On modeling of carbon nanotubes reinforced materials and on influence of carbon nanotubes spatial distribution on mechanical behavior of structural elements
On modeling of carbon nanotubes reinforced materials and on influence of carbon nanotubes spatial distribution on mechanical behavior of structural elements
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DOI：
10.1016/j.ijengsci.2019.06.008
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发表时间：
2019-10
影响因子：
6.6
通讯作者：
L. Nazarenko;A. Chirkov;H. Stolarski;H. Altenbach
中科院分区：
文献类型：
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作者：
L. Nazarenko;A. Chirkov;H. Stolarski;H. Altenbach
最近开发的近似方法建模的碳纳米管和碳纳米管增强材料的有效性能的评估被施加到分析单向拉伸下的方板与孔。假设板由具有随机分布和随机取向的碳纳米管的聚合物制成。碳纳米管的体积分数的分布是不同的表面上的板，与约束的结构中的纳米管的总体积是相同的，和应力集中的影响进行了评估。这种特殊的体积分数变化使得碳纳米管增强聚合物材料成为一种功能梯度材料。在计算局部有效性质时，将Gutrin-Murdoch材料表面模型应用于有限厚度的空心圆柱体，并结合能量等效的概念，将碳纳米管替换为等效的实心圆柱体。如果有界面，可以将其建模为弹簧层，然后添加以获得另一个等效的实心圆柱体。然后使用条件矩法对用这种实心圆柱体加固的材料进行评估，条件矩法是先前提出的用于确定随机材料的有效性质的随机均匀化方法。
A recently developed approximate approach for modeling of carbon nanotubes and for evaluation of the effective properties of carbon nanotubes reinforced materials is applied to analysis of square plate with hole under uniaxial tension. It is assumed, that the plate is made of polymer with randomly distributed and randomly oriented carbon nanotubes. Distributions of carbon nanotubes volume fraction is varied over the surface of the plate, with the constraint that the total volume of nanotubes in the structure is the same, and the effects of that on stress concentration is evaluated. Such special variation volume fraction makes the carbon nanotubes reinforced polymer a functionally graded material.In evaluation of the local effective properties the Gutrin–Murdoch material surface model is applied to a hollow cylinder of finite thickness and combined with the notion of energy equivalence to replace carbon nanotube with an equivalent solid cylinder. The interphase, if any, can be modeled as a spring layer and subsequently added to obtain another equivalent solid cylinder. The material reinforced with such solid cylinders is then evaluated using the method of conditional moments, a stochastic homogenization approach proposed earlier for determination of the effective properties of random materials.