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Original Articles

Buckling force chains in dense granular assemblies: physical and numerical experiments

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Pages 3-16 | Published online: 09 Jul 2009

References

  • Agnolin , I. , Jenkins , J. T. and La Ragione , L. 2006 . A continuum theory for a random array of identical elastic, frictional disks . Mech. Mater , 38 : 687 – 701 .
  • Aharonov , E. and Sparks , D. 2004 . Stick-slip motion in simulated granular layers . J. Geophys. Res , : 109
  • Albert , I. 2001 . Stick-slip fluctuations in granular drag . Phys. Rev. E , 64 ( 3 )
  • Antony , S. J. 2001 . Evolution of force distribution in three-dimensional granular media . Phys. Rev. E , 63 ( 1 )
  • Bardet , J. P. 1994 . Observations on the effects of particle rotations on the failure of idealised granular materials . Mech. Mater , 18 : 159 – 182 .
  • Chang , C. S. and Hicher , P.-Y. 2004 . An elasto-plastic model for granular materials with microstructural consideration . Int. J. Solids Struct , 42 : 4258 – 4277 .
  • Cundall , P. A. and Strack , O. D.L. 1979 . A discrete numerical model for granular assemblies . Geotechnique , 29 ( 1 ) : 47
  • da Cruz , F. 2005 . Rheophysics of dense granular materials: Discrete simulation of plane shear flows . Phys. Rev. E , 72 ( 2 ) : 021309
  • Dalton , F. and Corcoran , D. 2001 . Self-organized criticality in a sheared granular stick-slip system . Phys. Rev. E , 63 ( 6 ) : 061313
  • Dodds , J. , Lee , J. -S. and Santamarina , J. C. 2007 . Behavior of rigid-soft particle mixtures . J. Mater. Civ. Eng , 19 ( 6 ) : 179 – 184 .
  • Hu , N. and Molinari , J. F. 2004 . Shear bands in dense metallic granular materials . J. Mech Phys. Sol , 52 : 499
  • Iwashita , K. and Oda , M. 1998 . Rolling resistance at contacts in simulation of shear band development by dem . J. Eng. Mech. ASCE , 124 ( 3 ) : 283 – 292 .
  • Iwashita , K. and Oda , M. 2000 . Micro-deformation mechanism of shear banding process based on modified distinct element method . Powder Technol , 109 ( 1 )
  • Jiang , M. J. , Yu , H. -S. and Harris , D. 2005 . A novel discrete model for granular material incorporating rolling resistance . Comput. Geotech , 32 ( 5 ) : 340 – 357 .
  • Kazama , H. , Oda , M. and Konishi , J. 1998 . Effects of induced anisotropy on the development of shear bands in granular materials . Mech. Mater , 28 : 103 – 111 .
  • Konishi , J. , Oda , M. and Nemat-Nasser , S. 1982 . Experimental micromechanical evaluation of strength of granular materials: effects of particle rolling . Mech. Mater , 1 : 269 – 283 .
  • Kuhn , M. R. and Bagi , K. 2002 . “ Particle rotations in granular materials ” . In 15th ASCE Eng. Mech. Conf Edited by: Smyth , A. W . New York
  • Luding , S. 2004 . “ Molecular dynamics simulations of granular materials ” . In The physics of granular media , Edited by: Hinrichsen , H. and Wolf , D. 299 – 324 . Weinheim : Wiley-VCH .
  • Majmudar , T. S. and Behringer , R. P. 2005 . Contact force measurements and stress-induced anisotropy in granular materials . Nature , 435 : 1079 – 1082 .
  • Majmudar , T. S. 2006 . Experimental studies of two-dimensional granular systems using grain-scale contact force measurements , PhD thesis. Duke University .
  • Majmudar , T. S. 2007 . The jamming transition in granular systems . Phys. Rev. Lett , 98 : 058001
  • Matsushima , T. 2005 . “ Effect of irregular grain shape on quasi-static shear behavior of granular assembly ” . In Powders and Grains 05: Proc. of the Fifth International Conference on the Micromechanics of Granular Media Vol. 2 , 1319 – 1323 .
