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Research Papers

On the Effect of Particle Size Distribution in Cold Powder Compaction

[+] Author and Article Information
Erik Olsson

Department of Solid Mechanics,  Royal Institute of Technology, Stockholm, SE-10044, Swedenerolsson@kth.se

Per-Lennart Larsson1

Department of Solid Mechanics,  Royal Institute of Technology, Stockholm, SE-10044, Swedenpelle@hallf.kth.se

1

Corresponding author.

J. Appl. Mech 79(5), 051017 (Jul 16, 2012) (8 pages) doi:10.1115/1.4006382 History: Received June 17, 2011; Revised January 16, 2012; Posted March 15, 2012; Published June 28, 2012; Online July 16, 2012

The effect of particle size distribution in powder compaction has been studied using the discrete element method. Both isostatic compaction and closed die compaction are studied together during the entire loading process. Particle rotation and frictional effects are accounted for in the analysis. The particles are, constitutively described by rigid plasticity, assumed to be spherical with the size of the radii that follows a truncated normal distribution. The results show that size distribution effects are small on global compaction properties like compaction pressure if the size distribution is small. Furthermore, the size distribution had no influence at all on the macroscopic behavior at unloading. To verify the model, comparisons were made on two different sets of experiment found in the literature where the particles were of varying sizes. Good agreement was found both on fundamental properties like the average number of contacts per particle and on more important properties from a practical point of view, like the compaction pressure.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

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Figure 1

(a) 4000 particles, where the radii have a standard deviation of 20% of the mean value, directly after filling at a packing density of 60%. (b) The particles compacted uniaxially to a packing density of 75%.

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Figure 2

Schematics of the contact behavior formulated in Eqs. 10,14

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Figure 3

Average coordination number at (a) isostatic compaction and (b) closed die compaction of bronze powder

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Figure 4

(a) SEM micrograph of the aluminum powder used by Sridhar and Fleck [21]. (b) The powder model used in the DEM simulations.

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Figure 5

Comparison between present DEM simulations with and without size distribution, the analytical model by Storåkers et. al [5] and experimental results from Sridhar and Fleck [21] for (a) isostatic compaction and (b) closed die compaction

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Figure 7

Normalized pressure in axial and radial direction where radial stresses are always smaller than the axial ones. (a) Closed die compaction without friction and rotation, (b) closed die comapction with friction, (c) closed die compaction with friction and rotation.

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Figure 8

The influence of the coefficient of friction at closed die compaction for different size distributions. (a) Std = 0% and (b) Std = 40%.

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Figure 9

Local rearrangement of the particles described by the measure e (Eq. 18) computed for (a) isostatic compaction, Std = 0%, (b) isostatic compaction, Std = 40%, (c) closed die compaction, Std = 0%, and (d) closed die compaction, Std = 40%

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Figure 6

Normalized pressure and average coordination number for different standard deviations. (a) and (b) Isostatic compaction without friction and rotation, (c) and (d) isostatic compaction with friction, (e) and (f) isostatic compaction with friction and rotation.

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