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Volumn 15, Issue 1, 2010, Pages 3-41

The effect of local kinematics on the local and global deformations of granular systems

Author keywords

Granular media; Micropolar; Nonaffine deformation; Strain

Indexed keywords

BIAXIAL COMPRESSION; CURVATURE MEASURES; DEFORMATION HISTORY; DISCRETE ELEMENT SIMULATION; EQUIVALENT CONTINUUM; FORCE CHAINS; GLOBAL DEFORMATIONS; GRANULAR ASSEMBLY; GRANULAR MEDIA; GRANULAR SYSTEM; MACROSCOPIC STRAINS; MICRO-STRUCTURAL; MICROPOLAR; MICROPOLAR CONTINUUM; NON-AFFINE DEFORMATION; PARTICLE MOTIONS; PARTICLE ROTATIONS; RELATIVE MOTION; SHEAR BANDING; STRAIN FIELDS;

EID: 77649206967     PISSN: 10812865     EISSN: 17413028     Source Type: Journal    
DOI: 10.1177/1081286508089844     Document Type: Article
Times cited : (16)

References (64)
  • 2
    • 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, 47 (1979).
    • (1979) Geotechnique , vol.29 , pp. 47
    • Cundall, P.A.1    Strack, O.D.L.2
  • 3
    • 21344432493 scopus 로고    scopus 로고
    • Contact force measurements and stress-induced anisotropy in granular materials
    • Majmudar, T.S. and Behringer, R.P. Contact force measurements and stress-induced anisotropy in granular materials. Nature, 435, 1079 (2005).
    • (2005) Nature , vol.435 , pp. 1079
    • Majmudar, T.S.1    Behringer, R.P.2
  • 4
    • 0344035513 scopus 로고    scopus 로고
    • Heterogeneous strain and bonded granular structure change in triaxial specimen studied by computer tomography
    • Chang, C., Matsushima, T. and Lee, X. Heterogeneous strain and bonded granular structure change in triaxial specimen studied by computer tomography. Journal of Engineering Mechanics-American Society of Civil Engineers, 129, 1295-1307 (2003).
    • (2003) Journal of Engineering Mechanics-American Society of Civil Engineers , vol.129 , pp. 1295-1307
    • Chang, C.1    Matsushima, T.2    Lee, X.3
  • 5
    • 0030238376 scopus 로고    scopus 로고
    • Void ratio evolution inside shear bands in triaxial sand specimens studied by computer tomography
    • Desrues, J., Chambon, R. et al. Void ratio evolution inside shear bands in triaxial sand specimens studied by computer tomography. Geotechnique, 46, 529-546 (1996).
    • (1996) Geotechnique , vol.46 , pp. 529-546
    • Desrues, J.1    Chambon, R.2
  • 6
    • 0034599960 scopus 로고    scopus 로고
    • Quasi-static shear deformation of a soft particle system
    • Thornton, C. and Antony, S.J. Quasi-static shear deformation of a soft particle system. Powder Technology, 109, (2000).
    • (2000) Powder Technology , vol.109
    • Thornton, C.1    Antony, S.J.2
  • 7
    • 0025432327 scopus 로고
    • Observations on stress-force-fabric relationships in idealized granular materials
    • Bathurst, R.J. and Rothenburg, L. Observations on stress-force-fabric relationships in idealized granular materials. Mechanics of Materials, 9, 65 (1990).
    • (1990) Mechanics of Materials , vol.9 , pp. 65
    • Bathurst, R.J.1    Rothenburg, L.2
  • 8
    • 0343878762 scopus 로고    scopus 로고
    • Study on couple stress and shear band development in granular media based on numerical simulation analyses
    • Oda, M. and Iwashita, K. Study on couple stress and shear band development in granular media based on numerical simulation analyses. International Journal of Engineering Science, 38, 1713 (2000).
    • (2000) International Journal of Engineering Science , vol.38 , pp. 1713
    • Oda, M.1    Iwashita, K.2
  • 9
    • 0037299760 scopus 로고    scopus 로고
    • Heterogeneity and patterning in the quasi-static behaviour of granular materials
    • Kuhn, M.R. Heterogeneity and patterning in the quasi-static behaviour of granular materials. Granular Matter, 4, 155-166 (2003).
