Sound wave propagation in single-walled carbon nanotubes using nonlocal elasticity

被引：260

作者：

Heireche, H. ^{[2
]}

Tounsi, A. ^{[1
]}

Benzair, A. ^{[1
,2
]}

Maachou, M. ^{[2
]}

Bedia, E. A. Adda ^{[1
]}

机构：

[1] Univ Djillali Liabes Sidi Bel Abbes, Lab Mat & Hydrol, Cite Ben Mhidi 22000, Sidi Bel Abbes, Algeria

[2] Univ Djillali Liabes Sidi Bel Abbes, Dept Phys, Cite Ben Mhidi 22000, Sidi Bel Abbes, Algeria

来源：

PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES | 2008年 / 40卷 / 08期

关键词：

carbon nanotubes; wave propagation; nonlocal elasticity; Euler-Bernoulli beam; Timoshenko beam;

D O I：

10.1016/j.physe.2007.12.021

中图分类号：

TB3 [工程材料学];

学科分类号：

0805 ; 080502 ;

摘要：

Based on the Bernoulli-Euler and Timoshenko beam theories, a single-elastic beam model using nonlocal elasticity is developed for the wave propagation in carbon nanotubes (CNTs). The small-scale effect is taken into consideration in the present theory. Frequency equations and modal shape functions of Timoshenko beams structures with some typical boundary conditions are also derived from nonlocal elasticity. In addition, the applicability of the two beam models is explored by numerical simulations. The research work reveals the significance of the small-scale effect on wave propagation in single-walled CNTs. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：2791 / 2799

页数：9

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