The Mechanics of Rapid Granular Flows
Tài liệu tham khảo
Ackermann, 1982, Stresses in rapidly sheared fluid-solid mixtures, J. Eng. Mech. Div., Am. Soc. Civ. Eng., 108, 95
Allen, 1970, The avalanching of granular solids on dune and similar slopes, J. Geol., 78, 326, 10.1086/627520
Augenstein, 1974, Friction factors for powder flow, Powder Technol., 10, 43, 10.1016/0032-5910(74)85030-8
Augenstein, 1978, An experimental study of the flow of dry powders over inclined surfaces, Powder Technol., 19, 205, 10.1016/0032-5910(78)80029-1
Bagnold, 1954, Experiments on a gravity free dispersion of large solid spheres in a newtonian fluid under shear, Proc. R. Soc. London, Ser. A, 225, 49, 10.1098/rspa.1954.0186
Bagnold, 1956, The flow of cohesionless grains in fluids, Phil. Trans. R. Soc. London, Ser. A, 249, 235, 10.1098/rsta.1956.0020
Bagnold, 1966, The shearing and dilation of dry sand and the ‘singing’ mechanism, Proc. R. Soc. London, Ser. A, 295, 219, 10.1098/rspa.1966.0236
Bagnold, 1973, The nature of saltation and of ‘bed-load’ transport in water, Proc. R. Soc., London, Ser. A, 332, 473, 10.1098/rspa.1973.0038
Bailard, 1978
Balmer, 1978, The operation of sand clocks and their medieval development, Technol. Culture., 19, 615, 10.2307/3103761
Batchelor, 1974, Transport properties of two-phase materials with random structure, Annu. Rev. Fluid Mech., 6, 227, 10.1146/annurev.fl.06.010174.001303
Bingham, 1931, The flow of dry sand through capillary tubes, J. Rheol. (NY), 2, 395, 10.1122/1.2116398
Blinowski, 1978, On the dynamic flow of granular media, Arch. Mech., 30, 27
Botterill, 1975
Botterill, 1972, Flow of fluidized solids, Powder Technol., 6, 343, 10.1016/0032-5910(72)83032-8
Botterill, 1979, The open channel flow of fluidized solids, Powder Technol., 23, 67, 10.1016/0032-5910(79)85026-3
Botterill, 1976, The flow properties of fluidized solids, Powder Technol., 14, 131, 10.1016/0032-5910(76)80015-0
C.E. Brennen, K. Sieck, J. Paslaski, (1982). Hydraulic jumps in granular material flow. Submitted to Powder Technol
Bridgwater, 1972, Stress-velocity relationships for particulate solids, Am. Soc. Mech. Eng. Pap.
Bridgwater, 1980, On the width of failure zones, Geotechnique, 30, 533, 10.1680/geot.1980.30.4.533
Brown, 1970
Buyevich, 1978, Flow of dense suspensions, Prog. Aeronaut. Sci., 18, 121, 10.1016/0376-0421(77)90004-5
Campbell, 1982
Carnahan, 1969, Equations of state for non-attracting rigid spheres, J. Chem. Phys., 51, 635, 10.1063/1.1672048
Carr, 1967, An annular shear cell for granular materials, Powder Technol., 1, 369, 10.1016/0032-5910(68)80019-1
Chapman, 1970
Cheng, 1966, Comments on the paper ‘Rheological Behaviour of Powder in a Rotational Viscometer’ by Hiroshi Kuno and Kozo Kurihara, Rheol. Acta, 5, 53, 10.1007/BF01973580
Cheng, 1978, Some observations on the rheological behaviour of dense suspensions, Rheol. Acta, 17, 446, 10.1007/BF01525960
Choda, 1967, Flow regimes of grains in inclined chutes, Trans. Am. Soc. Agri. Eng., 10, 136, 10.13031/2013.39614
Chong, 1971, Rheology of concentrated suspensions, J. Appl. Polymer Sci., 15, 2007, 10.1002/app.1971.070150818
Cowin, 1974, A theory for the flow of granular materials, Powder Technol., 9, 61, 10.1016/0032-5910(74)85010-2
Cowin, 1974, Constitutive relations that imply a generalized Mohr-Coulomb criterion, Acta Mech., 20, 41, 10.1007/BF01374961
Cox, 1971, Suspended particles in fluid flow through tubes, Annu. Rev. Fluid Mech., 3, 291, 10.1146/annurev.fl.03.010171.001451