    • (2003) Granular Matter , vol.4 , pp. 155-166
    • Kuhn, M.R.1
  • 10
    • 0035239608 scopus 로고    scopus 로고
    • A discontinuous future for numerical modelling in geomechanics?
    • Cundall, P. A discontinuous future for numerical modelling in geomechanics? Geotechnical Engineering, 149, 41-47 (2001).
    • (2001) Geotechnical Engineering , vol.149 , pp. 41-47
    • Cundall, P.1
  • 11
    • 0036904154 scopus 로고    scopus 로고
    • A discontinuous future for numerical modelling in soil and rock, in Discrete Element Methods: Numerical Modelling of Discontinua
    • Cundall, P. A discontinuous future for numerical modelling in soil and rock, in Discrete Element Methods: Numerical Modelling of Discontinua, Proceedings of the 3rd International Conference, pp. 3-4, ed. B. Cook, and R. Jenson, 2002.
    • Proceedings of the 3rd International Conference
    • Cundall, P.1
  • 13
    • 34548236389 scopus 로고    scopus 로고
    • Development of micromechanical models for granular media: The projection problem
    • Walsh, S.D.C., Tordesillas, A. and Peters, J.F. Development of micromechanical models for granular media: The projection problem. Granular Matter, 9, 337-352 (2007).
    • (2007) Granular Matter , vol.9 , pp. 337-352
    • Walsh, S.D.C.1    Tordesillas, A.2    Peters, J.F.3
  • 14
    • 33744977889 scopus 로고    scopus 로고
    • A numerical examination of shear banding and simple shear non-coaxial flow rules
    • Thornton, C. and Zhang, L. A numerical examination of shear banding and simple shear non-coaxial flow rules. Philosophical Magazine, 86, 3425-3452 (2006).
    • (2006) Philosophical Magazine , vol.86 , pp. 3425-3452
    • Thornton, C.1    Zhang, L.2
  • 15
    • 0037308260 scopus 로고    scopus 로고
    • Statics and kinematics of discrete Cosserat-type granular materials
    • Kruyt, N. Statics and kinematics of discrete Cosserat-type granular materials. International Journal of Solids and Structures, 40, 511-513 (2003).
    • (2003) International Journal of Solids and Structures , vol.40 , pp. 511-513
    • Kruyt, N.1
  • 16
    • 0030110482 scopus 로고    scopus 로고
    • Stress and strain in granular assemblies
    • Bagi, K. Stress and strain in granular assemblies. Mechanics of Materials, 22, 165-177 (1996).
    • (1996) Mechanics of Materials , vol.22 , pp. 165-177
    • Bagi, K.1
  • 17
    • 0015416976 scopus 로고
    • Photoelastic verification of a mechanical model for the flow of a granular materials
    • Drescher, A. and de Josselin de Jong, G. Photoelastic verification of a mechanical model for the flow of a granular materials. Journal of Mechanics and Physics of Solids, 20, 337-351 (1972).
    • (1972) Journal of Mechanics and Physics of Solids , vol.20 , pp. 337-351
    • Drescher, A.1    De Josselin De Jong, G.2
  • 19
    • 0002914189 scopus 로고
    • Recherche concernant le contraintes intergranulaires dans les milieux pulverulents
    • Weber, J. Recherche concernant le contraintes intergranulaires dans les milieux pulverulents. Bulletin de Liaison des Ponts et Chaussees, 20, 1-20 (1966).
    • (1966) Bulletin de Liaison des Ponts et Chaussees , vol.20 , pp. 1-20
    • Weber, J.1
  • 20
  • 23
    • 0001244104 scopus 로고
    • Theory of micropolar elasticity
    • H. Liebowitz, Academic, New York
    • Eringen, A. Theory of micropolar elasticity, in Fracture-An Advanced Treatise, pp. 621-693, ed. H. Liebowitz, Academic, New York, 1968.
