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Volumn 37, Issue 9, 2005, Pages 980-1006

A multi-scale approach to granular materials

Author keywords

Granular materials; Homogenization; Love formula; Micro structure; Multi scale modeling

Indexed keywords

COMPUTER SIMULATION; LOADS (FORCES); MATHEMATICAL MODELS; MICROSTRUCTURE; PARAMETER ESTIMATION; PROBABILITY DENSITY FUNCTION; STRESSES; TENSORS;

EID: 18844364772     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmat.2004.11.002     Document Type: Article
Times cited : (137)

References (89)
  • 1
    • 0030110482 scopus 로고    scopus 로고
    • Stress and strain in granular assemblies
    • K. Bagi Stress and strain in granular assemblies Mechanics of Materials 22 1996 165 177
    • (1996) Mechanics of Materials , vol.22 , pp. 165-177
    • Bagi, K.1
  • 2
    • 0001095687 scopus 로고
    • Double sliding model cyclic deformation of granular materials including dilatancy effects
    • B. Balendran, and S. Nemat-Nasser Double sliding model cyclic deformation of granular materials including dilatancy effects Journal of the Mechanics and Physics of Solids 41 3 1993 573 612
    • (1993) Journal of the Mechanics and Physics of Solids , vol.41 , Issue.3 , pp. 573-612
    • Balendran, B.1    Nemat-Nasser, S.2
  • 4
    • 0028731098 scopus 로고
    • Numerical simulations of the incremental responses of idealized granular materials
    • J.P. Bardet Numerical simulations of the incremental responses of idealized granular materials International Journal of Plasticity 10 8 1994 879 908
    • (1994) International Journal of Plasticity , vol.10 , Issue.8 , pp. 879-908
    • Bardet, J.P.1
  • 5
    • 0028463757 scopus 로고
    • Observations on the effects of particle rotations on the failure of idealized granular materials
    • J.P. Bardet Observations on the effects of particle rotations on the failure of idealized granular materials Mechanics of Materials 18 1994 159 182
    • (1994) Mechanics of Materials , vol.18 , pp. 159-182
    • Bardet, J.P.1
  • 6
    • 0007904163 scopus 로고    scopus 로고
    • Introduction to computational granular mechanics
    • B. Cambou Springer Wien New York
    • J.P. Bardet Introduction to computational granular mechanics B. Cambou Behaviour of Granular Materials 1998 Springer Wien New York 99 169
    • (1998) Behaviour of Granular Materials , pp. 99-169
    • Bardet, J.P.1
  • 7
    • 18844414654 scopus 로고
    • Application of micro-mechanics to incrementally nonlinear constitutive equations for granular media
    • Biarez, J., Gourvès, R., (Eds.)
    • Bardet, J.P., Proubet, J., 1989. Application of micro-mechanics to incrementally nonlinear constitutive equations for granular media. In: Biarez, J., Gourvès, R., (Eds.), Powders and Grains. pp. 265-273
    • (1989) Powders and Grains , pp. 265-273
    • Bardet, J.P.1    Proubet, J.2
  • 9
    • 0000247323 scopus 로고
    • Microplane model for brittle-plastic material
    • Z. Bazant, and P. Prat Microplane model for brittle-plastic material ASCE Journal of Engineering Mechanics 114 10 1988 1673 1702
    • (1988) ASCE Journal of Engineering Mechanics , vol.114 , Issue.10 , pp. 1673-1702
    • Bazant, Z.1    Prat, P.2
  • 12
    • 0001243105 scopus 로고
    • Changes in the microstructure of snow under large deformations
    • R.L. Brown, and M.Q. Edens Changes in the microstructure of snow under large deformations Journal of Glaciology 37 126 1991 193 202
    • (1991) Journal of Glaciology , vol.37 , Issue.126 , pp. 193-202
    • Brown, R.L.1    Edens, M.Q.2
  • 13
    • 0006864834 scopus 로고
    • Evolution quasistatique d'un milieu granulaire, loi incrémentale par homogénéisation
    • Hermès publ.
