Modeling polycrystalline materials with elongated grains
Modeling polycrystalline materials with elongated grains
复制标题
模拟具有细长晶粒的多晶材料
DOI：
10.1002/nme.6004
复制
发表时间：
2018
影响因子：
2.9
通讯作者：
E. Oñate
中科院分区：
文献类型：
--
作者：
Irvin Pérez;M. Farias;M. Castro;Roberto Roselló;C. R. Morfa;Liosber Medina;E. Oñate
作者最近发表了一种新的算法来再现多晶材料中晶粒的排列。在这种原始的方法中，生成具有与颗粒相同分布的密集的圆（或球）包，以产生一组Voronoi单元，该Voronoi单元随后被修改为表示原始结构的Laguerre单元。该算法成功地应用于具有等维晶粒的材料;然而，它不能用于长形晶粒。在本文中，修改，以克服这些缺点。这是通过移动Voronoi单元的每个顶点来实现的，使得顶点与粒子之间的距离与欧几里得距离相等。该算法适用于二维椭圆和球圆柱的包装。还提供了一个球包的例子来说明一个简单的3D情况下的应用。通过Jaccard系数（J）验证生成的包装和相应的镶嵌之间的粘附性。随机生成多个软件包，并研究了J系数的分布。所得到的值满足理论约束和所提出的算法的质量进行了统计验证。
A novel algorithm to reproduce the arrangement of grains in polycrystalline materials was recently published by the authors. In this original approach, a dense package of circles (or spheres) with the same distribution as the grains is generated to produce a set of Voronoi cells that are later modified to Laguerre cells representing the original structure. This algorithm was successfully applied to materials with somewhat equidimensional grains; however, it fails for long‐shaped grains. In this paper, modifications are provided in order to overcome these drawbacks. This is accomplished by moving each vertex of the Voronoi cells in such a way that the vertex should be equidistant from the particles with respect to the Euclidean distance. The algorithm is applied to packages of ellipses and spherocylinders in 2D. An example for a package of spheres is also provided to illustrate the application for a simple 3D case. The adherence between the generated packages and the corresponding tessellations is verified by means of the Jaccard coefficient (J). Several packages are generated randomly and the distribution of J coefficients is investigated. The obtained values satisfy the theoretical restraints and the quality of the proposed algorithm is statistically validated.