Influence mechanism of paper mechanical properties: numerical simulation and experimental verification based on a fiber network
Abstract
Paper is a kind of renewable material that exists widely and has important application prospects. However, previous studies have mostly focused on the macromechanical properties of paper but lack micro theory based on paper fiber networks. We present a comprehensive experimental and computational study on the mechanical properties of fibers and fiber networks under the influence of microstructure. A beam-spring model was established based on a beam-fiber network to simulate the behavior of fiber networks. Simulations were performed to demonstrate the influence of fiber microstructural parameters such as fiber bond strength, stiffness, failure strength, size, and network density on mechanical features. Mechanical experiments verified that the fiber bond strength had a greater influence on the paper properties than did the fiber strength. This result is highly consistent with that of the model. All the simulations were validated by experimental measurements. Finally, we provided computational insights into the interfiber bond damage pattern with respect to different fiber microlevels and demonstrated that the proposed beam-spring model can be used to predict the response of fiber networks of paper materials. The above research can be used to optimize the formulation, process, and treatment of paper to meet specific application needs.
Funding source: National Key Research and Development Program
Award Identifier / Grant number: 2022YFD2100305
Funding source: Jiangsu Provincial Key Laboratory of Food Advanced Manufacturing Equipment Technology
Award Identifier / Grant number: FMZ201905
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Research ethics: This work does not contain any studies with human participants or animals performed by any of the authors.
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Author contributions: All authors contributed to the study conception and design. Material preparation was performed by Y.L. Wang and H.J. Li. Sample testing, data collection and model simulation were conducted by Y.L. Wang and W.L. Zhang. Simulation guidance was provided by Y.F. Zhu. The results analysis and summary were completed by H. Sun and L.J. Wei. The first draft of the manuscript was written by Y.L. Wang and H.J. Li. The revision of the manuscript was completed by Y.L. Wang and W.Wang. All authors commented on previous versions of the manuscript and read and approved the final manuscript.
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Competing interests: The authors declare that they have no conflicts of interest.
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Research funding: This work was supported by the Jiangsu Provincial Key Laboratory of Food Advanced Manufacturing Equipment Technology (FMZ201905) and the National Key Research and Development Program (2022YFD2100305).
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Data availability: The raw data can be obtained on request from the corresponding author.
References
Astrom, J.A. and Niskanen, K.J. (1993). Symmetry-breaking fracture in random fibre networks. Europhys. Lett. 21: 557–562, https://doi.org/10.1209/0295-5075/21/5/009.Search in Google Scholar
Bian, L., Chen, L., and Gao, M. (2020). Stress distribution analysis and interface influence on fiber reinforced composites. Mech. Mater. 146: 103400, https://doi.org/10.1016/j.mechmat.2020.103400.Search in Google Scholar
Borodulina, S., Kulachenko, A., Nygårds, M., and Galland, S. (2012). Stress‒strain curve of paper revisited. Nord. pulp Pap. Res. J 27: 318–328, https://doi.org/10.3183/npprj-2012-27-02-p318-328.Search in Google Scholar
Borodulina, S., Motamedian, H.R., and Kulachenko, A. (2018). Effect of fiber and bond strength variations on the tensile stiffness and strength of fiber networks. Int. J. Solids Struct. 154: 19–32, https://doi.org/10.1016/j.ijsolstr.2016.12.013.Search in Google Scholar
Cao, S.P., Wang, G., Yu, Y., Cheng, H.T., and Chen, H. (2010). Comparison of mechanical properties of single fiber of several plants. J Nanjing For Univ (Nat Sci Ed) 34: 87–90.Search in Google Scholar
Czibula, C., Brandberg, A., Cordill, M.J., Matković, A., Glushko, O., Czibula, C., Kulachenko, A., Teichert, C., and Hirn, U. (2021). The transverse and longitudinal elastic constants of pulp fibers in paper sheets. Sci. Rep. 11: 22411, https://doi.org/10.1038/s41598-021-01515-9.Search in Google Scholar PubMed PubMed Central
Eder, M., Arnould, O., Dunlop, J.W., Hornatowska, J., and Salmén, L. (2013). Experimental micromechanical characterisation of wood cell walls. Wood Sci. Technol. 47: 163–182, https://doi.org/10.1007/s00226-012-0515-6.Search in Google Scholar
