Fast HdBNM for large-scale thermal analysis of CNT-reinforced composites
Fast HdBNM for large-scale thermal analysis of CNT-reinforced composites
复制标题
DOI：
10.1007/s00466-007-0161-2
复制
发表时间：
2008-03
影响因子：
4.1
通讯作者：
Jianming Zhang;Masataka Tanaka
中科院分区：
文献类型：
--
作者：
Jianming Zhang;Masataka Tanaka
由于碳纳米管（CNT）的高导热性，它在开发新型复合材料方面具有很大的潜力。为了研究碳纳米管的分布对复合材料整体性能的影响，需要建立一个包含大量随机分布和取向的碳纳米管的代表性体积元（RVE）模型。然而，这样的RVE使用标准的数值方法分析面临着两个严重的困难，即离散化的几何形状和一个非常大的计算规模。本文采用边界型无网格方法的一种形式--混合边界节点法（HdBNM）来解决第一个困难。为了克服第二个困难，快速多极子方法（FMM）相结合的HdBNM解决一个简化的数学模型。已经分析了含有不同数量的具有不同长度、形状和排列的CNT的RVE，从而获得了对复合材料的热行为的有价值的见解。
Because of their high thermal conductivities, carbon nanotubes (CNT) have promising potential in development of fundamentally new composites. To study the influence of CNTs distribution on the overall properties of a composite, the modeling of a Representative Volume Element (RVE) including a large number of CNTs that are randomly distributed and oriented is necessary. However, analysis of such a RVE using standard numerical methods faces two severe difficulties, namely the discretization of the geometry and a very large computational scale. In this paper, the first difficulty is alleviated by employing the Hybrid Boundary Node Method (HdBNM), which is a form of the boundary type meshless methods. To overcome the second difficulty, the Fast Multipole Method (FMM) is combined with the HdBNM to solve a simplified mathematical model. RVEs containing various numbers of CNTs with different lengths, shapes and alignments have been analyzed, resulting in valuable insights gained into the thermal behavior of the composite material.