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Characterization and impact of fiber size variability on the mechanical properties of fiber networks with an application to paper materials
KTH, Farkostteknik och Solidmekanik.ORCID iD: 0000-0001-5580-5023
Dalarna University, Verksamhetsstödet.ORCID iD: 0000-0002-7674-8862
KTH, Farkostteknik och Solidmekanik.ORCID iD: 0000-0003-3611-2250
Graz University of Technology.ORCID iD: 0000-0002-1376-9076
2021 (English)Report (Other academic)
Abstract [en]

    Cellulose fibers exhibit a wide range of shapes and sizes. This variation influences the mechanical performance of paper and paperboard by affecting the stress distribution inside the network and the degree of fiber-to-fiber bonding which is possible at a given density. However, the methods used to characterize the distribution of fiber sizes in the pulp neglect that the characteristic features of a fiber are generally not independent.

    Here, we resolve this shortcoming by fitting the fiber population to a multivariate distribution without enforcing normality or independence between the properties. The high-dimensional multivariate function is recast as a set of univariate distribution functions and a series of bivariate distributions connected by a canonical vine. 

    Using a micro-mechanical model of a paper sheet the influence of this improved characterization is investigated. Reasonable margins and a description of the dependency is shown to be superior to assuming independence even for perfectly preserved marginal distributions. This result demonstrates that micro-mechanical models of paper and paperboard cannot by assumption neglect the influence of the interdependence between the characteristic features of fibers. 

Place, publisher, year, edition, pages
2021.
National Category
Paper, Pulp and Fiber Technology
Identifiers
URN: urn:nbn:se:du-39425OAI: oai:DiVA.org:du-39425DiVA, id: diva2:1636022
Available from: 2021-08-16 Created: 2022-02-08 Last updated: 2023-03-17Bibliographically approved

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Brandberg, AugustReyier Österling, SofiaKulachenko, Artem

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Brandberg, AugustReyier Österling, SofiaKulachenko, ArtemHirn, Ulrich
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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • chicago-author-date
  • chicago-note-bibliography
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf