메뉴 건너뛰기




Volumn 53, Issue 2, 2007, Pages 244-259

The frictional flow of a dense granular material based on the dilatant double shearing model

Author keywords

Constitutive relations; Couette flow; DEM; Dilatant double shearing model; Granular materials; Silo flow

Indexed keywords

COMPUTER SIMULATION; CONSTITUTIVE EQUATIONS; FLOW OF FLUIDS; MATHEMATICAL MODELS; PRESSURE DISTRIBUTION;

EID: 34247507625     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2006.02.054     Document Type: Article
Times cited : (22)

References (43)
  • 1
    • 28744454986 scopus 로고    scopus 로고
    • Incorporating the effects of fabric in the dilatant double shearing model for granular materials
    • Zhu H., Mehrabadi M.M., and Massoudi M. Incorporating the effects of fabric in the dilatant double shearing model for granular materials. Int. J. Plast. 22 (2006) 628-653
    • (2006) Int. J. Plast. , vol.22 , pp. 628-653
    • Zhu, H.1    Mehrabadi, M.M.2    Massoudi, M.3
  • 2
    • 0027052849 scopus 로고
    • Existence of solutions to the equations governing the flow of granular materials
    • Rajagopal K.R., Troy W.C., and Massoudi M. Existence of solutions to the equations governing the flow of granular materials. Eur. J. Mech. B Fluids 11 (1992) 265-276
    • (1992) Eur. J. Mech. B Fluids , vol.11 , pp. 265-276
    • Rajagopal, K.R.1    Troy, W.C.2    Massoudi, M.3
  • 4
    • 0005754680 scopus 로고
    • The rheology of powders
    • Edwards S. The rheology of powders. Rheol. Acta 29 (1990) 493-499
    • (1990) Rheol. Acta , vol.29 , pp. 493-499
    • Edwards, S.1
  • 5
    • 0031171163 scopus 로고    scopus 로고
    • A fluid mechanics approach to slow, frictional powder flows
    • Tardos G.I. A fluid mechanics approach to slow, frictional powder flows. Powder Technol. 92 (1997) 61-74
    • (1997) Powder Technol. , vol.92 , pp. 61-74
    • Tardos, G.I.1
  • 6
    • 0001510883 scopus 로고
    • On the dilatancy of media composed of rigid particles in contact with experimental illustrations
    • Reynolds O. On the dilatancy of media composed of rigid particles in contact with experimental illustrations. Philos. Mag. Ser. 5 20 (1885) 469-481
    • (1885) Philos. Mag. Ser. 5 , vol.20 , pp. 469-481
    • Reynolds, O.1
  • 7
    • 0005703968 scopus 로고
    • Experiments showing dilatancy, a property of granular material, possibly connected with gravitation
    • Reynolds O. Experiments showing dilatancy, a property of granular material, possibly connected with gravitation. Proc. R. Inst. G. B. 11 (1886) 354-363
    • (1886) Proc. R. Inst. G. B. , vol.11 , pp. 354-363
    • Reynolds, O.1
  • 8
    • 0001314297 scopus 로고
    • A Mathematical theory of dilatancy
    • Reiner M. A Mathematical theory of dilatancy. Amer. J. Math. 67 (1945) 350-362
    • (1945) Amer. J. Math. , vol.67 , pp. 350-362
    • Reiner, M.1
  • 9
    • 0033103220 scopus 로고    scopus 로고
    • Granular dilatancy and the plasticity of glassy lubricants
    • Goddard J.D. Granular dilatancy and the plasticity of glassy lubricants. Ind. Eng. Chem. Res. 38 (1999) 820
    • (1999) Ind. Eng. Chem. Res. , vol.38 , pp. 820
    • Goddard, J.D.1
  • 10
    • 0035677117 scopus 로고    scopus 로고
    • A continuum model for granular materials: Considering dilatancy, and the Mohr-Coulomb criterion
    • Massoudi M., and Mehrabadi M.M. A continuum model for granular materials: Considering dilatancy, and the Mohr-Coulomb criterion. Acta Mech. 152 (2001) 121-138
    • (2001) Acta Mech. , vol.152 , pp. 121-138
