Granular packing of microsized particles with different size distributions and contact force models is studied using discrete element method (DEM). Three kinds of size distributions, monosized, uniform, and Gaussian, with mean diameter of 50, 60, and 70 μm are studied. Two aspects of microscale particle packing issues are addressed: one is the importance of van der Waals force when the particle size approaching to microscale, the other one is the structure variation caused by different contact force models. The results indicate that compared with contact force, the van der Waals force contributes very insignificantly to the final packing structure. The packing structures obtained using two different force models are similar to each other. The effects of particle size and its distribution on the packing structure are more significant than the force model.

References

References
1.
German
,
R. M.
,
1989
,
Particle Packing Characteristics
,
Metal Powder Industries Federation
,
Princeton, NJ
.
2.
Finney
,
J. L.
,
1970
, “
Random Packings and the Structure of Simple Liquids. I. The Geometry of Random Close Packing
,”
Proc. R. Soc. London, Ser. A
,
319
, pp.
479
493
.10.1098/rspa.1970.0189
3.
Clarke
,
A. S.
, and
Wiley
,
J. D.
,
1987
, “
Numerical Simulation of the Dense Random Packing of a Binary Mixture of Hard Spheres: Amorphous Metal
,”
Phys. Rev. B
,
35
, pp.
7350
7356
.10.1103/PhysRevB.35.7350
4.
Owen
,
D. R. J.
,
Feng
,
Y. T.
,
Neto
,
E. A. D. S.
,
Cottrell
,
M. G.
,
Wang
,
F.
,
Pires
,
F. M. A.
, and
Yu
,
J.
,
2004
, “
The Modeling of Multi-Fracturing Solids and Particulate Media
,”
Int. J. Numer. Methods Eng.
,
60
, pp.
317
339
.10.1002/nme.964
5.
Yang
,
R. Y.
,
Zou
,
R. P.
, and
Yu
,
A. B.
,
2003
, “
Effect of Material Properties on the Packing of Fine Particles
,”
J. Appl. Phys.
,
94
(
5
), pp.
3025
3034
.10.1063/1.1598638
6.
Yang
,
R. Y.
,
Zou
,
R. P.
, and
Yu
,
A. B.
,
2000
, “
Computer Simulation of the Packing of Fine Particles
,”
Phys. Rev. E
,
62
(
3B
), pp.
3900
3908
.10.1103/PhysRevE.62.3900
7.
Landry
,
J. W.
,
Grest
,
G. S.
, and
Plimpton
,
S. J.
,
2004
, “
Discrete Element Simulations of Stress Distributions in Silos: Crossover From Two to Three Dimensions
,”
Powder Technol.
,
139
(
3
), pp.
233
239
.10.1016/j.powtec.2003.10.016
8.
Sykut
,
J.
,
Molenda
,
M.
, and
Horabik
,
J.
,
2008
, “
DEM Simulation of the Packing Structure and Wall Load in a 2-Dimensional Silo
,”
Granular Matter
,
10
, pp.
273
278
.10.1007/s10035-008-0089-z
9.
Gan
,
M.
,
Gopinathan
,
N.
,
Jia
,
X.
, and
Williams
,
R. A.
,
2004
, “
Predicting Packing Characteristics of Particles of Arbitrary Shapes
,”
Kona
,
22
, pp.
82
93
. Available at http://www.kona.or.jp/search/22_082.pdf
10.
Shi
,
Y.
, and
Zhang
,
Y.
,
2008
, “
Simulation of Random Packing of Spherical Particles With Different Size Distributions
,”
Appl. Phys. A
,
92
, pp.
621
626
.10.1007/s00339-008-4547-6
11.
Zhou
,
J.
,
Zhang
,
Y.
, and
Chen
,
J. K.
,
2009
, “
Numerical Simulation of Random Packing of Spherical Particles for Powder-Based Addictive Manufacturing
,”
ASME J. Manuf. Sci. Eng.
