On the study of elastic properties of CNT-reinforced composites based on element-free MLS method with nanoscale cylindrical representative volume element

On the study of elastic properties of CNT-reinforced composites based on element-free MLS method with nanoscale cylindrical representative volume element
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基于纳米圆柱代表体积元无单元MLS法研究CNT增强复合材料弹性性能

DOI:
10.1016/j.compstruct.2015.01.006
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发表时间:
2015-06
影响因子:
6.3
通讯作者:
Liew K.M.
Liew K.M.
中科院分区:
工程技术1区
文献类型:
--
作者:
Wang J.F.;Liew K.M.

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提出了一种无单元细观力学方法来研究碳纳米管增强复合材料的弹性性能。在分析中考虑了一种三维纳米尺度的圆柱体代表性体积单元,其中碳纳米管和碳纳米管的基质都是基于连续介质力学的弹性材料。该模型被用来研究碳纳米管增强复合材料的有效力学性能。根据弹性力学理论,详细推导了三种加载情况下有效材料常数的计算公式。此外,还采用了基于移动最小二乘(MLS)近似和无网格Galerkin(EFG)方法的无网格法对所建立的模型进行评估。计算结果与其他解析和数值方法得到的解进行了比较。此外,这些结果还表明,碳纳米管的存在可以显著改善复合材料的纵向和横向特性。
This paper presents a micromechanical element-free method to study elastic properties of carbon nanotubes (CNTs) reinforced composites. A three-dimensional nanoscale cylindrical representative volume element (RVE) has been considered in the analysis, in which CNT and matrix are both modeled as elastic materials based on continuum mechanics. The proposed model is used to investigate the behaviors of CNT-reinforced composites with respect to their effective mechanical properties. The relevant formulas to extract the effective material constants for three loading cases are derived in detail, based on the elasticity theory. Besides, the meshless method based on the moving least-squares (MLS) approximation and element-free Galerkin (EFG) method is implemented to evaluate the established model. The computed results are compared with the available solutions obtained from other analytical and numerical methods. Moreover, these results show that the presence of CNTs can significantly improve the longitudinal and transverse characteristics of the composite materials.
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