Fletcher, D. and Mullins, R. (2010). Cell mechanics and the cytoskeleton. Nature 463: 485–492, https://doi.org/10.1038/nature08908.Search in Google Scholar PubMed PubMed Central
Hirn, U. and Schennach, R. (2017) Advances in pulp and paper research. In: Batchelor, W., and Söderberg, D. (Eds.). Fiber-fiber bond Formation and failure: Mechanisms and analytical techniques. Oxford, Manchester, pp. 839–863.10.15376/frc.2017.2.839Search in Google Scholar
Hirn, U. and Schennach, R. (2015). Comprehensive analysis of individual pulp fiber bonds quantifies the mechanisms of fiber bonding in paper. Sci. Rep. 5: 10503, https://doi.org/10.1038/srep10503.Search in Google Scholar PubMed PubMed Central
Kouko, J., Turpeinen, T., Kulachenko, A., Hirn, U., and Retulainen, E. (2020). Understanding extensibility of paper: role of fiber elongation and fiber bonding. Tappi J. 19: 125–135, https://doi.org/10.32964/tj19.3.125.Search in Google Scholar
Kulachenko, A. and Uesaka, T. (2012). Direct simulations of fiber network deformation and failure. Mech. Mater. 51: 1–14, https://doi.org/10.1016/j.mechmat.2012.03.010.Search in Google Scholar
Larsson, P.T., Lindström, T., Carlsson, L.A., and Fellers, C. (2018). Fiber length and bonding effects on tensile strength and toughness of kraft paper. J. Mater. Sci. 53: 3006–3015, https://doi.org/10.1007/s10853-017-1683-4.Search in Google Scholar
Lee, B., Zhou, X., Riching, K., Eliceiri, K.W., Keely, P.J., Guelcher, S.A., Weaver, A.M., and Jiang, Y. (2014). A three-dimensional computational model of collagen network mechanics. PLoS ONE 9: e111896, https://doi.org/10.1371/journal.pone.0111896.Search in Google Scholar PubMed PubMed Central
Li, X.G., Zheng, X., and Wu, Y.Q. (2012). Effect of alkali treatment on mechanical properties of old newspaper fiber/polylactic acid composite. Trans China Pulp Pap. 27: 48–51.Search in Google Scholar
Lin, B., Auernhammer, J., Schaefer, J.L., Meckel, T., Stark, R., Biesalski, M., and Xu, B.X. (2022). Humidity influence on mechanics of paper materials: joint numerical and experimental study on fiber and fiber network scale. Cellulose 29: 1129–1148, https://doi.org/10.1007/s10570-021-04355-y.Search in Google Scholar
Liu, J.X., Chen, Z.T., Wang, H., and Li, K.C. (2011). Elasto-plastic analysis of influences of bond deformability on the mechanical behavior of fiber networks. Theor Appl Fract Mech 55: 131–139, https://doi.org/10.1016/j.tafmec.2011.04.003.Search in Google Scholar
Ma, Y.H. (2016). The mechanical Properties of a three-dimensional stochastic fibrous Network with cross-linking. Cardiff University, Dissertation.Search in Google Scholar
Magnusson, M. (2016). Investigation of interfibre joint failure and how to tailor their properties for paper strength. Nord. pulp Pap. Res. J 31: 109–122, https://doi.org/10.3183/npprj-2016-31-01-p109-122.Search in Google Scholar
Magnusson, M.S., Fischer, W.J., Östlund, S., and Hirn, U. (2013). Interfibre joint strength under peeling, shearing and tearing types of loading. Adv Pulp Pap Res: 103–124.Search in Google Scholar
Magnusson, M., Zhang, X., and Östlund, S. (2013). Experimental evaluation of the interfibre joint strength of papermaking fibres in terms of manufacturing parameters and in two different loading directions. Exp. Mech. 53: 1621–1634, https://doi.org/10.1007/s11340-013-9757-y.Search in Google Scholar
Mansour, R., Kulachenko, A., Chen, W., and Olsson, M. (2019). Stochastic constitutive model of isotropic thin fiber networks based on stochastic volume elements. Materials 12: 538, https://doi.org/10.3390/ma12030538.Search in Google Scholar PubMed PubMed Central
Martínez-Hergueta, F., Ridruejo, A., González, C., and Llorca, J. (2015). Deformation and energy dissipation mechanisms of needle-punched nonwoven fabrics: a multiscale experimental analysis. Int. J. Solids Struct. 64: 120–131, https://doi.org/10.1016/j.ijsolstr.2015.03.018.Search in Google Scholar
Mohammadi-Khoo, S., Moghadam, P.N., Fareghi, A.R., and Movagharnezhad, N. (2016). Synthesis of a cellulose-based hydrogel network: characterization and study of urea fertilizer slow release. J. Appl. Polym. Sci. 133: 42935–42942, https://doi.org/10.1002/app.42935.Search in Google Scholar
Ravandi, M., Teo, W.S., Yong, M.S., and Tay, T.E. (2018). Prediction of Mode I interlaminar fracture toughness of stitched flax fiber composites. J. Mater. Sci. 53: 4173–4188, https://doi.org/10.1007/s10853-017-1859-y.Search in Google Scholar
Schmied, F.J., Teichert, C., Kappel, L., Hirn, U., Bauer, W., and Schennach, R. (2013). What holds paper together: nanometre scale exploration of bonding between paper fibres. Sci. Rep. 3: 2432, https://doi.org/10.1038/srep02432.Search in Google Scholar PubMed PubMed Central
Seidlhofer, T., Czibula, C., Teichert, C., Payerl, C., Hirn, U., and Ulz, M.H. (2019). A minimal continuum representation of a transverse isotropic viscoelastic pulp fibre based on micromechanical measurements. Mech. Mater. 135: 149–161, https://doi.org/10.1016/j.mechmat.2019.04.012.Search in Google Scholar
