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| 考虑碳纳米管非均匀分布的复合材料电导率计算 |
| Electrical conductivity of composites with heterogeneously distributed carbon nanotubes |
| 投稿时间：2022-03-30 修订日期：2022-05-11 |
| DOI： |
| 中文关键词: 碳纳米管 复合材料 随机场 电导率 有限元 |
| 英文关键词:carbon nanotube composite stochastic field electrical conductivity finite element |
| 基金项目:广东省自然科学基金资助项目（2020A1515011196）；汕头大学科研启动经费资助项目（NTF21046）；江西省自然科学基金资助项目（20202BABL214052)。 |
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| 中文摘要: |
| 碳纳米管作为导电相在机敏复合材料中广泛应用，但碳纳米管为团簇材料，在基体中很难均匀分散。本文考虑碳纳米管的非均匀分布特性，提出了计算碳纳米管复合材料电导率的数值方法。通过引入随机谐和函数，建立了碳纳米管体积分数的三维随机场模型。基于细观力学的有效介质理论、Mori-Tanaka方法和H-S界限理论，考虑碳纳米管之间的隧穿效应，发展了复合材料微小体积单元的电导率计算方法。在此基础上，构建了考虑碳纳米管非均匀分布的复合材料等效电导率三维有限元计算模型。数值分析结果与试验值能够很好吻合，表明这一方法可以准确计算碳纳米管复合材料的电导率。文中进一步分析了碳纳米管非均匀分布对复合材料电导率的影响。 |
| 英文摘要: |
| Carbon nanotubes have been widely used as conductive phase in smart composites. Unfortunately, carbon nanotube is a cluster material, and cannot be dispersed uniformly in matrix. Presently, an analytical approach is proposed to quantitatively predict the electrical conductivity of carbon nanotube composites, considering the non-uniform distribution of carbon nanotubes in matrix. To do that, the volume fraction of carbon nanotubes is modeled as a three-dimensional stochastic field. Based on the effective medium theory, Mori-Tanaka method and H-S bound theory, a method is developed to calculate the electrical conductivity of composites in micro-volume, incorporating the tunneling effect between carbon nanotubes. Finite element analysis is then introduced to predict the electrical conductivity of composites with heterogeneously distributed carbon nanotubes. Numerical results obtained agree well with experimental data. Furthermore, the effect of heterogeneous distribution of carbon nanotubes on the electrical conductivity of composites is discussed. |
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