考虑纤维波纹度的单向复合材料代表性体积元生成算法

doi:10.3901/JME.2024.08.186

机械工程学报 ›› 2024, Vol. 60 ›› Issue (8): 186-195.doi: 10.3901/JME.2024.08.186

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考虑纤维波纹度的单向复合材料代表性体积元生成算法

谢晨阳¹, 黄鲛², 肖光明³, 张贤杰¹, 王俊彪¹, 李玉军^1,3

1. 西北工业大学机电学院西安 710072;
2. 中国航空工业集团公司雷华电子技术研究所无锡 214063;
3. 中航西安飞机工业集团股份有限公司西安 710089

收稿日期:2023-03-14 修回日期:2023-09-24 出版日期:2024-04-20 发布日期:2024-06-17
作者简介:谢晨阳,男,1999年出生。主要研究方向为复合材料制造及力学。E-mail:XieCy@mail.nwpu.edu.cn;李玉军(通信作者),男,1987年出生,博士,副教授。主要研究方向为复合材料制造工艺力学、复合材料多尺度损伤与断裂。E-mail:li.yujun@nwpu.edu.cn
基金资助:
国家自然科学基金资助项目(11902256)。

A Algorithm to Generate Representative Volume Elements for Unidirectional Composites Considering Fiber Misalignment

XIE Chenyang¹, HUANG Jiao², XIAO Guangming³, ZHANG Xianjie¹, WANG Junbiao¹, LI Yujun^1,3

1. School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an 710072;
2. Avic Leihua Institute of Electronic Technology, Wuxi 214063;
3. Avic Xi'an Aircraft Industry Group Company Ltd., Xi'an 710089

Received:2023-03-14 Revised:2023-09-24 Online:2024-04-20 Published:2024-06-17

摘要/Abstract

摘要： 提出一种单向纤维增强复合材料(Unidirectional fiber reinforced polymer，UD-FRP)周期性高保真代表性体积元(Representative volume element，RVE)的创建算法。首先基于随机游走算法，采用贝塞尔(Bézier)曲线表征纤维形态，使曲线各控制点处的切线方向的统计分布服从多变量冯·米塞斯-费歇尔(Von-MISES FISCHER)函数，创建出初步的软核模型。进而基于力偏置算法，在保证RVE内部纤维不产生过度扭曲的前提下，调整纤维间的重叠，创建出对应的硬核模型。调整过程中，通过引入三维近邻列表算法，大幅提高算法效率。最后对所创建的含有纤维波纹度特征的RVE模型进行了横向剪切渐进损伤分析，用以揭示该方法的研究价值及应用领域。结果表明，该方法能够快速有效地创建不同尺寸及纤维波纹度的RVE几何构型，这种含有波纹度特征的纤维构型会对UD-FRP的横向剪切性能产生一定影响，纤维波纹度越大，UD-FRP的横向剪切强度越大。

关键词: 单向纤维增强复合材料, 纤维波纹度, 随机游走, 周期性边界条件, 近邻列表算法, 力偏置算法, 横向剪切

Abstract: A generation algorithm of periodic high fidelity representative volume element (RVE) model of unidirectional fiber-reinforced polymer (UD-FRP) is introduced. Firstly, based on the random walk algorithm, the fiber morphology is characterized as the Bézier curve, and the tangent direction at each control point is adjusted to follow the multivariable Von-MISES FISCHER function to generate a preliminary soft-core fiber network. Then based on the force-biased algorithm, the corresponding hard-core model is created by adjusting the overlap between fibers to ensure that the fibers in RVE do not twist excessively. In the adjustment process, a three-dimensional near-neighbor list is introduced to significantly improve the algorithm's speed. Finally, the RVE containing fiber waviness is preliminarily calculated for transverse shear, so as to reveal the research value and application field of this method. The results show that the RVE of the required size and fiber waviness can be generated effectively and quickly by this method, the transverse shear strength of UD-FRP can be affected by the fiber configuration with waviness characteristics. The transverse shear strength of UD-FRP increases with the increase of fiber waviness.

Key words: unidirectional fiber reinforced composites, fiber misalignment, the random walk based stochastic modeling, periodic boundary conditions, near-neighbor list algorithm, the force-biased algorithm, transverse shear

中图分类号:

TG156

谢晨阳, 黄鲛, 肖光明, 张贤杰, 王俊彪, 李玉军. 考虑纤维波纹度的单向复合材料代表性体积元生成算法[J]. 机械工程学报, 2024, 60(8): 186-195.

XIE Chenyang, HUANG Jiao, XIAO Guangming, ZHANG Xianjie, WANG Junbiao, LI Yujun. A Algorithm to Generate Representative Volume Elements for Unidirectional Composites Considering Fiber Misalignment[J]. Journal of Mechanical Engineering, 2024, 60(8): 186-195.

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考虑纤维波纹度的单向复合材料代表性体积元生成算法

A Algorithm to Generate Representative Volume Elements for Unidirectional Composites Considering Fiber Misalignment

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