    • D. Caillerie Evolution quasistatique d'un milieu granulaire, loi incrémentale par homogénéisation Des matériaux aux ouvrages 1995 Hermès publ. 53 80
    • (1995) Des Matériaux Aux Ouvrages , pp. 53-80
    • Caillerie, D.1
  • 14
    • 0031117527 scopus 로고    scopus 로고
    • Experimental micro-mechanical analysis of a 2D granular material, relation between structure evolution and loading path
    • F. Calvetti, G. Combe, and J. Lanier Experimental micro-mechanical analysis of a 2D granular material, relation between structure evolution and loading path Mechanics of Cohesive-Frictional Materials 2 1997 121 163
    • (1997) Mechanics of Cohesive-Frictional Materials , vol.2 , pp. 121-163
    • Calvetti, F.1    Combe, G.2    Lanier, J.3
  • 15
    • 1842649997 scopus 로고    scopus 로고
    • A numerical investigation of the incremental behavior of granular soils
    • F. Calvetti, C. Viggiani, and C. Tamagnini a numerical investigation of the incremental behavior of granular soils Italian Geotechnical Journal 3 2003 11 29
    • (2003) Italian Geotechnical Journal , vol.3 , pp. 11-29
    • Calvetti, F.1    Viggiani, C.2    Tamagnini, C.3
  • 16
    • 0002868714 scopus 로고
    • From global to local variables in granular materials
    • Thorton Balkema Rotterdam
    • B. Cambou From global to local variables in granular materials Thorton Powders and Grains 1993 Balkema Rotterdam 73 86
    • (1993) Powders and Grains , pp. 73-86
    • Cambou, B.1
  • 20
    • 0025247317 scopus 로고
    • Micro-mechanical modelling of cemented sands under low amplitude oscillations
    • C.S. Chang, A. Misra, and S. Sundaram Micro-mechanical modelling of cemented sands under low amplitude oscillations Geotechnique 40 2 1990 251 263
    • (1990) Geotechnique , vol.40 , Issue.2 , pp. 251-263
    • Chang, C.S.1    Misra, A.2    Sundaram, S.3
  • 21
    • 0027640887 scopus 로고
    • Micromechanical modelling of deformation and failure for granulates with frictional contacts
    • C.S. Chang Micromechanical modelling of deformation and failure for granulates with frictional contacts Mechanics of Materials 16 1992 13 24
    • (1992) Mechanics of Materials , vol.16 , pp. 13-24
    • Chang, C.S.1
  • 22
    • 0000756605 scopus 로고
    • Estimates of elastic modulus for media of randomly packed granulates
    • C.S. Chang, and C.L. Liao Estimates of elastic modulus for media of randomly packed granulates Applied Mechanics Review 47 1994 197 206
    • (1994) Applied Mechanics Review , vol.47 , pp. 197-206
    • Chang, C.S.1    Liao, C.L.2
  • 25
    • 0018441375 scopus 로고
    • A discrete numerical model for granular assemblies
    • P.A. Cundall, and O.D.L. Strack A discrete numerical model for granular assemblies Géotechnique 29 1979 47 65
    • (1979) Géotechnique , vol.29 , pp. 47-65
    • Cundall, P.A.1    Strack, O.D.L.2
  • 28
    • 0025235051 scopus 로고
    • The expression of rheological laws in incremental form and the main classes of constitutive equations
    • F. Darve Taylor and Francis Books
    • F. Darve The expression of rheological laws in incremental form and the main classes of constitutive equations F. Darve Geomaterials Constitutive Equations and Modelling 1990 Taylor and Francis Books 123 148
    • (1990) Geomaterials Constitutive Equations and Modelling , pp. 123-148
    • Darve, F.1
  • 29
    • 0029528668 scopus 로고
    • Yield surfaces and principle of superposition revisited by incrementally non-linear constitutive relations
