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Volumn 682, Issue , 2011, Pages 590-616

A constitutive model with microstructure evolution for flow of rate-independent granular materials

Author keywords

granular media; rheology

Indexed keywords

CONSTITUTIVE MODELS; ELASTICITY; FINITE DIFFERENCE METHOD; FRICTION; MICROSTRUCTURE; RHEOLOGY;

EID: 80052184382     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/jfm.2011.251     Document Type: Article
Times cited : (161)

References (72)
  • 1
    • 77952922724 scopus 로고    scopus 로고
    • Unsteady shear of dense assemblies of cohesive granular materials under constant volume conditions
    • Aarons, L R., Sun, J. & Sundaresan, S. 2009 Unsteady shear of dense assemblies of cohesive granular materials under constant volume conditions. Ind. Engng Chem. Res. 49 (11), 5153-5165.
    • (2009) Ind. Engng Chem. Res. , vol.49 , Issue.11 , pp. 5153-5165
    • Aarons, L.R.1    Sun, J.2    Sundaresan, S.3
  • 2
    • 0033728854 scopus 로고    scopus 로고
    • Granular materials: Constitutive equations and strain localization
    • Anand, L & Gu, C. 2000 Granular materials: constitutive equations and strain localization. J. Mech. Phys. Solids 48 (8), 1701-1733.
    • (2000) J. Mech. Phys. Solids , vol.48 , Issue.8 , pp. 1701-1733
    • Anand, L.1    Gu, C.2
  • 3
    • 65049088290 scopus 로고    scopus 로고
    • Quasistatic rheology, force transmission and fabric properties of a packing of irregular polyhedral particles
    • Azéma, E., Radjai, F. & Saussine, G. 2009 Quasistatic rheology, force transmission and fabric properties of a packing of irregular polyhedral particles. Mech. Mater. 41 (6), 729-741.
    • (2009) Mech. Mater. , vol.41 , Issue.6 , pp. 729-741
    • Azéma, E.1    Radjai, F.2    Saussine, G.3
  • 5
    • 0025432327 scopus 로고
    • Observations on stress-force-fabric relationships in idealized granular materials
    • DOI 10.1016/0167-6636(90)90030-J
    • Bathurst, R J. & Rothenburg, L. 1990 Observations on stress-force-fabric relationships in idealized granular materials. Mech. Mater. 9 (1), 65-80. (Pubitemid 20719159)
    • (1990) Mechanics of Materials , vol.9 , Issue.1 , pp. 65-80
    • Bathurst Richard, J.1    Rothenburg Leo2
  • 6
    • 41349101285 scopus 로고    scopus 로고
    • Granular shear flow dynamics and forces: Experiment and continuum theory
    • Bocquet, L, Losert, W., Schalk, D., Lubensky, T. C. & Gollub, J. P. 2001 Granular shear flow dynamics and forces: Experiment and continuum theory. Phys. Rev. E 65 (1), 011307.
    • (2001) Phys. Rev. e , vol.65 , Issue.1 , pp. 011307
    • Bocquet, L.1    Losert, W.2    Schalk, D.3    Lubensky, T.C.4    Gollub, J.P.5
  • 7
    • 77955560364 scopus 로고    scopus 로고
    • Jamming III: Characterizing randomness via the entropy of jammed matter
    • Briscoe, C, Song, C., Wang, P. & Makse, H. A. 2010 Jamming III: Characterizing randomness via the entropy of jammed matter. Physica A 389 (19), 3978-3999.
