复合材料科学与工程 ›› 2024, Vol. 0 ›› Issue (4): 33-39.DOI: 10.19936/j.cnki.2096-8000.20240428.005

• 基础研究 • 上一篇    下一篇

基于改进的Halpin-Tsai模型对颗粒增强复合材料弹性常数预测

武顺心1,2, 朱水文1,2*   

  1. 1.湖北汽车工业学院 汽车工程学院,十堰 442002;
    2.汽车动力传动与电子控制湖北省重点实验室,十堰 442002
  • 收稿日期:2023-11-06 出版日期:2024-04-28 发布日期:2024-04-28
  • 通讯作者: 朱水文(1978—),男,博士,讲师,硕士生导师,研究方向为复合材料及汽车轻量化,swzhu@huat.edu.cn。
  • 作者简介:武顺心(1999—),男,在读硕士,研究方向为复合材料均匀化及相关研究。
  • 基金资助:
    湖北教育厅项目(B20111806);湖北汽车工业学院博士基金(BK202213)

Prediction of elastic constants of particle-reinforced composite materials based on the improved Halpin-Tsai model

WU Shunxin1,2, ZHU Shuiwen1,2*   

  1. 1. School of Automotive Engineering, Hubei University of Automotive Technology, Shiyan 442002, China;
    2. Hubei Key Laboratory of Automotive Power Train and Electronic Control, Shiyan 442002, China
  • Received:2023-11-06 Online:2024-04-28 Published:2024-04-28

摘要: 为了预测不同形状颗粒增强复合材料的弹性常数,以碳化硅(SiC)颗粒增强环氧树脂为例,建立了不同颗粒形状的代表性体积元(RVE)模型,研究了不同颗粒形状及其体积分数对复合材料弹性常数的影响。通过改进的Halpin-Tsai模型,得出了形状因子与体积分数、颗粒体积和几何因子之间的关系式。有限元模型和改进的Halpin-Tsai模型计算的复合材料弹性常数结果相近,最大误差仅为4%。研究表明,改进的Halpin-Tsai模型可以用于预测碳化硅颗粒增强环氧树脂复合材料的弹性常数。

关键词: Halpin-Tsai模型, 颗粒形状, 体积分数, 弹性模量, RVE模型, 复合材料

Abstract: In order to predict the elastic constants of particle-reinforced composites with different shapes, a representative volume element (RVE) model of different particle shapes was developed to investigate the effects of different particle shapes and their volume fractions on the elastic constants of the composites, taking silicon carbide (SiC) particle-reinforced epoxy resin as an example. And the relationship equations between shape factor and volume fraction, particle volume and geometry factor were derived by the improved Halpin-Tsai model. The results of the elastic constants of composites calculated by the finite element model and the improved Halpin-Tsai model are similar with a maximum error of only 4%. It is shown that the improved Halpin-Tsai model can be used to predict the elastic constants of silicon carbide particle reinforced epoxy composites.

Key words: Halpin-Tsai model, particle shape, volume fraction, elastic modulus, RVE model, composites

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