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: 1-14. doi:10.1007/s10035-016-0666-5

Author To, Huu Duc
Galindo-Torres, Sergio Andres
Scheuermann, Alexander
Title Sequential sphere packing by trilateration equations
Journal name Granular Matter   Check publisher's open access policy
ISSN 1434-7636
Publication date 2016-08-01
Sub-type Article (original research)
DOI 10.1007/s10035-016-0666-5
Open Access Status Not yet assessed
Volume 18
Issue 70
Start page 1
End page 14
Total pages 14
Place of publication Heidelberg, Germany
Publisher Springer
Language eng
Subject 2500 Materials Science
2211 Mechanics of Materials
3100 Physics and Astronomy
Abstract 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.
Keyword Sphere
Sequential packing
Trilateration equations
Spatial distribution
Discrete element
General shape
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Civil Engineering Publications
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