    • (2010) Physica A , vol.389 , Issue.19 , pp. 3978-3999
    • Briscoe, C.1    Song, C.2    Wang, P.3    Makse, H.A.4
  • 8
    • 0037173984 scopus 로고    scopus 로고
    • Granular shear flows at the elastic limit
    • DOI 10.1017/S002211200200109X
    • Campbell, C S. 2002 Granular shear flows at the elastic limit. J. Fluid Mech. 465, 261-291. (Pubitemid 34955939)
    • (2002) Journal of Fluid Mechanics , vol.465 , pp. 261-291
    • Campbell, C.S.1
  • 9
    • 77951135742 scopus 로고    scopus 로고
    • Jamming transitions in amorphous packings of frictionless spheres occur over a continuous range of volume fractions
    • Chaudhuri, P, Berthier, L. & Sastry, S. 2010 Jamming transitions in amorphous packings of frictionless spheres occur over a continuous range of volume fractions. Phys. Rev. Lett. 104 (16), 165701.
    • (2010) Phys. Rev. Lett. , vol.104 , Issue.16 , pp. 165701
    • Chaudhuri, P.1    Berthier, L.2    Sastry, S.3
  • 10
    • 27244449322 scopus 로고    scopus 로고
    • Rheophysics of dense granular materials: Discrete simulation of plane shear flows
    • da Cruz, F., Emam, S., Prochnow, M., Roux, J-N. & Chevoir, F. 2005 Rheophysics of dense granular materials: Discrete simulation of plane shear flows. Phys. Rev. E 72 (2), 021309.
    • (2005) Phys. Rev. e , vol.72 , Issue.2 , pp. 021309
    • Da Cruz, F.1    Emam, S.2    Prochnow, M.3    Roux, J.-N.4    Chevoir, F.5
  • 11
    • 0018441375 scopus 로고
    • Discrete numerical model for granular assemblies
    • Cundall, P A. & Strack, D. L. 1979 A discrete numerical model for granular assemblies. Ǵeotechnique 29, 47-65. (Pubitemid 9433658)
    • (1979) Geotechnique , vol.29 , Issue.1 , pp. 47-65
    • Cundall, P.A.1    Strack, O.D.L.2
  • 13
    • 0003623843 scopus 로고
    • Statistical Mechanics of Nonequilibrium Liquids
    • Academic Press
    • Evans, D J. & Morriss, G. P. 1990 Statistical Mechanics of Nonequilibrium Liquids. Theoretical chemistry 1. Academic Press.
    • (1990) Theoretical Chemistry , vol.1
    • Evans, D.J.1    Morriss, G.P.2
  • 14
    • 0019283709 scopus 로고
    • Shear-induced structure in a concentrated suspension of solid spheres
    • DOI 10.1122/1.549584
    • Gadala-Maria, F. & Acrivos, A. 1980 Shear-induced structure in a concentrated suspension of solid spheres. J. Rheol. 24 (6), 799-814. (Pubitemid 11465299)
    • (1980) Journal of Rheology , vol.24 , Issue.6 , pp. 799-814
    • Gadala-Maria, F.1    Acrivos Andreas2
  • 15
    • 80052148957 scopus 로고    scopus 로고
    • Transport equation for modeling particle contacts
    • (ed. U. Arena, R Chirone, M. Miccio & P. Salatino). Engineering Conferences International
    • Gera, D, Syamlal, M. & O'Brien, T. J. 2004 Transport equation for modeling particle contacts. In 11th Intl Conf. on Fluidization (ed. U. Arena, R Chirone, M. Miccio & P. Salatino). Engineering Conferences International.
    • (2004) 11th Intl Conf. on Fluidization
    • Gera, D.1    Syamlal, M.2    O'Brien, T.J.3
  • 16
    • 0022153035 scopus 로고
    • Dissipative materials as constitutive models for granular media
    • Goddard, J 1986 Dissipative materials as constitutive models for granular media. Acta Mechanica 63 (1), 3-13. (Pubitemid 17548659)
    • (1985) Acta Mechanica , vol.63 , Issue.1-4 , pp. 3-13
    • Goddard, J.D.1
  • 17
    • 77954622214 scopus 로고    scopus 로고
    • Parametric hypoplasticity as continuum model for granular media: From Stokesium to Mohr-Coulombium and beyond
    • Goddard, J 2010 Parametric hypoplasticity as continuum model for granular media: from Stokesium to Mohr-Coulombium and beyond. Granular Matter 12 (2), 145-150.