Cundall, 1979, A discrete numerical model for granular assemblies, Geotech., 29, 47, 10.1680/geot.1979.29.1.47
Davidson, 1963
Davis, 1977, A discrete probabilistic model for mechanical response of a granular medium, Acta Mech., 26, 69, 10.1007/BF01180077
de Jong, 1969, Vertical air-controlled particle flow from a bunker through a circular orifice, Powder Technol., 3, 279, 10.1016/0032-5910(69)80095-1
de Josselin de Jong, 1959
de Josselin de Jong, 1971, The double-sliding, free-rotating model for granular assemblies, Geotechnique, 21, 155, 10.1680/geot.1971.21.2.155
de Josselin de Jong, 1977, Mathematical elaboration of the double-sliding, free-rotating model, Arch. Mech., 29, 561
Delaplaine, 1956, Forces acting on flowing beds of solids, AIChE J., 2, 127, 10.1002/aic.690020125
Dresher, 1972, Photoelastic verification of a mechanical model for the flow of a granular material, J. Mech. Phys. Solids, 20, 337, 10.1016/0022-5096(72)90029-4
Erismann, 1979, Mechanisms of large landslides, Rock Mech., 12, 15, 10.1007/BF01241087
Faber, 1972
Gadala-Maria, 1979
Goddard, 1977, A review of recent developments in the constitutive theory of particulate dispersions
Goodman, 1971, Two problems in the gravity flow of granular materials, J. Fluid. Mech., 45, 321, 10.1017/S0022112071000065
Goodman, 1972, A continuum theory for granular materials, Arch. Ration. Mech. Anal., 44, 249, 10.1007/BF00284326
Green, 1956, Steady flow of non-Newtonian fluids through tubes, Quart. Appl. Math., 14, 299, 10.1090/qam/90335
Hagen, 1852, Druck und Bewegung des Trockenen Sandes, Berl. Monatsb. Akad. d. Wiss., S35
Hansen, 1976
Herczyński, 1980, Towards a statistical theory of suspension, Annu. Rev. Fluid Mech., 12, 237, 10.1146/annurev.fl.12.010180.001321
Hill, 1966, Bed forms due to a fluid stream, J. Hydraul. Div., Am. Soc. Civ. Eng., 92, 127
Hoffman, 1972, Discontinuous and dilatant viscosity behavior in concentrated suspensions. I. Observation of a flow instability, Trans. Soc. Rheol., 16, 155, 10.1122/1.549250
Hopfinger, 1983, Snow avalanche motion and related phenomena, Annu. Rev. Fluid Mech., 15, 47, 10.1146/annurev.fl.15.010183.000403
Hsu, 1975, Catastrophic debris streams generated by rock falls, Geol. Soc. Amer. Bull., 86, 129, 10.1130/0016-7606(1975)86<129:CDSSGB>2.0.CO;2
Hvorslev, 1936, A ring shearing apparatus for the determination of the shearing resistance and plastic flow of soil, Proc. Int. Conf. Soil Mech. Found. Engl., 2, 125
Hvorslev, 1939, Torsion shear tests and their place in the determination of the shearing resistance of soils, Proc. ASTM, 39, 999
Ishida, 1979, Velocity distributions in the flow of solid particles in an inclined open channel, J. Chem. Eng. Jpn., 12, 46, 10.1252/jcej.12.46
Ishida, 1980, Measurement of the velocity and directions of flow of solid particles in a fluidized bed, Powder Technol., 27, 1, 10.1016/0032-5910(80)85034-0
Ishida, 1980, The flow of solid particles in an aerated inclined channel, Powder Technol., 27, 7, 10.1016/0032-5910(80)85035-2
Janssen, 1895, Tests on grain pressure silos, Z. Ver. Dtsch. Ing., 39, 1045
Jeffrey, 1976, The rheological properties of suspensions in rigid particles, AIChE J., 22, 417, 10.1002/aic.690220303
Jenike, 1960, Flow properties of bulk solids, Proc. ASTM, 60, 1
Jenkins, 1979, Theories for flowing granular materials, 79
Jenkins, 1981, The mean stress resulting from interparticle collisions in a rapid granular shear flow, 4, 365
Jenkins, 1982, A theory for the rapid flow of identical smooth, nearly elastic particles, J. Fluid Mech.
