Mechanical properties of single-walled carbon nanotubes based on higher order Cauchy–Born rule
Mechanical properties of single-walled carbon nanotubes based on higher order Cauchy–Born rule
复制标题
DOI：
10.1016/j.ijsolstr.2005.05.049
复制
发表时间：
2006-03
影响因子：
3.6
通讯作者：
Xu Guo;Jianhua Wang;Hui Zhang
中科院分区：
文献类型：
--
作者：
Xu Guo;Jianhua Wang;Hui Zhang
基于高阶Cauchy-Born定则建立了纳米尺度连续介质理论，研究了碳纳米管的力学性质。该理论通过将二阶变形梯度纳入运动学描述，将微观和宏观长度尺度连接起来。此外，原子间相互作用势和碳纳米管的原子结构以一致的方式纳入到所提出的本构模型。因此，单壁碳纳米管可以看作是一个宏观的广义连续体与微观结构。在此基础上，预测了单壁碳纳米管和石墨的能量和尺寸相关的力学性能，并与现有的实验和理论数据进行了比较。
A nanoscale continuum theory is established based on the higher order Cauchy–Born rule to study the mechanical properties of carbon nanotubes. The theory bridges the microscopic and macroscopic length scale by incorporating the second-order deformation gradient into the kinematic description. Moreover, the interatomic potential and the atomic structure of carbon nanotube are incorporated into the proposed constitutive model in a consistent way. Therefore the single-walled carbon nanotube can be viewed as a macroscopic generalized continuum with microstructure. Based on the present theory, the energy and the size dependent mechanical properties of SWNT and graphite are predicted and compared with the existing experimental and theoretical data.