Quasi-static fall of planar granular columns: comparison of 2D and 3D discrete element modelling with laboratory experiments

References

• Balmforth , N. J. and Kerswell , R. R. 2005 . Granular collapse in two dimensions . Journal of Fluid Mechanics , 538 : 399 – 428 .
   Google Scholar
• Barker , G. C. 1994 . “ Computer simulations of granular materials ” . In Granular matter: an interdisciplinary approach , Edited by: Mehta , A. New York : Springer-Verlag .
   Google Scholar
• Campbell , C. S. 1990 . Rapid granular flows . Annual Review of Fluid Mechanics , 22 : 57 – 92 .
   Web of Science ®Google Scholar
• Campbell , C. S. and Brennen , C. E. 1985 . Computer simulation of granular shear flows . Journal of Fluid Mechanics , 151 : 167 – 188 .
   Web of Science ®Google Scholar
• Cleary , P. W. 1998a . Discrete element modelling of industrial granular flow applications . TASK. Quarterly - Scientific Bulletin , 2 : 385 – 416 .
   Google Scholar
• Cleary , P. W. 1998b . Predicting charge motion, power draw, segregation, wear and particle breakage in ball mills using discrete element methods . Minerals Engineering , 11 : 1061 – 1080 .
   Web of Science ®Google Scholar
• Cleary , P. W. 2004 . Large scale industrial DEM modelling . Engineering Computations , 21 : 169 – 204 .
   Web of Science ®Google Scholar
• Cleary , P. W. 2007 . DEM modelling of particulate flow in a screw feeder . Progress in Computational Fluid Dynamics , 7 : 128 – 138 .
   Google Scholar
• Cleary , P. W. and Sawley , M. L. 2002 . DEM modelling of industrial granular flows: 3D case studies and the effect of particle shape on hopper discharge . Applied Mathematical Modelling , 26 : 89 – 111 .
   Web of Science ®Google Scholar
• Cleary , P. W. , Metcalfe , G. and Liffman , K. 1998 . How well do discrete element granular flow models capture the essentials of mixing and segregation processes? . Applied Mathematical Modelling , 22 : 995 – 1008 .
   Web of Science ®Google Scholar
• Cleary , P. W. , Morrison , R. and Morrell , S. 2003 . Comparison of DEM and experiment for a scale model SAG mill . International Journal of Mineral Processing , 68 : 129 – 165 .
   Web of Science ®Google Scholar
• Coulomb , C. A. 1776 . Essai sur une application des règles de maximis & minimis a` quelques problèmes de statique relatifs a` l'architecture . Mémoire de Mathématique & de Physique , 7 : 1773 343 – 382 .
   Google Scholar
• Debroux , F. and Cleary , P. W. 2001 . Characterising the angles of failure and repose of avalanching granular material using the discrete element method, paper 1537 . In: Proc. 6th World Congress of Chemical Engineering. ,
   Google Scholar
• Drucker , D. C. and Prager , W. 1952 . Soil mechanics and plastic analysis or limit design . Quarterly of Applied Mathematics , 10 : 157 – 165 .
   Web of Science ®Google Scholar
• Drucker , D. C. , Gibson , R. E. and Henkel , D. J. 1957 . Soil mechanics and work-hardening theories of plasticity . Transactions ASCE , 122 : 338 – 346 .
   Google Scholar
• Hopkins , M. A. and Louge , M. Y. 1990 . Inelastic microstructure in rapid granular flows of smooth disks . Physics of Fluids A , 3 ( 1 ) : 47 – 57 .
   Google Scholar
• Jean , M. 1994 . Mechanics of geomaterials interfaces , Edited by: Selvadurai , A. P.S. and Boulon , M. J. 463 – 486 . Elsevier .
   Google Scholar
• Jenike , A. W. and Shield , R. T. 1959 . On the plastic flow of Coulomb solids beyond original failure . Journal of Applied Mechanics , 26 : 599 – 602 .
   Google Scholar
• Jenkins , J. T. and Askari , E. 1991 . Boundary conditions for rapid granular flows - phase interfaces . Journal of Fluid Mechanics , 223 : 497 – 508 .
   Google Scholar
• Kerswell , R. R. 2005 . Dam break with Coulomb friction: a model for granular slumping? . Physics of Fluids , 17 : 1 – 16 .
   Google Scholar
• Lajeunesse , E. , Mangeney-Castelnau , A. and Vilotte , J. P. 2004 . Spreading of a granular mass on a horizontal plane . Physics of Fluids , 16 : 2371 – 2381 .
   Web of Science ®Google Scholar
• Lajeunesse , E. , Monnier , J. B. and Homsy , G. M. 2005 . Granular slumping on a horizontal surface . Physics of Fluids , 17 : 1 – 15 .
   Web of Science ®Google Scholar
• Lube , G. , Huppert , H. E. , Sparks , R. S. J. and Freundt , A. 2005 . Collapses of two-dimensional granular columns . Phys. Rev. E , 72 ( 4 ) : 1 – 10 . Art. No
   Google Scholar
• Lube , G. 2004 . Axisymmetric collapse of granular columns . Journal of Fluid Mechanics , 508 : 175 – 199 .
   Google Scholar
• Mériaux , C. 2006 . Two dimensional fall of granular columns controlled by slow horizontal withdrawal of a retaining wall . Physics of Fluids , 18 : 1 – 10 .
   Google Scholar
• Midi , G. D.R. 2004 . On dense granular flows . European Physical Journal E. , 14 : 341 – 367 .
   PubMed Web of Science ®Google Scholar
• Moreau , J. J. 1994 . Some numerical methods in multibody dynamics: application to granular materials . European Journal of Mechanics A , 4 : 93 – 114 .
   Google Scholar
• Nedderman , R. M. 1992 . Statics and kinematics of granular materials , Vol. 78 , Cambridge : Cambridge University Press .
   Google Scholar
• Savage , S. B. and Hutter , K. 1989 . The motion of a finite mass of granular material down a rough incline . Journal of Fluid Mechanics , 199 : 177 – 215 .
   Web of Science ®Google Scholar
• Schäfer , J. , Dippel , S. and Wolf , D. E. 1996 . Force schemes in simulation of granular material . Journal de Physique I France , 6 : 5
   Google Scholar
• Siavoshi , S. and Kudrolli , A. 2005 . Failure of a granular step . Physical Review E , 71 : 1 – 6 .
   Google Scholar
• Staron , L. and Hinch , E. J. 2005 . Study of the collapse of granular columns using two-dimensional discrete-grain simulation . Journal of Fluid Mechanics , 545 : 1 – 27 .
   Google Scholar
• Walton , O. R. 1994 . “ Numerical simulation of inelastic frictional particle-particle interaction ” . In Particulate two-phase flow , Edited by: Roco , M. C. 884 – 911 . Butterworth .
   Google Scholar
• Williams , J. R. and Pentland , A. 1992 . Super-quadrics and modal dynamics for discrete elements in interactive design . Engineering Computations: International Journal For Computer-aided Engineering & Software , 9 : 115 – 127 .
   Google Scholar