    • (1968) Fracture-An Advanced Treatise , pp. 621-693
    • Eringen, A.1
  • 24
    • 0031278490 scopus 로고    scopus 로고
    • Stress-strain relationship for granular materials based on the hypothesis of best fit
    • Liao, C.-L., Chang, T.-P. and Young, D.-H. Stress-strain relationship for granular materials based on the hypothesis of best fit. International Journal of Solids and Structures, 34, 4087-4100 (1997).
    • (1997) International Journal of Solids and Structures , vol.34 , pp. 4087-4100
    • Liao, C.-L.1    Chang, T.-P.2    Young, D.-H.3
  • 25
    • 0037041241 scopus 로고    scopus 로고
    • Incorporating rolling resistance and contact anisotropy in micromechanical models of granular media
    • Tordesillas, A. and Walsh, S.D.C. Incorporating rolling resistance and contact anisotropy in micromechanical models of granular media. Powder Technology, 124, 106-111 (2002).
    • (2002) Powder Technology , vol.124 , pp. 106-111
    • Tordesillas, A.1    Walsh, S.D.C.2
  • 26
    • 0023404291 scopus 로고
    • The thickness of shear bands in granular material
    • Muhlhaus, H.-B. and Vardoulakis, I. The thickness of shear bands in granular material. Geotechnique, 37, 271 (1987).
    • (1987) Geotechnique , vol.37 , pp. 271
    • Muhlhaus, H.-B.1    Vardoulakis, I.2
  • 27
    • 0026226380 scopus 로고
    • Localisation in a Cosserat continuum under static and dynamic loading conditions
    • deBorst, R. and Sluys, L. Localisation in a Cosserat continuum under static and dynamic loading conditions. Computer Methods in Applied Mechanics and Engineering, 90, 805-827 (1991).
    • (1991) Computer Methods in Applied Mechanics and Engineering , vol.90 , pp. 805-827
    • Deborst, R.1    Sluys, L.2
  • 28
    • 0042705941 scopus 로고    scopus 로고
    • Different microstructural strain tensors for granular assemblies
    • Bagi, K. and Bojtár, I. Different microstructural strain tensors for granular assemblies, in Proceedings of ICADD-4, pp. 261-270, 2001.
    • Proceedings of ICADD-4
    • Bagi, K.1    Bojtár, I.2
  • 29
    • 33645139964 scopus 로고    scopus 로고
    • Analysis of microstructural strain tensors for granular assemblies
    • Bagi, K. Analysis of microstructural strain tensors for granular assemblies. International Journal of Solids and Structures, 43, 3166-3184 (2006).
    • (2006) International Journal of Solids and Structures , vol.43 , pp. 3166-3184
    • Bagi, K.1
  • 30
    • 0032667590 scopus 로고    scopus 로고
    • Structured deformation in granular materials
    • Kuhn, M.R. Structured deformation in granular materials. Mechanics of Materials, 31, 407-429 (1999).
    • (1999) Mechanics of Materials , vol.31 , pp. 407-429
    • Kuhn, M.R.1
  • 34
    • 77649211407 scopus 로고    scopus 로고
    • Micro-mechanical definition of strain tensor for granular assemblies
    • Satake, M. Micro-mechanical definition of strain tensor for granular assemblies, in 15th ASCE Engineering Mechanics Conference, ed. A. Smyth, 2002.
    • 15th ASCE Engineering Mechanics Conference
    • Satake, M.1
  • 35
    • 5444250393 scopus 로고    scopus 로고
    • Tensorial form definitions of discrete-mechanical quantities for granular assemblies
    • Satake, M. Tensorial form definitions of discrete-mechanical quantities for granular assemblies. International Journal of Solids and Structures, 41, 5775-5791 (2004).
    • (2004) International Journal of Solids and Structures , vol.41 , pp. 5775-5791
    • Satake, M.1
  • 36
    • 0025664180 scopus 로고
    • Constitutive relation for a particulate medium with the effect of particle rotation
    • Chang, C. and Liao, C. Constitutive relation for a particulate medium with the effect of particle rotation. International Journal of Solids and Structures, 26, 437-453 (1990).
