一种新的碳纳米管壳理论
A New CNT-Oriented Shell Theory
摘要：
提出了一种线弹性正交各向异性壳理论，并将其应用于碳纳米管的连续建模。两个相关特征是：所选择的正交各向异性响应类型，其应适合于捕获手性差异;由于在多壁CNT中预期的壁间分离的变化而导致的厚度变化的可能性。还提出了一个简单的版本的理论，其中正交各向异性被保存，但厚度的变化被排除在外，旨在为可能的应用到单壁碳纳米管。这两个版本的本理论的另一个特点是扭转，轴向牵引，均匀内压和轮辋弯曲的边值问题，可以明确地解决在封闭的形式。指出了正在进行的进一步研究的各种方向。
英文摘要：
A theory of linearly elastic orthotropic shells is presented, with potential application to the continuous modeling of Carbon NanoTubes. Two relevant features are: the selected type of orthotropic response, which should be suitable to capture differences in chirality; the possibility of accounting for thickness changes due to changes in inter-wall separation to be expected in multi-wall CNTs. A simpler version of the theory is also proposed, in which orthotropy is preserved but thickness changes are excluded, intended for possible application to single-wall CNTs. Another feature of both versions of the present theory is boundary-value problems of torsion, axial traction, uniform inner pressure, and rim flexure, can be solved explicitly in closed form. Various directions of ongoing further research are indicated.
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