    • Massoudi, M.1    Mehrabadi, M.M.2
  • 11
    • 0016026415 scopus 로고
    • A theory for the flow of granular material
    • Cowin S.C. A theory for the flow of granular material. Powder Technol. 9 (1974) 61-69
    • (1974) Powder Technol. , vol.9 , pp. 61-69
    • Cowin, S.C.1
  • 12
    • 0016347488 scopus 로고
    • Constitutive relations that imply a generalized Mohr-Coulomb criterion
    • Cowin S.C. Constitutive relations that imply a generalized Mohr-Coulomb criterion. Acta Mech. 20 (1974) 41-46
    • (1974) Acta Mech. , vol.20 , pp. 41-46
    • Cowin, S.C.1
  • 13
    • 0035372796 scopus 로고    scopus 로고
    • A continuum-kinetic theory approach to the flow of granular materials: The effects of volume fraction gradient
    • Massoudi M., and Boyle E.J. A continuum-kinetic theory approach to the flow of granular materials: The effects of volume fraction gradient. Internat. J. Non-Linear Mech. 36 (2001) 637-648
    • (2001) Internat. J. Non-Linear Mech. , vol.36 , pp. 637-648
    • Massoudi, M.1    Boyle, E.J.2
  • 15
    • 0001042573 scopus 로고
    • Some mathematical and physical aspects of continuum models for the motion of granular materials
    • Meyer R. (Ed), Academic Press, New York
    • Jackson R. Some mathematical and physical aspects of continuum models for the motion of granular materials. In: Meyer R. (Ed). Theory of Dispersed Multiphase Flow (1982), Academic Press, New York
    • (1982) Theory of Dispersed Multiphase Flow
    • Jackson, R.1
  • 16
    • 0343301498 scopus 로고
    • Gravity flow of a cohesionless bulk solid in a converging conical channel
    • Savage S.B. Gravity flow of a cohesionless bulk solid in a converging conical channel. Int. J. Mech Sci. 9 (1967) 651-659
    • (1967) Int. J. Mech Sci. , vol.9 , pp. 651-659
    • Savage, S.B.1
  • 17
    • 0032305779 scopus 로고    scopus 로고
    • Analyses of slow high concentration flows of granular materials
    • Savage S.B. Analyses of slow high concentration flows of granular materials. J. Fluid Mech. 377 (1998) 1-26
    • (1998) J. Fluid Mech. , vol.377 , pp. 1-26
    • Savage, S.B.1
  • 18
    • 0026015462 scopus 로고
    • Steady incompressible flow of cohesionless granular materials through a wedge-shaped hopper: Frictional-kinetic solution to the smooth wall, radial gravity problem
    • Jyotsna R., and Kesava Rao K. Steady incompressible flow of cohesionless granular materials through a wedge-shaped hopper: Frictional-kinetic solution to the smooth wall, radial gravity problem. Chem. Eng. Sci. 46 (1991) 1951-1967
    • (1991) Chem. Eng. Sci. , vol.46 , pp. 1951-1967
    • Jyotsna, R.1    Kesava Rao, K.2
  • 19
    • 0031224868 scopus 로고    scopus 로고
    • A frictional-kinetic model for the flow of granular materials through a wedge-shaped hopper
    • Jyotsna R., and Kesava Rao K. A frictional-kinetic model for the flow of granular materials through a wedge-shaped hopper. J. Fluid Mech. 346 (1997) 239-270
    • (1997) J. Fluid Mech. , vol.346 , pp. 239-270
    • Jyotsna, R.1    Kesava Rao, K.2
  • 21
    • 34247549094 scopus 로고    scopus 로고
    • S. Ogawa, Multitemperature theory of granular materials, in: S.C. Cowin, M. Satake (Eds.), Proceedings of US-Japan Seminar on Continuum Mechanical and Statistical Approaches in the Mechanics of Granular Materials, 1978, pp. 208-217
  • 22
    • 0000465793 scopus 로고
    • On the equations of fully fluidized granular materials
    • Ogawa S., Umemura A., and Oshima N. On the equations of fully fluidized granular materials. J. Appl. Math. Phys. 31 (1980) 483-493
