A continuum micromechanics approach to the elasticity and strength of planar fiber networks: Theory and application to paper sheets

Pedro Miguel J.S. Godinho, Marina Jajcinovic, Leopold Wagner, Viktoria Vass, Wolfgang J. Fischer, Thomas K. Bader, Ulrich Hirn, Wolfgang Bauer, Josef Eberhardsteiner, Christian Hellmich

Publikation: Beitrag in einer FachzeitschriftArtikelForschungBegutachtung

Abstract

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.

Originalspracheenglisch
Seiten (von - bis)516-531
Seitenumfang16
FachzeitschriftEuropean Journal of Mechanics, A/Solids
Jahrgang75
DOIs
PublikationsstatusVeröffentlicht - 1 Mai 2019

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micromechanics
Micromechanics
Circuit theory
Elasticity
elastic properties
continuums
fibers
Fibers
Pulp
stiffness
Stiffness
porosity
homogenizing
Tensors
Porosity
inclusions
tensors
shear
matrices
Experiments

Schlagwörter

    ASJC Scopus subject areas

    • !!Materials Science(all)
    • !!Mechanics of Materials
    • !!Mechanical Engineering
    • !!Physics and Astronomy(all)

    Fields of Expertise

    • Advanced Materials Science

    Dies zitieren

    A continuum micromechanics approach to the elasticity and strength of planar fiber networks : Theory and application to paper sheets. / Godinho, Pedro Miguel J.S.; Jajcinovic, Marina; Wagner, Leopold; Vass, Viktoria; Fischer, Wolfgang J.; Bader, Thomas K.; Hirn, Ulrich; Bauer, Wolfgang; Eberhardsteiner, Josef; Hellmich, Christian.

    in: European Journal of Mechanics, A/Solids, Jahrgang 75, 01.05.2019, S. 516-531.

    Publikation: Beitrag in einer FachzeitschriftArtikelForschungBegutachtung

    Godinho, Pedro Miguel J.S. ; Jajcinovic, Marina ; Wagner, Leopold ; Vass, Viktoria ; Fischer, Wolfgang J. ; Bader, Thomas K. ; Hirn, Ulrich ; Bauer, Wolfgang ; Eberhardsteiner, Josef ; Hellmich, Christian. / A continuum micromechanics approach to the elasticity and strength of planar fiber networks : Theory and application to paper sheets. in: European Journal of Mechanics, A/Solids. 2019 ; Jahrgang 75. S. 516-531.
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    abstract = "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.",
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    AU - Jajcinovic, Marina

    AU - Wagner, Leopold

    AU - Vass, Viktoria

    AU - Fischer, Wolfgang J.

    AU - Bader, Thomas K.

    AU - Hirn, Ulrich

    AU - Bauer, Wolfgang

    AU - Eberhardsteiner, Josef

    AU - Hellmich, Christian

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    KW - Continuum micromechanics

    KW - Linear elasticity

    KW - Planar fiber networks

    KW - Strength

    KW - Two-dimensional representation

    KW - Wood pulp fiber experiments

    KW - Wood pulp fiber-to-wood pulp fiber bond experiments

    KW - Wood pulp-based paper sheet experiments

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