The transverse and longitudinal elastic constants of pulp fibers in paper sheets

Abstract Cellulose fibers are a major industrial input, but due to their irregular shape and anisotropic material response, accurate material characterization is difficult. Single fiber tensile testing is the most popular way to estimate the material properties of individual fibers. However, such te...

Full description

Bibliographic Details
Main Authors: Caterina Czibula, August Brandberg, Megan J. Cordill, Aleksandar Matković, Oleksandr Glushko, Chiara Czibula, Artem Kulachenko, Christian Teichert, Ulrich Hirn
Format: Article
Language:English
Published: Nature Portfolio 2021-11-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-021-01515-9
_version_ 1818837167353364480
author Caterina Czibula
August Brandberg
Megan J. Cordill
Aleksandar Matković
Oleksandr Glushko
Chiara Czibula
Artem Kulachenko
Christian Teichert
Ulrich Hirn
author_facet Caterina Czibula
August Brandberg
Megan J. Cordill
Aleksandar Matković
Oleksandr Glushko
Chiara Czibula
Artem Kulachenko
Christian Teichert
Ulrich Hirn
author_sort Caterina Czibula
collection DOAJ
description Abstract Cellulose fibers are a major industrial input, but due to their irregular shape and anisotropic material response, accurate material characterization is difficult. Single fiber tensile testing is the most popular way to estimate the material properties of individual fibers. However, such tests can only be performed along the axis of the fiber and are associated with problems of enforcing restraints. Alternative indirect approaches, such as micro-mechanical modeling, can help but yield results that are not fully decoupled from the model assumptions. Here, we compare these methods with nanoindentation as a method to extract elastic material constants of the individual fibers. We show that both the longitudinal and the transverse elastic modulus can be determined, additionally enabling the measurement of fiber properties in-situ inside a sheet of paper such that the entire industrial process history is captured. The obtained longitudinal modulus is comparable to traditional methods for larger indents but with a strongly increased scatter as the size of the indentation is decreased further.
first_indexed 2024-12-19T03:18:12Z
format Article
id doaj.art-a59af805172d43ba9dfff790219435d8
institution Directory Open Access Journal
issn 2045-2322
language English
last_indexed 2024-12-19T03:18:12Z
publishDate 2021-11-01
publisher Nature Portfolio
record_format Article
series Scientific Reports
spelling doaj.art-a59af805172d43ba9dfff790219435d82022-12-21T20:37:50ZengNature PortfolioScientific Reports2045-23222021-11-0111111310.1038/s41598-021-01515-9The transverse and longitudinal elastic constants of pulp fibers in paper sheetsCaterina Czibula0August Brandberg1Megan J. Cordill2Aleksandar Matković3Oleksandr Glushko4Chiara Czibula5Artem Kulachenko6Christian Teichert7Ulrich Hirn8Institute of Physics, Montanuniversitaet LeobenChristian Doppler Laboratory for Fiber Swelling and Paper Performance, Graz University of TechnologyErich Schmid Institute for Materials Science, Austrian Academy of SciencesInstitute of Physics, Montanuniversitaet LeobenDepartment Materials Science, Montanuniversitaet LeobenInstitute of Bioproducts and Paper Technology, Graz University of TechnologyChristian Doppler Laboratory for Fiber Swelling and Paper Performance, Graz University of TechnologyInstitute of Physics, Montanuniversitaet LeobenInstitute of Bioproducts and Paper Technology, Graz University of TechnologyAbstract Cellulose fibers are a major industrial input, but due to their irregular shape and anisotropic material response, accurate material characterization is difficult. Single fiber tensile testing is the most popular way to estimate the material properties of individual fibers. However, such tests can only be performed along the axis of the fiber and are associated with problems of enforcing restraints. Alternative indirect approaches, such as micro-mechanical modeling, can help but yield results that are not fully decoupled from the model assumptions. Here, we compare these methods with nanoindentation as a method to extract elastic material constants of the individual fibers. We show that both the longitudinal and the transverse elastic modulus can be determined, additionally enabling the measurement of fiber properties in-situ inside a sheet of paper such that the entire industrial process history is captured. The obtained longitudinal modulus is comparable to traditional methods for larger indents but with a strongly increased scatter as the size of the indentation is decreased further.https://doi.org/10.1038/s41598-021-01515-9
spellingShingle Caterina Czibula
August Brandberg
Megan J. Cordill
Aleksandar Matković
Oleksandr Glushko
Chiara Czibula
Artem Kulachenko
Christian Teichert
Ulrich Hirn
The transverse and longitudinal elastic constants of pulp fibers in paper sheets
Scientific Reports
title The transverse and longitudinal elastic constants of pulp fibers in paper sheets
title_full The transverse and longitudinal elastic constants of pulp fibers in paper sheets
title_fullStr The transverse and longitudinal elastic constants of pulp fibers in paper sheets
title_full_unstemmed The transverse and longitudinal elastic constants of pulp fibers in paper sheets
title_short The transverse and longitudinal elastic constants of pulp fibers in paper sheets
title_sort transverse and longitudinal elastic constants of pulp fibers in paper sheets
url https://doi.org/10.1038/s41598-021-01515-9
work_keys_str_mv AT caterinaczibula thetransverseandlongitudinalelasticconstantsofpulpfibersinpapersheets
AT augustbrandberg thetransverseandlongitudinalelasticconstantsofpulpfibersinpapersheets
AT meganjcordill thetransverseandlongitudinalelasticconstantsofpulpfibersinpapersheets
AT aleksandarmatkovic thetransverseandlongitudinalelasticconstantsofpulpfibersinpapersheets
AT oleksandrglushko thetransverseandlongitudinalelasticconstantsofpulpfibersinpapersheets
AT chiaraczibula thetransverseandlongitudinalelasticconstantsofpulpfibersinpapersheets
AT artemkulachenko thetransverseandlongitudinalelasticconstantsofpulpfibersinpapersheets
AT christianteichert thetransverseandlongitudinalelasticconstantsofpulpfibersinpapersheets
AT ulrichhirn thetransverseandlongitudinalelasticconstantsofpulpfibersinpapersheets
AT caterinaczibula transverseandlongitudinalelasticconstantsofpulpfibersinpapersheets
AT augustbrandberg transverseandlongitudinalelasticconstantsofpulpfibersinpapersheets
AT meganjcordill transverseandlongitudinalelasticconstantsofpulpfibersinpapersheets
AT aleksandarmatkovic transverseandlongitudinalelasticconstantsofpulpfibersinpapersheets
AT oleksandrglushko transverseandlongitudinalelasticconstantsofpulpfibersinpapersheets
AT chiaraczibula transverseandlongitudinalelasticconstantsofpulpfibersinpapersheets
AT artemkulachenko transverseandlongitudinalelasticconstantsofpulpfibersinpapersheets
AT christianteichert transverseandlongitudinalelasticconstantsofpulpfibersinpapersheets
AT ulrichhirn transverseandlongitudinalelasticconstantsofpulpfibersinpapersheets