    • F. Darve, E. Flavigny, and M. Meghachou Yield surfaces and principle of superposition revisited by incrementally non-linear constitutive relations International Journal of Plasticity 11 8 1995 927 948
    • (1995) International Journal of Plasticity , vol.11 , Issue.8 , pp. 927-948
    • Darve, F.1    Flavigny, E.2    Meghachou, M.3
  • 31
    • 85011992751 scopus 로고
    • The double sliding, free rotating model for granular assemblies
    • G. De Josselin de Jong The double sliding, free rotating model for granular assemblies Géotechnique 21 1971 155 163
    • (1971) Géotechnique , vol.21 , pp. 155-163
    • De Josselin De Jong, G.1
  • 32
    • 0017254637 scopus 로고
    • An experimental investigation of flow rules for granular materials using optically sensitive glass particles
    • A. Drescher An experimental investigation of flow rules for granular materials using optically sensitive glass particles Géotechnique 26 1976 591 601
    • (1976) Géotechnique , vol.26 , pp. 591-601
    • Drescher, A.1
  • 33
    • 0000428440 scopus 로고
    • Soil mechanics and plastic analysis for limit design
    • D. Drucker, and W. Prager Soil mechanics and plastic analysis for limit design Quarterly Applied Mathematics 10 1952 157 165
    • (1952) Quarterly Applied Mathematics , vol.10 , pp. 157-165
    • Drucker, D.1    Prager, W.2
  • 35
    • 0002056206 scopus 로고
    • A new constitutive theory for snow based on a micromechanical approach
    • Avalanche Movement and Effects IAHS Publication no. 162
    • Hansen, A.C., Brown, R.L., 1987. A new constitutive theory for snow based on a micromechanical approach. In: Avalanche Movement and Effects, Proceedings of the Davos Symposium. IAHS Publication no. 162, pp. 87-104
    • (1987) Proceedings of the Davos Symposium , pp. 87-104
    • Hansen, A.C.1    Brown, R.L.2
  • 37
    • 13844321192 scopus 로고    scopus 로고
    • Experimental behaviour of granular materials
    • B. Cambou Springer Wien New York
    • P.Y. Hicher Experimental behaviour of granular materials B. Cambou Behaviour of Granular Materials 1998 Springer Wien New York 1 99
    • (1998) Behaviour of Granular Materials , pp. 1-99
    • Hicher, P.Y.1
  • 38
    • 0000370229 scopus 로고
    • On the classical constitutive relations for elastic-plastic solids
    • B. Broberg J. Hult F. Niordson Almqvist and Wiksell
    • R. Hill On the classical constitutive relations for elastic-plastic solids B. Broberg J. Hult F. Niordson Recent Progress in Applied Mechanics, Folke Odqvist Volume 1967 Almqvist and Wiksell 241 249
    • (1967) Recent Progress in Applied Mechanics, Folke Odqvist Volume , pp. 241-249
    • Hill, R.1
  • 39
    • 0001823382 scopus 로고
    • The behaviour of an assembly of rotund, rigid cohesionless particles-I, II
    • M.R. Horne The behaviour of an assembly of rotund, rigid cohesionless particles-I, II Proceedings of Royal Society of London 286 1965 62 97
    • (1965) Proceedings of Royal Society of London , vol.286 , pp. 62-97
    • Horne, M.R.1
  • 43
    • 18844432959 scopus 로고    scopus 로고
    • On the incremental non-linearity observed in a numerical model for granular media
    • Y. Kishino On the incremental non-linearity observed in a numerical model for granular media Italian Geotechnical Journal 3 2003 30 38
    • (2003) Italian Geotechnical Journal , Issue.3 , pp. 30-38
    • Kishino, Y.1
  • 46
    • 33746104082 scopus 로고    scopus 로고
    • Micromechanical definition of the strain tensor for granular materials