    • (1990) International Journal of Solids and Structures , vol.26 , pp. 437-453
    • Chang, C.1    Liao, C.2
  • 37
    • 3142669103 scopus 로고    scopus 로고
    • Insights into 1D localisation theory and micromechanical constitutive laws
    • Tordesillas, A., Peters, J.F. and Gardiner, B.S. Insights into 1D localisation theory and micromechanical constitutive laws. Geotechnique, 54, 327 (2004).
    • (2004) Geotechnique , vol.54 , pp. 327
    • Tordesillas, A.1    Peters, J.F.2    Gardiner, B.S.3
  • 38
  • 41
    • 35148892095 scopus 로고    scopus 로고
    • Force chain buckling, unjamming transitions and shear banding in dense granular assemblies
    • Tordesillas, A. Force chain buckling, unjamming transitions and shear banding in dense granular assemblies. Philosophical Magazine, 87, 4987-5016 (2007).
    • (2007) Philosophical Magazine , vol.87 , pp. 4987-5016
    • Tordesillas, A.1
  • 42
    • 22844450111 scopus 로고    scopus 로고
    • Some fundamental aspects of the continuumisation problem in granular media
    • Peters, J.F. Some fundamental aspects of the continuumisation problem in granular media. Journal of Engineering Mathematics, 52, 231-250 (2005).
    • (2005) Journal of Engineering Mathematics , vol.52 , pp. 231-250
    • Peters, J.F.1
  • 43
    • 33745750455 scopus 로고    scopus 로고
    • Element methods for micropolar models of granular materials
    • Walsh, S.D.C. and Tordesillas, A. Element methods for micropolar models of granular materials. Applied Mathematical Modelling, 30, 1043-1055 (2006).
    • (2006) Applied Mathematical Modelling , vol.30 , pp. 1043-1055
    • Walsh, S.D.C.1    Tordesillas, A.2
  • 47
    • 11744290710 scopus 로고    scopus 로고
    • Bimodal character of stress transmission in granular packings
    • Radjai, F., Wolf, D.E. et al. Bimodal character of stress transmission in granular packings. Physical Review Letters, 80, 61 (1998).
    • (1998) Physical Review Letters , vol.80 , pp. 61
    • Radjai, F.1    Wolf, D.E.2
  • 49
    • 0001662167 scopus 로고    scopus 로고
    • Molecular-dynamics study of ductile and brittle fracture in model noncrystalline solids
    • Falk, M.L. Molecular-dynamics study of ductile and brittle fracture in model noncrystalline solids. Physical Review B, 60, 7062-7070 (1999).
    • (1999) Physical Review B , vol.60 , pp. 7062-7070
    • Falk, M.L.1
  • 52
    • 27244449322 scopus 로고    scopus 로고
    • Rheophysics of dense granular materials: Discrete simulation of plane shear flows
    • Cruz, F., Emam, S. et al. Rheophysics of dense granular materials: Discrete simulation of plane shear flows. Physical Review E, 72, 021309 (2005).
    • (2005) Physical Review e , vol.72 , pp. 021309
    • Cruz, F.1    Emam, S.2
  • 53
    • 26944453935 scopus 로고    scopus 로고
    • Role of anisotropy in the elastoplastic response of a polygonal packing
    • Alonso-Marroquin, F., Luding, S. et al. Role of anisotropy in the elastoplastic response of a polygonal packing. Physical Review E, 71, 051304 (2006).
    • (2006) Physical Review e , vol.71 , pp. 051304
    • Alonso-Marroquin, F.1    Luding, S.2
  • 54
    • 27844596746 scopus 로고    scopus 로고
    • Grain-scale processes governing shear band initiation and evolution in sands
    • Rechenmacher, A.L. Grain-scale processes governing shear band initiation and evolution in sands. Journal of Mechanics and Physics of Solids, 54, 22-45 (2006).
    • (2006) Journal of Mechanics and Physics of Solids , vol.54 , pp. 22-45
    • Rechenmacher, A.L.1
  • 55
    • 1942499464 scopus 로고    scopus 로고
    • Strain localization in sand: An overview of the experimental results obtained in Grenoble using stereophotogrammetry
    • Desrues, J. and Viggiani, G. Strain localization in sand: an overview of the experimental results obtained in Grenoble using stereophotogrammetry. International Journal of Numerical and Analytical Methods in Geomechanics, 28, 279-321 (2004).
