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Modeling the nonlinear creep behavior of Entandrophragma cylindricum wood by a fractional derivative model

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Abstract

Wood, favored for its renewable nature and ease of shaping, is widely used as a structural construction material. However, once in service, wood undergoes creep. This paper delves into the nonlinear creep behavior of Entandrophragma cylindricum wood, known in Cameroon as Sapele, using rheological models based on fractional derivatives. The classical eight-parameter Kelvin–Voigt rheological model and the fractional rheological models of Zener, Thomson, and Burger are employed for modeling. The rheological parameters for these models are determined through an optimization algorithm. The results reveal that the classical model encounters difficulty in describing the experimental data, whereas the fractional models offer a better fitting. Notably, among the fractional models, the Thomson model predicts Sapele creep with an accuracy of 98%.

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Acknowledgements

The authors would like to express their gratitude to the Research Unit of Mechanics and Modeling of Physical Systems of the Department of Physics at the University of Dschang, for providing the bending test facilities.

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No funding was reported for this research work. This article does not contain any additional data.

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Authors and Affiliations

  1. Mechanics and Modeling of Physical Systems Research Unit (UR-2MSP), Department of Physics, Faculty of Sciences, University of Dschang, Dschang, BP 067, Cameroon

    Loïc Chrislin Nguedjio, Jeanne Sandrine Mabekou Takam, Francis Zemtchou, Annabelle Kosguine Mezatio & Pierre Kisito Talla

  2. Clermont Auvergne University, Clermont Auvergne INP, CNRS, Institut Pascal, Clermont-Ferrand, F-63000, France

    Rostand Moutou Pitti & Benoit Blaysat

  3. CENAREST, IRT, Libreville, BP14070, Gabon

    Rostand Moutou Pitti

Authors
  1. Loïc Chrislin Nguedjio
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  2. Jeanne Sandrine Mabekou Takam
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  3. Rostand Moutou Pitti
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  4. Benoit Blaysat
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  5. Francis Zemtchou
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  6. Annabelle Kosguine Mezatio
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  7. Pierre Kisito Talla
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Contributions

- Loic NGUEDIO carried out all the tests, produced the numerical models and wrote the entire article. Revise the paper - Rostand MOUTOU PITTI supervised the work, took part in writing the article, proofread the article, checked all the results and selected the journal for submission. Revise and re submitted the paper - Sandrine NGAMGA MABEKOU supervised the work, carried out the tests and helped to draw up the experimental protocols while selecting the wood species. - Francis ZEMTCHOU carried out the tests and helped set up the experimental protocols - Annabelle Kosguine MEZA carried out the tests and helped set up the experimental protocols - Benoit BLAYSAT helped to correct the article and check the consistency of the results. - Pierre Kisito TALLA supervised Loic’s work by proposing the subject and providing supervision in collaboration with all the colleagues mentioned.

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Correspondence to Rostand Moutou Pitti.

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Nguedjio, L.C., Mabekou Takam, J.S., Moutou Pitti, R. et al. Modeling the nonlinear creep behavior of Entandrophragma cylindricum wood by a fractional derivative model. Mech Time-Depend Mater 28, 303–319 (2024). https://doi.org/10.1007/s11043-024-09662-y

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