Abstract

A theoretical model that interprets the increase in the elastic modulus of carbon nanotube fibers upon the formation of π–π cross links between individual nanotubes in the fiber is proposed. It is shown that the following three factors affect the elastic modulus of a fiber: the elastic modulus of the initial nanotubes; the degree of interaction between individual nanotubes in the fiber; and its aspect ratio, i.e., the ratio of the fiber length to its diameter. At the point of transition of these interactions from repulsion to attraction, the elastic modulus of the fiber reaches the corresponding value for an individual carbon nanotube and exceeds it in the region of attractive interactions. The basic factor for the rigidity of carbon nanotube fibers is their structure, which is characterized by fractal dimension.

中文翻译：

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横向π-π-桥接对高模量碳纳米管纤维形成性能的影响

摘要

提出了一个理论模型，该模型解释了在纤维中单个纳米管之间形成 π-π 交联时碳纳米管纤维的弹性模量增加。结果表明，以下三个因素影响纤维的弹性模量：初始纳米管的弹性模量；纤维中单个纳米管之间的相互作用程度；及其纵横比，即纤维长度与其直径的比值。在这些相互作用从排斥到吸引的转变点，纤维的弹性模量达到单个碳纳米管的相应值，并在吸引相互作用的区域超过它。碳纳米管纤维刚性的基本因素是其结构，其特征是分形维数。