基于Voronoi分形划分的双孔径多孔材料孔道结构参数化设计  

Parametric design of bimodal porosity structure based on Voronoi polygons and fractals

作　　者：张禹 刘如铁[1] 陈洁[1] 熊翔[1] 李浩 王铸博 ZHANG Yu;LIU Rutie;CHEN Jie;XIONG Xiang;LI Hao;WANG Zhubo(State Key Laboratory of Powder Metallurgy,Central South University,Changsha 410083,China)

机构地区：[1]中南大学粉末冶金国家重点实验室,长沙410083

出　　处：《粉末冶金材料科学与工程》2022年第3期257-266,共10页Materials Science and Engineering of Powder Metallurgy

基　　金：国家国际科技合作专项资助项目(2015DFR50580)。

摘　　要：本文提出了一种适用于模拟双孔径多孔介质的孔道结构模型,该模型可独立形成空间均匀分布的大、小尺寸的两种孔径,并在此基础上开发可以生成参数化孔道模型图示及构成体素坐标的面向过程程序。通过划分函数的迭代,从对应几何方法的自相似性引出此模型的一般孔隙度、分形维度、间隙度和比表面积方面的讨论。最后通过面向对象编程,选择工业三维建模软件开发一种可以生成较大规模几何模型文件的技术路线及渗流与电化学仿真应用方法。This research proposed a bimodal porosity structure type providing the ability to individually form evenly distributed pores of two separated sizes. A method of generating structures parametrically was provided, and a process-oriented program was developed outputting diagrams and coordinates. Iterations of tessellation module, causing geometrical self-resemblance, were further discussed from porosity, fractal dimension, lacunarity and specific surface area aspects. Technical routes were introduced for building 3D model files of large complexity in common industrial software’s object-oriented application programming interface and applications in permeability or electrochemistry simulations.

关 键 词：VORONOI划分 分形 二元孔隙度 孔道结构 多孔介质 多孔电极 

分 类 号：TB113[理学—数学]