A study on the validity of the multi-sphere Discrete Element Method

Powder Technology

Volumn 188, Issue 2, 2008, Pages 153-165

  Kruggel Emden, H ^a   Rickelt, S ^a   Wirtz, S ^a   Scherer, V ^a  

^a RUHR UNIVERSITY BOCHUM   (Germany)

Author keywords

Collisions models; Discrete Element Method; Multi sphere method

Indexed keywords

ALUMINA; COMPUTATIONAL GEOMETRY; EXPERIMENTS; GEOMORPHOLOGY; GRANULAR MATERIALS; INDUSTRIAL APPLICATIONS; OXIDES; POWDERS; SURVEYING; TRACKING RADAR;

ALUMINUM OXIDE PARTICLES; COLLISIONS MODELS; CONTACT DETECTIONS; DISCRETE ELEMENT METHOD; DISCRETE ELEMENT METHODS; EXPERIMENTAL STUDIES; FORCE CALCULATIONS; MEASUREMENT OF PARTICLES; MULTI-SPHERE METHOD; NUMERICAL IMPLEMENTATIONS; NUMERICAL RESULTS; ONE HANDS; PARTICLE SYSTEMS; POWDER TECHNOLOGIES; SHAPED PARTICLES; SPHERICAL BODIES; SPHERICAL PARTICLES; SUPERQUADRICS;

SPHERES;

ALUMINUM; ALUMINUM OXIDE;

ARTICLE; CONTACT ANGLE; FORCE; FRICTION; GEOMETRY; METHODOLOGY; PARTICLE SIZE; ROTATION; VALIDITY; VELOCITY;

EID: 56249132629     PISSN: 00325910     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.powtec.2008.04.037     Document Type: Article

References (59)

