Assessment of existing and introduction of a new and robust efficient definition of the representative volume element
Assessment of existing and introduction of a new and robust efficient definition of the representative volume element
复制标题
评估现有的代表性体积元素并引入新的、稳健的、有效的定义
DOI：
10.1016/j.ijsolstr.2013.07.016
复制
发表时间：
2013
影响因子：
3.6
通讯作者：
M. Lévesque
中科院分区：
文献类型：
--
作者：
H. Moussaddy;D. Therriault;M. Lévesque
精确的数值均质化需要对代表性体积元（RVE）进行彻底的测定。关于均匀化中RVE的概念、定义和确定复合材料有效性质的有效计算方法，已有一些开创性的工作。当前工作的目的是评估数值RVE测定方法提供复合材料准确有效性能的能力。本文表明，基于研究有效性能与体积单元尺寸的收敛速率的常用和成熟的RVE确定方法对于随机取向纤维增强复合材料的情况是无效的，并且会产生错误的有效性能估计。针对传统RVE确定方法的失败，我们提出了一种新的RVE确定标准，该标准不是基于平均性能稳定性，而是基于其统计变化。我们提出的新标准已被证明比其他标准更准确的计算有效性能的复合材料的纵横比高达60。此外，所提出的准则不需要对体积单元大小进行收敛性研究，因此大大降低了RVE确定成本。最后，我们的工作质疑了许多已发表的处理复合材料的作品的有效性，包括高纵横比的异质性。
Accurate numerical homogenization necessitates the thorough determination of the Representative Volume Element (RVE). There exists several seminal works on the notion of the RVE in homogenization, its definitions and methods of determination for efficient computation of composite effective properties. The objective of the current work is to assess the ability of numerical RVE determination methods to deliver accurate effective properties of composite materials. This paper demonstrates that common and well-established RVE determination methods, based on studying the convergence rate of the effective properties with respect to the volume element size, are invalid for the case of composites reinforced by randomly oriented fibers and yield erroneous estimates of their effective properties. Following the failure of traditional RVE determination methods, we proposed a new RVE determination criterion that is not based on the average property stability, but its statistical variations. Our new proposed criterion has been shown to be more accurate than other criteria in computing the effective properties of composites for aspect ratios up to 60. Moreover, the proposed criterion does not necessitate a convergence study over the volume element size, hence reducing considerably the RVE determination cost. Finally, our work questions the validity of many published works dealing with composites including heterogeneities of high aspect ratios.
焊接力学中大规模非线性瞬态问题的快速计算方案
DOI：
--
发表时间：
2005
期刊：
Advances in Computational & Experimental Engineering and Sciences 2005, Proceedings of the 2005 International Conference on Computational & Experimental Engineering and Sciences (ICCES'05) Chapter 2(CD-ROM)
影响因子：
--
作者：
Shobhakar Dhakal;Keisuke Hanaki;Ai Hiramatsu;H.Murakawa
通讯作者：
H.Murakawa