    • (2004) International Journal of Numerical and Analytical Methods in Geomechanics , vol.28 , pp. 279-321
    • Desrues, J.1    Viggiani, G.2
  • 56
    • 0032144593 scopus 로고    scopus 로고
    • Microstructure of shear bands and its relation to the mechanisms of dilatancy and failure of dense granular soils
    • Oda, M. and Kazama, H. Microstructure of shear bands and its relation to the mechanisms of dilatancy and failure of dense granular soils. Geotechnique, 48, 465 (1998).
    • (1998) Geotechnique , vol.48 , pp. 465
    • Oda, M.1    Kazama, H.2
  • 57
    • 18144379560 scopus 로고    scopus 로고
    • Subdiffusion and cage effect in a sheared granular material
    • Marty, G. and Dauchot, O. Subdiffusion and cage effect in a sheared granular material. Physical Review Letters, 94, 015701 (2005).
    • (2005) Physical Review Letters , vol.94 , pp. 015701
    • Marty, G.1    Dauchot, O.2
  • 58
    • 0035442670 scopus 로고    scopus 로고
    • Stick-slip fluctuations in granular drag
    • Albert, I., Tegzes, P. et al. Stick-slip fluctuations in granular drag. Physical Review E, 64, 031307 (2001).
    • (2001) Physical Review e , vol.64 , pp. 031307
    • Albert, I.1    Tegzes, P.2
  • 59
    • 37649030442 scopus 로고    scopus 로고
    • Stick-slip dynamics of a granular layer under shear
    • Volfson, D., Tsimring, L.S. and Aranson, I.S. Stick-slip dynamics of a granular layer under shear. Physical Review E, 69, 031302 (2004).
    • (2004) Physical Review e , vol.69 , pp. 031302
    • Volfson, D.1    Tsimring, L.S.2    Aranson, I.S.3
  • 60
    • 0000805959 scopus 로고    scopus 로고
    • Time-resolved studies of stick-slip friction in sheared granular layers
    • Nasuno, S., Kudrolli, A. et al. Time-resolved studies of stick-slip friction in sheared granular layers. Physical Review E, 58, 2161-2171 (1998).
    • (1998) Physical Review e , vol.58 , pp. 2161-2171
    • Nasuno, S.1    Kudrolli, A.2
  • 61
    • 0035363315 scopus 로고    scopus 로고
    • Self-organized criticality in a sheared granular stick-slip system
    • Dalton, F. and Corcoran, D. Self-organized criticality in a sheared granular stick-slip system. Physical Review E, 63, 061312 (2001).
    • (2001) Physical Review e , vol.63 , pp. 061312
    • Dalton, F.1    Corcoran, D.2
  • 62
    • 0034599929 scopus 로고    scopus 로고
    • Micro-deformation mechanism of shear banding process based on modified distinct element method
    • Iwashita, K. and Oda, M. Micro-deformation mechanism of shear banding process based on modified distinct element method. Powder Technology, 109, (2000).
    • (2000) Powder Technology , vol.109
    • Iwashita, K.1    Oda, M.2
  • 63
    • 0026312632 scopus 로고
    • The structure of persistent shear bands in idealized granular media
    • G. Beer, J. R. Booker and J. P. Carter
    • Bardet, J.P. and Proubet, J. The structure of persistent shear bands in idealized granular media, in Computer Methods and Advances in Geomechanics, pp. 299-304, ed. G. Beer, J. R. Booker and J. P. Carter, 1991.
    • (1991) Computer Methods and Advances in Geomechanics , pp. 299-304
    • Bardet, J.P.1    Proubet, J.2
  • 64
    • 18844428812 scopus 로고    scopus 로고
    • Microstructure in shear band observed by microfocus X-ray computed tomography
    • Oda, M., Takemura, T. and Takahashi, M. Microstructure in shear band observed by microfocus X-ray computed tomography. Geotechnique, 55, 333-335 (2005).
    • (2005) Geotechnique , vol.55 , pp. 333-335
    • Oda, M.1    Takemura, T.2    Takahashi, M.3


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