1. Gorham D.A., and Kharaz A.H. The measurement of particle rebound characteristics. Powder Technology 112 3 (2000) 193-202
2. Cundall P.A., and Strack O.D.L. A discrete numerical model for granular assemblies. Geotechnique 29 (1979) 47-65
3. Kruggel-Emden H., Simsek E., Wirtz S., and Scherer V. Modeling of granular flow and combined heat transfer in hoppers by the discrete element method (DEM). Journal of Pressure Vessel Technology 128 3 (2006) 439-444
4. Nakamura H., Tokuda T., Iwasaki T., and Watano S. Numerical analysis of particle mixing in a rotating fluidized bed. Chemical Engineering Science 62 11 (2007) 3043-3056
5. Kruggel-Emden H., Simsek E., Wirtz S., and Scherer V. A comparative numerical study of particle mixing on different grate designs through the discrete element method. Journal of Pressure Vessel Technology 129 4 (2007) 593-600
6. Zhong W.Q., Xiong Y.Q., Yuan Z.L., and Zhang M.Y. DEM simulation of gas-solid flow behaviors in spout-fluid bed. Chemical Engineering Science 61 5 (2006) 1571-1584
7. Moysey P.A., and Thompson M.R. Modelling the solids inflow and solids conveying of single-screw extruders using the discrete element method. Powder Technology 153 2 (2005) 95-107
8. Arratia P.E., Duong N.H., Muzzio F.J., Godbole P., and Reynolds S. A study of the mixing and segregation mechanisms in the Bohle Tote blender via DEM simulations. Powder Technology 164 1 (2006) 50-57
9. Hogue C. Shape representation and contact detection for discrete element simulations of arbitrary geometries. Engineering Computations 15 2-3 (1998) 374-390
10. Latham J.P., and Munjiza A. The modelling of particle systems with real shapes. Philosophical Transactions of The Royal Society of London, Series A: Mathematical Physical and Engineering Sciences 362 1822 (2004) 1953-1972
11. Ting J.M., Khwaja M., Meachum L.R., and Rowell J.D. An ellipse-based discrete element model for granular-materials. International Journal for Numerical and Analytical Methods in Geomechanics 17 9 (1993) 603-623
12. Dziugys A., and Peters B. A new approach to detect the contact of two-dimensional elliptical particles. International Journal for Numerical and Analytical Methods in Geomechanics 25 15 (2001) 1487-1500
13. Ting J.M., Meachum L., and Rowell J.D. Effect of particle-shape on the strength and deformation mechanisms of ellipse-shaped granular assemblages. Engineering Computations 12 2 (1995) 99-108
14. Rothenburg L., and Bathurst R.J. Micromechanical features of granular assemblies with planar elliptic particles. Geotechnique 42 1 (1992) 79-95
15. Zhu Y., Shukla A., and Sadd M.H. The effect of microstructural fabric on dynamic load transfer in two dimensional assemblies of elliptical particles. Journal of the Mechanics and Physics of Solids 44 8 (1996) 1283-1303
16. Lin X.S., and Ng T.T. Contact detection algorithms for 3-dimensional ellipsoids in discrete element modeling. International Journal for Numerical and Analytical Methods in Geomechanics 19 9 (1995) 653-659
17. Ouadfel H., and Rothenburg L. An algorithm for detecting inter-ellipsoid contacts. Computers And Geotechnics 24 4 (1999) 245-263
18. Johnson S., Williams J.R., and Cook B. Contact resolution algorithm for an ellipsoid approximation for discrete element modeling. Engineering Computations 21 2-4 (2004) 215-234
19. Lin X., and Ng T.T. A three-dimensional discrete element model using arrays of ellipsoids. Geotechnique 47 2 (1997) 319-329
20. Ng T.T. Shear strength of assemblies of ellipsoidal particles. Geotechnique 54 10 (2004) 659-669
21. Ng T.T. Behavior of ellipsoids of two sizes. Journal of Geotechnical and Geoenvironmental Engineering 130 10 (2004) 1077-1083
22. Ng T.T. Input parameters of discrete element methods. Journal of Engineering Mechanics-ASCE 132 7 (2006) 723-729
23. Mustoe G.G.W., and Miyata M. Material flow analyses of noncircular-shaped granular media using discrete element methods. Journal of Engineering Mechanics-ASCE 127 10 (2001) 1017-1026
24. Han K., Feng Y.T., and Owen D.R.J. Polygon-based contact resolution for superquadrics. International Journal For Numerical Methods in Engineering 66 3 (2006) 485-501
25. Cleary P.W., and Stokes N. Efficient collision detection for three dimensional super-ellipsoidal particles. Computational Techniques and Applications, CTAC97 Singapore (1997)
26. Cleary P.W., Morrisson R., and Morrell S. Comparison of DEM and experiment for a scale model SAG mill. International Journal of Mineral Processing 68 1-4 (2003) 129-165
27. Mirghasemi A.A., Rothenburg L., and Matyas E.L. Influence of particle shape on engineering properties of assemblies of two-dimensional polygon-shaped particles. Geotechnique 52 3 (2002) 209-217
28. Hosseininia E.S., and Mirghasemi A.A. Numerical simulation of breakage of two-dimensional polygon-shaped particles using discrete element method. Powder Technology 166 2 (2006) 100-112
29. Cundall P.A. Formulation of a 3-dimensional distinct element model .1. A scheme to detect and represent contacts in a system composed of many polyhedral blocks. International Journal of Rock Mechanics And Mining Sciences & Geomechanics Abstracts 25 3 (1988) 107-116
