Nonlocal shear deformable shell model for bending buckling of microtubules embedded in an elastic medium

A nonlocal shear deformable shell model is developed for buckling of microtubules embedded in an elastic matrix of cytoplasm under bending in thermal environments. The results reveal that the lateral constraint has a significant effect on the buckling moments of a microtubule when the foundation stiffness is sufficiently large.     

单壁及双壁纳米碳管径向压缩特性的分子动力学研究

采用Tersoff-Brenner势与L-J势的分子动力学方法,研究了双石墨层作用下(13,0)(、22,0)锯齿形碳管以及它们组合的(13,0)/(22,0)双壁碳管的径向压缩力学特性.根据计算结果,讨论了三种碳管压缩过程中的构型、能量、压缩载荷等的变化及其差异.研究表明,压缩过程中,(22,0)碳管出现了明显的“塌陷”现象,“塌陷”时,能量及外载一度下降;(13,0)/(22,0)碳管的能量吸收能力及承受压缩载荷能力最大;(22,0)碳管的能量吸收能力与承受压缩载荷能力最差,且体积最容易压缩;当压缩应变小于12%时,(13,0)/(22,0)碳管的内管的构型、体积及其能量变化量均很小;内壁与外壁之间的Van der Waals能在整个压缩(13,0)/(22,0)碳管能量变化中仅占很小的份额.     

范德华力对双壁碳纳米管轴向压缩屈曲行为的影响

使用分子动力学方法研究几种不同半径尺寸的单壁碳纳米管组成的双壁碳管，预测了其初始稳定构型；分析了其自由弛豫阶段的特征；并模拟了它们在轴向压缩载荷作用下的屈曲行为；研究了不同层间距导致的范德华力变化对屈曲行为的影响.采用Tersoff-Brenner势描述单壁碳纳米管内原子间作用，Lennard-Jones势描述内外层间的范德华相互作用.计算结果表明：在通常意义下的双壁管间距(约0.34 nm)外还可以存在稳定的双壁碳管构型，并且这些新的稳定构型表现出了不同的力学性质. 关键词： 双壁碳纳米管 分子动力学 屈曲     

Molecular dynamics studies on the thermal conductivity of single-walled carbon nanotubes

We have studied the thermal conductivity of single-walled carbon nanotubes (SWCNTs) using the NEMD method. The results indicate that the thermal conductivity values are not profoundly influenced by the specific simulation-technique used in the MD simulations. Some possible reasons, which could be responsible for the discrepancy on thermal conductivity values of SWCNTs in the literatures, are discussed.      

Radial breathing vibration of double-walled carbon nanotubes subjected to pressure

A theoretical vibrational analysis of the radial breathing mode (RBM) of double-walled carbon nanotubes (DWCNTs) subjected to pressure is presented based on an elastic continuum model. The results agree with reported experimental results obtained under different conditions. Frequencies of the RBM in DWCNTs subjected to increasing pressure depend strongly on circumferential wave numbers, but weakly on the aspect ratio and axial half-wave numbers. For the inner and outer tubes of DWCNTs, the frequency of the RBM increases obviously as the pressure increases under different conditions. The range of variation is smaller for the inner tube than the outer tube.     

热力耦合作用下双层碳纳米管的扭转屈曲

考虑碳纳米管周边弹性介质和层间范德瓦耳斯力的作用,利用连续介质力学的壳体理论,建立了热力耦合作用下碳纳米管屈曲问题的控制方程,给出了相应的临界屈曲扭矩的解析解.数值模拟结果表明,在低温和室温环境下,碳纳米管的临界屈曲载荷随着温度变化量的增加而提高;在高温环境下,碳纳米管的临界屈曲载荷随着温度变化量的增加而降低. 关键词： 碳纳米管 屈曲 热力耦合     

A hybrid continuum and molecular mechanics model for the axial buckling of chiral single-walled carbon nanotubes

The purpose of this study is to describe the axial buckling behavior of chiral single-walled carbon nanotubes (SWCNTs) using a combined continuum-atomistic approach. To this end, the nonlocal Flugge shell theory is implemented into which the nonlocal elasticity of Eringen incorporated. Molecular mechanics is used in conjunction with density functional theory (DFT) to precisely extract the effective in-plane and bending stiffnesses and Poisson's ratio used in the developed nonlocal Flugge shell model. The Rayleigh-Ritz procedure is employed to analytically solve the problem in the context of calculus of variation. The results generated from the present hybrid model are compared with those from molecular dynamics simulations as a benchmark of good accuracy and excellent agreement is achieved. The influences of small scale factor, commonly used boundary conditions and chirality on the critical buckling load are fully explored. It is indicated that the importance of the small length scale is affected by the type of boundary conditions considered.     