    • (2010) Granular Matter , vol.12 , Issue.2 , pp. 145-150
    • Goddard, J.1
  • 18
    • 0021202680 scopus 로고
    • Dissipative materials as models of thixotropy and plasticity
    • DOI 10.1016/0377-0257(84)80041-5
    • Goddard, J D. 1984 Dissipative materials as models of thixotropy and plasticity. J. Non-Newtonian Fluid Mech. 14, 141-160. (Pubitemid 14530629)
    • (1984) Journal of Non-Newtonian Fluid Mechanics , vol.14 , pp. 141-160
    • Goddard, J.D.1
  • 19
    • 0008237541 scopus 로고    scopus 로고
    • Continuum modeling of granular assemblies
    • (ed. H. J. Herrmann), chap. 1 Kluwer
    • Goddard, J D. 1998 Continuum modeling of granular assemblies. In Physics of Dry Granular Media (ed. H. J. Herrmann), chap. 1, pp. 1-24. Kluwer.
    • (1998) Physics of Dry Granular Media , pp. 1-24
    • Goddard, J.D.1
  • 20
    • 33751067310 scopus 로고    scopus 로고
    • A dissipative anisotropic fluid model for non-colloidal particle dispersions
    • DOI 10.1017/S0022112006002333, PII S0022112006002333
    • Goddard, J D. 2006 A dissipative anisotropic fluid model for non-colloidal particle dispersions. J. Fluid Mech. 568 (1), 1-17. (Pubitemid 44752484)
    • (2006) Journal of Fluid Mechanics , vol.568 , pp. 1-17
    • Goddard, J.D.1
  • 21
    • 33745922095 scopus 로고    scopus 로고
    • Some properties of a new model for slow flow of granular materials
    • DOI 10.1007/s11012-005-5903-7
    • Harris, D 2006 Some properties of a new model for slow flow of granular materials. Meccanica 41 (3), 351-362. (Pubitemid 44048360)
    • (2006) Meccanica , vol.41 , Issue.3 , pp. 351-362
    • Harris, D.1
  • 22
    • 0000513814 scopus 로고    scopus 로고
    • Mode-coupling theory for the pasty rheology of soft glassy materials
    • Hébraud, P. & Lequeux, F. 1998 Mode-coupling theory for the pasty rheology of soft glassy materials. Phys. Rev. Lett. 81 (14), 2934-2937. (Pubitemid 128631829)
    • (1998) Physical Review Letters , vol.81 , Issue.14 , pp. 2934-2937
    • Hebraud, P.1    Lequeux, F.2
  • 24
    • 0022138291 scopus 로고
    • Some features of the flow of granular materials and aerated granular materials
    • Jackson, R 1986 Some features of the flow of granular materials and aerated granular materials. J. Rheol. 30 (5), 907-930.
    • (1986) J. Rheol. , vol.30 , Issue.5 , pp. 907-930
    • Jackson, R.1
  • 25
    • 67649429767 scopus 로고    scopus 로고
    • Predicting the flow mode from hoppers using the discrete element method
    • Ketterhagen, W R., Curtis, J. S., Wassgren, C. R. & Hancock, B. C. 2009 Predicting the flow mode from hoppers using the discrete element method. Powder Technol. 195 (1), 1-10.
    • (2009) Powder Technol. , vol.195 , Issue.1 , pp. 1-10
    • Ketterhagen, W.R.1    Curtis, J.S.2    Wassgren, C.R.3    Hancock, B.C.4
  • 26
    • 34047190735 scopus 로고    scopus 로고
    • Measurement of growing dynamical length scales and prediction of the jamming transition in a granular material
    • Keys, A S., Abate, A. R., Glotzer, S. C. & Durian, D. J. 2007 Measurement of growing dynamical length scales and prediction of the jamming transition in a granular material. Nat. Phys. 3 (4), 260-264.
