碳纳米管分子间联结压缩屈曲行为研究

由两个任意的碳纳米管组成的分子间联结IMJ(Intramolecular Junctions)可以应用于电子电路或电子仪器中.本文首先应用分子动力学模拟研究IMJ在大变形情况下的压缩屈曲行为.分子动力学模拟结果显示,应变率较小时,对临界压缩应变没有实质性影响;但当应变率较大时,对临界压缩应变有明显影响.这一结论为确定分...     

冲击扭矩作用下碳纳米管动力屈曲的研究

为了研究碳纳米管在冲击扭矩作用下的动力屈曲,采用了连续模型将碳纳米管模拟成半无限长的弹性连续圆柱壳。将冲击扭矩作用下碳纳米管的动力屈曲问题归结为由于扭转应力波传播导致的分叉问题,此分叉问题被化为一个非线性方程组的求解。最后进行了数值分析,讨论了碳纳米管的不同参数对动力屈曲的影响,发现碳纳米管有极强的抗冲击性,临界屈曲剪应力可高达几百吉帕。     

双层碳纳米管在扭矩作用下的屈曲

考虑双层碳纳米管层间范德华力的作用,利用连续介质力学的壳体理论,建立了扭矩作用下碳纳米管屈曲问题的双层弹性壳体模型,给出了相应的临界屈曲扭矩,分析了双层碳纳米管层间范德华力对临界屈曲扭矩的影响。     

圆柱约束下细长压杆屈曲及后屈曲行为

研究了轴向力作用下受圆柱横向约束的弹性杆的屈曲和后屈曲行为。通过有限元模拟,分析了细长压杆发生正弦和螺旋屈曲的轴向临界力,提出了正弦和螺旋屈曲临界点判定方法,且与文献结果比较验证了分析的正确性。同时考察了长细比和边界条件等因素对临界力的影响。结果表明正弦屈曲临界力和螺旋屈曲临界力随杆的长细比减小而增大。杆在一定长度范围内,端部约束条件对临界屈曲载荷及模态的影响不可忽略;当杆的长度足够长时,可以忽略边界条件对临界载荷的影响。     

不规则蜂窝材料在单向荷载作用下的蠕变屈曲分析

采用Norton蠕变理论和自由能守恒原理,分析了垂直与倾斜壁厚不等的非正六边形不规则蜂窝材料在面内单向应力作用下的蠕变屈曲行为,得到了蠕变屈曲临界应力与蠕变屈曲失效时间之间的函数关系.讨论了加载应力、初始缺陷、不规则蜂窝材料孔穴壁的厚度、长度与倾斜壁倾角对蠕变屈曲失效时间的影响.     

中厚圆柱壳在局部荷载下有限变形与屈曲分析

在柱壳的有限元计算中，采用Mindlin八结点杂交壳单元和增量荷载法，基于选择积分，缩减积分及完全积分三种积分模式编制了分层计算各种厚度板壳的有限元程序FEAM，并对中厚圆柱壳在局部法向均布荷载作用下的弹塑性有限变形和屈曲问题进行了分析和计算，算例表明，利用FEAM可对壳体屈曲的临界荷载及屈曲后结构的承载与形状改变作定性与定量的分析.     

矩形板在面内荷载作用下的非线性屈曲分析

本文分析了具有不同面内边界条件的矩形板,面内受到常位移梯度偏心加载和常荷载偏心距加载的条件下的屈曲后性能和极限荷载.计算中同时考虑了板初曲和残余应力的影响,成功地将线性有线条理论推广应用于解决板的大挠度弹塑性稳定问题.这一方法与目前研究此类问题的其它方法相比较,在同等精度下计算工作量小得多.     

