Assessment of rolling resistance models in discrete element simulations

Powder Technology

Volumn 206, Issue 3, 2011, Pages 269-282

  Ai, Jun ^a   Chen, Jian Fei ^a   Rotter, J Michael ^a   Ooi, Jin Y ^a  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

Angle of repose; Discrete element method; Granular flow; Granular material; Rolling friction; Rolling resistance; Sandpile

Indexed keywords

ANGLE OF REPOSE; DISCRETE ELEMENT METHOD; GRANULAR FLOWS; ROLLING FRICTION; SANDPILE;

CONFINED FLOW; GRANULAR MATERIALS; MODELS; ROLLING RESISTANCE; TRIBOLOGY;

COMPUTER SIMULATION;

ARTICLE; CLASSIFICATION; DISCRETE ELEMENT MODEL; FRICTION; KINEMATICS; MATHEMATICAL MODEL; MOLECULAR DYNAMICS; OSCILLATION; PARTICLE SIZE; PRESSURE MEASUREMENT; ROLLING FRICTION; ROLLING RESISTANCE; SIMULATION; STEADY STATE; VELOCITY;

EID: 78649719489     PISSN: 00325910     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.powtec.2010.09.030     Document Type: Article

References (84)

1. Herrmann H.J., Luding S. Modeling granular media on the computer. Continuum Mech. Thermodyn. 1998, 10:189-231.
2. Owen D.R.J., Feng Y.T., Neto E.A.d.S., Cottrell M.G., Wang F., Pires F.M.A., Yu J. The modelling of multi-fracturing solids and particulate media. Int. J. Numer. Methods Eng. 2004, 60:317-339.
3. Cundall P.A., Strack O.D.L. Discrete numerical model for granular assemblies. Geotechnique 1979, 29:47-65.
4. Cundall P.A., Strack O.D.L. Modeling of microscopic mechanisms in granular material. Mechanics of Granular Materials: New Models and Constitutive Relations, Ithaca, NY, USA 1983, 137-149.
5. Favier J.F., Abbaspour-Fard M.H., Kremmer M., Raji A.O. Shape representation of axisymmetrical, non-spherical particles in discrete element simulation using multi-element model particles. Eng. Comput. 1999, 16:467-480.
6. Favier J.F., Abbaspour-Fard M.H., Kremmer M. Modeling nonspherical particles using multisphere discrete elements. J. Eng. Mech. Asce 2001, 127:971-977.
7. Potyondy D.O., Cundall P.A. A bonded-particle model for rock. Int. J. Rock Mech. Min. Sci. 2004, 41:1329-1364.
8. PFC2D/3D v.3.1, Itasca Consulting Group, Inc., Minneapolis, Minnesota, USA (2004).
9. Bardet J.P., Huang Q. Numerical modeling of micropolar effects in idealized granular materials. American Society of Mechanical Engineers, Materials Division (Publication) MD 37 1992, 85-92.
10. Bardet J.P. Observations on the effects of particle rotations on the failure of idealized granular materials. Mech. Mater. 1994, 18:159-182.
11. Iwashita K., Oda M. Rolling resistance at contacts in simulation of shear band development by DEM. J. Eng. Mech. Asce 1998, 124:285-292.
12. Oda M., Konishi J., Nemat-Nasser S. Experimental micromechanical evaluation of strength of granular materials: Effects of particle rolling. Mech. Mater. 1982, 1:269-283.
13. Calvetti F., Combe G., Lanier J. Experimental micromechanical analysis of a 2D granular material: relation between structure evolution and loading path. Mech. Cohes. Frict. Mat. 1997, 2:121-163.
14. Daudon D., Lanier J., Jean M. A micromechanical comparison between experimental results and numerical simulation of a biaxial test on 2D material. Powders & Grains 1997, 97:219-222. A.A. Balkema, Rotterdam, Netherlands.
15. Misra A., Jiang H. Measured kinematic fields in the biaxial shear of granular materials. Comput. Geotech. 1997, 20:267-285.
16. Lanier J. Micro-mechanisms of deformation in granular materials: Experiments and numerical results. Continuous and discontinuous modelling of cohesive-frictional materials, Berlin 2001, 163-171.
17. Zhou Y.C., Wright B.D., Yang R.Y., Xu B.H., Yu A.B. Rolling friction in the dynamic simulation of sandpile formation. Physica A 1999, 269:536-553.
18. Sakaguchi E., Ozaki E., Igarashi T. Plugging of the flow of granular materials during the discharge from a silo. Int. J. Mod. Phys. B 1993, 7:1949-1963.
19. EDEM v.2.1, DEM-solutions, Edinburgh, U.K. (2008).
20. Jiang M.J., Yu H.S., Harris D. A novel discrete model for granular material incorporating rolling resistance. Comput. Geotech. 2005, 32:340-357.
21. Jiang M.J., Yu H.S., Harris D. Bond rolling resistance and its effect on yielding of bonded granulates by DEM analyses. Int. J. Numer. Anal. Methods Geomech. 2006, 30:723-761.
22. Johnson K.L. Contact mechanics 1985, Cambridge Univerisity Press.
