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Displaying quasi-brittle failure using avalanches: paper as a material model

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Abstract

This article aims to discuss and complete the avalanche representations of the failure process of quasi-brittle materials. Paper was used as a model material. We proposed an original method to determine avalanches extracted directly from the force drops in the post-peak regime of experimental force–displacement curves. We studied the avalanche distributions on notched and unnotched samples, taking into account the measurement noise. From these experimental tests, two regimes in the avalanche distribution were observed during the propagation of a macrocrack, in particular with a well-defined power law at small scale, that was consistent with other avalanche distributions based on other methods and other materials in literature. A single regime power-law distributed was found for a diffuse damage (without a significant macrocrack propagation) using the Mazars’ damage model. Our results showed that the post-peak regime of tensile curves contained the statistical signature of the propagation of a macrocrack during the rupture of paper.

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Acknowledgements

Laboratoire 3SR is part of the LabEx Tec 21 (Investissements d'Avenir—Grant agreement n° ANR-11-LABX-0030) and of the PolyNat Carnot Institute (Investissements d'Avenir—Grant agreement no. ANR-16-CARN-0025-01). The authors gratefully acknowledge the LGP2 (Laboratoire de Génie des Procédés pour la Bioraffinerie, les Matériaux Bio-sourcés et l'Impression Fonctionnelle) for allowing us to use their test equipment.

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F. Villette wrote the main manuscript and prepared all figures. J. Baroth, F. Dufour, S. Rolland du Roscoat contributed to design methodology and reviewed it.

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Correspondence to Julien Baroth.

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Villette, F., Baroth, J., Dufour, F. et al. Displaying quasi-brittle failure using avalanches: paper as a material model. Int J Fract 245, 25–35 (2024). https://doi.org/10.1007/s10704-023-00748-1

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  • DOI: https://doi.org/10.1007/s10704-023-00748-1

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