    • (2007) Nat. Phys. , vol.3 , Issue.4 , pp. 260-264
    • Keys, A.S.1    Abate, A.R.2    Glotzer, S.C.3    Durian, D.J.4
  • 27
    • 77954624690 scopus 로고    scopus 로고
    • Transmission of stresses in static and sheared granular beds: The influence of particle size, shearing rate, layer thickness and sensor size
    • Kheiripour Langroudi, M., Sun, J., Sundaresan, S. & Tardos, G. I. 2010 Transmission of stresses in static and sheared granular beds: The influence of particle size, shearing rate, layer thickness and sensor size. Powder Technol. 203 (1), 23-32.
    • (2010) Powder Technol. , vol.203 , Issue.1 , pp. 23-32
    • Kheiripour Langroudi, M.1    Sun, J.2    Sundaresan, S.3    Tardos, G.I.4
  • 28
    • 0017722509 scopus 로고
    • Elasto-plastic stress-strain theory for cohesionless soil with curved yield surfaces
    • Lade, P V. 1977 Elasto-plastic stress-strain theory for cohesionless soil with curved yield surfaces. Intl J. Solids Struct. 13 (11), 1019-1035.
    • (1977) Intl J. Solids Struct. , vol.13 , Issue.11 , pp. 1019-1035
    • Lade, P.V.1
  • 29
    • 7544220267 scopus 로고
    • The computer study of transport processes under extreme conditions
    • Lees, A W. & Edwards, S. F. 1972 The computer study of transport processes under extreme conditions. J. Phys. C 5 (15), 1921-1928.
    • (1972) J. Phys. C , vol.5 , Issue.15 , pp. 1921-1928
    • Lees, A.W.1    Edwards, S.F.2
  • 30
    • 37749053821 scopus 로고    scopus 로고
    • Shear-weakening of the transitional regime for granular flow
    • Lu, K, Brodsky, E. E. & Kavehpour, H. P. 2007 Shear-weakening of the transitional regime for granular flow. J. Fluid Mech. 587 (1), 347-372.
    • (2007) J. Fluid Mech. , vol.587 , Issue.1 , pp. 347-372
    • Lu, K.1    Brodsky, E.E.2    Kavehpour, H.P.3
  • 31
    • 5444237544 scopus 로고    scopus 로고
    • Micro-macro transition for anisotropic, frictional granular packings
    • Luding, S 2004 Micro-macro transition for anisotropic, frictional granular packings. Intl J. Solids Struct. 41 (21), 5821-5836.
    • (2004) Intl J. Solids Struct. , vol.41 , Issue.21 , pp. 5821-5836
    • Luding, S.1
  • 32
    • 21044441019 scopus 로고    scopus 로고
    • Anisotropy in cohesive, frictional granular media
    • Luding, S 2005 Anisotropy in cohesive, frictional granular media. J. Phys. Condens. Matter 17 (24), 2623-2640.
    • (2005) J. Phys. Condens. Matter , vol.17 , Issue.24 , pp. 2623-2640
    • Luding, S.1
  • 33
    • 21344432493 scopus 로고    scopus 로고
    • Contact force measurements and stress-induced anisotropy in granular materials
    • DOI 10.1038/nature03805
    • Majmudar, T S. & Behringer, R. P. 2005 Contact force measurements and stress-induced anisotropy in granular materials. Nature 435 (7045), 1079-1082. (Pubitemid 40916230)
    • (2005) Nature , vol.435 , Issue.7045 , pp. 1079-1082
    • Majmudar, T.S.1    Behringer, R.P.2
  • 35
    • 0001136724 scopus 로고    scopus 로고
    • Packing of compressible granular materials
    • Makse, H, Johnson, D. L. & Schwartz, L. M. 2000 Packing of compressible granular materials. Phys. Rev. Lett. 84 (18), 4160-4163.