Taylor, L., Phipps, J., Blackburn, S., Greenwood, R., and Skuse, D. (2020). Using fibre property measurements to predict the tensile index of microfibrillated cellulose nanopaper. Cellulose 27: 6149–6162, https://doi.org/10.1007/s10570-020-03226-2.Search in Google Scholar
Tian, G.L. (2015). Study on the main factors Affecting the mechanical properties of bamboo fiber, Dissertation, CNKI Doctoral Electronic Journal, China Academy of Forestry Sciences.Search in Google Scholar
Tojaga, V., Kulachenko, A., Östlund, S., and Gasser, T.C. (2021). Modeling multi-fracturing fibers in fiber networks using elastoplastic Timoshenko beam finite elements with embedded strong discontinuities—formulation and staggered algorithm. Comput. Method. Appl. Mech. Eng. 384: 113964–113982, https://doi.org/10.1016/j.cma.2021.113964.Search in Google Scholar
Vilho, R., Mikko, J.A., and Risto, M.N. (1996). Elastic‒plastic behavior in fibre networks. Nord. Pulp Pap. Res. J. 11: 243–248.10.3183/npprj-1996-11-04-p243-248Search in Google Scholar
Villette, F., Rolland du Roscoat, S., Dufour, F., Bloch, J.F., Baroth, J., and Carré, B. (2022). Toward the link between structural and mechanical properties of fiber aggregates in paper materials. J. Mater. Sci. 57: 7587–7599, https://doi.org/10.1007/s10853-022-07098-8.Search in Google Scholar
Wilbrink, D.V., Beex, L.A.A., and Peerlings, R.H.J. (2013). A discrete network model for bond failure and frictional sliding in fibrous materials. Int. J. Solids Struct. 50: 1354–1363, https://doi.org/10.1016/j.ijsolstr.2013.01.012.Search in Google Scholar
Wohlert, M., Benselfelt, T., Wågberg, L., Furó, I., Berglund, L.A., and Wohlert, J. (2022). Cellulose and the role of hydrogen bonds: not in charge of everything. Cellulose 29: 1–23, https://doi.org/10.1007/s10570-021-04325-4.Search in Google Scholar
Yang, W.C., Ma, Y., Zhang, F., Yi, X.S., Zhao, L.B., and Chen, Y.L. (2022). Failure mechanism of hybrid fiber network. Acta Mater. Compos. Sin. 39: 4471–4482.Search in Google Scholar
Zhao, J.X., Guo, Y.F., Wang, Z., Fu, Y.G., Li, Y., and Gao, T.M. (2020). Effect of relative humidity and holes on the compressive strength of paper honeycomb core. Trans. China Pulp Pap. 35: 39–46.Search in Google Scholar
Zhao, Y.F., Yuan, J.M., and Fei, Y.Q. (2015). Preparation and characterization of carbon fiber network reinforced epoxy resin matrix composites. Acta Mater. Compos. Sin. 32: 1611–1617.Search in Google Scholar
Supplementary Material
This article contains supplementary material (https://doi.org/10.1515/npprj-2024-0021).
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Articles in the same Issue
- Frontmatter
- Chemical Pulping
- Evaluation of oxygen delignified fibers with high water absorbency, as a greener alternative to fully bleached fibers for tissue paper
- Effects of partial lignin extraction on rheological characteristics and combustion performance of high solids bamboo kraft black liquor
- A preliminary investigation of banana pseudo-stem (Musa cavendish) for pulp and paper production: morphology, chemical composition, FTIR, XRD and thermogravimetric analysis
- Sodium carbonate pulping of oil palm empty fruit bunches for paperboard production
- Mechanical Pulping
- Development of fibre properties in mill scale: high- and low consistency refining of thermomechanical pulp (part 2) – Importance of fibre curl
- Paper Technology
- Multi-objective optimization design of a circular core paper sandwich panel
- Paper Physics
- Effects of xylan-modified precipitated calcium carbonate filler on the properties of paper
- Influence mechanism of paper mechanical properties: numerical simulation and experimental verification based on a fiber network
- Enhancing the strength of tissue paper through pulp fractionation and stratified forming
- Paper Chemistry
- Effects of surfactants on the wettability of sodium propionate aqueous deacidification agent
- Coating
- Biobased nanocomposite coating of paper for packaging
- Printing
- Improving the lightfastness of paperboard prints with pearlescent pigments
- Packaging
- Preparation of environmentally friendly hydrophobic paper by coating method
- Recycling
- Hybrid solar drying of sludge from kraft pulp mills
- Chemical Technology/Modifications
- Effect of pre-hydrolysis on the dissolution of hardwood pulp in double salt ionic liquid
- Lignin
- Comparison of three different industrial lignin-based porous carbon electrodes for electrochemical applications
- UV–vis spectroscopy as a rapid method for evaluation of total phenolic hydroxyl structures in lignin
- Miscellaneous
- Paper fingerprint by forming fabric: analysis of periodic marks with 2D lab formation sensor and machine learning for forensic paper-identification