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  • 1.
    Godinho, Pedro Miguel J.S.
    et al.
    Vienna University of Technology (TU Wien), Austria.
    Jajcinovic, Marina
    Graz University of Technology (TU Graz), Austria.
    Wagner, Leopold
    Vienna University of Technology (TU Wien), Austria.
    Vass, Viktoria
    Vienna University of Technology (TU Wien), Austria.
    Fischer, Wolfgang
    Graz University of Technology (TU Graz), Austria.
    Bader, Thomas K.
    Linnaeus University, Faculty of Technology, Department of Building Technology.
    Hirn, Ulrich
    Graz University of Technology (TU Graz), Austria.
    Bauer, Wolfgang
    Graz University of Technology (TU Graz), Austria.
    Eberhardsteiner, Josef
    Vienna University of Technology (TU Wien), Austria.
    Hellmich, Christian
    Vienna University of Technology (TU Wien), Austria.
    A continuum micromechanics approach to the elasticity and strength of planar fiber networks: Theory and application to paper sheets2019In: European journal of mechanics. A, Solids, ISSN 0997-7538, E-ISSN 1873-7285, Vol. 75, p. 516-531Article in journal (Refereed)
    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.

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