23. O. Reynolds, On rolling-friction, Philos T R Soc (1776-1886) 166 (1876) 155-174.
24. Heathcote H.L. The ball bearing: in the making, under test and on service. Proc. Inst. Mech. Eng. Part D J. Automob. Eng. 1921, 15:569-702.
25. Konvisarov D.V., Pokrovskaia A.A. Influence of the radii of curvature of cylindrical bodies on their resistance to rolling under different loads. Proc. Sib. Phys. Tech. Inst. 1955, 34:62-79.
26. Pinegin S.V., Orlov A.V. Resistance to motion for certain types of free rolling, (I.R.) Izv. AN SSSR. Mekhanika Mashinostroenie 1961, 3:91-97.
27. Kalker J.J. Three-dimensional elastic bodies in rolling contact 1990, Kluwer Academic Publishers.
28. Eldredge K.R., Tabor D. The mechanism of rolling friction. I. The plastic range. Proc. R. Soc. A Math. Phys. 1955, 229:181-198.
29. Flom D.G. Dynamic mechanical losses in rolling contacts. Rolling contact phenomena 1962, 97-112.
30. Hamilton G.M. Plastic flow in rollers loaded above the yield point. Proc. Inst. Mech. Eng. 1963, 667-675.
31. Johnson K.L., White I.C. Rolling resistance measurements at high loads. Int. J. Mech. Sci. 1974, 16:939-943.
32. Flom D.G., Bueche A.M. Theory of rolling friction for spheres. J. Appl. Phys. 1959, 30:1725-1730.
33. May W.D., Morris E.L., Atack D. Rolling friction of a hard cylinder over a viscoelastic material. J. Appl. Phys. 1959, 30:1713-1724.
34. Ludema K.C., Tabor D. The friction and viscoelastic properties of polymeric solids. WEAR 1966, 9:329-348.
35. Oden J.T., Lin T.L. On the general rolling contact problem for finite deformations of a viscoelastic cylinder. Comput. Meth. Appl. Mech. Eng. 1986, 57:297-367.
36. Goryacheva I., Sadeghi F. Contact characteristics of a rolling/sliding cylinder and a viscoelastic layer bonded to an elastic substrate. WEAR 1995, 184:125.
37. Brilliantov N.V., Poschel T. Rolling friction of a viscous sphere on a hard plane. Europhys. Lett. 1998, 42:511.
38. Brilliantov N.V., Poschel T. Rolling as a "continuing collision". Eur. Phys. J. B 1999, 12:299.
39. Poschel T., Schwager T., Brilliantov N.V. Rolling friction of a hard cylinder on a viscous plane. Eur. Phys. J. B 1999, 10:169.
40. Tomlinson J.A. A molecular theory of friction. Philos. Mag. 1929, 7:905-939.
41. Domenech A., Domenech T., Cebrian J. Introduction to the study of rolling friction. Am. J. Phys. 1987, 55:231-235.
42. Dominik C., Tielens A.G.G.M. Resistance to rolling in the adhesive contact of two elastic spheres. Philos. Mag. A 1995, 72:783-803.
43. Charmet J.C., Barquins M. Adhesive contact and rolling of a rigid cylinder under the pull of gravity on the underside of a smooth-surfaced sheet of rubber. Int. J. Adhes. Adhes. 1996, 16:249-254.
44. Robbe-Valloire F., Barquins M. Adhesive contact and kinetics of adherence between a rigid cylinder and an elastomeric solid. Int. J. Adhes. Adhes. 1998, 18:29-34.
45. Hao S., Keer L.M. Rolling contact between rigid cylinder and semi-infinite elastic body with sliding and adhesion. J. Tribol.T. Asme 2007, 129:481-494.
46. Kim K.S., McMeeking R.M., Johnson K.L. Adhesion, slip, cohesive zones and energy fluxes for elastic spheres in contact. J. Mech. Phys. Solids 1998, 46:243-266.
47. Maugis D. Contact, adhesion, and rupture of elastic solids 2000, Springer.
48. Oda M., Iwashita K. Study on couple stress and shear band development in granular media based on numerical simulation analyses. Int. J. Eng. Sci. 2000, 38:1713-1740.
49. Bardet J.P., Proubet J. Shear-band analysis in idealized granular material. J. Eng. Mech. Asce 1992, 118:397-415.
50. Azarkhin A. Some history-dependent problems for dissimilar cylinders with finite friction. J. Appl. Mech. T. Asme 1988, 55:81-86.
51. Morgan J.K. Capturing physical phenomena in particle dynamics simulations of granular fault gouge. 3rd ACES workshop proceedings, Melbourne and Brisbane 2003, 23-30.
52. Iwashita K., Oda M. Micro-deformation mechanism of shear banding process based on modified distinct element method. Powder Technol. 2000, 109:192-205.
53. Wang J.F., Gutierrez M., Dove J. Effect of particle rolling resistance on interface shear behavior, 17th ASCE Engineering mechanics conference 2004, University of Delaware, Newark, DE.
54. Tordesillas A., Walsh D.C.S. Incorporating rolling resistance and contact anisotropy in micromechanical models of granular media. Powder Technol. 2002, 124:106-111.
