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

Hang Yu, Chenhui Zhu (), Lu Yao, Yan Ma, Yang Ni, Shenkai Li, Huan Li, Yang Liu and Yuming Wang
Additional contact information
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

Mathematics, 2023, vol. 11, issue 5, 1-12

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.

Keywords: time-fractional diffusion equation; non-Fickian behaviors; hygrothermal aging; 3D woven composite (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/5/1160/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/5/1160/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:5:p:1160-:d:1081349

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().