,
131
, p.
031004
.10.1115/1.3123324
12.
He
,
D.
, and
Ekere
,
N. N.
,
1998
, “
Computer Simulation of Powder Compaction of Spherical Particles
,”
J. Mater. Sci. Lett.
,
17
, pp.
1723
1725
.10.1023/A:1006623201757
13.
Visscher
,
W. M.
, and
Bolsterli
,
M.
,
1972
, “
Random Packing of Equal and Unequal Spheres in Two and Three Dimensions
,”
Nature
329
, pp.
504
507
.10.1038/239504a0
14.
Anishchik
,
S. V.
, and
Medvedev
,
N. N.
,
1995
, “
Three-Dimensional Apollonian Packing as a Model for Dense Granular Systems
,”
Phys. Rev. Lett.
,
75
, pp.
4314
4317
.10.1103/PhysRevLett.75.4314
15.
Scoppe
,
W.
,
1990
, “
Computer Simulation of Random Packings of Hard Spheres
,”
Powder Technol.
,
62
, pp.
189
196
.10.1016/0032-5910(90)80083-B
16.
Tory
,
E. M.
,
Church
,
B. H.
,
Tam
,
M. K.
, and
Ratner
,
M.
,
1973
, “
Simulated Random Packing of Equal Spheres
,”
Can. J. Chem. Eng.
,
51
, pp.
484
493
.10.1002/cjce.5450510414
17.
Jodrey
,
W. S.
, and
Tory
,
E. M.
,
1979
, “
Simulation of Random Packing of Spheres
,”
Simulation
,
32
, pp.
1
12
.10.1177/003754977903200102
18.
Cheng
,
Y. F.
,
Guo
,
S. J.
, and
Lai
,
H. Y.
,
2000
, “
Dynamic Simulation of Random Packing of Spherical Particles
,”
Powder Technol.
,
107
, pp.
123
130
.10.1016/S0032-5910(99)00178-3
19.
Leonardo
,
E. S.
,
Deniz
,
E.
,
Gary
,
S. G.
,
Thomas
,
C. H.
, and
Dov
,
L.
,
2002
, “
Geometry of Frictionless and Frictional Sphere Packings
,”
Phys. Rev. E
,
65
, p.
031304
.10.1103/PhysRevE.65.031304
20.
Mao
,
K.
,
Wang
,
M.
,
Xu
,
Z.
, and
Chen
,
T.
,
2004
, “
DEM Simulation of Particle Damping
,”
Powder Technol.
,
142
, pp.
154
165
.10.1016/j.powtec.2004.04.031
21.
Jia
,
T.
,
Zhang
,
Y.
, and
Chen
,
J. K.
,
2011
, “
Dynamic Simulation of Particles Packing With Different Size Distributions
,”
ASME J. Manuf. Sci. Eng.
,
133
(
2
), p.
021011
.10.1115/1.4003614
22.
Jia
,
T.
,
Zhang
,
Y.
, and
Chen
,
J. K.
,
2012
, “
Simulation of Granular Packing of Particles With Different Size Distributions
,”
Comput. Mater. Sci.
,
51
(
1
), pp.
172
180
.10.1016/j.commatsci.2011.07.044
23.
Jia
,
T.
,
Zhang
,
Y.
,
Chen
,
J. K.
, and
He
,
Y. L.
,
2012
, “
Dynamic Simulation of Granular Packing of Fine Cohesive Particles With Different Size Distributions
,”
Powder Technol.
,
218
, pp.
76
85
.10.1016/j.powtec.2011.11.042
24.
Alvo
,
S.
,
Lambert
,
P.
,
Gauthier
,
M.
, and
Régnier
,
S.
,
2010
, “
A van der Waals Force-Based Adhesion Model for Micro Manipulation
,”
J. Adhes. Sci. Technol.
,
24
, pp.
2415
2428
.10.1163/016942410X508334
25.