    • (2000) Phys. Rev. Lett. , vol.84 , Issue.18 , pp. 4160-4163
    • Makse, H.1    Johnson, D.L.2    Schwartz, L.M.3
  • 36
    • 0017997079 scopus 로고
    • Initial planar deformation of dilatant granular materials
    • DOI 10.1016/0022-5096(78)90021-2
    • Mehrabadi, M M. & Cowin, S. C. 1978 Initial planar deformation of dilatant granular materials. J. Mech. Phys. Solids 26 (4), 269-284. (Pubitemid 9428392)
    • (1978) J Mech Phys Solids , vol.26 , Issue.4 , pp. 269-284
    • Mehrabadi, M.M.1    Cowin, S.C.2
  • 37
    • 11344275967 scopus 로고    scopus 로고
    • On dense granular flows
    • MiDi, G D. R. 2004 On dense granular flows. Eur. Phys. J. E 14 (4), 341-305.
    • (2004) Eur. Phys. J. e , vol.14 , Issue.4 , pp. 341-305
    • Midi, G.D.R.1
  • 38
    • 0037172089 scopus 로고    scopus 로고
    • A frictional Cosserat model for the slow shearing of granular materials
    • Mohan, L S., Rao, K. K. & Nott, P. R. 2002 A frictional Cosserat model for the slow shearing of granular materials. J. Fluid Mech. 457 (1), 377-409.
    • (2002) J. Fluid Mech. , vol.457 , Issue.1 , pp. 377-409
    • Mohan, L.S.1    Rao, K.K.2    Nott, P.R.3
  • 39
    • 0034721175 scopus 로고    scopus 로고
    • Signatures of granular microstructure in dense shear flows
    • DOI 10.1038/35019032
    • Mueth, D M., Debregeas, G. F., Karczmar, G. S., Eng, P. J., Nagel, S. R. & Jaeger, H. M. 2000 Signatures of granular microstructure in dense shear flows. Nature 406 (6794), 385-389. (Pubitemid 30625553)
    • (2000) Nature , vol.406 , Issue.6794 , pp. 385-389
    • Mueth, D.M.1    Debregeas, G.F.2    Karczmar, G.S.3    Eng, P.J.4    Nagel, S.R.5    Jaeger, H.M.6
  • 41
    • 0033885710 scopus 로고    scopus 로고
    • Micromechanically-based constitutive model for frictional deformation of granular materials
    • DOI 10.1016/S0022-5096(99)00089-7
    • Nemat-Nasser, S. 2000 A micromechanically-based constitutive model for frictional deformation of granular materials. J. Mech. Phys. Solids 48 (6-7), 1541-1563. (Pubitemid 30594333)
    • (2000) Journal of the Mechanics and Physics of Solids , vol.48 , Issue.6 , pp. 1541-1563
    • Nemat-Nasser, S.1
  • 42
    • 0019290955 scopus 로고
    • Some experimentally based fundamental results on the mechanical behaviour of granular materials
    • Oda, M, Konishi, J. & Nemat-Nasser, S. 1980 Some experimentally based fundamental results on the mechanical behaviour of granular materials. Ǵeotechnique 30 (4), 479-495. (Pubitemid 11464681)
    • (1980) Geotechnique , vol.30 , Issue.4 , pp. 479-495
    • Oda, M.1    Konishi, J.2    Nemat-Nasser, S.3
  • 43
    • 2442518273 scopus 로고    scopus 로고
    • Jamming at zero temperature and zero applied stress: The epitome of disorder
    • 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. Phys. Rev. E 68 (1), 011306.
