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.
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.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2007年第12期7070-7077,共8页
Acta Physica Sinica
基金
国家自然科学基金(批准号:10372031)资助的课题.~~
关键词
微极性弹性力学
碳纳米管
群速度
特征波面
micropolar elastic mechanics, carbon nanotube, group velocity, characteristic wave surface
