期刊
PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES
卷 87, 期 -, 页码 301-307出版社
ELSEVIER
DOI: 10.1016/j.physe.2016.10.046
关键词
Viscoelastic single walled nanotube; Viscoelastic wave; Threshold diameter; Blocking diameter; Nonlocal strain gradient theory; Timoshenko beam
资金
- Fundamental Research Funds for the Central Universities of China [2014JBZ014]
- National Natural Science Foundation of China [11272046]
- National Basic Research Program of China (973Program) [2015CB057800]
Based on the nonlocal strain gradient theory and Timoshenko beam model, the properties of wave propagation in a viscoelastic single-walled carbon nanotube (SWCNT) are investigated. The characteristic equations for flexural and shear waves in visco-SWCNTs are established. The influence of the tube size on the wave dispersion is clarified. For a low damping coefficient, threshold diameter for shear wave (SW) is observed, below which the phase velocity of SW is equal to zero, whilst flexural wave (FW) always exists. For a high damping coefficient, SW is absolutely constrained, and blocking diameter for FW is observed, above which the wave propagation is blocked. The effects of the wave number, nonlocal and strain gradient length scale parameters on the threshold and blocking diameters are discussed in detail.
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