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Toward the link between structural and mechanical properties of fiber aggregates in paper materials

  • Composites & nanocomposites
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Abstract

Mechanical properties of fiber-based materials, such as paper, are governed by the heterogeneous microstructure induced by the formation process. For example, in paper materials during tensile tests, lower strains are observed in the flocs (fiber aggregates where the basis weight is larger than the average one) than in the antiflocs (complement of flocs). To explain such behavior, we investigated the mechanical and structural properties of both flocs and antiflocs. Using tensile tests on flocs and antiflocs, we measured their elastic modulus and found that the elastic modulus of flocs was larger than the antiflocs’ one. To understand these differences, a multiscale structural analysis was conducted on 3D X-ray images of flocs and antiflocs at two different spatial resolutions. We found that the floc was thicker than the antifloc, whereas the microscale analysis showed the studied floc and antifloc exhibited the same bulk porosity. Then, it was concluded that the difference in elastic modulus between flocs and antiflocs is mainly due to their thickness difference.

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References

  1. Krasnoshlyk V, Rolland du Roscoat S, Dumont PJJ et al (2018) Three-dimensional visualization and quantification of the fracture mechanisms in sparse fibre networks using multiscale X-ray microtomography. R Soc. https://doi.org/10.1098/rspa.2018.0175

    Article  Google Scholar 

  2. Sampson WW (2001) The structural characterization of fibre networks in papermaking processes—a review. In:11th Fundamental research symposium 1205–1288

  3. Farnood RR, Dodson CTJ, Loewen SR (1995) Modeling flocculation, part I, random disk model. J Pulp Pap Sci 21:348–355

    Google Scholar 

  4. Dodson CTJ, Sampson WW (1996) The effect of paper formation and grammage on its pore size distribution. J Pulp Pap Sci 22:J165–J169

    Google Scholar 

  5. Sara H (1978) The characterization and measurement of paper formation with standard deviation and power spectrum. Doctoral thesis: Helsinki University

  6. Deng M, Dodson CTJ (1994) Random star patterns and paper formation. TAPPI 77:195–199

    Google Scholar 

  7. Alava M, Niskanen K (2006) The physics of paper. Reports Prog Phys 69:669–723. https://doi.org/10.1088/0034-4885/69/3/R03

    Article  Google Scholar 

  8. Niskanen K (2012) Mechanics of paper products

  9. Thorpe JL (1981) Paper as an orthotropic thin plate. TAPPI 64:119

    Google Scholar 

  10. Korteoja M, Lukkarinen A, Kaski K (1997) Computational study of formation effects on paper strength. J Pulp Pap Sci 23:18

    Google Scholar 

  11. Alexander SD, Marton R (1968) Effect of beating and wet pressing on fiber and sheet properties. II Sheet properties TAPPI 51:283–288

    CAS  Google Scholar 

  12. Luner P, Kärnä AE, Donofrio C (1961) Studies in interfiber bonding of paper. TAPPI 44:409

    CAS  Google Scholar 

  13. Mohlin UB (1992) Influence of grammage on sheet strength properties. In: progress paper physics seminar Otaniemi, Finland, 12

  14. Rolland du Roscoat S, Decain M, Thibault X et al (2007) Estimation of microstructural properties from synchrotron X-ray microtomography and determination of the REV in paper materials. Acta Mater 55:2841–2850. https://doi.org/10.1016/j.actamat.2006.11.050

    Article  CAS  Google Scholar 

  15. I’Anson SJ, Sampson WW (2007) Competing Weibull and stress-transfer influences on the specific tensile strength of a bonded fibrous network. Compos Sci Technol 67:1650–1658. https://doi.org/10.1016/j.compscitech.2006.07.002

    Article  CAS  Google Scholar 

  16. I’Anson SJ, Sampson WW, Savani S (2008) Density dependent influence of grammage on tensile properties of handsheets. J Pulp Pap Sci 34:182–189

    Google Scholar 

  17. Wong L, Kortschot MT, Dodson CT (1996) Effect of formation on local strain fields and fracture of paper. J Pulp Pap Sci 22:213–219

    Google Scholar 

  18. Hagman A, Nygårds M (2017) Thermographical analysis of paper during tensile testing and comparison to digital image correlation. Exp Mech 57:325–339. https://doi.org/10.1007/s11340-016-0240-4

    Article  CAS  Google Scholar 

  19. Krasnoshlyk V, Rolland du Roscoat S, Dumont PJJ, Isaksson P (2018) Influence of the local mass density variation on the fracture behavior of fiber network materials. Int J Solids Struct 138:236–244. https://doi.org/10.1016/j.ijsolstr.2018.01.016

    Article  Google Scholar 

  20. Alzweighi M, Mansour R, Lahti J et al (2021) The influence of structural variations on the constitutive response and strain variations in thin fibrous materials. Acta Mater 203:116–460. https://doi.org/10.1016/j.actamat.2020.11.003

    Article  Google Scholar 

  21. Yan H, Norman B, Lindström T, Ankerfors M (2006) Fibre length effect on fibre suspension flocculation and sheet formation. Nord Pulp Pap Res J 21:30–35. https://doi.org/10.3183/npprj-2006-21-01-p030-035

    Article  CAS  Google Scholar 

  22. Moral A, Monte MC, Cabeza E, Blanco A (2010) Morphological characterization of pulps to control paper properties. Cellul Chem Technol 44:473–480

    CAS  Google Scholar 

  23. Svensson S, Aronsson M (2003) Using distance transform based algorithms for extracting measures of the fiber network in volume images of paper. IEEE Trans Syst Man Cybern Part B Cybern 33:562–571. https://doi.org/10.1109/TSMCB.2003.814296

    Article  CAS  Google Scholar 

  24. Sternberg SR (1983) Biomedical image processing. IEEE Comput 16:22–34. https://doi.org/10.4018/jhisi.2012010105

    Article  Google Scholar 

  25. Vernhes P, Bloch J, Mercier C et al (2008) Statistical analysis of paper surface microstructure: a multi-scale approach. Appl Surf Sci 254:7431–7437. https://doi.org/10.1016/j.apsusc.2008.06.023

    Article  CAS  Google Scholar 

  26. Massey FJ (1951) The Kolmogorov-Smirnov test for goodness of fit. J Am Stat Assoc 46:68–78. https://doi.org/10.1080/01621459.1951.10500769

    Article  Google Scholar 

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Acknowledgements

Laboratoire 3SR is part of the LabEx Tec 21 (Investissements d'Avenir—Grant agreement n° ANR-11-LABX-0030). We acknowledge the financial support of the PolyNat Carnot Institute (Investissements d'Avenir—Grant Agreement No. ANR-16-CARN-0025-01) through the project FLOCS. The authors gratefully acknowledge Monika Król for the paper handsheet making and Fanta Goita for her help during the tensile test experimental campaign.

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Correspondence to Sabine Rolland du Roscoat.

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Villette, F., Rolland du Roscoat, S., Dufour, F. et al. Toward the link between structural and mechanical properties of fiber aggregates in paper materials. J Mater Sci 57, 7587–7599 (2022). https://doi.org/10.1007/s10853-022-07098-8

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  • DOI: https://doi.org/10.1007/s10853-022-07098-8

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