论文标题
在合规性离散化下，欧拉屈曲标准的软化
Softening of the Euler buckling criterion under discretisation of compliance
论文作者
论文摘要
Euler在1744年在出乎意料的小载荷下解决了高薄柱崩溃的问题。在外部压力下，圆形弹性环或管子崩溃的类似问题在数学上是棘手的，并且最近完全解决了。在碳纳米管的背景下，在实验和原子模拟中发现了另一种现象，但没有解释：较小直径管的塌陷压力偏离了连续力学解决方案以下[Torres-Dias等人[Torres-Dias等人，碳123，145（2017）]。在这里，这种偏差显示出在离散的直柱中发生，并用声子分散曲线充分说明。这揭示了离散系统的静态机械性能与通过分散曲线描述的动力学之间的意外联系。
Euler solved the problem of the collapse of tall thin columns under unexpectedly small loads in 1744. The analogous problem of the collapse of circular elastic rings or tubes under external pressure was mathematically intractable and only fully solved recently. In the context of carbon nanotubes, an additional phenomenon was found experimentally and in atomistic simulations but not explained: the collapse pressure of smaller diameter tubes deviates below the continuum mechanics solution [Torres-Dias et al., Carbon 123, 145 (2017)]. Here, this deviation is shown to occur in discretized straight columns and it is fully explained in terms of the phonon dispersion curve. This reveals an unexpected link between the static mechanical properties of discrete systems and their dynamics described through dispersion curves.
