北京航空航天大学学报 ›› 2006, Vol. 32 ›› Issue (12): 1468-1471.

• 论文 • 上一篇    下一篇

各向异性随机泡沫模型的弹性性能分析

卢子兴, 张家雷, 王嵩   

  1. 北京航空航天大学 航空科学与工程学院, 北京 100083
  • 收稿日期:2005-12-21 出版日期:2006-12-31 发布日期:2010-09-21
  • 作者简介:卢子兴(1960-),男,河北枣强人,教授,luzixing@263.net.
  • 基金资助:

    国家自然科学基金资助项目(10572013); 北京市教育委员会共建项目建设计划资助项目(XK100060522)

Investigation into elastic properties of anisotropic random foam model

Lu Zixing, Zhang Jialei, Wang Song   

  1. School of Aeronautic Science and Technology, Beijing University of Aeronautics and Astronautics, Beijing 100083, China
  • Received:2005-12-21 Online:2006-12-31 Published:2010-09-21

摘要: 为了利用随机模型来分析泡沫材料微结构的各向异性对其力学性能的影响,在各向同性的Voronoi随机泡沫模型基础上,通过引入胞体生长速度的差异,得到各向异性的开孔和闭孔随机泡沫模型.利用有限元方法对模型的弹性性能进行了数值分析,得到相对杨氏模量和泊松比同各向异性尺寸比的关系,并和理论预测结果进行了对比分析.结果表明,建立的开孔和闭孔随机泡沫模型能较好地反映泡沫材料的各向异性力学性质;且开孔和闭孔泡沫的各向异性力学性能均与泡沫材料的相对密度有关.

Abstract: In order to investigate the influence of cell microstructure anisotropy on the mechanical properties with random model, on the basis of isotropic Voronoi random foam model, anisotropic open-cell and closed-cell random foam models were established through considering cell growth rate difference. The elastic properties of these models were analyzed by the finite element method. The relation between the relative Young′s modulus of the models and the anisotropic size ratio was obtained and compared with theory predicted results; the relation between the Poisson′s ratio and the anisotropic size ratio was also obtained and compared. The results indicate that the open-cell and closed-cell random foam model can reflect the cell anisotropic mechanical properties well, and the anisotropic mechanical properties of open-cell and closed-cell foam both have relation with relative density.

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