Kanatani, 1979, A micropolar continuum theory for the flow of granular materials, Int. J. Eng. Sci., 17, 419, 10.1016/0020-7225(79)90078-8
Kanatani, 1979, A continuum theory for the flow of granular materials. In “Theoretical and Applied Mechanics”, Japan Natl. Comm. Theor. and Appl. Mech., 27, 571
Kanatani, 1980, A continuum theory for the flow of granular materials (II). In “Theoretical and Applied Mechanics”, Japan Natl. Comm. Theor. and Appl. Mech., 28, 485
Knight, 1983, The role of particle collisions in determining high strain rate flow behaviour, Proc. Int. Symp. Role Particle Interactions Powder Mech.
Komar, 1976
Krasheninnikov, 1967, Sharp growth of viscosity with increasing deformation rate in some disperse systems, Dokl. Phys. Chem., 174, 360
Kuno, 1965, Rheological behaviour of powder in a rotational viscometer, Rheol. Acta, 4, 73, 10.1007/BF01968739
Leal, 1980, Particle motions in a viscous fluid, Annu. Rev. Fluid Mech., 12, 435, 10.1146/annurev.fl.12.010180.002251
Lees, 1959
Leung, 1978, Flow of gas-solid mixtures in standpipes. A review, Powder Technol., 20, 145, 10.1016/0032-5910(78)80044-8
Leung, 1978, An analysis of moving bed flow of solids down standpipes and slide valves, Powder Technol., 19, 7, 10.1016/0032-5910(78)80069-2
Lun, 1982, Kinetic theories for granular flow: Inelastic particles in Couette flow and slightly inelastic particles in a general flow field, J. Fluid Mech.
Mandel, 1966, Sur les Équations à Écoulement des Sols Indeaux en Déformation Plane et le Concept de Double Glissement, J. Mech. Phys. Solids, 14, 303, 10.1016/0022-5096(66)90006-8
Mandl, 1970, Fully developed plastic shear flow of granular materials, Geotech., 20, 277, 10.1680/geot.1970.20.3.277
Mandl, 1977, Shear zones in granular material, Rock Mech., 9, 95, 10.1007/BF01237876
Marble, 1964, Mechanism of particle collision in the one-dimensional dynamics of gas-particle mixtures, Phys. Fluids, 7, 1270, 10.1063/1.1711372
McDougall, 1969, Gravity flow of solids down vertical pipes, Trans. Inst. Mech. Eng., 184, 1
McDougall, 1973, The effect on solids mass flowrate of an expansion chamber between a hopper outlet and a vertical standpipe, Powder Technol., 8, 231, 10.1016/0032-5910(73)80088-9
D.F. McTigue, (1978). A model for stresses in shear flow of granular material. Proc. U.S. Japan Seminar on Continuum-Mechanical and Statistical Approaches in the Mechanics of Granular Materials, pp. 266–271
McTigue, 1979
Mellor, 1978, Dynamics of snow avalanches, 753
Metzner, 1958, Flow behavior of concentrated (dilatant) suspensions, Trans. Soc. Rheol., 2, 239, 10.1122/1.548831
Middleton, 1970, Experimental studies related to problems of flysch sedimentation, 253
Middleton, 1976, Subaqueous sediment transport and deposition by sediment gravity flows, 197
Morrison, 1976, Application of Spencer's ideal soil model to granular materials flow, Trans. ASME, Ser. E, 43, 49, 10.1115/1.3423794
Z. Mroz, (1980). Deformation and flow of granular materials. Proc. 15th Int. Congr. Theor. Appl. Mech. (F.P. J. Rimrott, B. Tabarrok, pp. 119–132
Nedderman, 1980, The flow of granular materials round obstacles, Powder Technol., 25, 215, 10.1016/0032-5910(80)87032-X
Nedderman, 1980, The thickness of the shear zone of flowing granular materials, Powder Technol., 25, 91, 10.1016/0032-5910(80)87014-8
Nedderman, 1982, The flow of granular materials, I—discharge rates from hoppers, Chem. Eng. Sci., 37, 1597, 10.1016/0009-2509(82)80029-8
Nguyen, 1979
Novosad, 1964, Apparatus for measuring the dynamic angle of internal friction and external friction of a granular material, Collect. Czech. Chem. Comm., 29, 2697, 10.1135/cccc19642697
