Effects of particle size distribution in a three-dimensional micropolar continuum model of granular media

Powder Technology

Volumn 161, Issue 2, 2006, Pages 110-121

  Gardiner, B S ^a   Tordesillas, A ^a  

^a UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

Granular materials; Micropolar; Particle size distribution; Three dimensional

Indexed keywords

CONTINUUM MECHANICS; DEFORMATION; PARTICLE SIZE ANALYSIS; ROLLING RESISTANCE; STIFFNESS; STRESSES; THREE DIMENSIONAL;

COUPLE STRESS; MICROPOLAR; MONODISPERSE ASSEMBLY; THREE-DIMENSIONAL;

GRANULAR MATERIALS;

POWDER;

ANISOTROPY; ARTICLE; HOMOGENATE; MATHEMATICAL ANALYSIS; PARTICLE SIZE; PARTICULATE MATTER; POLARIZATION; SIMULATION; STATISTICAL MODEL;

EID: 30144438596     PISSN: 00325910     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.powtec.2005.04.057     Document Type: Article

References (41)

1. A. Tordesillas, and S.D.C. Walsh Incorporating rolling resistance and contact anisotropy in micromechanical models of granular media Powder Technology 124 2002 106 111
2. H. Abou-Chakra, and U. Tüzün Microstructural blending of coal to enhance flowability Powder Technology 111 2000 200 209
3. E. Vigneau, C. Loisel, M.F. Devaux, and P. Cantoni Number of particles for the determination of size distribution from microscopic images Powder Technology 107 2000 243 250
4. S. Sundaresan Some outstanding questions in handling of cohesionless particles Powder Technology 115 2001 2 7
5. P. Bowen, J. Sheng, and N. Jongen Particle size distribution measurements of anisotropic - particles cylinders and platelets - practical examples Powder Technology 128 2002 256 261
6. H. Abou-Chakra, and U. Tüzün Coefficient of friction of binary granular mixtures in contact with a smooth wall: Part I. Direct shear box measurements of the effects of particle size ratio and particle surface roughness Chemical Engineering Science 54 1999 5901 5912
7. J.G. Berryman Random close packing of hard spheres and disks Physical Review A 27 1983 1053 1061
8. H.J. Hinrichsen, J. Feder, and T. Jøssang Random packing of disks in two dimensions Physical Review A 41 1990 4199 4209
9. H.J. Herrmann, R.M. Baram, and M. Wackenhut Searching for the perfect packing Physica A 330 2003 77 82
10. M. Madadi, O. Tsoungui, and M. Lätzel On the fabric tensor of polydisperse granular materials in 2D International Journal of Solids and Structures 41 2004 2563 2580
11. D.A. Weitz Packing in the spheres Science 303 2004 968 969
12. H.J. Herrmann Granular matter Physica. A, Statistical Mechanics and its Applications 313 2002 188 210
13. J.-C. Géminard, and W. Losert Frictional properties of bidisperse granular matter: effect of mixing ratio Physical Review E 65 2002 041301
14. G. Felix, U. D'Ortona, and V. Falk Avalanches of dry granular material in rotating drums Y. Kishino Powders and Grains 2001 Swets and Zeitlinger Lisse 475 478
15. D.A. Robinson, and S.P. Friedman Observations of the effects of particle shape and particle size distribution on avalanching of granular media Physica A 311 2002 97 110
16. Y.M. Bashir, and J.D. Goddard A novel simulation method for the quasi-static mechanics of granular assemblages Journal of Rheology 35 1991 849 885
17. J.D. Goddard, and A.K. Didwania Computations of dilatancy and yield surfaces for assemblies of rigid frictional spheres Quarterly Journal of Mechanics and Applied Mathematics 51 1998 15 43
18. S.G. Bardenhagen, J.U. Brackbill, and D.L. Sulsky A numerical study of stress distribution in sheared granular material in two dimensions Physical Review E 62 2000 3882 3890
19. L. Ogera, S.B. Savage, D. Corriveau, and M. Sayed Yield and deformation of an assembly of disks subjected to a deviatoric stress loading Mechanics of Materials 27 1998 189 210
