Sequential sphere packing by trilateration equations

To, Huu Duc, Galindo-Torres, Sergio Andres, and Scheuermann, Alexander (2016) Sequential sphere packing by trilateration equations. Granular Matter, 18 (70). pp. 1-14.

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Specimen generation by packing of particles is the initial step in most numerical simulations for discrete media. In many cases, especially for virtual soil compaction, filtration, or penetration tests, this preparation work is essential for the success of the tests because the discrete particles are not able to be redistributed during the simulation. This paper presents a novel sphere sequential packing method for specimen generation using the trilateration method and its relevant equations. The method is developed on an assumption that spherical particles must be in contact with at least three neighbour particles to be kept in balance. This semi-analytical method has three advantages: quick generation speed, adjustable porosity, and good control over the spatial distribution of particles at local scale. This paper is a study on two typical spatial distributions: (1) layer-wise, where particles with similar sizes have priority of being positioned next to each other; and (2) discrete, where small particles are located preferentially in between large particles.

Item ID: 46003
Item Type: Article (Research - C1)
ISSN: 1434-7636
Funders: Vietnamese Ministry of Education and Training (MOET), Australian Research Council (ARC)
Projects and Grants: ARC Discovery Project (DP120102188)
Date Deposited: 10 Oct 2016 01:04
FoR Codes: 40 ENGINEERING > 4005 Civil engineering > 400502 Civil geotechnical engineering @ 20%
46 INFORMATION AND COMPUTING SCIENCES > 4613 Theory of computation > 461306 Numerical computation and mathematical software @ 80%
SEO Codes: 87 CONSTRUCTION > 8702 Construction Design > 870201 Civil Construction Design @ 100%
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