    • (1980) J. Appl. Math. Phys. , vol.31 , pp. 483-493
    • Ogawa, S.1    Umemura, A.2    Oshima, N.3
  • 24
    • 0002902651 scopus 로고
    • Experiments on a gravity free dispersion of large solid spheres in a Newtonian fluid under shear
    • Bagnold R.A. Experiments on a gravity free dispersion of large solid spheres in a Newtonian fluid under shear. Proc. R. Soc. Lond. 225 (1954) 49
    • (1954) Proc. R. Soc. Lond. , vol.225 , pp. 49
    • Bagnold, R.A.1
  • 26
    • 0023314860 scopus 로고
    • Frictional-collisional constitutive relations for granular materials with application to plane shearing
    • Johnson P.C., and Jackson R. Frictional-collisional constitutive relations for granular materials with application to plane shearing. J. Fluid Mech. 176 (1987) 67-93
    • (1987) J. Fluid Mech. , vol.176 , pp. 67-93
    • Johnson, P.C.1    Jackson, R.2
  • 27
    • 0002197012 scopus 로고
    • Instability in the evolution equations describing incompressive granular flows
    • Schaeffer D.G. Instability in the evolution equations describing incompressive granular flows. J. Differential Equations 66 (1987) 19-50
    • (1987) J. Differential Equations , vol.66 , pp. 19-50
    • Schaeffer, D.G.1
  • 28
    • 0037417109 scopus 로고    scopus 로고
    • Slow and intermediate flow of a frictional bulk powder in the Couette geometry
    • Tardos G.I., McNamara S., and Talu I. Slow and intermediate flow of a frictional bulk powder in the Couette geometry. Powder Technol. 131 (2003) 23-39
    • (2003) Powder Technol. , vol.131 , pp. 23-39
    • Tardos, G.I.1    McNamara, S.2    Talu, I.3
  • 29
    • 0021295449 scopus 로고
    • The mechanics of rapid granular flows
    • Savage S.B. The mechanics of rapid granular flows. Adv. Appl. Mech. 24 (1984) 289-366
    • (1984) Adv. Appl. Mech. , vol.24 , pp. 289-366
    • Savage, S.B.1
  • 32
    • 0032292645 scopus 로고    scopus 로고
    • Reflections on the mechanics of granular matter
    • de Gennes P.G. Reflections on the mechanics of granular matter. Physica A 261 (1998) 267-293
    • (1998) Physica A , vol.261 , pp. 267-293
    • de Gennes, P.G.1
  • 40
    • 0033728854 scopus 로고    scopus 로고
    • Granular materials: Constitutive equations and strain localization
    • Anand L., and Gu C. Granular materials: Constitutive equations and strain localization. J. Mech. Phys. Solids 48 (2000) 1701-1733
    • (2000) J. Mech. Phys. Solids , vol.48 , pp. 1701-1733
    • Anand, L.1    Gu, C.2
  • 41
    • 0018441375 scopus 로고
    • A discrete numerical model for granular assemblies
    • Cundall P.A., and Strack O.D.L. A discrete numerical model for granular assemblies. Geotechnique 29 (1979) 47-65
    • (1979) Geotechnique , vol.29 , pp. 47-65
    • Cundall, P.A.1    Strack, O.D.L.2
  • 42
    • 0032221899 scopus 로고    scopus 로고
    • Modelling of granular media in the computer
    • Hermann H.J., and Luding S. Modelling of granular media in the computer. Contin. Mech. Thermodyn. 10 (1998) 189
    • (1998) Contin. Mech. Thermodyn. , vol.10 , pp. 189
    • Hermann, H.J.1    Luding, S.2
  • 43
    • 0034599977 scopus 로고    scopus 로고
    • Wall stresses in granular Couette flows of mono-sized particles and binary mixtures
    • Karion A., and Hunt M.L. Wall stresses in granular Couette flows of mono-sized particles and binary mixtures. Powder Technol. 109 (2000) 145-163
    • (2000) Powder Technol. , vol.109 , pp. 145-163
    • Karion, A.1    Hunt, M.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.