55. Tordesillas A., Peters J., Muthuswamy M. Role of particle rotations and rolling resistance in a semi-infinite particulate solid indented by a rigid flat punch. Anziam J. 2004, 46.
56. Li X., Chu X., Feng Y.T. A discrete particle model and numerical modeling of the failure modes of granular materials. Eng. Comput. 2005, 22:894-920.
57. Tordesillas A. Force chain buckling, unjamming transitions and shear banding in dense granular assemblies. Philos. Mag. 2007, 87:4987-5016.
58. Jiang M., Yu H.-S., Harris D. Kinematic variables bridging discrete and continuum granular mechanics. Mech. Res. Commun. 2006, 33:651-666.
59. Lee J., Herrmann H.J. Angle of repose and angle of marginal stability: Molecular dyanmics of granular particles. J. Phys. A: Math. Gen. 1993, 26:373.
60. Luding S. Stress distribution in static two-dimensional granular model media in the absence of friction. Phys. Rev. E 1997, 55:4720-4729.
61. Elperin T., Golshtein E. Comparison of different models for tangential forces using the particle dynamics method. Physica A 1997, 242:332-340.
62. Beer F.P., Johnston E.R. Mechanics for engineers -static and dynamics 1976, MacGraw-Hill.
63. Yang R.Y., Zou R.P., Yu A.B. Computer simulation of the packing of fine particles. Phys. Rev. E 2000, 62:3900-3908.
64. Zhou Y.C., Xu B.H., Yu A.B., Zulli P. Numerical investigation of the angle of repose of monosized spheres. Phys. Rev. E 2001, 213011.
65. Zhou Y.C., Xu B.H., Yu A.B., Zulli P. An experimental and numerical study of the angle of repose of coarse spheres. Powder Technol. 2002, 125:45-54.
66. Zhou Y.C., Xu B.H., Zou R.P., Yu A.B., Zulli P. Stress distribution in a sandpile formed on a deflected base. Adv. Powder Technol. 2003, 14:401-410.
67. Zhu H.P., Yu A.B. The effects of wall and rolling resistance on the couple stress of granular materials in vertical flow. Physica A 2003, 325:347-360.
68. Zhu H.P., Xiao G.X., Zhou Z.Y., Yu A.B., Xu D.L. Numerical simulation of the interaction forces between turbine meter and particles in a standpipe. Granular Matter 2004, 5:193-199.
69. Zhu H.P., Yu A.B. A theoretical analysis of the force models in discrete element method. Powder Technol. 2006, 161:122-129.
70. Feng Y.T., Han K., Owen D.R.J. Some computational issues on numerical simulation of particulate systems. Fifth world congress on computational mechanics (WCCM V), Vienna, Austria 2002.
71. Goriacheva I.G. Contact mechanics in tribology 1998, Springer.
72. Lakshmana Rao C., Lakshminarasimhan J., Sethuraman R., Sivakumar S.M. Engineering Mechanics: Statics and Dynamics 2003, Prentice Hall of India.
73. Kuhn M.R., Member A., Bagi A. Particle rotations in granular materials. 15th ASCE Engineering Mechanics Conference 2002, Columbia University, New York, NY.
74. Kuhn M.R., Bagi K. Particle rolling and its effects in granular materials, Quasi-static deformations of particulate materials. Proceedings of the QuaDPM'03 workshop 2003, 151-158.
75. Bagi K., Kuhn M.R. A definition of particle rolling in a granular assembly in terms of particle translations and rotations. J. Appl. Mech. T. Asme 2004, 71:493-501.
76. Kuhn M.R., Bagi K. Alternative definition of particle rolling in a granular assembly. J. Eng. Mech. Asce 2004, 130:826-835.
77. Kuhn M.R., Bagi K. Contact rolling and deformation in granular media. Int. J. Solids Struct. 2004, 41:5793-5820.
78. Bardet J.P., Huang Q. Rotational stiffness of cylindrical particle contacts. Proc., Second Int. Conf. on Micromechanics of Granular Media 1993, 39-43.
79. Kondic L. Dynamics of spherical particles on a surface: Collision-induced sliding and other effects. Phys. Rev. E 1999, 60:751-770.
80. Thornton C., Randall C.W. Applications of theoretical contact mechanics to solid particle system simulation. Micromechanics of Granular Materials 1988, 133-142.
81. O'Sullivan C., Bray J.D. Selecting a suitable time step for discrete element simulations that use the central difference time integration scheme. Eng. Comput. 2004, 21:278-303.
82. Chung Y.C. Discrete element modelling and experimental validation of a granular solid subject to different loading conditions, PhD 2006, The University of Edinburgh.
83. Zuriguel I., Mullin T., Rotter J.M. Effect of particle shape on the stress dip under a sandpile. Phys. Rev. Lett. 2007, 98:028001.
84. Ai J. Particle scale and bulk scale investigation of granular piles and silos, Ph.D. 2010, The University of Edinburgh.