20. J.K. Morgan Numerical simulation of granular shear zones using the distinct element method: 2. Effects of particle size distribution and interparticle friction on mechanical behavior Journal of Geophysical Research 104 1999 2721 2732
21. M. Oda, J. Konishi, and S. Nemat-Nasser Experimental micromechanical evaluation of the strength of granular materials: effects of particle rolling Mechanics of Materials 1 1982 269 283
22. J.P. Bardet, and Q. Huang Numerical modelling of micropolar effects in idealized granular materials Mechanics of Granular Materials and Powder Systems ASME vol. 37 1992
23. J.F. Peters, and D.A. Horner Errors of scale in discrete element computations B.K. Cook R.P. Jensen Discrete Element Methods: Numerical Modeling of Discontinua: Proceedings of the Third International Conference 2002 American Society of Civil Engineers 56 61
24. A. Tordesillas, and J. Shi Frictional indentation of dilatant granular materials Proceedings of the Royal Society of London. Series A, Mathematical, Physical and Engineering Sciences 455 1981 1999 261 283
25. A. Tordesillas, J.F. Peters, and B. Gardiner Shear band evolution and accumulated microstructural development in Cosserat Media International Journal for Numerical and Analytical Methods in Geomechanics 28 2004 981 1010
26. B.S. Gardiner, and A. Tordesillas Micromechanics of shear bands International Journal of Solids and Structures 41 2004 5885 5901
27. L. Rothenburg, and K.L. Bathurst Effects of particle shape on micromechanical behaviour of granular materials H.H. Shen M. Satake M. Mehrabadi C.S. Chang C.S. Campbell Advances in Micromechanics of Granular Materials 1992 Elsevier Amsterdam
28. C.S. Chang, and C.L. Liao Constitutive relation for a particulate medium with the effect of particle rotation International Journal of Solids and Structures 26 1990 437 453
29. 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
30. M. Oda, and H. Kazama Microstructure of shear bands and its relation to the mechanisms of dilatancy and failure of dense granular soils Geotechnique 48 1998 465 481
31. S.D.C. Walsh, and A. Tordesillas A thermomechanical approach to the development of micropolar constitutive models for granular media Acta Mechanica 167 3-4 2004 145 169
32. C.S. Chang, and L. Ma A micromechanically-based micropolar theory for deformation of granular solids International Journal of Solids and Structures 21 1991 67 86
33. M. Oda K. Iwashita Mechanics of Granular Materials: An Introduction 1999 A.A. Balkema Rotterdam
34. K. Iwashita, and M. Oda Micro-deformation mechanism of shear banding process based on modified distinct element method Powder Technology 109 2000 192 205
35. M.R. Kuhn, and K. Bagi Contact rolling and deformation in granular media International Journal of Solids and Structures 41 2004 5793 5820
36. A. Tordesillas, J.F. Peters, and M. Muthuswamy Role of particle rotations and rolling resistance in a semi-infinite particulate solid indented by a rigid flat punch The ANZIAM Journal 46 2005 C260 C275
37. L.E. Silbert, D. Ertas, G.S. Grest, T.C. Halsey, and D. Levine Geometry of frictionless and frictional sphere packings Physical Review E 65 2002 031304
38. H. Sakaguchi, E. Ozaki, and T. Igarashi Plugging of the flow of granular materials during the discharge from a silo International Journal of Modern Physics B 7 1993 1949 1963
39. S.J. Antony, and M. Ghadiri Size effects in a slowly sheared granular media Transactions of the ASME 68 2001 772 775
40. J.-P. Latham, A. Munjiza, and Y. Lu On the prediction of void porosity and packing of rock particulates Powder Technology 125 2002 10 27
41. S.R. Dahl, R. Clelland, and C.M. Hrenya Three-dimensional, rapid shear flow of particles with continuous size distributions Powder Technology 138 2003 7 12