, frictional powders: contact models for tension. Granular matter, 10: 235-246 doi: 10.1007/s10035-008-0099-x
|
Makse H A, Gland N, Johnson D L, Schwartz L. 2004. Granular packings: nonlinear elasticity, sound propagation, and collective relaxation dynamics. Physical Review E, 70: 061302 doi: 10.1103/PhysRevE.70.061302
|
Manning M, Liu A. 2011. Vibrational modes identify soft spots in a sheared disordered packing. Physical Review Letters, 107: 108302 doi: 10.1103/PhysRevLett.107.108302
|
Martin C L. 2004. Elasticity, fracture and yielding of cold compacted metal powders. Journal of the Mechanics and Physics of solids, 52: 1691-1717 doi: 10.1016/j.jmps.2004.03.004
|
Maw N, Barber J R, Fawcett J N. 1976. The oblique impact of elastic spheres. Wear, 38: 101-114 doi: 10.1016/0043-1648(76)90201-5
|
McNamara S, Garcia-Rojo R, Herrmann H J. 2008. Microscopic origin of granular ratcheting. Physical Review E, 77: 031304 doi: 10.1103/PhysRevE.77.031304
|
Merkel A, Tournat V, Gusev V 2014. Directional asymmetry of the nonlinear wave phenomena in a three-dimensional granular phononic crystal under gravity. Physical Review E, 90: 023206 doi: 10.1103/PhysRevE.90.023206
|
Meyer H, Schulmann N, Zabel J E, Wittmer J P. 2011. The structure factor of dense two-dimensional polymer solutions. Computer Physics Communications, 182: 1949-1953 doi: 10.1016/j.cpc.2010.12.003
|
Mindlin R D, Deresiewicz H. 1953. Elastic spheres in contact under varying oblique forces. Journal of Applied Mechanics, 20: 327-344 http://www.worldcat.org/title/elastic-spheres-in-contact-under-varying-oblique-forces/oclc/504883595
|
Mishra B K. 2003a. A review of computer simulation of bumbling mills by the discrete element method:part I|contact mechanics. International Journal of Mineral Processing, 71: 73-93 doi: 10.1016/S0301-7516(03)00032-2
|
Mishra B K. 2003b. A review of computer simulation of bumbling mills by the discrete element method:part II|practical applications. International Journal of Mineral Processing, 71: 95-112 doi: 10.1016/S0301-7516(03)00031-0
|
Misra A, Cheung J. 1999. Particle motion and energy distribution in tumbling ball mills. Powder Technology, 105: 222-227 doi: 10.1016/S0032-5910(99)00141-2
|
O'Hern C S, Silbert L E, Liu A J, Nagel S R. 2003. Jamming at zero temperature and zero applied stress:the epitome of disorder. Physical Review E, 68: 011306 doi: 10.1103/PhysRevE.68.011306
|
Peng Y, Wang Z, Alsayed A M, Yodh A G, Han Y. 2010. Melting of colloidal crystal films. Physical Review Letters, 104: 205703 doi: 10.1103/PhysRevLett.104.205703
|
Renaud G, Calle S, Defontaine M 2010. Dynamic acoustoelastic testing of weakly pre-loaded unconsolidated water-saturated glass beads. The Journal of the Acoustical Society of America, 128: 3344-3354 doi: 10.1121/1.3502461
|
Rognon P G, Roux J N, Naaim M, Chevoir F. 2008. Dense flows of cohesive granular materials. Journal of Fluid Mechanics, 596: 21-47
|
Sadd M H, Tai Q M. 1993. A contact law effects on wave-propagation in particulate materials using distinct element modeling. International journal of Non-Linear Mechanics, 28: 251-265 doi: 10.1016/0020-7462(93)90061-O
|
Schafer J, Dippel S, Wolf D E. 1996. Force schemes in simulations of granular materials. Journal de Physique, 16: 5-20 https://www.researchgate.net/publication/41713396_Force_Scheme
|
Schoenholz S S, Liu A J, Riggleman R A, Rottler J. 2014. Understanding plastic deformation in thermal glasses from single-soft-spot dynamics. Physical Review X, 4: 031014 https://www.researchgate.net/profile/Samuel_Schoenholz/publication/261439589_Understanding_Plastic_Deformatio
|
Silbert L E, Silbert M. 2009. Long-wavelength structural anomalies in jammed systems. Physical Review E, 80: 041304 doi: 10.1103/PhysRevE.80.041304
|
