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Uniaxial Compression of Three-Dimensional Entangled Fibre Networks: Impacts of Contact Interactions
Mid Sweden University, Faculty of Science, Technology and Media, Department of Chemical Engineering. Uppsala university, Uppsala.
Mid Sweden University, Faculty of Science, Technology and Media, Department of Chemical Engineering.
Mid Sweden University, Faculty of Science, Technology and Media, Department of Chemical Engineering.
2019 (English)In: Modelling and Simulation in Materials Science and Engineering, ISSN 0965-0393, E-ISSN 1361-651X, Vol. 27, no 1, article id 015006Article in journal (Other academic) Published
Abstract [en]

This paper concerns uniaxial compression of anisotropic fibre network, as typically seen in the end use of nonwoven and textile fibre assemblies. The constitutive relationship and deformation mechanism have been investigated by using a bead-model to represent the complex structures of the constituent fibres and the fibre networks. The compression stress shows a power-law dependency on the density with a threshold density for both experimental and numerical fibre networks. Unlike the widely studied tri-axial compression of the initially isotropic network, it was found that the contact interaction between the fibres, especially the fibre-fibre contact stiffness (or the transverse compression properties of fibres), has a large impact on all the constitutive parameters. In particular, the exponent values computed based on the softer contact stiffnesses agreed very well with the experimental values reported in the literature. The internal deformation mechanism was similar to the earlier studies that at low compression, the deformation is dominated by the low-energy-mode deformations (i.e. bending and shear), whereas at higher compression, the difference appears: the compression of fibre-fibre contacts, instead of the deformation in the fibre axial direction, takes over.

Place, publisher, year, edition, pages
2019. Vol. 27, no 1, article id 015006
Keywords [en]
uniaxial compression, deformation mechanics, fibre network, cellulose, polymer, DEM model of fibre network
National Category
Chemical Engineering
Identifiers
URN: urn:nbn:se:miun:diva-34638DOI: 10.1088/1361-651X/aaf1edISI: 000453313600001Scopus ID: 2-s2.0-85064092365OAI: oai:DiVA.org:miun-34638DiVA, id: diva2:1253631
Available from: 2018-10-05 Created: 2018-10-05 Last updated: 2019-05-24Bibliographically approved
In thesis
1. Modelling Mechanics of Fibre Network using Discrete Element Method
Open this publication in new window or tab >>Modelling Mechanics of Fibre Network using Discrete Element Method
2018 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

Low-density fibre networks are a fundamental structural framework of everyday hygiene products, such as baby diapers, incontinence and feminine care products, bathroom tissue and kitchen towels. These networks are a random assembly of fibres, loosely bonded and oriented in the plane direction.

Designing such a complex network structure for better performance, better use of materials and lower cost is a constant challenge for product designers, requiring in-depth knowledge and understanding of the structure and properties on the particle (fibre) level.

This thesis concerns the development of a computational design platform that will generate low-density fibre networks and test their properties, seamlessly, with the aim to deepening the fundamental understanding of the micromechanics of this class of fibre networks.

To achieve this goal, we have used a particle-based method, the Discrete Element Method (DEM), to model the fibres and fibre networks. A fibre is modelled as a series of linked beads, so that one can consider both its axial properties (stretching and bending) and transverse properties (shearing,twisting and transverse compression). For manufacturing simulations, we developed the models for depositing fibres to form a fibre network, consolidating the fibre network, compressing to make a 3D-structured network, and creating creping. For testing the end-use performance, we have developed two models and investigated the micromechanics of the fibre network in uniaxial compression in the thickness direction (ZD) and in uniaxial tension in the in-plane direction.

In the ZD-uniaxial compression of entangled (unbonded) fibrenetworks, the compression stress exhibits a power-law relationship with density, with a threshold density. During compression, the fibre deformation mode changed from fibre bending to the transverse compression of fibre. Accordingly, the transverse properties of the fibreshad a large impact on the constitutive relation. By considering a realistic value for the transverse fibre property, we were able to predict the valuesof the exponent widely observed in the experimental literature. We havefound that the deviation of the experimental values from those predictions by the earlier theoretical studies is due to the neglect of the transverse fibre property.

For tensile properties of bonded networks, we have investigated scaling of network strength with density and fibre–fibre bond strength. The network strength showed beautiful scaling behaviour with both density and bond strength, with exponents 1.88 and 1.08 respectively. The elastic modulus of the network, on the other hand, showed a changing exponent(from 2.16 to 1.69) with density in accordance with previous results in the literature. We have also reconfirmed that, with increasing density, the deformation mode changes from bending to stretching. The predicted results for both elastic modulus and strength agreed very well with experimental data of fibre networks of varying densities reported in the literature.

We have developed a computational platform, based on DEM, for accurately modelling a fibre network from its manufacturing process to product properties. This is a tool that allows a versatile design of materials and products used for hygiene products, providing a promising venue for exploring the parameter space of new material and process design.

Place, publisher, year, edition, pages
Sundsvall: Mid Sweden University, 2018. p. 30
Series
Mid Sweden University licentiate thesis, ISSN 1652-8948 ; 144
National Category
Chemical Engineering
Identifiers
urn:nbn:se:miun:diva-34640 (URN)978-91-88527-64-6 (ISBN)
Presentation
2018-10-24, O111, Sundsvall, 13:00 (English)
Supervisors
Note

Vid tidpunkten för framläggningen av avhandlingen var följande delarbeten opublicerade: delarbete 2 och 3 (manuskript).

At the time of the defence the following papers were unpublished: paper 2 and 3 (manuscript).

Available from: 2018-10-05 Created: 2018-10-05 Last updated: 2018-10-05Bibliographically approved

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Hossain, ShakhawathBergström, PerUesaka, Tetsu

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