    • (2003) Phys. Rev. e , vol.68 , Issue.1 , pp. 011306
    • O'Hern, C.S.1    Silbert, L.E.2    Liu, A.J.3    Nagel, S.R.4
  • 44
    • 0028328207 scopus 로고
    • Energy dissipation in inelastic flow of saturated cohesionless granular media
    • Okada, N & Nemat-Nasser, S. 1994 Energy dissipation in inelastic flow of saturated cohesionless granular media. Ǵeotechnique 44, 1-19. (Pubitemid 24400632)
    • (1994) Geotechnique , vol.44 , Issue.1 , pp. 1-19
    • Okada, N.1    Nemat-Nasser, S.2
  • 45
    • 48849107501 scopus 로고    scopus 로고
    • Frictionless bead packs have macroscopic friction, but no dilatancy
    • Peyneau, P-E. & Roux, J.-N. 2008 Frictionless bead packs have macroscopic friction, but no dilatancy. Phys. Rev. E 78 (1), 011307.
    • (2008) Phys. Rev. e , vol.78 , Issue.1 , pp. 011307
    • Peyneau, P.-E.1    Roux, J.-N.2
  • 46
    • 0002467378 scopus 로고
    • Fast parallel algorithms for short-range molecular dynamics
    • Plimpton, S 1995 Fast parallel algorithms for short-range molecular dynamics. J. Comput. Phys. 117 (1), 1-19.
    • (1995) J. Comput. Phys. , vol.117 , Issue.1 , pp. 1-19
    • Plimpton, S.1
  • 47
    • 11744290710 scopus 로고    scopus 로고
    • Bimodal character of stress transmission in granular packings
    • Radjai, F, Wolf, D. E., Jean, M. & Moreau, J.-J. 1998 Bimodal character of stress transmission in granular packings. Phys. Rev. Lett. 80 (1), 61-64. (Pubitemid 128621449)
    • (1998) Physical Review Letters , vol.80 , Issue.1 , pp. 61-64
    • Radjai, F.1    Wolf, D.E.2    Jean, M.3    Moreau, J.-J.4
  • 48
    • 0001510883 scopus 로고
    • On the dilatancy of media composed of rigid particles, with experimental illustrations
    • Reynolds, O 1885 On the dilatancy of media composed of rigid particles, with experimental illustrations. Phil. Mag. 20 (127), 469-481.
    • (1885) Phil. Mag. , vol.20 , Issue.127 , pp. 469-481
    • Reynolds, O.1
  • 49
    • 5444267321 scopus 로고    scopus 로고
    • Critical state and evolution of coordination number in simulated granular materials
    • Rothenburg, L & Kruyt, N. P. 2004 Critical state and evolution of coordination number in simulated granular materials. Intl J. Solids Struct. 41 (21), 5763-5774.
    • (2004) Intl J. Solids Struct. , vol.41 , Issue.21 , pp. 5763-5774
    • Rothenburg, L.1    Kruyt, N.P.2
  • 50
    • 64049110081 scopus 로고    scopus 로고
    • Assessing continuum postulates in simulations of granular flow
    • Rycroft, C H., Kamrin, K. & Bazant, M. Z. 2009 Assessing continuum postulates in simulations of granular flow. J. Mech. Phys. Solids 57 (5), 828-839.
    • (2009) J. Mech. Phys. Solids , vol.57 , Issue.5 , pp. 828-839
    • Rycroft, C.H.1    Kamrin, K.2    Bazant, M.Z.3
  • 51
    • 0018465996 scopus 로고
    • Gravity flow of cohesionless granular materials in chutes and channels
    • Savage, S B. 1979 Gravity flow of cohesionless granular materials in chutes and channels. J. Fluid Mech. 92, 53-96.
