NDLI: A hierarchical approach to simulate the packing density of particle mixtures on a computer

Content Provider	Springer Nature Link
Author	Kolonko, Michael Raschdorf, Steffen Wäsch, Dominic
Copyright Year	2010
Abstract	In many fields of materials science it is important to know how densely a particle mixture can be packed. The “packing density” is the ratio of the particle volume and the volume of the surrounding container needed for a random close packing of the particles. We present a method for estimating the packing density for spherical particles based on computer simulations only, i.e. without the need for additional experiments. Our method is particularly suited for particle mixtures with an extremely wide range of particle diameters as they occur e.g. in modern concrete mixtures. A single representative sample from such mixtures would be much larger than can be handled on present standard computers. In our hierarchical approach the diameter range is therefore divided into smaller intervals. Samples from these limited diameter intervals are drawn and their packing density is estimated from a simulated packing. The results are used to “fill” the interstices in the sample from the next larger particle interval. To account for the interaction between particles of different sizes we include larger particles into the sample of smaller ones. The larger ones act as part of the boundary during the packing. Thus we obtain more realistic estimates of how dense a fraction of particles can be packed within the whole mixture. The focus of this paper is on the divide-and-conquer approach and on how the simulation results from the fractions can be collected into an overall estimate of the packing density. We do not go into details of the simulation technique for the single packing. We compare our results to some experimental data to show that our method works at least as good as the classical analytical models like CPM without the need for any experiments.
Starting Page	629
Ending Page	643
Page Count	15
File Format	PDF
ISSN	14345021
Journal	Granular Matter
Volume Number	12
Issue Number	6
e-ISSN	14347636
Language	English
Publisher	Springer-Verlag
Publisher Date	2010-10-01
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Packing density Space filling Particle simulation Polydisperse particles Sphere packing Systematic sampling Engineering Thermodynamics, Heat and Mass Transfer Industrial Chemistry/Chemical Engineering Geoengineering, Foundations, Hydraulics Materials Science Engineering Fluid Dynamics Soft and Granular Matter, Complex Fluids and Microfluidics
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Mechanics of Materials Materials Science

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