单壁碳纳米管的纳米信息壳理论
On a Nanoscopically-Informed Shell Theory of Single-Wall Carbon Nanotubes
摘要:
本文提出了一个自下而上的序列的建模步骤,导致一个nanoscopically通知连续,因此宏观,单壁碳纳米管(SWCNTs)的理论。我们提供了一个描述的两个最具代表性的类型的单壁碳纳米管,扶手椅(A-)和锯齿形(Z-),他们的模块和他们的基本键单元的几何形状。我们相信我们的理论是最简单的壳理论,能准确地解释A型和Z型碳纳米管的线性弹性响应。事实上,我们的理论可以证明,以适应单壁碳纳米管的任何手性,其主要的新功能可能是主张的手性依赖的概念的有效厚度和有效半径。
英文摘要:
This paper proposes a bottom-up sequence of modeling steps leading to a nanoscopically informed continuum, and as such macroscopic, theory of single-walled carbon nanotubes (SWCNTs). We provide a description of the geometry of the two most representative types of SWCNTs, armchair (A-) and zigzag (Z-), of their modules and of their elementary bond units. We believe ours to be the simplest shell theory that accounts accurately for the linearly elastic response of both A- and Z- CNTs. In fact, our theory can be shown to fit SWCNTs of whatever chirality; its main novel feature is perhaps the proposition of chirality-dependent concepts of effective thickness and effective radius.
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