Song C, Wang P, Makse H A. 2008. A phase diagram for jammed matter. Nature, 453: 629-632 doi: 10.1038/nature06981
|
Sun Q, Jin F, Wang G, Song S, Zhang G. 2015. On granular elasticity. Scientific Reports, 5: 9652 doi: 10.1038/srep09652
|
Tanguy A, Mantisi B, Tsamados M. 2010. Vibrational modes as a predictor for plasticity in a model glass. European Physical Letters, 90: 16004 doi: 10.1209/0295-5075/90/16004
|
Tejada I G, Jimenez R. 2014. Impact of the timestep in some molecular dynamics simulations on compression of granular systems. European Physical Journal E, 37: 15 doi: 10.1140/epje/i2014-14015-4
|
Thornton C, Yin K K. 1991. Impact of elastic spheres with and without adhesion. Powder Technology, 65:153-166 doi: 10.1016/0032-5910(91)80178-L
|
Thornton C. 1997. Coefficient of restitution for collinear collisions of elastic perfectly plastic spheres. Journal of Applied Mechanics, 64: 383-386 doi: 10.1115/1.2787319
|
Thornton C, Cummins S J, Cleary P W. 2011. An investigation of the comparative behaviour of alternative contact force models during elastic collisions. Powder Technology, 210: 189-197 doi: 10.1016/j.powtec.2011.01.013
|
Thornton C, Cummins S J, Cleary P W. 2013. An investigation of the comparative behaviour of alternative contact force models during inelastic collisions. Powder technology, 233: 30-46 doi: 10.1016/j.powtec.2012.08.012
|
Tighe B. 2011. Relaxations and rheology near Jamming.Physical Review Letters, 107: 158303 doi: 10.1103/PhysRevLett.107.158303
|
Tordesillas A, Muthuswamy M, Walsh S D. 2008. Mesoscale measures of nona±ne deformation in dense granular assemblies. Journal of Engineering Mechanics, 134: 1095-1113 doi: 10.1061/(ASCE)0733-9399(2008)134:12(1095)
|
Tsuji Y, Tanaka T, Ishida T. 1992. Lagrangian numerical simulation of plug flow of cohesionless particles in a horizontal pipe. Powder Technology, 71: 239-250 doi: 10.1016/0032-5910(92)88030-L
|
Utter B, Behringer R P. 2004. Self-diffusion in dense granular shear flows. Physical Review E, 69: 031308 doi: 10.1103/PhysRevE.69.031308
|
Vitelli V. 2010. Attenuation of shear sound waves in jammed solids. Soft Matter, 6: 3007-3012 doi: 10.1039/c000834f
|
Vu-Quoc L, Zhang X, Lesburg L. 2001. Normal and tangential force-displacement relations for frictional elasto-plastic contact of spheres. International Journal of Solids and Structures, 38: 6455-6489 doi: 10.1016/S0020-7683(01)00065-8
|
Vu-Quoc L, Zhang X. 1999. An accurate and e±cient tangential force-displacement model for elastic fric-tional contact in particle-flow simulations. Mechanics of Materials, 31: 235-269 doi: 10.1016/S0167-6636(98)00064-7
|
Wang X, Zheng W, Wang L, Xu N. 2015. Disordered solids without well-defined transverse phonons: the nature of hard-sphere glasses. Physical Review Letters, 114: 035502 doi: 10.1103/PhysRevLett.114.035502
|
Wang P J, Li Y D, Xia J H, Liu C S. 2008a. Characterization of reflection intermittency in a composite granular chain. Physical Review E, 77: 060301
|
Wang P, Song C, Briscoe C. 2008b. Particle dynamics and effective temperature of jammed granular matter in a slowly sheared three-dimensional Couette cell. Physical Review E, 77: 061309 doi: 10.1103/PhysRevE.77.061309
|
Wang P J, Xia J H, Li Y D, Liu C S. 2007. Crossover in the power-law behavior of confined energy in a composite granular chain. Physical Review E, 76: 041305 doi: 10.1103/PhysRevE.76.041305
|
Walton O R, Braun R L. 1986. Viscosity, granular temperature and stress calculations for shearing assemblies of inelastic, frictional disks. Journal of Rheology, 30: 949-980 doi: 10.1122/1.549893
|
Walton O R. 1993. Numerical simulation of cline chute flows of monodisperse, inelastic, frictional spheres. Mechanics of Materials, 16: 239-247 doi: 10.1016/0167-6636(93)90048-V
|
