闭孔Voronoi泡沫的几何特征分析  

Investigation into the Geometrical Properties of Closed-cell Voronoi Foam

作　　者：卢子兴[1] 王嵩[1] 

机构地区：[1]北京航空航天大学航空科学与工程学院,北京100083

出　　处：《应用基础与工程科学学报》2008年第1期110-117,共8页Journal of Basic Science and Engineering

基　　金：国家自然科学基金(10572013);国防科技重点实验室基金(51460020103hk01);北京市教育委员会共建项目建设计划(XK100060522)

摘　　要：基于体心立方(BCC)点集,通过引入不同程度的随机扰动建立了闭孔泡沫的Voronoi随机模型.然后,对模型的拓扑和几何特征进行了统计分析,并与完全随机点集基础上得到的Voronoi模型进行了比较.结果表明,随着模型随机度的提高,模型逐渐趋于不规则化.并且,在较高的随机度下,模型在拓扑结构上与完全随机点集基础上得到的Voronoi模型趋于一致.此时,其壁面数量和体积的分布函数近似满足对数正态分布,而其棱边数的分布函数则近似满足二项分布.On the basis of different random disturbance on the Body Centered Cubic （BCC） point set, the Voronoi random models for closed-foam are established. The topological properties and geometrical properties of the model are analyzed by statistical method and compared with those properties of Voronoi random model which based on the random point set. The statistical results indicate that the model tends to be irregular with the increase of random degree, and the topological properties of the model tends to be the same with those properties of Voronoi random model which based on random point set at higher random degree. Then, the distribution of wall number and cell volume could be described by lognormal distribution, and the binomial distribution is a good approximation to the strut number distribution.

关 键 词：Voronoi分布 泡沫:微结构:几何特征 拓扑特征 

分 类 号：V258[一般工业技术—材料科学与工程] TB332[航空宇航科学与技术—航空宇航制造工程]