Nunziato, 1980, Gravitational flows of granular materials with incompressible grains, J. Rheol., 24, 395, 10.1122/1.549601
S. Ogawa, (1978). Multi-temperature theory of granular materials. Proc. U.S.-Japan Seminar on Continuum-Mechanical and Statistical Approaches in the Mechanics of Granular Materials, pp. 208–217
Ogawa, 1977, A thermomechanical theory of soil-like materials. In “Theoretical and Applied Mechanics”, Japan Natl. Comm. Theor. and Applied Mech., 25, 229
Ogawa, 1980, On the equations of fully fluidized granular materials, J. Appl. Math. Phys. (ZAMP), 31, 483, 10.1007/BF01590859
N. Oshima, (1978). Continuum model of fluidized granular media. Proc. U.S.-Japan Seminar on Continuum-Mechanical and Statistical Approaches in the Mechanics of Granular Materials, pp. 189–202
Oshima, 1980, Dynamics of fluidized granular media. In “Theoretical and Applied Mechanics”, Japan Natl. Comm. Theor. and Applied Mech., 28, 475
W.G. Pariseau, D.E. Nicholson, 1979 Elastic-plastic finite element analysis of hopper filling and flow initiation “Mechanics Applied to the Transport of Bulk Materials.” ASME AMD-31 (S.C. Cowin, pp. 61–77
Parlour, 1971
S.L. Passman, J.T. Jenkins, J.P. Thomas, Jr. (1978). Flow of a granular material in a vertical channel. Proc. U.S.-Japan Seminar on Continuum-Mechanical and Statistical Approaches in the Mechanics of Granular Materials, pp. 171–180
Passman, 1980, Shearing flows of granular materials, J. Eng. Mech. Div., Am. Soc. Civ. Eng., 106, 773
Present, 1958
Raudkivi, 1976
Reisner, 1971
Reynolds, 1885, On the dilatancy of media composed of rigid particles in contact, Philos. Mag. Ser. 5., 20, 469, 10.1080/14786448508627791
Ridgway, 1970, Flow of granular materials down chutes, Chem. Process Eng., 51, 82
Roberts, 1969, An investigation of the gravity flow of noncohesive granular materials through discharge chutes, ASME Trans., J. Eng. Ind., 91, 373, 10.1115/1.3591575
Roberts, 1981, Flow of bulk solids through transfer chutes of variable geometry and profile, Bulk Solids Handling, 1, 715
Roscoe, 1953, An apparatus for the application of simple shear to soil samples, 1, 186
Roscoe, 1970, The influence of strains in soil mechanics, Geotechnique, 20, 129, 10.1680/geot.1970.20.2.129
Roscoe, 1958, On the yielding of soils, Geotechnique, 8, 22, 10.1680/geot.1958.8.1.22
Rothrock, 1975, The mechanical behavior of pack ice, Annu. Rev. Earth Sci., 3, 317, 10.1146/annurev.ea.03.050175.001533
Russel, 1981, Brownian motion of small particles suspended in liquids, Annu. Rev. Fluid Mech., 13, 425, 10.1146/annurev.fl.13.010181.002233
Salencon, 1977
Sanders, 1963, Concepts of fluid mechanics provided by primary sedimentary structures, J. Sediment. Petrol., 33, 173
S.B. Savage, (1978). Experiments on shear flows of cohesionless granular materials. Proc. U.S.-Japan Seminar on Continuum-Mechanical and Statistical Approaches in the Mechanics of Granular Materials, pp. 241–254
Savage, 1979, Gravity flow of cohesionless granular materials in chutes and channels, J. Fluid Mech., 92, 53, 10.1017/S0022112079000525
Savage, 1981, The stress tensor in a granular flow at high shear rates, J. Fluid Mech., 110, 255, 10.1017/S0022112081000736
Savage, 1983, Shear stresses developed during rapid shear of dense concentrations of large spherical particles between concentric cylinders, J. Fluid Mech., 127, 453, 10.1017/S0022112083002827
Savage, 1980
Savage, 1982, Stresses developed by dry cohesionless granular materials sheared in an annular shear cell, J. Fluid Mech.
