| 基于微极性弹性力学的碳纳米管中波的传播特性 |
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| 引用本文： | 谢根全,夏平.基于微极性弹性力学的碳纳米管中波的传播特性[J].物理学报,2007,56(12):7070-7077. |
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| 作者姓名： | 谢根全 夏平 |
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| 作者单位： | 1. 湖南科技大学土木工程学院,湘潭,411201
2. 湖南工程学院机械工程系,湘潭,411205 |
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| 摘 要： | 基于微极性弹性理论推导出的碳纳米管的应力-应变关系，使用哈密顿原理建立了碳纳米管的动力学微分方程. 通过求动力学微分方程的波动解，获得碳纳米管中波的频率与波数的关系即弥散关系，另外还得到了波的群速度和特征波面. 对所得结果进行了讨论.
关键词：
微极性弹性力学
碳纳米管
群速度
特征波面
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| 关 键 词： | 微极性弹性力学 碳纳米管 群速度 特征波面 |
| 文章编号： | 1000-3290/2007/56(12)/7070-08 |
| 收稿时间： | 2006-11-10 |
| 修稿时间： | 2006年11月10 |
Characteristics of wave propagating through carbon nanotubes investigated on the basis of micropolar elasticity |
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| Xie Gen-Quan,Xia Ping.Characteristics of wave propagating through carbon nanotubes investigated on the basis of micropolar elasticity[J].Acta Physica Sinica,2007,56(12):7070-7077. |
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| Authors: | Xie Gen-Quan Xia Ping |
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| Abstract: | Relationship of stress and strain for a carbon nanotube was obtained on the basis of micropolar elasticity. The principle of Hamilton was utilized to derive the dynamic differential equation. Dispersion relationship (the relationship between frequency and wavenumber) of wave propagating through a carbon nanotube was obtained from the dynamic differential equation. In addition, group velocities and characteristic wave surfaces were also investigated. The obtained results are discussed. |
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| Keywords: | micropolar elastic mechanics carbon nanotube group velocity characteristic wave surface |
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