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首页> 外文期刊>Physica, B. Condensed Matter >Bending wave propagation of carbon nanotubes in a bi-parameter elastic matrix
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Bending wave propagation of carbon nanotubes in a bi-parameter elastic matrix

机译：碳纳米管在双参数弹性矩阵中的弯曲波传播

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摘要

This article studies transverse waves propagating in carbon nanotubes (CNTs) embedded in a surrounding medium. The CNTs are modeled as a nonlocal elastic beam, whereas the surrounding medium is modeled as a bi-parameter elastic medium. When taking into account the effect of rotary inertia of cross-section, a governing equation is acquired. A comparison of wave speeds using the Rayleigh and EulerBernoulli theories of beams with the results of molecular dynamics simulation indicates that the nonlocal Rayleigh beam model is more adequate to describe flexural waves in CNTs than the nonlocal EulerBernoulli model. The influences of the surrounding medium and rotary inertia on the phase speed for single-walled and double-walled CNTs are analyzed. Obtained results turn out that the surrounding medium plays a dominant role for lower wave numbers, while rotary inertia strongly affects the phase speed for higher wave numbers.
机译：本文研究了嵌入周围介质中的碳纳米管（CNT）中传播的横向波。 CNT被建模为非局部弹性梁，而周围介质则被建模为双参数弹性介质。考虑到横截面的转动惯量的影响，就可以得到一个控制方程。使用射线束的Rayleigh和EulerBernoulli理论将波速与分子动力学模拟的结果进行比较表明，非局部Rayleigh束模型比非局部EulerBernoulli模型更适合描述CNT中的弯曲波。分析了周围介质和旋转惯性对单壁和双壁CNTs相速度的影响。得出的结果表明，周围介质在低波数中起主要作用，而旋转惯性对高波数有很大的影响。

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