Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/32670
Title: Geometrical modeling of granular structures
Authors: Laug, P
Borouchaki, H
Benabbou, A
Lu, J
Keywords: Granular media
Nanostructures
Geometrical modeling
Advancing-front approach
Laguerre diagram
Issue Date: 2008
Publisher: Elsevier France-Editions Scientifiques Medicales Elsevier
Source: Comptes rendus - Mecanique, 2008, v. 336, no. 6, p. 506-511 How to cite?
Journal: Comptes Rendus Mecanique 
Abstract: A granular structure is an aggregation of grains whose sizes are characterized by a given distribution. A sample of this kind of structure is often modeled by a rectangle filled with disks in two dimensions or a parallelepiped containing spherical balls in three dimensions. Therefore, the geometrical modeling of such a structure consists in determining a "dense" repartition of disjoint disks (or spherical balls) with respect to the specified size distribution. In this paper, a new sphere packing algorithm based on an advancing-front approach, commonly used in meshing methods, is proposed. Significant improvements in computing time and density have been obtained comparing to existing methods. In addition, we show that the generated circular grains can be transformed into polygonal (polyhedral) cells generally observed in reality. An example of a metallic nanostructure model is presented.
URI: http://hdl.handle.net/10397/32670
ISSN: 1631-0721
DOI: 10.1016/j.crme.2008.02.011
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