    • N.P. Kruyt, and L. Rothenburg Micromechanical definition of the strain tensor for granular materials Journal of Applied Mechanics 118 1996 706 711
    • (1996) Journal of Applied Mechanics , vol.118 , pp. 706-711
    • Kruyt, N.P.1    Rothenburg, L.2
  • 47
    • 0000687486 scopus 로고
    • The relationship between the visco-elastic and structural properties of fine-grained snow
    • P.R. Kry The relationship between the visco-elastic and structural properties of fine-grained snow Journal of Glaciology 14 72 1975 467 477
    • (1975) Journal of Glaciology , vol.14 , Issue.72 , pp. 467-477
    • Kry, P.R.1
  • 54
    • 84969061186 scopus 로고
    • Elastic spheres in contact under varying oblique forces
    • R.D. Mindlin, and H. Deresiewicz Elastic spheres in contact under varying oblique forces Journal of Applied Mechanics 20 1953 327 344
    • (1953) Journal of Applied Mechanics , vol.20 , pp. 327-344
    • Mindlin, R.D.1    Deresiewicz, H.2
  • 55
    • 0023404291 scopus 로고
    • The thickness of shear band in granular materials
    • H.B. Muhlhaus, and I. Vardoulakis The thickness of shear band in granular materials Géotechnique 37 1987 271 283
    • (1987) Géotechnique , vol.37 , pp. 271-283
    • Muhlhaus, H.B.1    Vardoulakis, I.2
  • 59
    • 0033885710 scopus 로고    scopus 로고
    • A micromechanically-based constitutive model for frictional deformation of granular materials
    • S. Nemat-Nasser A micromechanically-based constitutive model for frictional deformation of granular materials Journal of the Mechanics and Physics of Solids 48 6-7 2000 1541 1563
    • (2000) Journal of the Mechanics and Physics of Solids , vol.48 , Issue.6-7 , pp. 1541-1563
    • Nemat-Nasser, S.1
  • 61
    • 2142800633 scopus 로고    scopus 로고
    • Constitutive modelling of a snowcover with a change in scale
    • F. Nicot Constitutive modelling of a snowcover with a change in scale European Journal of Mechanics A/Solids 22-3 2003 325 340
    • (2003) European Journal of Mechanics A/Solids , vol.22 , Issue.3 , pp. 325-340
    • Nicot, F.1
  • 62
    • 3242773771 scopus 로고    scopus 로고
    • Constitutive modelling of snow as a granular material
    • F. Nicot Constitutive modelling of snow as a granular material Granular Matter 6 2003 47 60
    • (2003) Granular Matter , vol.6 , pp. 47-60
    • Nicot, F.1
  • 64
    • 2142827110 scopus 로고    scopus 로고
    • From a constitutive modelling of a snowcover to the design of flexible structures. Part I: Mechanical modelling
    • F. Nicot From a constitutive modelling of a snowcover to the design of flexible structures. Part I: Mechanical modelling International Journal of Solids and Structures 41/11-12 2004 3317 3337
    • (2004) International Journal of Solids and Structures , vol.41 , Issue.11-12 , pp. 3317-3337
    • Nicot, F.1
  • 65
    • 2142653552 scopus 로고    scopus 로고
    • From a constitutive modelling of a snowcover to the design of flexible structures. Part II: Some numerical aspects
    • F. Nicot From a constitutive modelling of a snowcover to the design of flexible structures. Part II: Some numerical aspects International Journal of Solids and Structures 41/11-12 2004 3339 3352
    • (2004) International Journal of Solids and Structures , vol.41 , Issue.11-12 , pp. 3339-3352
    • Nicot, F.1
  • 66
    • 18844426094 scopus 로고    scopus 로고
    • A micro-directional model for granular materials, constitutive structure and micro-structural interpretation
