Voronoi modelling of the void structure in three dimensional and near-planar random fibre networks

Valeriy Luchnikov; Nikolai Medvedev; William Sampson

doi:10.1109/ISVD.2006.40

Voronoi modelling of the void structure in three dimensional and near-planar random fibre networks

Valeriy Luchnikov, Nikolai Medvedev, William Sampson

Research output: Chapter in Book/Conference proceeding › Conference contribution › peer-review

Abstract

A representation of the porous space of computer models of random fibre networks by Voronoi networks is introduced. The lengths of the pores are determined as the lengths of the Voronoi bonds, and the bottleneck radii as the minimal radii of the Delaunay empty sphere along the bonds. Three dimensional and approximately two dimensional networks are considered and found to exhibit very similar void structures. The distributions of the pore bottlenecks and bond lengths and bond length tortuosities are shown to be well approximated by Normal and half-Normal distributions respectively; the distribution of tortuosities is approximately exponential. © 2006 IEEE.

Original language	English
Title of host publication	Proceedings - 3rd International Symposium on Voronoi Diagrams in Science and Engineering 2006, ISVD 2006\|Proc. Int. Symp. Voronoi Diag. Sci. Eng.
Place of Publication	Washington, DC
Publisher	IEEE Computer Society
Pages	241-245
Number of pages	4
ISBN (Print)	0769526306, 9780769526300
DOIs	https://doi.org/10.1109/ISVD.2006.40
Publication status	Published - 2006
Event	3rd International Symposium on Voronoi Diagrams in Science and Engineering 2006, ISVD 2006 - Calgary, AB Duration: 1 Jul 2006 → …

Conference

Conference	3rd International Symposium on Voronoi Diagrams in Science and Engineering 2006, ISVD 2006
City	Calgary, AB
Period	1/07/06 → …

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10.1109/ISVD.2006.40

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Luchnikov, V., Medvedev, N., & Sampson, W. (2006). Voronoi modelling of the void structure in three dimensional and near-planar random fibre networks. In Proceedings - 3rd International Symposium on Voronoi Diagrams in Science and Engineering 2006, ISVD 2006|Proc. Int. Symp. Voronoi Diag. Sci. Eng. (pp. 241-245). IEEE Computer Society . https://doi.org/10.1109/ISVD.2006.40

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title = "Voronoi modelling of the void structure in three dimensional and near-planar random fibre networks",

abstract = "A representation of the porous space of computer models of random fibre networks by Voronoi networks is introduced. The lengths of the pores are determined as the lengths of the Voronoi bonds, and the bottleneck radii as the minimal radii of the Delaunay empty sphere along the bonds. Three dimensional and approximately two dimensional networks are considered and found to exhibit very similar void structures. The distributions of the pore bottlenecks and bond lengths and bond length tortuosities are shown to be well approximated by Normal and half-Normal distributions respectively; the distribution of tortuosities is approximately exponential. {\textcopyright} 2006 IEEE.",

author = "Valeriy Luchnikov and Nikolai Medvedev and William Sampson",

year = "2006",

doi = "10.1109/ISVD.2006.40",

language = "English",

isbn = "0769526306",

pages = "241--245",

booktitle = "Proceedings - 3rd International Symposium on Voronoi Diagrams in Science and Engineering 2006, ISVD 2006|Proc. Int. Symp. Voronoi Diag. Sci. Eng.",

publisher = "IEEE Computer Society ",

address = "United States",

note = "3rd International Symposium on Voronoi Diagrams in Science and Engineering 2006, ISVD 2006 ; Conference date: 01-07-2006",

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Luchnikov, V, Medvedev, N & Sampson, W 2006, Voronoi modelling of the void structure in three dimensional and near-planar random fibre networks. in Proceedings - 3rd International Symposium on Voronoi Diagrams in Science and Engineering 2006, ISVD 2006|Proc. Int. Symp. Voronoi Diag. Sci. Eng.. IEEE Computer Society , Washington, DC, pp. 241-245, 3rd International Symposium on Voronoi Diagrams in Science and Engineering 2006, ISVD 2006, Calgary, AB, 1/07/06. https://doi.org/10.1109/ISVD.2006.40

Voronoi modelling of the void structure in three dimensional and near-planar random fibre networks. / Luchnikov, Valeriy; Medvedev, Nikolai; Sampson, William.
Proceedings - 3rd International Symposium on Voronoi Diagrams in Science and Engineering 2006, ISVD 2006|Proc. Int. Symp. Voronoi Diag. Sci. Eng.. Washington, DC: IEEE Computer Society , 2006. p. 241-245.

Research output: Chapter in Book/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Voronoi modelling of the void structure in three dimensional and near-planar random fibre networks

AU - Luchnikov, Valeriy

AU - Medvedev, Nikolai

AU - Sampson, William

PY - 2006

Y1 - 2006

N2 - A representation of the porous space of computer models of random fibre networks by Voronoi networks is introduced. The lengths of the pores are determined as the lengths of the Voronoi bonds, and the bottleneck radii as the minimal radii of the Delaunay empty sphere along the bonds. Three dimensional and approximately two dimensional networks are considered and found to exhibit very similar void structures. The distributions of the pore bottlenecks and bond lengths and bond length tortuosities are shown to be well approximated by Normal and half-Normal distributions respectively; the distribution of tortuosities is approximately exponential. © 2006 IEEE.

AB - A representation of the porous space of computer models of random fibre networks by Voronoi networks is introduced. The lengths of the pores are determined as the lengths of the Voronoi bonds, and the bottleneck radii as the minimal radii of the Delaunay empty sphere along the bonds. Three dimensional and approximately two dimensional networks are considered and found to exhibit very similar void structures. The distributions of the pore bottlenecks and bond lengths and bond length tortuosities are shown to be well approximated by Normal and half-Normal distributions respectively; the distribution of tortuosities is approximately exponential. © 2006 IEEE.

U2 - 10.1109/ISVD.2006.40

DO - 10.1109/ISVD.2006.40

M3 - Conference contribution

SN - 0769526306

SN - 9780769526300

SP - 241

EP - 245

BT - Proceedings - 3rd International Symposium on Voronoi Diagrams in Science and Engineering 2006, ISVD 2006|Proc. Int. Symp. Voronoi Diag. Sci. Eng.

PB - IEEE Computer Society

CY - Washington, DC

T2 - 3rd International Symposium on Voronoi Diagrams in Science and Engineering 2006, ISVD 2006

Y2 - 1 July 2006

ER -

Voronoi modelling of the void structure in three dimensional and near-planar random fibre networks

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