Sayed, 1981
Sayed, 1983, Rapid gravity flow of cohesionless granular materials down inclined chutes, J. Appl. Math. Phys. (ZAMP), 34, 84, 10.1007/BF00962617
Scarlett, 1968, A split ring annular shear cell for determination of the shear strength of a powder, J. Sci. Instr., 1, 655, 10.1088/0022-3735/1/6/318
Scarlett, 1969, The critical porosity of free flowing solids, Trans. ASME, Ser. B., 91, 478, 10.1115/1.3591603
Scarlett, 1969, Application of geometrical probability to particulate systems. Part I. The critical porosity of shear granular systems, Powder Technol., 3, 299, 10.1016/0032-5910(69)80098-7
Schofield, 1968
Schwedes, 1973, Measurements of powder properties for hopper design, Trans. ASME, J. Eng. Ind., 95, 55, 10.1115/1.3438158
Schwedes, 1975, Shearing behavior of slightly compressed cohesive granular materials, Powder Technol., 11, 59, 10.1016/0032-5910(75)80024-6
Scott, 1963
Shahinpoor, 1981, New constitutive equations for the rapid flow of granular materials, J. Non-Newtonian Fluid Mech., 9, 147, 10.1016/0377-0257(87)87012-X
Shen, 1982
Shen, 1982, Constitutive relationships for fluid-solid mixtures, J. Eng. Mech. Div., Am. Soc. Civ. Eng., 108, 748
Singh, 1978, Flow of fluidized solids and other fluids in open channels, Powder Technol., 20, 99, 10.1016/0032-5910(78)80014-X
Sodhi, 1977
Sokolovski, 1965
Soo, 1967
Spencer, 1964, A theory of the kinematics of ideal soils under plane strain conditions, J. Mech. Phys. Solids., 12, 337, 10.1016/0022-5096(64)90029-8
Spencer, 1981, Deformation of an ideal granular material
Stephens, 1978, The mixing and segregation of cohesionless particulate materials, I. Failure zone formation, Powder Technol., 21, 17, 10.1016/0032-5910(78)80104-1
Stephens, 1978, The mixing and segregation of cohesionless particulate materials, II. Microscopic mechanisms for particles differing in size, Powder Technol., 21, 29, 10.1016/0032-5910(78)80105-3
Suzuki, 1971, Measurements of flow properties of powders along an inclined plane, Ind. Eng. Chem. Fundam., 10, 84, 10.1021/i160037a015
Takahashi, 1981, Debris flow, Annu. Rev. Fluid Mech., 13, 57, 10.1146/annurev.fl.13.010181.000421
Takahashi, 1973, Flow profile and void fraction of granular solids in a moving bed, Powder Technol., 7, 205, 10.1016/0032-5910(73)80026-9
Takahasi, 1937, On the dynamical properties of granular mass, Geophys. Mag., 11, 165
Temperley, 1968
Toyama, 1970, The flow of granular materials in moving beds, Powder Technol., 4, 214, 10.1016/0032-5910(71)80037-2
Trees, 1962, A practical investigation of the flow of particulate solids through sloping pipes, Trans. Inst. Chem. Eng., 40, 286
Trevelyan, 1937
Trollope, 1980, Physical and numerical experiments with granular wedges, Geotechnique, 30, 137, 10.1680/geot.1980.30.2.137
Tüzün, 1982, Flow of granular materials, II—velocity distributions in slow flow, Chem. Eng. Sci., 37, 1691, 10.1016/0009-2509(82)80042-0
K. Umeya, (1978). Rheological studies on powder-liquid systems. Proc. U.S.-Japan Seminar on Continuum-Mechanical and Statistical Approaches in the Mechanics of Granular Materials, pp. 222–240
Walton, 1980
Wieghardt, 1975, Experiments in granular flow, Annu. Rev. Fluid Mech., 7, 89, 10.1146/annurev.fl.07.010175.000513
Williams, 1965, The preparation of powder specimens for shear cell testing, Rheol. Acta, 4, 170, 10.1007/BF01969253
Wolf, 1945, Experimental study of the flow of coal in chutes at riverside generating station, ASME Trans., 67, 585
Yoon, 1970, Gas flow and pressure drop through moving beds, Ind. Eng. Chem. Process Des. Dev., 9, 559, 10.1021/i260036a011
Yuasa, 1972, Effects of an efflux tube on the rate of flow of glass beads from a hopper, Powder Technol., 6, 97, 10.1016/0032-5910(72)80063-9
Zagaynov, 1967, Equations of plane steady-state motion of a granular medium (in Russian), Mech. Tverd. Tela, 2, 188
1970, Mechanics of Solids, 2, 130