    • submitted for publication
    • Nicot, F., Darve, F., 2004. A micro-directional model for granular materials, constitutive structure and micro-structural interpretation. Journal of Mechanics and Physics of Solids, submitted for publication
    • (2004) Journal of Mechanics and Physics of Solids
    • Nicot, F.1    Darve, F.2
  • 67
    • 0002632693 scopus 로고
    • The mechanism of fabric changes during compressional deformation of sand
    • M. Oda The mechanism of fabric changes during compressional deformation of sand Soils and Foundations 12 1972 1 23
    • (1972) Soils and Foundations , vol.12 , pp. 1-23
    • Oda, M.1
  • 68
    • 0002815882 scopus 로고
    • Microscopic deformation mechanism of granular material in simple shear
    • M. Oda, and J. Konishi Microscopic deformation mechanism of granular material in simple shear Soils and Foundations 14 4 1974 15 32
    • (1974) Soils and Foundations , vol.14 , Issue.4 , pp. 15-32
    • Oda, M.1    Konishi, J.2
  • 69
    • 0019290955 scopus 로고
    • Some experimentally based fundamental results on the mechanical behaviour of granular materials
    • M. Oda, J. Konishi, and S. Nemat-Nasser Some experimentally based fundamental results on the mechanical behaviour of granular materials Géotechnique 30 4 1980 479 495
    • (1980) Géotechnique , vol.30 , Issue.4 , pp. 479-495
    • Oda, M.1    Konishi, J.2    Nemat-Nasser, S.3
  • 70
    • 0020242279 scopus 로고
    • Experimental evaluation of strength of granular materials, effects of particle rolling
    • M. Oda, J. Konishi, and S. Nemat-Nasser Experimental evaluation of strength of granular materials, effects of particle rolling Mechanics of Materials 1 1982 269 283
    • (1982) Mechanics of Materials , vol.1 , pp. 269-283
    • Oda, M.1    Konishi, J.2    Nemat-Nasser, S.3
  • 71
    • 0006839971 scopus 로고    scopus 로고
    • Importance of particle rotation in the mechanics of granular materials
    • R.P. Behringer J.T. Jenkins Balkema
    • M. Oda, K. Iwashita, and T. Kakiuchi Importance of particle rotation in the mechanics of granular materials R.P. Behringer J.T. Jenkins Powders and Grains 1997 Balkema 207 210
    • (1997) Powders and Grains , pp. 207-210
    • Oda, M.1    Iwashita, K.2    Kakiuchi, T.3
  • 73
    • 11744290710 scopus 로고    scopus 로고
    • Bimodal character of stress transmission in granular packing
    • F. Radjai, D. Wolf, M. Jean, and J.J. Moreau Bimodal character of stress transmission in granular packing Physical Review Letters 80 1 1998 61 64
    • (1998) Physical Review Letters , vol.80 , Issue.1 , pp. 61-64
    • Radjai, F.1    Wolf, D.2    Jean, M.3    Moreau, J.J.4
  • 74
    • 0033196586 scopus 로고    scopus 로고
    • Contact forces in a granular packing
    • F. Radjai, S. Roux, and J.J. Moreau Contact forces in a granular packing Chaos 9 3 1999 544 550
    • (1999) Chaos , vol.9 , Issue.3 , pp. 544-550
    • Radjai, F.1    Roux, S.2    Moreau, J.J.3
  • 75
    • 0014848279 scopus 로고
    • On the structure of stress-strain relations for time-dependent plastic deformation in metals
    • J.R. Rice On the structure of stress-strain relations for time-dependent plastic deformation in metals Journal of Applied Mechanics 37 1970 728 737
    • (1970) Journal of Applied Mechanics , vol.37 , pp. 728-737
    • Rice, J.R.1
  • 76
    • 0002006357 scopus 로고
    • Continuum mechanics and thermodynamics of plasticity in relation to microscale deformation mechanisms
