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Hygro-mechanical properties of paper fibrous networks through asymptotic homogenization and comparison with idealized models.
- Source :
-
Mechanics of Materials . May2017, Vol. 108, p11-20. 10p. - Publication Year :
- 2017
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *PAPER testing
*HYGROMETRY
*MICROSTRUCTURE
*ELASTICITY
*MICROFIBERS
Subjects
Details
- Language :
- English
- ISSN :
- 01676636
- Volume :
- 108
- Database :
- Academic Search Index
- Journal :
- Mechanics of Materials
- Publication Type :
- Academic Journal
- Accession number :
- 122241969
- Full Text :
- https://doi.org/10.1016/j.mechmat.2017.01.013