A new method for the generation of arbitrarily shaped 3D random polycrystalline domains
A new method for the generation of arbitrarily shaped 3D random polycrystalline domains
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DOI：
10.1007/s00466-014-1068-3
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发表时间：
2014-12
影响因子：
4.1
通讯作者：
S. Falco;P. Siegkas;E. Barbieri;N. Petrinic
中科院分区：
文献类型：
--
作者：
S. Falco;P. Siegkas;E. Barbieri;N. Petrinic
本文提出了一种任意形状三维多晶模型的生成和网格划分的新方法。离散化是基于Voronoi镶嵌，这是统计上的多晶材料的微观结构的代表。一个原始的方法来定义任何可能的（凹或凸）形状的最终域，独立于初始配置的聚合。首先沿沿着任意方向的平面裁剪Voronoi单元以生成凸域，然后沿沿着平面执行任意数量的切割以生成最终的凹域。最后将颗粒分别离散化并组装在一起以创建有限元模型。给出了几个例子来显示生成的虚拟样品模拟真实的多晶材料的行为的能力。由各向异性（三角形）的晶粒和应力强度因子在尖锐的缺口尖端的多晶体的宏观弹性性能进行评估和比较与分析计算和实验证据，表现出良好的协议。
In this paper a new method for the generation and meshing of arbitrarily shaped three-dimensional polycrystalline models is presented. The discretization is based on Voronoi tessellation, which is shown to be statistically representative of the microstructure of polycrystalline materials. An original approach is introduced to define any possible (concave or convex) shape of the final domain, independently from the initial configuration of the aggregate. Firstly the Voronoi cells are cropped along arbitrarily oriented planes to generate a convex domain, and then an arbitrary number of cuts are performed along planar surfaces to generate the final concave domain. Finally the grains are discretised separately and assembled together to create a finite element model. Several examples are presented to show the capability of generated virtual samples to simulate the behaviour of real polycrystalline materials. The macroscopic elastic properties of polycrystals consisting of anisotropic (trigonal) grains and the stress intensity factor at the tip of a sharp notch are evaluated and compared both with analytical calculations and experimental evidences, showing excellent agreement.