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Hygro-mechanical properties of paper fibrous networks through asymptotic homogenization and comparison with idealized models
- Source :
- Mechanics of Materials, 108, 11-20. Elsevier
- Publication Year :
- 2016
-
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.
- Subjects :
- Paper
Work (thermodynamics)
Materials science
Structure (category theory)
FOS: Physical sciences
Probability density function
02 engineering and technology
Condensed Matter - Soft Condensed Matter
Planar
0203 mechanical engineering
Hygro-mechanical properties
General Materials Science
Statistical physics
Composite material
Anisotropy
Instrumentation
Condensed Matter - Materials Science
Orientation (computer vision)
Materials Science (cond-mat.mtrl-sci)
021001 nanoscience & nanotechnology
Asymptotic homogenization
020303 mechanical engineering & transports
Multi-scale models
Mechanics of Materials
Fibrous network
Soft Condensed Matter (cond-mat.soft)
0210 nano-technology
Material properties
Subjects
Details
- Language :
- English
- ISSN :
- 01676636
- Database :
- OpenAIRE
- Journal :
- Mechanics of Materials, 108, 11-20. Elsevier
- Accession number :
- edsair.doi.dedup.....5d70ab4e29b720a7c68ba3ea36abf15c