Distinct element method is employed to simulate packing of spherical particles with different size distributions: equal-size, bimodal, and Gaussian. During the packing process, particles collide with their neighbors and bounce back and forth. Since the collision is inelastic, dissipative force exits, leading to energy loss in every collision. The interparticle contact force is calculated based on the nonlinear Hertz theory. The packing structures quantified by porosity and the coordination number under different particle size distributions are discussed.

1.
Cundall
,
P. A.
, and
Strack
,
O. D. L.
, 1979, “
A Discrete Numerical Model for Granular Assemblies
,”
Geotechnique
0016-8505,
29
, pp.
47
65
.
2.
Iglberger
,
K.
, and
Rüde
,
U.
, 2009, “
Massively Parallel Rigid Body Dynamics Simulations
,”
Computer Science-Research and Development
1865-2034,
23
, pp.
159
167
.
3.
Remond
,
S.
, and
Gallias
,
J. L.
, 2006, “
Simulation of Periodic Mono-Sized Hard Sphere Systems Under Different Vibration Conditions and Resulting Compaction
,”
Physica A
0378-4371,
369
, pp.
545
561
.
4.
James
W. L.
, and
Gary
S. G.
, 2003, “
Confined Granular Packings: Structure, Stress, and Forces
,”
Phys. Rev. E
1063-651X,
67
, p.
041303
.
5.
Silbert
,
L. E.
,
Ertaş
,
D.
,
Grest
,
G. S.
,
Halsey
,
T. C.
, and
Dov
,
L.
, 2002, “
Geometry of Frictionless and Frictional Sphere Packings
,”
Phys. Rev. E
1063-651X,
65
, p.
031304
.
6.
Cheng
,
Y. F.
,
Guo
,
S. J.
, and
Lai
,
H. Y.
, 2000, “
Dynamic Simulation of Random Packing of Spherical Particles
,”
Powder Technol.
0032-5910,
107
, pp.
123
130
.
7.
Schwager
,
T.
, and
Poschel
,
T.
, 1998, “
Coefficient of Normal Restitution of Viscous Particles and Cooling Rate of Granular Gases
,”
Phys. Rev. E
1063-651X,
57
, pp.
650
654
.
8.
Brilliantov
,
N. V.
,
Spahn
,
F.
, and
Hertzsch
,
J. M.
, 1996, “
Model for Collisions in Granular Gases
,”
Phys. Rev. E
1063-651X,
53
, pp.
5382
5392
.
9.
McNamara
,
S.
, and
Falcon
,
E.
, 2008, “
Simulations of Dense Granular Gases Without Gravity With Impact-Velocity-Dependent Restitution Coefficient
,”
Powder Technol.
0032-5910,
182
, pp.
232
240
.
10.
Tighe
,
B. P.
, and
Socolar
,
J. E. S.
, 2008, “
Nonlinear Elastic Stress Response in Granular Packings
,”
Phys. Rev. E
1063-651X,
77
, p.
031303
.
11.
Johnson
,
K. L.
, 1985,
Contact Mechanics
,
Cambridge University Press
,
Cambridge, UK
.
12.
Siiriä
,
S.
, and
Yliruusi
,
J.
, 2007, “
Particle Packing Simulations Based on Newtonian Mechanics
,”
Powder Technol.
0032-5910,
174
, pp.
82
92
.
13.
Mao
,
K.
,
Wang
,
M.
,
Xu
,
Z.
, and
Chen
,
T.
, 2004, “
DEM Simulation of Particle Damping
,”
Powder Technol.
0032-5910,
142
, pp.
154
165
.
14.
Zhao
,
X. L.
,
Li
,
S. Q.
,
Liu
,
G. Q.
,
Yao
,
Q.
, and
Marshall
,
J. S.
, 2008, “
DEM Simulation of the Particle Dynamics in Two-Dimensional Spouted Beds
,”
Powder Technol.
0032-5910,
184
, pp.
205
213
.
15.
He
,
D.
, and
Ekere
,
N. N.
, 1998, “
Computer Simulation of Powder Compaction of Spherical Particles
,”
J. Mater. Sci. Lett.
0261-8028,
17
, pp.
1723
1725
.
16.
Jodrey
,
W. S.
, and
Tory
,
E. M.
, 1985, “
Computer Simulation of Isotropic, Homogeneous, Dense Random Packing of Equal Hard Spheres
,”
Phys. Rev. A
1050-2947,
32
, pp.
2347
2351
.
17.
Jodrey
,
W. S.
, and
Tory
,
E. M.
, 1981, “
Computer Simulation of Isotropic, Homogeneous, Dense Random Packing of Equal Spheres
,”
Powder Technol.
0032-5910,
30
, pp.
111
118
.
18.
Shi
,
Y.
, and
Zhang
,
Y.
, 2008, “
Simulation of Random Packing of Spherical Particles With Different Size Distributions
,”
Appl. Phys. A: Mater. Sci. Process.
0947-8396,
92
, pp.
621
626
.
19.
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.
1087-1357,
131
, p.
031004
.
20.
Rahaman
,
M. N.
, 1995,
Ceramic Processing and Sinstering
,
Marcel Dekker
,
New York
.
21.
Haile
,
J. M.
, 1992,
Molecular Dynamics Simulation: Elementary Method
,
Wiley
,
New York
.
22.
Rapaport
,
D. C.
, 1995,
The Art of Molecular Dynamics Simulation
,
Cambridge University Press
,
Cambridge, UK
.
You do not currently have access to this content.