The number of contacts in random fibre networks

Axel Ekman (Corresponding Author), Arttu Miettinen, Tuomas Turpeinen, Kaj Backfolk, Jussi Timonen

Research output: Contribution to journalArticleScientificpeer-review

10 Citations (Scopus)

Abstract

We present a method of determining the number of contacts in a planar fibrous network by first determining its average fibre segment length. An analytical expression is derived for the mean fibre segment length in terms of the average shortest path along fibres through the sample in the out-of-plane direction. The model is validated by applying the method to generated fibre networks, for which the segment lengths are known. Both the theoretical and experimental results show that the contact density is essentially proportional to the square of the solid content with a prefactor that depends only on the geometry of the fibres. The method is also tested on physical samples of cardboard, which were imaged with high resolution micro X-ray computed tomography. The results of the cardboards show similar behaviour as the generated fibre networks.
Original languageEnglish
Pages (from-to)270-276
JournalNordic Pulp and Paper Research Journal
Volume27
Issue number2
DOIs
Publication statusPublished - Jun 2012
MoE publication typeNot Eligible

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cardboard
Fibers
computed tomography
X-radiation
methodology
sampling
tomography
Tomography
fibre
geometry
X rays
Geometry
method

Cite this

Ekman, Axel ; Miettinen, Arttu ; Turpeinen, Tuomas ; Backfolk, Kaj ; Timonen, Jussi. / The number of contacts in random fibre networks. In: Nordic Pulp and Paper Research Journal. 2012 ; Vol. 27, No. 2. pp. 270-276.
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The number of contacts in random fibre networks. / Ekman, Axel (Corresponding Author); Miettinen, Arttu; Turpeinen, Tuomas; Backfolk, Kaj; Timonen, Jussi.

In: Nordic Pulp and Paper Research Journal, Vol. 27, No. 2, 06.2012, p. 270-276.

Research output: Contribution to journalArticleScientificpeer-review

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AU - Miettinen, Arttu

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