Constitutive modeling of a paper fiber in cyclic loading applications

Borodulina, Svetlana; Kulachenko, Artem; Tjahjanto, D. D.

doi:10.1016/j.commatsci.2015.08.039

Cited by 31 publications

(15 citation statements)

References 29 publications

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“…However, the subsequent mechanical LC treatment reduced the tangential moduli of the thickwalled BSKP fibers, whereas the tangential moduli of the thin-walled BSKP fibers were slightly improved. Microfibril angle (MFA) has been reported to dictate the elastic moduli of thin-walled (presumably earlywood) and thick-walled (presumably latewood) fibers (Schniewind 1966;Borodulina et al 2015). Therefore, the investigated fibers may also have contained varied microfibril angles.…”

Section: Fiber Tangential Stiffnessmentioning

confidence: 99%

“…Recently, Long and Batchelor (2018) measured bulk fibril angle using X-ray diffraction and the MFA of individual fibers using a confocal microscope and an analyzer crossed with polarization of the incident laser light. Fibers with a high MFA are more extensible than those with a low MFA, although variation at the same MFA can still be large (Page et al 1972;Page and El-Hosseiny 1983;Borodulina et al 2015;Long and Batchelor 2018). Thin-walled earlywood fibers are weaker and less stiff compared to thick-walled latewood fibers.…”

Section: Introductionmentioning

confidence: 99%

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Effect of mechanically induced micro deformations on extensibility and strength of individual softwood pulp fibers and sheets

et al. 2018

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Tensile tests of individual bleached kraft pulp fibers and paper sheets of industrial origin were conducted in order to investigate the effect of refining and small-scale fiber deformations on the extensibility of fibers and paper. The shape of the tensile curves of most of the fibers was concave upward (i.e., increasing slope) and consisted of two or three phases suggesting that the fibrillar structure and disordered regions in the fiber wall were straightened out during straining. Only a few of the individual BSKP fiber tensile curves were apparently linear. Elongation of the individual kraft fibers varied from 8 to 32% and the average elongation was not increased by high consistency refining. Tensile test results of laboratory sheets made of the same BSKP pulp suggested that the fiber bonding not only governs paper strength, but also is highly relevant for the elongation of fiber networks. The key conclusion related to this investigation and freely dried sheets was that the increased network elongation and strength after refining is mainly due to increased inter-fiber bonding and a higher shrinkage tendency of the fiber network and not due to the increased elongation or strength of individual fibers.

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Section: Fiber Tangential Stiffnessmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effect of mechanically induced micro deformations on extensibility and strength of individual softwood pulp fibers and sheets

et al. 2018

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“…In view of the above considerations, a transversely isotropic hygro-elastic constitutive law is used to model the response of an individual fibre [34,35]. Contrary to many works in the literature, where beam or truss approximations are used, the fibres are here considered as fully two dimensional solids.…”

Section: Meso-scale Modelmentioning

confidence: 99%

On the role of moisture in triggering out-of-plane displacement in paper: From the network level to the macroscopic scale

Bosco¹,

Peerlings²,

Lomans³

et al. 2018

International Journal of Solids and Structures

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The response of paper to humidity variations is a complex, inherently multi-scale problem. The hygroscopic swelling of individual fibres and their interactions within the fibrous network govern the macroscopic, sheet-level response. At this scale, moisture induced instabilities and out-of-plane deformations may occur, which are critical for a number of industrial applications. This work specifically focuses on several aspects of this important issue. A macroscopic phenomenological hygro-mechanical model is first proposed, which aims at predicting moisture induced out-of-plane deformations in paper sheets. The constitutive model is based on the relation between these deformations and typical irreversible phenomena associated to the history of paper manufacturing, i.e. the release of dried-in strains. The model is used to describe bending induced by moisture gradients through the thickness of the sheet as well as buckling due to moisture variation in the presence of mechanical constraints. The results of the model show that the anisotropic sheet-level hygro-expansion has a strong influence on the instability phenomena. Moreover, a comparison with experiments provides adequate semiquantitative estimates. An additional step is made towards the multi-scale understanding of paper hygro-mechanics. The fundamental physical mechanisms governing the macroscopic moisture induced response are investigated on the basis of the underlying fibrous network. To this aim, a meso-structural model is developed which consists of a network of fibres randomly positioned in a planar region according to an orientation probability density function. A series of network simulations reveals that upon moisture content variations the expansion of the inter-fibre bonding regions essentially drives the overall deformation. Particularly in the case of anisotropic fibre orientation, this explains the origin of the macro-scale anisotropic hygro-expansion, which is essential for the observed sheet-level instability phenomena.

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“…Meaningfully, it is found that the fibers have a certain helix angle along the longitudinal direction. Borodulina et al established a thin‐walled cylindrical model of a single fiber in combination with cellulose microfibrils. Then the relationship between the fiber's cross‐sectional shape and the longitudinal mechanical properties was studied and analyzed.…”

Section: Introductionmentioning

confidence: 99%

Multi‐scale modelling of the tensile behavior of lithium ion battery cellulose separator

Xie

Liu

Dang

et al. 2019

Polymer International

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As a satisfactory green material for a lithium ion battery separator, cellulose possesses better wettability and superior thermal and chemical stability compared to commercial polyolefin separators. The macroscopic mechanical properties of the separator are determined by structural parameters on different dimensional scales. In this paper, a two-scale modelling method is proposed for a cellulose separator. At micro-scale, a single fiber structural model was established with a cross-sectional profile extracted through image processing, combined with the fiber helix angle. At meso-scale, a representative volumetric element model and a two-dimensional random fibrous model for the fibrous network of the cellulose separator were developed. The elastic modulus in the machining direction (MD) and transverse direction (TD) of the two models were calculated by finite element simulation and compared with experimental data. The results show that the elastic modulus of the models is slightly larger than that from experiments. Compared to experiments, the relative errors in the MD and TD of the representative volumetric element model are 2.80% and 6.78%, respectively. The relative errors in the MD and TD of the two-dimensional random fibrous model are 6.70% and 8.47%, respectively. Consequently, multi-scale modelling is proven to have considerable value in investigating the properties of fibrous materials.

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Constitutive modeling of a paper fiber in cyclic loading applications

Cited by 31 publications

References 29 publications

Effect of mechanically induced micro deformations on extensibility and strength of individual softwood pulp fibers and sheets

Effect of mechanically induced micro deformations on extensibility and strength of individual softwood pulp fibers and sheets

On the role of moisture in triggering out-of-plane displacement in paper: From the network level to the macroscopic scale

Multi‐scale modelling of the tensile behavior of lithium ion battery cellulose separator

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