  • Misra , A. and Chang , C. S. 1993 . Effective elastic moduli of heterogeneous granular solids . Int. J. Solids Struct , 30 : 2547 – 2566 .
  • Misra , A. and Jiang , H. 1997 . Measured kinematic fields in the biaxial shear of granular materials . Comput. Geotech , 20 ( 3–4 ) : 267 – 285 .
  • Muskhelishvili , N. I. 1953 . Some basic problems of the mathematical theory of elasticity: fundamental equations, plane theory of elasticity, torsion, and bending , Groningen : Noordhoff .
  • Muthuswamy , M. and Tordesillas , A. 2006 . How do interparticle contact friction, packing density and degree of polydispersity affect force propagation in particulate assemblies? . J. Stat. Mech. Theory Exp , : P09003
  • Nasuno , S. 1998 . Time-resolved studies of stick-slip friction in sheared granular layers . Phys. Rev. E , 58 ( 2 ) : 2161 – 2171 .
  • Oda , M. and Iwashita , K. 2000 . Study on couple stress and shear band development in granular media based on numerical simulation analyses . Int. J. Eng. Sci , 38 ( 15 ) : 1713
  • Oda , M. and Kazama , H. 1998 . Microstructure of shear bands and its relation to the mechanisms of dilatancy and failure of dense granular soils . Geotechnique , 48 ( 4 ) : 465
  • Oda , M. , Takemura , T. and Takahashi , M. 2004 . Microstructure in shear band observed by microfocus x-ray computed tomography . Geotechnique , 54 ( 8 ) : 539
  • Peters , J. F. 2005 . Characterization of force chains in granular material . Phys. Rev. E , 72 ( 4 ) : 041307
  • Radjai , F. 1998 . Bimodal character of stress transmission in granular packings . Phys. Rev. Lett , 80 ( 1 ) : 61
  • Rechenmacher , A. L. 2006 . Grain-scale processes governing shear band initiation and evolution in sands . J. Mech. Phys. Solids , 54 ( 1 ) : 22 – 45 .
  • Santamarina , J. C. and Cho , G. C. 2004 . Proceedings, advances in geotechnical engineering , Thomas Telford .
  • Thornton , C. and Zhang , L. 2006 . A numerical examination of shear banding and simple shear non-coaxial flow rules . Philos. Mag , 86 ( 21–22 ) : 3425 – 3452 .
  • Tordesillas , A. and Muthuswamy , M. 2008 . A thermomicromechanical approach to multiscale continuum modeling of dense granular materials . Acta Geo , 3 ( 3 ) : 225 – 240 .
  • Tordesillas , A. and Muthuswamy , M. 2009 . On the modeling of the confined buckling of force chains . J. Mech. Phys. Solids , doi: 10.1016/j.jmps.2009.01.005
  • Tordesillas , A. and Walsh , S. D.C. 2005 . “ Analysis of deformation and localization in thermomicromechanical cosserat models of granular media ” . In Powders and Grains 05: Proc. of the Fifth International Conference on the Micromechanics of Granular Media Vol. 1 , 419 – 424 .
  • Tordesillas , A. 2007 . Force chain buckling, unjamming transitions and shear banding in dense granular assemblies . Philos. Mag , 87 ( 32 ) : 4987 – 5016 .
  • Tordesillas , A. , Walsh , S. D.C. and Muthuswamy , M. 2008a . The effect of local kinematics on the local and global deformations of granular systems . Math. Mech. Solids , doi: 10.1177/1081286508089844
  • Tordesillas , A. , Muthuswamy , M. and Walsh , S. D.C. 2008b . Mesoscale measures of nonaffine deformation in dense granular assemblies . J. Eng. Mech. ASCE , 134 ( 12 ) : 1095 – 1113 .
  • Veje , C. T. , Howell , D. W. and Behringer , R. P. 1999 . Kinematics of a twodimensional granular couette experiment at the transition to shearing . Phys. Rev. E , 59 ( 1 ) : 739
  • Volfson , D. , Tsimring , L. S. and Aranson , I. S. 2004 . Stick-slip dynamics of a granular layer under shear . Phys. Rev. E , 69 ( 3 ) : 031302
  • Zhang , J. Statistical properties of a 2d granular material subject to cyclic shear . Granular Matter , in review

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