基于有限元轴对称分析的碳纳米管场增强因子建模与计算  

Modeling and Calculation of Carbon Nanotubes Field Enhancement Based on the Axisymmetric Finite Element Analysis

作　　者：霍海波[1] 麻华丽[1] 丁佩[1] 曾凡光[1] 

机构地区：[1]郑州航空工业管理学院数理系,郑州450015

出　　处：《人工晶体学报》2014年第12期3290-3294,共5页Journal of Synthetic Crystals

基　　金：国家自然科学基金(51072184;61274012);河南省高等学校青年骨干教师资助计划项目(2011GGJS-140);郑州市科技局普通科技攻关计划项目(141PPTGG389)

摘　　要：通过采用二维建模而后旋转成为三维模型的轴对称分析,提出了一种基于有限元轴对称分析的碳纳米管建模方法,并计算了不同长径比的碳纳米管的场增强因子。通过对比轴对称模型与立体模型分析结果,证明轴对称模型在提高了网格划分精度的同时减小了计算量,提高了计算效率,并为类似的具有旋转对称特性的模型分析提供了一种切实可行的建模方法。相关计算表明,碳纳米管的场增强因子与其长径比的函数关系为β=h/ρ+2.00。A kind of carbon nanotubes modeling method was proposed, which is based on the axisymmetric analysis in finite element simulation by rotating the two-dimensional（ 2D） model to achieve three dimensional model. The field enhancement factors of the carbon nanotubes with different ratio of length to radius were investigated by this method and compared with what were obtained through threedimensional（ 3D） model. The calculation results demonstrate that the 2D axisymmetric analyses not only agree well with the simulation of 3D model,but also have the advantage of lower computational cost and higher efficiency. This provides a feasible method for investigating the model with rotational symmetry properties. The calculation results also indicate that the field enhancement factor and the ratio of length to radius for carbon nanotubes satisfy the relationship of β = h / ρ ＋ 2. 0.

关 键 词：有限元 碳纳米管 轴对称 场增强因子 

分 类 号：TB43[一般工业技术]