考虑范德华力曲率效应的双壁碳纳米管外压屈曲

针对双壁碳纳米管外压屈曲问题,研究了层间范德华力的曲率效应对临界外压的影响。应用弹性双层圆柱壳模型,考虑层间范德华力不仅与层间距有关而且与挠度曲率的变化有关,导出了外压屈曲临界压力解析公式。计算得出在不同半径、不同长细比下,外压屈曲临界压力的数值结果,并与经典壳的结果和忽略范德华力曲率效应的结果做了比较。结果显示,对于小半径的双壁碳纳米管曲率效应对外压屈曲有效明显的影响。     

考虑剪切变形的各向同性,正交各向异性矩形板的屈曲和后屈曲

本文讨论考虑横向剪切变形的各向同性、正交各向异性矩形板的屈曲和后屈曲性态。应用Reissner理论,采用文[1]提供的摄动方法,给出了完善和非完善各向同性、正交各向异性矩形板的后屈曲平衡路径,并与薄板理论结果作了比较。     

弹性直杆动态屈曲与后屈曲的实验研究

对传统的霍普金森压杆装置（ＳＨＰＢ）进行改进,用于研究弹性直杆的动态屈曲与后屈曲,并且分析了影响实验精度的因素。实验结果表明,在轴向应力波作用下弹性直杆的动态屈曲临界载荷明显高于静态的,并且在屈曲发生后,在直杆中有弯曲波产生,其波速大约为弹性剪切波的波速。     

非公度双壁碳纳米管的层间摩擦

由于层间距和手性的耦合影响,非公度双壁碳纳米管的层间摩擦行为比较复杂,其规律至今仍不清楚.论文采用分子动力学模拟方法,研究了非公度双壁碳纳米管的层间摩擦特性.总体来说,层间距较小或层间手性角差较小时,层间摩擦力较大.当层间手性角差在10°以上时,层间接触接近非公度接触,层间摩擦力几乎不受层间手性影响;此时在层间平衡位置附近(0.34±0.02 nm),层间摩擦力与层间距之间近似呈线性关系.无论层间手性如何匹配,边界原子所受摩擦力总是大于内部原子所受摩擦力,显示边界效应是纳尺度摩擦中的一个普遍现象.     

POSTBUCKLING OF CARBON NANOTUBES SUBJECTED TO CYCLIC LOAD

This study focuses on the postbuckling and the nonlinear behavior of single-walled carbon nanotubes subject to a cyclic axial compressive load through the use of molecular dynamic simulation based on the Tersoff-Brenner potential. It reveals the bifurcation behavior in the buckling process simulated with very fine time steps. In the whole cycle of nonlinear deformation, the carbon nanotubes exhibit the profound hysteretic behavior and the energy absorption ability. The molecular dynamics simulation indicates that the carbon nanotube behaves approximately as an ideal plastic spring when the cyclic strain is applied within the same postbuckling mode. In comparison, the theory of continuum mechanics gives a good prediction about the critical buckling strength, but only provides a rough estimation for the post-buckling behaviors.     

Buckling and postbuckling of stiffened cylindrical shells under axial compression

Buckling and postbuckling behaviors of perfect and imperfect,stringer andorthotropically stiffened cylindrical shells have been studied under axial compression.Based on the boundary layer theory for the buckling of thin elastic shells suggested in ref.[1],a theoretical analysis is presented.The effects of material properties of stiffeners andskin,which are made of different materials,on the buckling load and postbuckling behaviorof stiffened cylindrical shells have also been discussed.     

Shell Buckling of Imperfect Multiwalled Carbon Nanotubes—Experiments and Analysis

Experiments were conducted in which multiwalled carbon nanotubes were subjected to uniaxial compression and shell-buckling loads were measured. A comparison with existing theoretical models shows that the predictions are about 40–50% smaller than the experimentally measured buckling loads. This is in contrast to the classical elastic shell studies in which the experimental values were always substantially lower than the predicted values due to imperfection sensitivity. It is proposed that the discrepancy between the predicted and measured value might be due to imperfections in the multiwalled nanotubes in the form of sp ³ bonds between the tube walls, which introduce shear coupling between them. An analytical model is presented to estimate the effect of the shear coupling on the critical buckling strain, which shows that the contribution from shear coupling increases linearly with the effective shear modulus between the walls. Further, this contribution increases with the number of walls; the increment from each additional wall progressively decreases.     

