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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
Högskolan Dalarna, 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 (engelsk)Rapport (Annet vitenskapelig)
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. 

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2021.
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URN: urn:nbn:se:du-39425OAI: oai:DiVA.org:du-39425DiVA, id: diva2:1636022
Tilgjengelig fra: 2021-08-16 Laget: 2022-02-08 Sist oppdatert: 2023-03-17bibliografisk kontrollert

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Brandberg, AugustReyier Österling, SofiaKulachenko, Artem

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