Evaluating the performance of microstructure generation algorithms for 2-d foam-like representative volume elements
Evaluating the performance of microstructure generation algorithms for 2-d foam-like representative volume elements
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DOI：
10.1016/j.mechmat.2016.04.001
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发表时间：
2016-07-01
影响因子：
3.9
通讯作者：
Harrison, P.
中科院分区：
文献类型：
--
作者：
Alsayednoor, J.;Harrison, P.
这项研究评估了各种数值算法；每一种算法都被设计成生成周期性的2-D代表性体积单元(RVEs)，其中包含适合直接导入商业有限元软件进行力学评估的泡沫状微结构。讨论了每种算法的操作，并从机械和形态的角度检查了所得到的RVE。基于Voronoi的基本算法易于实现，但该方法会产生固有的各向异性微结构。增加微观结构的不规则性降低了各向异性，但代价是创建了不现实的微结构，其中包含高度角状的细胞。展示了一种使用质心镶嵌松弛算法修改这种不真实微结构的方法，最终产生具有相对真实的单分散微结构的RVEs。该算法的优点是能够生成多分散微结构，具有可控的多分散程度和几乎完全各向同性的力学响应。(C)2016年提交人。爱思唯尔有限公司出版。
This investigation evaluates various numerical algorithms; each designed to generate periodic 2-D Representative Volume Elements (RVEs) containing foam-like microstructures suitable for direct import into commercial finite element software for mechanical evaluation. The operation of each algorithm is discussed and the resulting RVEs are examined from both a mechanical and a morphological perspective. A basic Voronoi-based algorithm is found to be simple to implement but the method is shown to produce inherently anisotropic microstructures. Increasing the degree of irregularity of the microstructure reduces the anisotropy but at the cost of creating unrealistic microstructures, containing highly angular cells. A method of modifying such unrealistic microstructures using a centroidal tessellation relaxation algorithm is demonstrated, ultimately producing RVEs with relatively realistic mono-disperse microstructures. An alternative algorithm is also investigated the advantage of this algorithm is its ability to generate poly-disperse microstructures, with a controllable degree of poly-dispersity and an almost fully isotropic mechanical response. (C) 2016 The Authors. Published by Elsevier Ltd.