Characteristics of wave propagating through carbon nanotubes investigated on the basis of micropolar elasticity
基于微极性弹性力学的碳纳米管中波的传播特性

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.