    • (1979) J. Fluid Mech. , vol.92 , pp. 53-96
    • Savage, S.B.1
  • 52
  • 53
    • 0021641958 scopus 로고
    • Stresses developed by dry cohesionless granular materials sheared in an annular shear cell
    • Savage, S B. & Sayed, M. 1984 Stresses developed by dry cohesionless granular materials sheared in an annular shear cell. J. Fluid Mech. 142 (1), 391-430. (Pubitemid 14606662)
    • (1984) Journal of Fluid Mechanics , vol.142 , pp. 391-430
    • Savage, S.B.1    Sayed, M.2
  • 54
    • 0002197012 scopus 로고
    • Instability in the evolution equations describing incompressible granular flow
    • Schaeffer, D G. 1987 Instability in the evolution equations describing incompressible granular flow. J. Differ. Equ. 66, 19-50.
    • (1987) J. Differ. Equ. , vol.66 , pp. 19-50
    • Schaeffer, D.G.1
  • 56
    • 0002137737 scopus 로고    scopus 로고
    • Force schemes in simulations of granular materials
    • Shäfer, J., Dippel, S. & Wolf, D. E. 1996 Force schemes in simulations of granular materials. J. Phys. 16 (1), 5-20.
    • (1996) J. Phys. , vol.16 , Issue.1 , pp. 5-20
    • Shäfer, J.1    Dippel, S.2    Wolf, D.E.3
  • 57
    • 33846695808 scopus 로고    scopus 로고
    • Force mobilization and generalized isostaticity in jammed packings of frictional grains
    • Shundyak, K, van Hecke, M. & van Saarloos, W. 2007 Force mobilization and generalized isostaticity in jammed packings of frictional grains. Phys. Rev. E 75 (1), 010301(R).
    • (2007) Phys. Rev. e , vol.75 , Issue.1
    • Shundyak, K.1    Van Hecke, M.2    Van Saarloos, W.3
  • 59
    • 34547908838 scopus 로고    scopus 로고
    • Rheology and contact lifetimes in dense granular flows
    • Silbert, L E., Grest, G. S., Brewster, R. & Levine, A. J. 2007 Rheology and contact lifetimes in dense granular flows. Phys. Rev. Lett. 99 (6), 068002.
    • (2007) Phys. Rev. Lett. , vol.99 , Issue.6 , pp. 068002
    • Silbert, L.E.1    Grest, G.S.2    Brewster, R.3    Levine, A.J.4
  • 61
    • 44449091850 scopus 로고    scopus 로고
    • A phase diagram for jammed matter
    • DOI 10.1038/nature06981, PII NATURE06981
    • Song, C, Wang, P. & Makse, H. A. 2008 A phase diagram for jammed matter. Nature 453 (7195), 629-632. (Pubitemid 351771304)
    • (2008) Nature , vol.453 , Issue.7195 , pp. 629-632
    • Song, C.1    Wang, P.2    Makse, H.A.3
  • 62
    • 0001211769 scopus 로고
    • A theory of the kinematics of ideal soils under plane strain conditions
    • Spencer, A J. M. 1964 A theory of the kinematics of ideal soils under plane strain conditions. J. Mech. Phys. Solids 12 (5), 337-351.