Santamarina
,
J. C.
,
2001
, “
Soil Behavior and Soft Ground Construction
,”
Proceedings of Symposium Soil Behavior and Soft Ground Construction in Honor of Charles C. Ladd
, Oct. 2001, MIT.
26.
Feddema
,
J. T.
,
Xavier
,
P.
, and
Brown
,
R.
,
1999
, “
Micro-Assembly Planning With van der Waals Force
,”
Proceedings of IEEE International Symposium Assembly Task Planning
, pp.
32
38
.
27.
Zhou
,
Q.
,
Kallio
,
P.
,
Arai
,
F.
,
Fukuda
,
T.
, and
Koivo
,
H. N.
,
1999
, “
A Model for Operating Spherical Micro Objects
,”
Proceedings of 1999 International Symposium on Micromechatronics and Human Science
, pp.
79
85
.
28.
Kloss
,
C.
,
Goniva
,
C.
,
Hager
,
A.
,
Amberger
,
S.
, and
Pirker
,
S.
,
2012
, “
Models, Algorithms, and Validation for Open Source DEM and CFD-DEM
,”
Prog. Comput. Fluid Dyn.
,
12
, pp.
140
152
.10.1504/PCFD.2012.047457
29.
Plimpton
,
S.
,
1995
, “
Fast Parallel Algorithms for Short-Range Molecular Dynamics
,”
J. Comp. Physiol.
,
117
, pp.
1
19
.10.1006/jcph.1995.1039
30.
Tibor
,
G. J.
, and
Fritz
,
E.
,
2005
, “
Three-Dimensional Discrete Element Simulations in Hoppers and Silos
,”
Powder Technol.
,
158
, pp.
58
68
.10.1016/j.powtec.2005.04.019
31.
Mindlin
,
R. D.
, and
Deresiewicz
,
H.
,
1953
, “
Elastic Spheres in Contact Under Varying Oblique Forces
,”
J. Appl. Mech.
,
20
, pp.
327
344
.
32.
Vu-Quoc
,
L.
,
Lesburg
,
L.
, and
Zhang
,
X.
,
2004
, “
An Accurate Tangential Force-Displacement Model for Granular-Flow Simulations: Contacting Spheres With Plastic Deformation, Force-Driven Formulation
,”
J. Comput. Phys.
,
196
, pp.
298
326
.10.1016/j.jcp.2003.10.025
33.
Kruggel
,
E. H.
,
Wirtza
,
S.
, and
Scherera
,
V.
,
2008
, “
A Study on Tangential Force Laws Applicable to the Discrete Element Method (DEM) for Materials With Viscoelastic or Plastic Behavior
,”
Chem. Eng. Sci.
,
63
, pp.
1523
1541
.10.1016/j.ces.2007.11.025
34.
Hamaker
,
H. C.
,
1937
, “
The London—van der Waals Attraction Between Spherical Particles
,”
Physica
,
4
, pp.
1058
1072
.10.1016/S0031-8914(37)80203-7
35.
Brilliantov
,
N. V.
,
Spahn
,
F.
,
Hertzsch
,
J. M.
, and
Poschel
,
T.
,
1996
, “
Model for Collisions in Granular Gases
,”
Phys. Rev. E
,
53
, pp.
5382
5392
.10.1103/PhysRevE.53.5382
36.
Silbert
,
L. E.
,
Ertas
,
D.
,
Grest
,
G. S.
,
Halsey
,
T. C.
,
Levine
,
D.
, and
Plimpton
,
S. J.
,
2001
, “
Granular Flow Down an Inclined Plane: Bagnold Scaling and Rheology
,”
Phys. Rev. E
,
64
, p.
051302
.10.1103/PhysRevE.64.051302
37.
Zhang
,
H. P.
, and
Makse
,
H. A.
,
2005
, “
Jamming Transition in Emulsions and Granular Materials
,”
Phys. Rev. E
,
72
, p.
011301
.10.1103/PhysRevE.72.011301
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