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Micromechanical analytical and inverse numerical modeling methods for determining the transverse elastic modulus of bamboo

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Abstract

Bamboo has recently become a key material in green engineering. However, measuring its transverse elastic modulus (ET) is difficult due to the inherent structural properties of bamboo culm. In this study, two micromechanical analytical models, the Chamis model and Reuss model, and a finite element (FE) inverse numerical method were used to calculate the elastic modulus perpendicular to the bamboo grain by using a specially designed strip-reinforced polymer specimen. A bamboo veneer microtensile test was used to verify these approaches. The effect of the specimen geometry on measurement accuracy was also determined. This novel approach was also used to determine the ET of two bamboo species. The Chamis model had the best performance because its assumptions regarding the fiber section geometry were consistent with the actual specimen; the Reuss model had the worst results. The result of the FE method was slightly distorted due to the high sensitivity of parameters. A parametric study revealed that the micromechanics and FE descriptions of the modulus of the resin–fiber combination differed. The fiber volume fraction affected the prediction accuracy, but not the width or spacing of the bamboo strips. The strain and stress distribution of composite repeating units were studied. The results of ET measurements for the two bamboo species were reasonable. In conclusion, a novel, verified, simple, and accurate method was developed for determining the ET of bamboo.

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Acknowledgements

This work was supported by the National Science and Technology Council, Taiwan [111-2313-B-002-055-MY3; 110-2313-B-002-044]. Special thanks to the College of Mechanical Engineering, National Taiwan University, for supporting the FE Software.

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C-WC and F-CC start the conceptualization and discuss the methodology. C-WC and H-WK conducted experiments and analysis. C-YL conducted Finite Element analysis and assisted visualization. C-WC wrote the first draft, and F-CC review and edited the manuscript. F-CC was also responsible for project administration and funding acquisition. All authors have reviewed the manuscript before submission.

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Correspondence to Feng-Cheng Chang.

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The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

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Chang, CW., Lin, CY., Kao, HW. et al. Micromechanical analytical and inverse numerical modeling methods for determining the transverse elastic modulus of bamboo. Wood Sci Technol 57, 75–92 (2023). https://doi.org/10.1007/s00226-022-01445-3

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  • DOI: https://doi.org/10.1007/s00226-022-01445-3

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