    • A.S. Argon MIT Press Cambridge
    • J.R. Rice Continuum mechanics and thermodynamics of plasticity in relation to microscale deformation mechanisms A.S. Argon Constitutive Equations in Plasticity 1975 MIT Press Cambridge 23 79
    • (1975) Constitutive Equations in Plasticity , pp. 23-79
    • Rice, J.R.1
  • 78
    • 85024152173 scopus 로고
    • The influence of strains in soil mechanics
    • K.H. Roscoe The influence of strains in soil mechanics Géotechnique 20 1970 129 170
    • (1970) Géotechnique , vol.20 , pp. 129-170
    • Roscoe, K.H.1
  • 79
    • 0012524381 scopus 로고
    • Constitution of mechanics of granular materials through graph representation
    • University of Tokyo Press
    • M. Satake Constitution of mechanics of granular materials through graph representation Theoretical and Applied Mechanics vol. 26 1978 University of Tokyo Press 257 266
    • (1978) Theoretical and Applied Mechanics , vol.26 , pp. 257-266
    • Satake, M.1
  • 82
    • 0001211769 scopus 로고
    • A theory of the kinematics of ideal soils under plane strain conditions
    • A.J.M. Spencer A theory of the kinematics of ideal soils under plane strain conditions Journal of the Mechanics and Physics of Solids 12 1964 337 351
    • (1964) Journal of the Mechanics and Physics of Solids , vol.12 , pp. 337-351
    • Spencer, A.J.M.1
  • 83
    • 0001487747 scopus 로고
    • The mechanism of plastic deformation of crystals-I: Theoretical
    • G.I. Taylor The mechanism of plastic deformation of crystals-I: theoretical Proceedings of the Royal Society of London, A 145 1934 362 387
    • (1934) Proceedings of the Royal Society of London, a , vol.145 , pp. 362-387
    • Taylor, G.I.1
  • 85
    • 18844377981 scopus 로고
    • Berechnungsverfahren für erdkörper mit plastischer ver- und entfestigung, entstehung und ausbreitung von scherfungen
    • Vardoulakis, I., 1974. Berechnungsverfahren für erdkörper mit plastischer ver- und entfestigung, entstehung und ausbreitung von scherfungen. DFG, report GU 103/16
    • (1974) DFG, Report GU , vol.103 , Issue.16
    • Vardoulakis, I.1
  • 87
    • 0002914189 scopus 로고
    • Recherches concernant les contraintes intergranulaires dans les milieux pulvérulents
    • J. Weber Recherches concernant les contraintes intergranulaires dans les milieux pulvérulents Bulletin de Liaison des Ponts-et-Chaussees 20 1966 1 20
    • (1966) Bulletin de Liaison des Ponts-et-Chaussees , Issue.20 , pp. 1-20
    • Weber, J.1
  • 88
    • 0003888250 scopus 로고
    • Influence of void ratio and stress condition on the dynamic shear modulus of granular media
    • Shahinpoor Gulf Publishing Houston
    • E. Yanagisawa Influence of void ratio and stress condition on the dynamic shear modulus of granular media Shahinpoor Advances in the Mechanics and the Flow of Granular Materials 1983 Gulf Publishing Houston 947 960
    • (1983) Advances in the Mechanics and the Flow of Granular Materials , pp. 947-960
    • Yanagisawa, E.1
  • 89
    • 0021561554 scopus 로고
    • Generalized plasticity formulation and applications to geomechanics
    • C.S. Desai R.H. Gallagher Wiley
    • O.C. Zienkiewicz, and Z. Mroz Generalized plasticity formulation and applications to geomechanics C.S. Desai R.H. Gallagher Mechanics of Engineering Materials 1984 Wiley 655 679
    • (1984) Mechanics of Engineering Materials , pp. 655-679
    • Zienkiewicz, O.C.1    Mroz, Z.2


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