Role of inter-fibre bonds and their influence on sheet scale behaviour of paper fibre networks

P. Samantray, R.H.J. Peerlings, T.J. Massart, O. Rokoš (Corresponding author), M.G.D. Geers

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Abstract

In fibrous paper materials, an exposure to a variation in moisture content causes changes in the geometrical and mechanical properties. Such changes are strongly affected by the inter-fibre bonds, which are responsible for the transfer of the hygro-mechanical response from one fibre to its neighbours in the network, resulting in sheet-scale deformation. Most models developed in literature assume perfect bonding between fibres. In the 3D reality, there is some flexibility in the bond region, even for the perfectly bonded fibres, because of the possibility of deformation gradients through the fibre thickness. In earlier 2D idealizations, perfectly bonded fibres were assumed, implying full kinematic constraint through the entire thickness of the sheet. The purpose of the present study is to assess the effect of this assumption. Using a homogenization approach, a random network of fibres is generated with different coverages and modelled using finite elements. In order to understand the role of bonding between fibres on the hygro-expansive behaviour of a network, a bond model is developed. In this model, the fibres are modelled using 2D regular bulk finite elements and the bonds are represented by interfacial elements of finite stiffness, which are introduced between each pair of fibres bonded in the network. These embedded interfacial elements form a connection between two respective fibres, allowing relative displacements between their mid-planes. The hygro-elastic response of networks obtained with this bond model is investigated by varying the bond stiffness and the network coverage under the application of mechanical loading and changes in moisture content. Furthermore, the bond model is used to analyse the influence of inter-fibre bonds on the anisotropic response of the paper fibre network.

Original languageEnglish
Article number111990
Number of pages13
JournalInternational Journal of Solids and Structures
Volume256
DOIs
Publication statusPublished - 1 Dec 2022

Bibliographical note

Funding Information:
The first author would like to acknowledge the financial support granted by the European Commission EACEA , grant reference № 2013-0043 , as a part of the EM Joint Doctorate Simulation in Engineering and Entrepreneurship Development (SEED), as well as the financial support granted by the Materials Innovation Institute (M2i), The Netherlands and Canon Production Printing, The Netherlands .

Keywords

  • Coverage
  • Fibrous network
  • Homogenization
  • Hygro-expansion
  • Inter-fibre bond
  • Interfacial elements

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