Influence of chirality on the thermal conductivity of single-walled carbon nanotubes

The influence of chirality on the thermal conductivity of single-walled carbon nanotubes(SWNTs) is discussed in this paper, using a non-equilibrium molecular dynamics(NEMD) method. The tube lengths of the SWNTs studied here are 20, 50, and 100 nm, respectively, and at each length the relationship between chiral angle and thermal conductivity of a SWNT is revealed. We find that if the tube length is relatively short, the influence of chirality on the thermal conductivity of a SWNT is more obvious and that a SWNT with a larger chiral angle has a greater thermal conductivity. Moreover, the thermal conductivity of a zigzag SWNT is smaller than that of an armchair one. As the tube length becomes longer, the thermal conductivity increases while the influence of chirality on the thermal conductivity decreases.     

碳纳米管的生长机理、可控生长及应用探索

碳纳米管的可控制生长,及其宏观尺度结构的制备,对于碳纳米管的应用具有重要的意义,为了实现准确的生长控制,对碳纳米管生长机理的深入了解是不可缺少的前提条件.文章介绍了我们近年来在碳纳米管生长机理、可控生长及其应用方面的一些进展.通过引入^13C标记法,我们证实了化学气相沉积法中碳纳米管以析出模式生长;实时改变生长的气相成份和流量,可以在碳纳米管阵列上留下标记序列,并据此测量出其生长速率及活化能.将超顺排碳纳米管阵列的合成扩展到4英寸规模,并发展了用挥发性有机溶剂处理碳纳米管线的方法,大大提高了其强度和可操作性.处理后的碳纳米管线可以方便地用于热电子源、高电流密度冷阴极以及荧光灯等.热界面材料在IT产业中具有重要的应用背景,我们用碳纳米管阵列制备的复合材料具有极高的热导率和极低的界面热阻,同时发展了化学修饰、端部剪裁、金属集热层等新技术以制备高性能的碳纳米管热界面材料.     

拉伸条件下双壁碳纳米管弹性性能的原子模拟

利用分子动力学方法，对双壁碳纳米管在拉伸条件下的弹性性能进行模拟，研究了直径在1 nm以上的4根双壁碳纳米管，模拟了它们的应力-应变关系以及泊松比.计算结果表明，在弹性范围内，双壁碳纳米管的应力与应变呈非线性关系，切线弹性模量大致从720 GPa减小至570 GPa，出现软化现象；随着拉伸应变的增大，泊松比从0.3变化到0.17，但结构尺寸对泊松比的影响不大. 关键词： 双壁碳纳米管 分子动力学 弹性模量 泊松比     

碳纳米管的生长机理、可控生长及应用探索

碳纳米管的可控制生长,及其宏观尺度结构的制备,对于碳纳米管的应用具有重要的意义,为了实现准确的生长控制,对碳纳米管生长机理的深入了解是不可缺少的前提条件.文章介绍了我们近年来在碳纳米管生长机理、可控生长及其应用方面的一些进展.通过引入13C标记法,我们证实了化学气相沉积法中碳纳米管以析出模式生长;实时改变生长的气相成份和流量,可以在碳纳米管阵列上留下标记序列,并据此测量出其生长速率及活化能.将超顺排碳纳米管阵列的合成扩展到4英寸规模,并发展了用挥发性有机溶剂处理碳纳米管线的方法,大大提高了其强度和可操作性.处理后的碳纳米管线可以方便地用于热电子源、高电流密度冷阴极以及荧光灯等.热界面材料在IT产业中具有重要的应用背景,我们用碳纳米管阵列制备的复合材料具有极高的热导率和极低的界面热阻,同时发展了化学修饰、端部剪裁、金属集热层等新技术以制备高性能的碳纳米管热界面材料.     

Observation of fluid layering and reverse motion in double-walled carbon nanotubes

Most modelling-based research in the field of carbon nanotube-related nano-fluidics has been concerned with the fluid flow in single-walled carbon nanotubes (SWCNTs), showing that the dynamics of the channel affect the structure and behaviour of the fluid. We have extended this work by modelling the flow of Ar in a double-walled carbon nanotube, and have modelled the flow in both the inner shell and the outer annular region of such a nanotube. We have found that the flows in these channels are strongly correlated, such that the fluid moves in opposite directions in these two regions. This phenomenon can give rise to a circulatory motion which can be exploited in nano-fluidic devices. Fluid layering phenomenon, that is usually associated with the flow of fluids in nano-scale channels, is also observed. Furthermore, we have also found that the fluid velocity in dynamic channels is smaller than in static channels, in line with the findings reported for single-walled carbon nanotubes.     

Combined torsional buckling of double-walled carbon nanotubes with axial load in the multi-field coupled condition

The present study has theoretically investigated the combined torsional buckling of double-walled carbon nanotubes (DWCNTs) with axial load in the multi-field coupled condition. The effects of torsion, axial load, thermal-electrical change, surrounding elastic medium and the Van der Waals forces are all taken into consideration. The governing equation of buckling for CNTs subjected to thermo-electro-mechanical loadings has been established based on an elastic shell model of continuum mechanics. Reasonable s...     