Wang Y, Steffen A, Latham S, Mora P. 2006. Implementation of particle-scale rotation in the 3-D lattice model. Pure and Applied Geophysics, 163: 1769-1785 doi: 10.1007/s00024-006-0096-0
|
Warr S, Hansen J P. 1996. Relaxation of local density fluctuations in a fluidized granular medium. Euro-physics Letters, 36: 589-594 doi: 10.1209/epl/i1996-00273-1
|
Wen P P, Zheng N, Li L S, Li H, Sun G, Shi Q F. 2012. Polymerlike statistical characterization of two-dimensional granular chains. Physical Review E, 85: 031301 doi: 10.1103/PhysRevE.85.031301
|
Wildman R D, Huntley J M, Parker D J. 2001. Granular temperature profiles in three-dimensional vibroflu-idized granular beds. Physical Review E, 63: 061311 doi: 10.1103/PhysRevE.63.061311
|
Xia C, Li J, Cao Y, Kou B, Xiao X, Fezzaa K, Xiao T,Wang Y. 2015. The structural origin of the hard-sphere glass transition in granular packing. Nature Communications, 6: 1-9 https://www.researchgate.net/profile/Yujie_Wang5/publication/282247305_Th
|
Xu B H, Yu A B. 1997. Numerical simulation of the gas-solid flow in a fluidised bed by combining discrete particle method with computational fluid dynamics. Chemical Engineering Science, 52: 2785-2809 doi: 10.1016/S0009-2509(97)00081-X
|
Xu N. 2011. Mechanical, vibrational, and dynamical properties of amorphous systems near jamming. Fron-tiers of Physics, 6: 109-123 doi: 10.1007/s11467-010-0102-y
|
Xu N, Vitelli V, Liu A J, Nagel S R. 2010. Anharmonic and quasi-localized vibrations in jammed solids-modes for mechanical failure. Europhysics Letters, 90: 56001 doi: 10.1209/0295-5075/90/56001
|
Xu N, Ching E S C. 2010. Effects of particle-size ratio on jamming of binary mixtures at zero temperature.Soft Matter, 6: 2944-2948 doi: 10.1039/b926696h
|
Yang H, Li R, Kong P, Sun QC, Biggs MJ, Zivkovic V. 2015. Avalanche dynamics of granular materials under the slumping regime in a rotating drum as revealed by speckle visibility spectroscopy. Physical Review E, 91: 042206 doi: 10.1103/PhysRevE.91.042206
|
Ye M. 2005. Multi-level modeling of dense gas-solid two-phase flows. [PhD Thesis]. Nertherland: University of Twente.
|
Zaccone A, Terentjev E M. 2014.Short-range correlations control the G/K and Poisson ratios of amorphous solids and metallic glasses. Journal of Applied Physics, 115: 033510 doi: 10.1063/1.4862403
|
Zhang Q, Li Y, Hou M, Jiang Y, Liu M. 2012. Elastic waves in the presence of a granular shear band formed by direct shear. Physical Review E, 85: 031306 doi: 10.1103/PhysRevE.85.031306
|
Zhang Z X, Xu N, Chen D T N, Yunker P, Alsayed A M, Aptowicz K B, Habdas P, Liu A J, Nagel S R,Yodh A G. 2009. Thermal vestige of the zero-temperature jamming transition. Nature, 459: 230-233 doi: 10.1038/nature07998
|
Zheng H P. 2014. Properties of surface waves in granular media under gravity. Chinese Physics B, 23:054503 doi: 10.1088/1674-1056/23/5/054503
|
Zhou Y H. 2013. Modeling of softsphere normal collisions with characteristic of coe±cient of restitution dependent on impact velocity. Theoretical and Applied Mechanics Letters, 3: 021003 doi: 10.1063/2.1302103
|
Zhou Y C, Wright B D, Yang R Y, Xu B H, Yu A B. 1999. Rolling friction in the dynamic simulation of sandpile formation. Physica A, 269: 536-553 doi: 10.1016/S0378-4371(99)00183-1
|
Zhu H P, Yu A B. 2003. The effects of wall and rolling resistance on the couple stress of granular materials in vertical flow. Physica A, 325: 347-360 doi: 10.1016/S0378-4371(03)00143-2
|
Zhu H P, Zhou Z Y, Yang R Y, Yu A B. 2007. Discrete particle simulation of particulate systems: theoretical developments. Chemical Engineering Science, 62: 3378-3396 doi: 10.1016/j.ces.2006.12.089
|
Zhu H P, Zhou Z Y, Yang R Y, Yu A B. 2008. Discrete particle simulation of particulate systems: A review of major applications and findings. Chemical Engineering Science, 63: 5728-5770 doi: 10.1016/j.ces.2008.08.006
|