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Variable Order Fractional Creep Model of Wood Material: Case of Tropical Pericopsis Elata Species

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Abstract:

A rheological model based on the new formulation of fractional calculus with variable order is developed to study the viscoelastic behavior of wood. The model, which uses only two rheological elements, exhibits an enhanced memory effect compared to constant-order fractional derivative models, demonstrated by a satisfactory fit to the experimental deformations observed in four-point bending tests on \textit{Pericopsis elata} samples. By determining the parameters of the linear function of the fractional order used, a physical significance emerges that explains the changes occurring within the material during the tests. This type of model, therefore, provides wood engineers with additional information about the behavior of the material under stress.

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Periodical:

Key Engineering Materials (Volume 1042)

Pages:

139-148

DOI:

https://doi.org/10.4028/p-9Kvaxw

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Online since:

February 2026

Authors:

Loic Chrislin Nguedjio*, Florelle Mafogang Mbekou, Rostand Moutou Pitti, Pierre Kisito Talla

Keywords:

Four-Point Bending, Pericopsis elata, Variable-Order Fractional Model, Wood

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© 2026 Trans Tech Publications Ltd. All Rights Reserved

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