Hygroexpansivity of anisotropic sheets

Erkkila,

doi:10.3183/npprj-2015-30-02-p326-334

Cited by 4 publications

(4 citation statements)

References 7 publications

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“…Some studies focused on the relation between hygro-expansion and moisture content of paper in order to understand the factors affecting them (Nordman, 1958;Salmen and Olsson, 2014;Uesaka and Qi, 1994). Also, studies on the dimensional stability of paper at the macro-scale were carried out (Page and Tydemann, 1961;Uesaka, 1994;Niskanen, 1998;Niskanen et al, 1997;Larsson and Wagberg, 2008;Erkkila et al, 2015;Bosco et al, 2015b). Several other works were done on studying the hygro-expansion of paper fibres.…”

Section: Introductionmentioning

confidence: 99%

Level Set-Based Extended Finite Element Modeling of the Response of Fibrous Networks Under Hygroscopic Swelling

Samantray

Peerlings

Bosco

et al. 2020

Journal of Applied Mechanics

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Materials like paper, consisting of a network of natural fibres, exposed to variations in moisture, undergo changes in geometrical and mechanical properties. This behaviour is particularly important for understanding the hygro-mechanical response of sheets of paper in applications like digital printing. A two-dimensional microstructural model of a fibrous network is therefore developed to upscale the hygro-expansion of individual fibres, through their interaction, to the resulting overall expansion of the network. The fibres are modelled with rectangular shapes and are assumed to be perfectly bonded where they overlap. For realistic networks the number of bonds is large and the network is geometrically so complex that discretizing it by conventional, geometry-conforming, finite elements is cumbersome. The combination of a level-set and XFEM formalism enables the use of regular, structured grids in order to model the complex microstructural geometry. In this approach, the fibres are described implicitly by a level-set function. In order to represent the fibre boundaries in the fibrous network, an XFEM discretization is used together with a Heaviside enrichment function. Numerical results demonstrate that the proposed approach successfully captures the hygro-expansive properties of the network with fewer degrees of freedom compared to classical FEM, preserving desired accuracy.

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Section: Introductionmentioning

confidence: 99%

Level Set-Based Extended Finite Element Modeling of the Response of Fibrous Networks Under Hygroscopic Swelling

Samantray

Peerlings

Bosco

et al. 2020

Journal of Applied Mechanics

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“…Earlier studies demonstrated that the effective stiffness of the network is mainly dependent on the density of the network, fibre orientations, fibre properties, and of the inter-fibre connectivity resulting from the bonds (Mao et al, 2017;Karakoç et al, 2017;Heyden, 2000;Bergström, 2018;Cox, 1952). It was furthermore revealed that when subjected to moisture changes, the effective hygro-expansivity of the paper network is governed mainly by the bonded regions of the network (Bosco et al, 2015a;Samantray et al, 2021b;Uesaka, 1994;Uesaka and Qi, 1994;Vainio and Paulapuro, 2007;Niskanen, 1998;Larsson and Wågberg, 2008;Erkkila et al, 2015;Nordman, 1958;Salmén et al, 1987;Schulgasser and Page, 1988). In another study (Thorpe et al, 1976), the properties of the bonded fibres were computed from load-displacement measurements.…”

Section: Introductionmentioning

confidence: 99%

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

Samantray

Peerlings

Massart

et al. 2022

International Journal of Solids and Structures

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“…The hygro-expansion of paper has been thoroughly investigated in the literature, mostly through experiments at the macroscopic scale, see e.g. [3,4,5,6,7,8,9]. In these studies, the influence of several features of the fibrous network on the effective response has been analysed, for instance the inter-fibre bonds properties [7,8].…”

Section: Introductionmentioning

confidence: 99%

Hygro-mechanical properties of paper fibrous networks through asymptotic homogenization and comparison with idealized models

Bosco

Peerlings

Geers

2017

Mechanics of Materials

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This paper presents a multi-scale approach to predict the effective hygro-mechanical behaviour of paper sheets based on the properties of the underlying fibrous network. Despite the vast amount of literature on paper hygro-expansion, the functional dependence of the effective material properties on the micro-structural features remains yet unclear. In this work, a micro-structural model of the paper fibrous network is first developed by random deposition of the fibres within a planar region according to an orientation probability density function. Asymptotic homogenization is used to determine its effective properties numerically. Alternatively, two much more idealized micro-structural models are considered, one based on a periodic lattice structure with a regular network of perpendicular fibres and one based on the Voigt average. Despite their simplicity, they reproduce representative micro-structural features, such as the orientation anisotropy and network level hygro-elastic properties. These alternative models can be solved analytically, providing closed-form expressions that explicitly reveal the influence of the individual micro-scale parameters on the effective hygro-mechanical response. The trend predicted by the random network model is captured reasonably well by the two idealized models. The resulting hygro-mechanical properties are finally compared with experimental data reported in the literature, revealing an adequate quantitative agreement. 1

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Hygroexpansivity of anisotropic sheets

Cited by 4 publications

References 7 publications

Level Set-Based Extended Finite Element Modeling of the Response of Fibrous Networks Under Hygroscopic Swelling

Level Set-Based Extended Finite Element Modeling of the Response of Fibrous Networks Under Hygroscopic Swelling

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

Hygro-mechanical properties of paper fibrous networks through asymptotic homogenization and comparison with idealized models

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