    • (1964) J. Mech. Phys. Solids , vol.12 , Issue.5 , pp. 337-351
    • Spencer, A.J.M.1
  • 63
    • 0026137435 scopus 로고
    • Experimental investigation of fabric-stress relations in granular materials
    • DOI 10.1016/0167-6636(91)90010-W
    • Subhash, G, Nemat-Nasser, S., Mehrabadi, M. M. & Shodj, H. M. 1991 Experimental investigation of fabric-stress relations in granular materials. Mech. Mater. 11 (2), 87-106. (Pubitemid 21731025)
    • (1991) Mechanics of Materials , vol.11 , Issue.2 , pp. 87-106
    • Subbash, G.1    Nemat-Nasser, S.2    Mehrabadi, M.M.3    Shodja, H.M.4
  • 65
    • 0037417109 scopus 로고    scopus 로고
    • Slow and intermediate flow of a frictional bulk powder in the Couette geometry
    • DOI 10.1016/S0032-5910(02)00315-7, PII S0032591002003157
    • Tardos, G I., McNamara, S. & Talu, I. 2003 Slow and intermediate flow of a frictional bulk powder in the Couette geometry. Powder Technol. 131 (1), 23-39. (Pubitemid 36279649)
    • (2003) Powder Technology , vol.131 , Issue.1 , pp. 23-39
    • Tardos, G.I.1    McNamara, S.2    Talu, I.3
  • 66
    • 0034002535 scopus 로고    scopus 로고
    • Numerical simulations of deviatoric shear deformation of granular media
    • Thornton, C. 2000 Numerical simulations of deviatoric shear deformation of granular media. Ǵeotechnique 50 (1), 43-53. (Pubitemid 30218531)
    • (2000) Geotechnique , vol.50 , Issue.1 , pp. 43-53
    • Thornton, C.1
  • 67
    • 19544377662 scopus 로고    scopus 로고
    • Transient and oscillatory granular shear flow
    • Toiya, M, Stambaugh, J. & Losert, W. 2004 Transient and oscillatory granular shear flow. Phys. Rev. Lett. 93 (8), 088001.
    • (2004) Phys. Rev. Lett. , vol.93 , Issue.8 , pp. 088001
    • Toiya, M.1    Stambaugh, J.2    Losert, W.3
  • 68
    • 7244255882 scopus 로고    scopus 로고
    • Transients in sheared granular matter
    • DOI 10.1140/epje/i2004-10022-4
    • Utter, B & Behringer, R. P. 2004 Transients in sheared granular matter. Eur. Phys. J. E 14 (4), 373-380. (Pubitemid 40877370)
    • (2004) European Physical Journal E , vol.14 , Issue.4 , pp. 373-380
    • Utter, B.1    Behringer, R.P.2
  • 69
    • 0018916945 scopus 로고
    • The behaviour of Leighton Buzzard sand in cyclic simple shear tests
    • (ed. G. N. Pande & O. C. Zienkiewicz) Balkema
    • Wood, D M. & Budhu, M. 1980 The behaviour of Leighton Buzzard sand in cyclic simple shear tests. In Soilds under Cyclic and Transient Loading (ed. G. N. Pande & O. C. Zienkiewicz), p. 9. Balkema.
    • (1980) Soilds under Cyclic and Transient Loading , pp. 9
    • Wood, D.M.1    Budhu, M.2
  • 70
    • 0040326140 scopus 로고
    • Maximum density of sand by repeated straining in simple shear
    • Youd, T L. 1971 Maximum density of sand by repeated straining in simple shear. Highway Res. Rec. 374, 1-6.
    • (1971) Highway Res. Rec. , vol.374 , pp. 1-6
    • Youd, T.L.1
  • 71
    • 27244455407 scopus 로고    scopus 로고
    • Jamming transition in emulsions and granular materials
    • Zhang, H P. & Makse, H. A. 2005 Jamming transition in emulsions and granular materials. Phys. Rev. E 72 (1), 011301.
    • (2005) Phys. Rev. e , vol.72 , Issue.1 , pp. 011301
    • Zhang, H.P.1    Makse, H.A.2
  • 72
    • 28744454986 scopus 로고    scopus 로고
    • Incorporating the effects of fabric in the dilatant double shearing model for planar deformation of granular materials
    • DOI 10.1016/j.ijplas.2005.04.008, PII S0749641905000902
    • Zhu, H, Mehrabadi, M. M. & Massoudi, M. 2006 Incorporating the effects of fabric in the dilatant double shearing model for planar deformation of granular materials. Intl J. Plast. 22 (4), 628-653. (Pubitemid 41759802)
    • (2006) International Journal of Plasticity , vol.22 , Issue.4 , pp. 628-653
    • Zhu, H.1    Mehrabadi, M.M.2    Massoudi, M.3


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