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颗粒增强复合材料的几何模型数值模拟方法研究

宋来忠 李耀辉

宋来忠, 李耀辉. 颗粒增强复合材料的几何模型数值模拟方法研究[J]. 应用数学和力学, 2015, 36(2): 220-232. doi: 10.3879/j.issn.1000-0887.2015.02.011
引用本文: 宋来忠, 李耀辉. 颗粒增强复合材料的几何模型数值模拟方法研究[J]. 应用数学和力学, 2015, 36(2): 220-232. doi: 10.3879/j.issn.1000-0887.2015.02.011
SONG Lai-zhong, LI Yao-hui. Numerical Simulation of the Geometric Models for Particle-Reinforced Composite Materials[J]. Applied Mathematics and Mechanics, 2015, 36(2): 220-232. doi: 10.3879/j.issn.1000-0887.2015.02.011
Citation: SONG Lai-zhong, LI Yao-hui. Numerical Simulation of the Geometric Models for Particle-Reinforced Composite Materials[J]. Applied Mathematics and Mechanics, 2015, 36(2): 220-232. doi: 10.3879/j.issn.1000-0887.2015.02.011

颗粒增强复合材料的几何模型数值模拟方法研究

doi: 10.3879/j.issn.1000-0887.2015.02.011
基金项目: 国家自然科学基金(面上项目)(11171181)
详细信息
    作者简介:

    宋来忠(1962—),男,湖北南漳人,教授(通讯作者. E-mail: slz@ctgu.edu.cn);李耀辉(1989—),男,湖北孝感人,硕士生.

  • 中图分类号: TP391.72;O242

Numerical Simulation of the Geometric Models for Particle-Reinforced Composite Materials

Funds: The National Natural Science Foundation of China(General Program)(11171181)
  • 摘要: 为了在细观层次上模拟混凝土和土石混合体等颗粒增强复合材料,假设颗粒为凸多面体.首先研究由随机八面体随机变形得到任意凸多面体及其参数方程的方法,然后研究凸多面体内部与外部的判定条件、点到多面体的距离和两多面体之间距离的计算方法,从而得到了一个生成具有大量多面体随机分布区域的方法.为了提高模拟区域中多面体的含量,还给出了下降算法.实验表明:可以按二级配生成多面体含量达35%(体积比)的模拟区域,为从细观层次研究混凝土、土石混合体等颗粒增强复合材料,提供了创建几何模型的方法.
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    [14] 赵金凤, 严颖, 季顺迎. 基于离散元模型的土石混合体直剪试验分析[J]. 固体力学学报, 2014,35(2): 124-134.(ZHAO Jin-feng, YAN Yin, JI Shun-ying. Analysis of direct shear test of soil-rock mixture[J]. Chinese Journal of Solid Mechanics,2014,35(2): 124-134.(in Chinese))
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出版历程
  • 收稿日期:  2014-08-12
  • 修回日期:  2014-11-10
  • 刊出日期:  2015-02-15

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