Determining the number of fibre-fibre contacts in cardboard samples using tomographic imaging

The fibrous network of cardboard samples was studied with the aid of tomographic imaging. For analysing the samples a method of determing the number of contacts between fibres in a planar fibrous network was introduced. The model is based on the fact that deposited paper-like structures tend to...

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Main Author: Ekman, Axel
Other Authors: Matemaattis-luonnontieteellinen tiedekunta, Faculty of Sciences, Fysiikan laitos, Department of Physics, University of Jyväskylä, Jyväskylän yliopisto
Format: Master's thesis
Language:eng
Published: 2011
Subjects:
Online Access: https://jyx.jyu.fi/handle/123456789/37417
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author Ekman, Axel
author2 Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics University of Jyväskylä Jyväskylän yliopisto
author_facet Ekman, Axel Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics University of Jyväskylä Jyväskylän yliopisto Ekman, Axel Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics University of Jyväskylä Jyväskylän yliopisto
author_sort Ekman, Axel
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description The fibrous network of cardboard samples was studied with the aid of tomographic imaging. For analysing the samples a method of determing the number of contacts between fibres in a planar fibrous network was introduced. The model is based on the fact that deposited paper-like structures tend to have predominantly planar fibre orientation. With this assumption an expression of the mean segment length was derived in terms of the average shortest path along fibres through the sample in the out-of-plane direction. The density profiles of cardboard samples were analysed by determing four quantitative features, the solids content, standard deviation of the solids content, slope and curvature. All the samples had a slope in the same direction, i.e., they were denser at the bottom surfaces. Densification seems to occur at both surfaces, as the curvature was larger for samples with higher solids content. Our measurements indicate that contact densities of the cardboards, i.e., the number of fibre-fibre contacts per unit volume are proportional to the square of the solids content. This is in agreement with earlier models for three-dimensional fibre networks.
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For analysing the samples a method of\r\ndeterming the number of contacts between fibres in a planar\r\nfibrous network was introduced. The model is based on the fact\r\nthat deposited paper-like structures tend to have predominantly\r\nplanar fibre orientation. With this assumption an expression of\r\nthe mean segment length was derived in terms of the average\r\nshortest path along fibres through the sample in the out-of-plane\r\ndirection.\r\n\r\nThe density profiles of cardboard samples were analysed by determing\r\nfour quantitative features, the solids content,\r\nstandard deviation of the solids content, slope and curvature. All\r\nthe samples had a slope in the same direction, i.e., they were denser at the bottom surfaces. 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spellingShingle Ekman, Axel Determining the number of fibre-fibre contacts in cardboard samples using tomographic imaging Fysiikka Physics 4021 fysiikka tomografia kuidut
title Determining the number of fibre-fibre contacts in cardboard samples using tomographic imaging
title_full Determining the number of fibre-fibre contacts in cardboard samples using tomographic imaging
title_fullStr Determining the number of fibre-fibre contacts in cardboard samples using tomographic imaging Determining the number of fibre-fibre contacts in cardboard samples using tomographic imaging
title_full_unstemmed Determining the number of fibre-fibre contacts in cardboard samples using tomographic imaging Determining the number of fibre-fibre contacts in cardboard samples using tomographic imaging
title_short Determining the number of fibre-fibre contacts in cardboard samples using tomographic imaging
title_sort determining the number of fibre fibre contacts in cardboard samples using tomographic imaging
title_txtP Determining the number of fibre-fibre contacts in cardboard samples using tomographic imaging
topic Fysiikka Physics 4021 fysiikka tomografia kuidut
topic_facet 4021 Fysiikka Physics fysiikka kuidut tomografia
url https://jyx.jyu.fi/handle/123456789/37417 http://www.urn.fi/URN:NBN:fi:jyu-201202201224
work_keys_str_mv AT ekmanaxel determiningthenumberoffibrefibrecontactsincardboardsamplesusingtomographicimaging