Relationship between the packing density and coordination number of powder mixtures I. A two-particle function of microparticles and its geometric interpretation

1989 ◽  
Vol 28 (6) ◽  
pp. 436-438
Author(s):  
V. D. Belik
Keyword(s):  
Coordination Number ◽  
Packing Density ◽  
Geometric Interpretation ◽  
Powder Mixtures

Influence of modifier cations on the local environment of aluminum in La2O3–Al2O3 and Y2O3–Al2O3 binary glasses

2020 ◽  
Vol 22 (35) ◽  
pp. 19592-19599
Author(s):  
Yasuhiro Watanabe ◽  
Atsunobu Masuno ◽  
Hiroyuki Inoue ◽  
Yutaka Yanaba ◽  
Katsuyoshi Kato
Keyword(s):  
Coordination Number ◽  
Packing Density ◽  
Local Environment ◽  
Oxygen Coordination

In aluminate glasses, the oxygen coordination number around Al depends mainly on packing density.

The packing density of binary powder mixtures

1995 ◽  
Vol 15 (5) ◽  
pp. 479-483 ◽  
Author(s):  
Jingmin Zheng ◽  
William B. Carlson ◽  
James S. Reed
Keyword(s):  
Packing Density ◽  
Powder Mixtures ◽  
Binary Powder Mixtures

scholarly journals Analysis of Cohesive Microsized Particle Packing Structure Using History-Dependent Contact Models

2015 ◽  
Vol 138 (4) ◽  
Author(s):  
Raihan Tayeb ◽  
Xin Dou ◽  
Yijin Mao ◽  
Yuwen Zhang
Keyword(s):  
Particle Size ◽  
Coordination Number ◽  
Gaussian Distribution ◽  
Packing Density ◽  
Mean Value ◽  
Distribution Functions ◽  
Particle Packing ◽  
Size Distributions ◽  
Packing Structure ◽  
Contact Models

Granular packing structures of cohesive microsized particles with different sizes and size distributions, including monosized, uniform, and Gaussian distribution, are investigated by using two different history dependent contact models with discrete element method (DEM). The simulation is carried out in the framework of liggghts, which is a DEM simulation package extended based on branch of granular package of widely used open-source code LAMMPS. Contact force caused by translation and rotation, frictional and damping forces due to collision with other particles or container boundaries, cohesive force, van der Waals force, and gravity is considered. The radial distribution functions (RDFs), force distributions, porosities, and coordination numbers under cohesive and noncohesive conditions are reported. The results indicate that particle size and size distributions have great influences on the packing density for particle packing under cohesive effect: particles with Gaussian distribution have the lowest packing density, followed by the particles with uniform distribution; the particles with monosized distribution have the highest packing density. It is also found that cohesive effect to the system does not significantly affect the coordination number that mainly depends on the particle size and size distribution. Although the magnitude of net force distribution is different, the results for porosity, coordination number, and mean value of magnitude of net force do not vary significantly between the two contact models.

Elastische und thermoelastische Konstanten des LiBaF3 / Elastic and Thermoelastic Constants of LiBaF3

1972 ◽  
Vol 27 (6) ◽  
pp. 1022-1024 ◽  
Author(s):  
S. Haussühl ◽  
R. Leckebusch ◽  
K. Recker
Keyword(s):  
Refractive Index ◽  
Coordination Number ◽  
Packing Density ◽  
Elastic Stiffness ◽  
Ultrasonic Methods ◽  
The Mean ◽  
Quantitative Explanation

AbstractThe elastic and thermoelastic constants of cubic LiBaF3 are measured by ultrasonic methods. As a consequence of the larger packing density which results from the higher coordination number of the Ba ions in LiBaF3 the values for the mean elastic stiffness and for the refractive index exceed those of LiF and BaF2 . A quantitative explanation of these properties is given. The values of many other properties range between those of LiF and BaF2.

Packing Density of Composite Powder Mixtures

1991 ◽  
Vol 74 (8) ◽  
pp. 1880-1885 ◽  
Author(s):  
Frank Zok ◽  
Fred F. Lange ◽  
John R. Porter
Keyword(s):  
Packing Density ◽  
Composite Powder ◽  
Powder Mixtures

Simulation of Forming Process of Powder Bed for Additive Manufacturing

2016 ◽  
Vol 138 (8) ◽  
Author(s):  
Zhaowei Xiang ◽  
Ming Yin ◽  
Zhenbo Deng ◽  
Xiaoqin Mei ◽  
Guofu Yin
Keyword(s):  
Additive Manufacturing ◽  
Coordination Number ◽  
Layer Thickness ◽  
Packing Density ◽  
Size Distributions ◽  
Forming Process ◽  
Powder Bed ◽  
Soft Sphere ◽  
Number Increase ◽  
Initial Packing

The forming process of powder bed for additive manufacturing (AM) is analyzed and is simplified to three processes, including random packing, layering, and compression. The processes are simulated by using the discrete element method (DEM). First, the particles with monosize, bimodal, and Gaussian size distributions are randomly packed. Then, the packed particles are layered with different thicknesses. Finally, a 20 μm compression is applied on the top surface of the layered powder beds. All the processes are simulated based on the soft sphere model. Packing density and coordination number are calculated to evaluate the packing mesostructure. The results indicate that the packing density and coordination number increase with the layer thickness increasing in the initial packing, and compression can effectively increase the density and coordination number of powder bed and decrease the effect of ranging layer thickness. The results also show that powder bed with monosize distribution initially has the best combination performance. Our research provides a theoretical guide to choosing the layer thickness and size distribution initially of powder bed for AM.

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