30. Ghaboussi J., and Barbosa R. 3-Dimensional discrete element method for antigranulocytes materials. International Journal for Numerical And Analytical Methods In Geomechanics 14 7 (1990) 451-472
31. Zhao D.W., Nezami E.G., Hashash Y.M.A., and Ghaboussi J. Three-dimensional discrete element simulation for granular materials. Engineering Computations 23 7-8 (2006) 749-770
32. Munjiza A. The Combined Finite-Discrete Element Method (2004), Wiley
33. Munjiza A., and Andrews K.R.F. NBS contact detection algorithm for bodies of similar size. International Journal For Numerical Methods In Engineering 43 (1998) 131-150
34. Munjiza A., Latham J.P., and John N.W.M. 3D dynamics of discrete element systems comprising irregular discrete elements, integration solution for finite rotations in 3D. International Journal For Numerical Methods In Engineering 56 (2003) 35-55
35. Munjiza A., and Andrews K.R.F. Penalty function method for in combined finite-discrete element systems comprising large number of separate bodies. International Journal For Numerical Methods In Engineering 49 (2000) 1377-1396
36. Allen M.P., Frenkel D., and Talbot J. Molecular-dynamics simulation using hard particles. Computer Physics Reports 9 6 (1989) 301-353
37. Langston P.A., Al-Awamleh M.A., Fraige F.Y., and Asmar B.N. Distinct element modelling of non-spherical frictionless particle flow. Chemical Engineering Science 59 2 (2004) 425-435
38. Kuhn M.R. Smooth convex three-dimensional particle for the discrete-element method. Journal Of Engineering Mechanics-ASCE 129 5 (2003) 539-547
39. Song Y.X., Turton R., and Kayihan F. Contact detection algorithms for DEM simulations of tablet-shaped particles. Powder Technology 161 1 (2006) 32-40
40. Jensen R.P., Bosscher P.J., Plesha M.E., and Edil T.B. DEM Simulation of granular media-structure interface: effects of surface roughness and particle shape. International Journal For Numerical And Analytical Methods In Geomechanics 23 (1999) 531-547
41. Favier J.F., Abbaspour-Fard M.H., Kremmer M., and Raji A.O. Shape representation of axisymmetrical, non-spherical particles in discrete element simulation using multi-element model particles. Engineering Computations 16 4 (1999) 467-480
42. Favier J.F., Abbaspour-Fard M.H., and Kremmer M. Modeling nonspherical particles using multisphere discrete elements. Journal Of Engineering Mechanics-ASCE 127 10 (2001) 971-977
43. Vu-Quoc L., Zhang X., and Walton O.R. A 3-D discrete-element method for dry granular flows of ellipsoidal particles. Computer Methods In Applied Mechanics And Engineering 187 3-4 (2000) 483-528
44. Chang Y.L., Chu B.L., and Lin S.S. Numerical simulation of gravel deposits using multi-circle granule model. Journal of the Chinese Institute of Engineers 26 5 (2003) 681-694
45. Abbaspour-Fard M.H. Theoretical validation of a multi-sphere discrete element model suitable for biomaterials handling simulation. Biosystems Engineering 88 2 (2004) 153-161
46. Taylor M.A., Garboczi E.J., Erdogan S.T., and Fowler D.W. Some properties of irregular 3-D particles. Powder Technology 162 1 (2006) 1-15
47. Rougier E., Munjiza A., and John N.W.A. Numerical comparison of some explicit time integration schemes used in DEM, FEM/DEM and molecular dynamics. International Journal For Numerical Methods In Engineering 61 6 (2004) 856-879
48. Kruggel-Emden H, Sturm M, Wirtz S, Scherer V, Selection of an appropriate time integration scheme for the discrete element method (DEM), Computers & Chemical Engineering, (in press).
49. Pöschel T., and Schwager T. Computational Granular Dynamics (2005), Springer, Berlin
50. Simo J.C., and Wong K.K. Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum. International Journal for Numerical Methods In Engineering 31 1 (1991) 19-52
51. Kruggel-Emden H., Simsek E., Rickelt S., Wirtz S., and Scherer V. Review and extension of normal force models for the discrete element method. Powder Technology 130 3 (2007) 157-173
52. Hertz H. Ueber die Berührung fester elastischer Koerper. Journal für die reine und angewandte Mathematik 92 (1882) 156-171
53. Maw N., Barber J.R., and Fawcett J.N. The oblique impact of elastic spheres. Wear 38 (1976) 101-114
54. Di Maio F.P., and Di Renzo A. Analytical solution for the problem of frictional-elastic collisions of spherical particles using the linear model. Chemical Engineering Science 59 16 (2004) 3461-3475
55. Kruggel-Emden H., Wirtz S., and Scherer V. An analytical solution of different configurations of the linear viscoelastic normal and frictional-elastic tangential contact model. Chemical Engineering Science 62 23 (2007) 6914-6926
56. Schäfer J., Dippel S., and Wolf D.E. Force schemes in simulations of granular materials. Journal De Physique. 1 6 1 (1996) 5-20
57. Kruggel-Emden H., Wirtz S., and Scherer V. A study on tangential force laws applicable to the discrete element method (DEM) for materials with viscoelastic or plastic behavior. Chemical Engineering Science 63 6 (2008) 1523-1541
58. Foerster S.F., Louge M.Y., Chang A.H., and Allia K. Measurements of the collision properties of small spheres. Physics of Fluids 6 3 (1994) 1108-1115
59. Ji S.Y., and Shen H.H. Effect of contact force models on granular flow dynamics. Journal Of Engineering Mechanics-ASCE 132 11 (2006) 1252-1259