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Experimental investigation and modeling study of the fiber orientation behavior

Maoyuan Li (State Key Laboratory of Material Processing and Die and Mold Technology, Huazhong University of Science and Technology, Wuhan, China)
Yun Zhang (State Key Laboratory of Material Processing and Die and Mold Technology, Huazhong University of Science and Technology, Wuhan, China)
Shi Zhang (State Key Laboratory of Material Processing and Die and Mold Technology, Huazhong University of Science and Technology, Wuhan, China)
Binkui Hou (State Key Laboratory of Material Processing and Die and Mold Technology, Huazhong University of Science and Technology, Wuhan, China)
Huamin Zhou (State Key Laboratory of Material Processing and Die and Mold Technology, Huazhong University of Science and Technology, Wuhan, China)

Engineering Computations

ISSN: 0264-4401

Article publication date: 30 October 2020

Issue publication date: 17 June 2021

206

Abstract

Purpose

The orientation behavior of fiber is of great significance in improving the performance of fiber-reinforced polymer products. Generally, the Folgar–Tucker equation can accurately describe the variation of orientation vector of fiber, whereas the stability of numerical algorithms was the major challenge. This paper aims to propose an accurate, stable algorithm to solve the Folgar–Tucker equation for the fiber orientation behavior.

Design/methodology/approach

First, the mismatch problem between the strain rate and the pressure field was solved by using the integral transformation method. Then, an accurate, stable algorithm to solve the Folgar–Tucker equation based on the invariant-based optimal fitting method was proposed. The equation was discretized by finite element/finite difference method, and the Lagrange multiplier method was applied to ensure stability.

Findings

The proposed algorithm is proven to accurately and steadily coincide with the experimental results for different cases, including the fiber orientation behaviors under combined flow field, rectangular sheet, three-dimensional computed tomography imaging of tensile specimen and box cases.

Originality/value

The fiber orientation behavior during the injection molding can be accurately predicted, which plays a significant role in determining the mechanical properties of products.

Keywords

Acknowledgements

The authors would like to acknowledge financial support from the National Key Research and Development Program of China (Grant No. 2019YFB1704903), the China Postdoctoral Science Foundation (2019M662615), National Natural Science Foundation of China (Grant Nos. 51675199, 51635006, and 51575207).

Conflicts of interest: The authors declare no competing financial interest.

Citation

Li, M., Zhang, Y., Zhang, S., Hou, B. and Zhou, H. (2021), "Experimental investigation and modeling study of the fiber orientation behavior", Engineering Computations, Vol. 38 No. 4, pp. 1453-1475. https://doi.org/10.1108/EC-12-2019-0571

Publisher

:

Emerald Publishing Limited

Copyright © 2020, Emerald Publishing Limited

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