范德华力对多壁纳米碳管力学性质的影响

用分子动力学方法模拟了多壁纳米碳管在压缩、弯曲变形下力与变形的关系.通过与组成多壁碳管的各单壁碳管的比较分析,揭示了多壁纳米碳管层间范德华力对碳管力学性质的影响.采用Tersoff-Brenner势描述每一单壁纳米碳管内原子间作用,采用Lennard-Jones势描述碳管壁间范德华力.计算结果表明:多壁纳米碳管的比强度明显高于单壁纳米碳管.纳米碳管的半径虽然对杨氏模量影响不大,但对纳米碳管的曲屈行为影响却相当显著.     

外压加筋圆柱壳总体屈曲Koiter——边界层奇异摄动法

将Ｋｏｉｔｅｒ理论和奇异摄动理论中的边界层法相结合处理加筋圆柱壳无因次化非线性边界层型Ｋａｒｍａｎ－Ｄｏｎｎｅｌ方程由分支点和边界层导致的双重奇异性，提出外压加筋圆柱壳总体屈曲Ｋｏｉｔｅｒ—边界层奇异摄动法。从摄动意义上分析边界条件，前屈曲非线性和初始几何缺陷对外压加筋圆柱壳屈曲载荷的影响。算例表明，本方法具有良好的计算效率和计算精度，与数值解相比更能揭示内在影响规律。     

碳纳米管与石墨基底间摩擦耗散的分子动力学模拟研究

采用分子动力学模拟方法研究了公度、不公度2种情况下碳纳米管在石墨基底上运动的摩擦机制与能量耗散,计算中先使碳纳米管在石墨基底上弛豫平衡,而后施加持续500 fs的固定外力,撤去外力后碳纳米管在基底上减速至相对基底静止.结果表明:在公度条件下,碳纳米管先在石墨基底上滑动,动能降低到一定值后出现翻转、滚动、滑动交替进行的现象.所受侧向力(即摩擦力)在滑动阶段呈现周期性变化,在开始滚动时摩擦力达到负向最大;在不公度条件下,碳纳米管在石墨基底上一直处于滑动状态,侧向力始终为负值;在公度情况下,侧向力对称性的破缺由碳纳米管底部原子与石墨基底原子间的法向趋近与分离引起,并由此而产生摩擦;碳纳米管与石墨基底原子间的相互作用为斥力-碰撞型,黏性摩擦造成了能量耗散.     

复合材料多墙盒段弯扭耦合下的屈曲和后屈曲

针对复合材料典型多墙盒段,采用试验和有限元分析相结合的方法,研究了弯扭耦合载荷作用下的稳定性、承载能力及损伤起始、扩展情况．试验采用数字图像相关(Digital Image Correlation, DIC)测量方法捕捉试验件屈曲模态的变化过程,通过载荷-应变曲线获得屈曲和后屈曲破坏载荷．数值仿真基于ABAQUS/Explicit模块,采用Hashin准则结合刚度降的VUSDFLD子程序模拟复合材料的屈曲和后屈曲行为．研究结果表明,多墙盒段在弯扭载荷组合作用下发生屈曲时,扭矩会改变屈曲模态的分布形式和对称性,屈曲鼓包依然保持波峰、波谷交替出现;多墙盒段后屈曲阶段历程较长,屈曲模态由一阶向高阶逐渐发展,直到结构发生过大变形,彻底破坏而失去承载能力．     

Buckling and postbuckling behavior of antisymmetrically angle-ply laminated composite plates

The buckling and postbuckling behaviors of perfect and imperfect antisymmetricallyangle-ply laminated composite plates under uniaxial compression have been studied byperturbation technique which takes deflection as its perturbation parameter.In this paper,the effects of in-plane boundary conditions,angles,total number oflayers and initial geometric imperfection on the postbuckling behavior of laminated plateshave been discussed.