单壁碳纳米管单原子空位缺陷的紧束缚理论研究

文章在紧束缚势模型基础上系统地研究了非手性单壁碳纳米管上单原子空位缺陷结构和电子结构性质.计算表明,单原子空位缺陷会自发地形成5-1DB型缺陷, 且该缺陷的局域结构和形成能强烈地依赖于碳纳米管的尺寸、旋度和电学性质.同时作者发现这类缺陷在费米能级以上约0.2eV处产生局域的电子态.     

Scale effects on thermal buckling properties of carbon nanotube

In this Letter, the thermal buckling properties of carbon nanotube with small scale effects are studied. Based on the nonlocal continuum theory and the Timoshenko beam model, the governing equation is derived and the nondimensional critical buckling temperature is presented. The influences of the scale coefficients, the ratio of the length to the diameter, the transverse shear deformation and rotary inertia are discussed. It can be observed that the small scale effects are significant and should be considered for thermal analysis of carbon nanotube. The nondimensional critical buckling temperature becomes higher with the ratio of length to diameter increasing. Furthermore, for smaller ratios of the length to the diameter and higher mode numbers, the transverse shear deformation and rotary inertia have remarkable influences on the thermal buckling behaviors.     

A nonlocal Levinson beam model for free vibration analysis of zigzag single-walled carbon nanotubes including thermal effects

A nonlocal Levinson beam model is developed to study the free vibrations of a zigzag single-walled carbon nanotube (SWCNT) in thermal environments. The equivalent Young’s modulus and shear modulus for a zigzag SWCNT are derived using an energy-equivalent model. The present study illustrates that the vibration characteristics of an SWCNT are strongly dependent on the temperature change and on the chirality of a zigzag carbon nanotube. The investigation of the chirality and temperature effects on free vibration of carbon nanotubes may be used as a useful reference for the application and the design of nanoelectronic and nanodrive devices, nano-oscillators, and nanosensors, in which carbon nanotubes act as basic elements.     

Vibrations of single- and double-walled carbon nanotubes with layerwise boundary conditions: A molecular dynamics study

In the present work, the vibration characteristics of single- and double-walled carbon nanotubes under various layerwise boundary conditions at different lengths are investigated. This is accomplished by the use of molecular dynamics simulations based on the Tersoff-Brenner and Lennard-Jones potential energy functions. The effects of initial tensile and compressive strains on the resonant frequency of carbon nanotubes are also taken into consideration. From the results generated, it is observed that the natural frequency of carbon nanotubes is strongly dependent on their boundary conditions especially when tubes are shorter in length. The natural frequency and its dependence on tube end conditions reduce by increasing the tube length. The natural frequency of DWCNTs lies between those of the constituent inner and outer SWCNTs and is nearer to those of the outer one. It is further observed that the natural frequency is highly sensitive to tensile and compressive strains. The frequency shift occurring in the presence of small initial strains is positive for tensile strains and negative for compressive strains. The results obtained provide valuable information for calibrating the small scaling parameter of the nonlocal models for the vibration problem of carbon nanotubes.     

公度双壁碳纳米管层间耦合对其场发射特性影响的研究

采用紧束缚能带理论，利用所提出的考虑卷曲效应的紧束缚能量哈密顿量，建立了公度双壁碳纳米管(DWNT)的能带结构模型；基于碳纳米管(CNT)发射电流与其能带结构的相关性，定量分析了公度DWNT的层间耦合作用对其场发射电流的影响.结果表明：在层间耦合作用下，DWNT的带结构中部分简并能级发生劈裂，同时使禁带宽度发生改变.前一个因素增加了电子发射的通道，后一个因素改变价带中参与发射的电子数量，导致在一定外电场下，DWNT与其外层的SWNT相比，场发射电流有一定程度的增加，且半导体性管发射电流增幅比金属性管大，在 关键词： 公度双壁碳纳米管 能带结构 层间耦合作用 卷曲效应     

液体水银在碳纳米管中传输的压力控制模型

碳纳米管在纳米技术中有一个很重要的应用,就是它可以作为纳米管道传输液体. 本文用分子动力学模拟方法,结合一个液体压力控制模型,对液体水银由于外部压力作用在碳纳米管中传输的现象进行研究. 研究结果表明,当液体水银的内部压强超过一个临界值时,液体水银能够浸入到碳纳米管内部;不断增大液体内部的压强,碳纳米管可以连续地传输液体;而当对液体水银进行循环加压时,碳纳米管可以间断地传输液体水银. 关键词： 碳纳米管 流体传输 分子动力学     

液体水银在碳纳米管中传输的压力控制模型

碳纳米管在纳米技术中有一个很重要的应用，就是它可以作为纳米管道传输液体. 本文用分子动力学模拟方法，结合一个液体压力控制模型，对液体水银由于外部压力作用在碳纳米管中传输的现象进行研究. 研究结果表明，当液体水银的内部压强超过一个临界值时，液体水银能够浸入到碳纳米管内部；不断增大液体内部的压强，碳纳米管可以连续地传输液体；而当对液体水银进行循环加压时，碳纳米管可以间断地传输液体水银.