Investigation on thermoelastic wave propagation in viscoelastic single-walled carbon nanotubes with surface effect based on nonlocal elasticity and G-N theory

IF 2.9 3区 物理与天体物理 Q3 NANOSCIENCE & NANOTECHNOLOGY
Tengjie Wang, Xinfei Zhang, Tianhu He
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引用次数: 0

Abstract

In recent years, the influence of size-dependent effect on elastic wave propagation in viscoelastic single-walled carbon nanotubes (SWCNTs) has been considerably investigated. Due to the excellent thermal conductivity of viscoelastic SWCNTs, it is very meaningful to study the influence of size-dependent effect on thermoelastic wave propagation properties in viscoelastic SWCNTs under thermal environment. Nevertheless, few theoretical investigations have been carried out to predict the thermoelastic wave propagation properties of viscoelastic SWCNTs in the existing literatures. To fill this gap, the present work aims to establish the thermoelastic coupling model for viscoelastic SWCNTs based on the Euler-Bernoulli beam theory by combining the nonlocal elasticity theory and the G-N theory, taking the surface effect into account. By assuming the wave type solutions, the dispersion relationship between frequency (or phase velocity) and wave number is determined. The influences of the nonlocal parameter, the surface effect and the damping coefficient on the thermoelastic wave dispersion relation of viscoelastic SWCNTs at two different diameters are examined and the thermoelastic wave propagation properties are presented graphically.

基于非局部弹性和 G-N 理论的粘弹性单壁碳纳米管热弹性波传播研究
近年来,人们对粘弹性单壁碳纳米管(SWCNTs)中尺寸效应对弹性波传播的影响进行了大量研究。由于粘弹性单壁碳纳米管具有优异的导热性,研究热环境下粘弹性单壁碳纳米管的尺寸效应对热弹性波传播特性的影响非常有意义。然而,在现有文献中,很少有理论研究对粘弹性 SWCNT 的热弹性波传播特性进行预测。为了填补这一空白,本研究以欧拉-伯努利梁理论为基础,结合非局部弹性理论和 G-N 理论,并考虑表面效应,建立了粘弹性 SWCNT 的热弹性耦合模型。通过假设波型解,确定了频率(或相位速度)与波数之间的分散关系。研究了非局部参数、表面效应和阻尼系数对两种不同直径粘弹性 SWCNT 热弹性波频散关系的影响,并以图形方式展示了热弹性波的传播特性。
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来源期刊
CiteScore
7.30
自引率
6.10%
发文量
356
审稿时长
65 days
期刊介绍: Physica E: Low-dimensional systems and nanostructures contains papers and invited review articles on the fundamental and applied aspects of physics in low-dimensional electron systems, in semiconductor heterostructures, oxide interfaces, quantum wells and superlattices, quantum wires and dots, novel quantum states of matter such as topological insulators, and Weyl semimetals. Both theoretical and experimental contributions are invited. Topics suitable for publication in this journal include spin related phenomena, optical and transport properties, many-body effects, integer and fractional quantum Hall effects, quantum spin Hall effect, single electron effects and devices, Majorana fermions, and other novel phenomena. Keywords: • topological insulators/superconductors, majorana fermions, Wyel semimetals; • quantum and neuromorphic computing/quantum information physics and devices based on low dimensional systems; • layered superconductivity, low dimensional systems with superconducting proximity effect; • 2D materials such as transition metal dichalcogenides; • oxide heterostructures including ZnO, SrTiO3 etc; • carbon nanostructures (graphene, carbon nanotubes, diamond NV center, etc.) • quantum wells and superlattices; • quantum Hall effect, quantum spin Hall effect, quantum anomalous Hall effect; • optical- and phonons-related phenomena; • magnetic-semiconductor structures; • charge/spin-, magnon-, skyrmion-, Cooper pair- and majorana fermion- transport and tunneling; • ultra-fast nonlinear optical phenomena; • novel devices and applications (such as high performance sensor, solar cell, etc); • novel growth and fabrication techniques for nanostructures
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