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The Two Stage Moisture Diffusion Model for Non-Fickian Behaviors of 3D Woven Composite Exposed Based on Time Fractional Diffusion Equation

Author

Listed:
  • Hang Yu

    (School of Transportation and Civil Engineering, Nantong University, Nantong 226019, China)

  • Chenhui Zhu

    (School of Transportation and Civil Engineering, Nantong University, Nantong 226019, China)

  • Lu Yao

    (School of Transportation and Civil Engineering, Nantong University, Nantong 226019, China)

  • Yan Ma

    (School of Textile and Clothing, Nantong University, Nantong 226019, China)

  • Yang Ni

    (Shanghai Electro-Mechanical Engineering Institute, Shanghai 201109, China)

  • Shenkai Li

    (School of Transportation and Civil Engineering, Nantong University, Nantong 226019, China)

  • Huan Li

    (School of Transportation and Civil Engineering, Nantong University, Nantong 226019, China)

  • Yang Liu

    (School of Transportation and Civil Engineering, Nantong University, Nantong 226019, China)

  • Yuming Wang

    (School of Transportation and Civil Engineering, Nantong University, Nantong 226019, China)

Abstract

The moisture diffusion behaviors of 3D woven composites exhibit non-Fickian properties when they are exposed to a hydrothermal environment. Although some experimental works have been undertaken to investigate this phenomenon, very few mathematical works on non-Fickian moisture diffusion predictions of 3D woven composites are available in the literature. To capture the non-Fickian behavior of moisture diffusion in 3D woven composites, this study first utilized a time fractional diffusion equation to derive the percentage of moisture content of a homogeneous material under hydrothermal conditions. A two-stage moisture diffusion model was subsequently developed based on the moisture diffusion mechanics of both neat resin and 3D woven composites, which describes the initial fast diffusion and the long-term slow diffusion stages. Notably, the model incorporated fractional order parameters to account for the nonlinear property of moisture diffusion in composites. Finally, the weight gain curves of neat resin and the 3D woven composite were calculated to verify the fractional diffusion model, and the predicted moisture uptake curves were all in good agreement with the experimental results. It is important to note that when the fractional order parameter α < 1, the initial moisture uptake will become larger with a later slow down process. This phenomenon can better describe non-Fickian behavior caused by initial voids or complicated structures.

Suggested Citation

  • Hang Yu & Chenhui Zhu & Lu Yao & Yan Ma & Yang Ni & Shenkai Li & Huan Li & Yang Liu & Yuming Wang, 2023. "The Two Stage Moisture Diffusion Model for Non-Fickian Behaviors of 3D Woven Composite Exposed Based on Time Fractional Diffusion Equation," Mathematics, MDPI, vol. 11(5), pages 1-12, February.
  • Handle: RePEc:gam:jmathe:v:11:y:2023:i:5:p:1160-:d:1081349
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    References listed on IDEAS

    as
    1. Gorenflo, Rudolf & Mainardi, Francesco & Vivoli, Alessandro, 2007. "Continuous-time random walk and parametric subordination in fractional diffusion," Chaos, Solitons & Fractals, Elsevier, vol. 34(1), pages 87-103.
    2. Godoy, Salvador & Garcı́a-Colı́n, L.S., 1998. "Mesoscopic diffusion as a non-Markov process," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 258(3), pages 414-428.
    3. Hang Yu & Lu Yao & Yan Ma & Zhaoyuan Hou & Jiahui Tang & Yuming Wang & Yang Ni, 2022. "The Moisture Diffusion Equation for Moisture Absorption of Multiphase Symmetrical Sandwich Structures," Mathematics, MDPI, vol. 10(15), pages 1-15, July.
    Full references (including those not matched with items on IDEAS)

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