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A continuum micromechanics approach to the elasticity and strength of planar fiber networks: Theory and application to paper sheets
Vienna University of Technology (TU Wien), Austria.
Graz University of Technology (TU Graz), Austria.
Vienna University of Technology (TU Wien), Austria.
Vienna University of Technology (TU Wien), Austria.
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2019 (English)In: European journal of mechanics. A, Solids, ISSN 0997-7538, E-ISSN 1873-7285, Vol. 75, p. 516-531Article in journal (Refereed) Published
Abstract [en]

2D materials such as planar fibrous networks exhibit several mechanical peculiarities, which we here decipher through a 3D-to-2D transition in the framework of continuum micromechanics or random mean-field homogenization theory. Network-to-fiber concentration (or “downscaling”) tensors are derived from Eshelby-Laws matrix-inclusion problems, specified for infinitely long, infinitely flat fibers, and for infinitely flat spheroidal pores of vanishing stiffness. Overall material failure is associated with microscopic shear failure orthogonal to the fiber direction. Corresponding structure-property relations between porosity on the one hand, and in-plane stiffness as well as strength on the other hand, appear as linear. This is in good agreement with mechanical experiments carried out on pulp fibers, on pulp fiber-to-pulp fiber bonds, and on corresponding paper sheets.

Place, publisher, year, edition, pages
Elsevier, 2019. Vol. 75, p. 516-531
Keywords [en]
Continuum micromechanics; Linear elasticity; Strength; Planar fiber networks; Two-dimensional representation; Wood pulp fiber experiments; Wood pulp fiber-to-wood pulp fiber bond experiments; Wood pulp-based paper sheet experiments
National Category
Building Technologies Paper, Pulp and Fiber Technology
Research subject
Technology (byts ev till Engineering), Civil engineering; Technology (byts ev till Engineering), Forestry and Wood Technology
Identifiers
URN: urn:nbn:se:lnu:diva-78700DOI: 10.1016/j.euromechsol.2018.10.005ISI: 000471361100042Scopus ID: 2-s2.0-85061483302OAI: oai:DiVA.org:lnu-78700DiVA, id: diva2:1261103
Available from: 2018-11-06 Created: 2018-11-06 Last updated: 2019-08-29Bibliographically approved

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Bader, Thomas K.

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  • apa
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  • ieee
  • modern-language-association-8th-edition
  • vancouver
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Language
  • de-DE
  • en-GB
  • en-US
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  • nn-NO
  • nn-NB
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  • Other locale
More languages
Output format
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  • text
  • asciidoc
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