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。

Dynamic buckling in the carbon nanotube under impact torque

The dynamic buckling in single-wall carbon nanotubes subjected to impact torque loading has been investigated with a continum model.A single-wall carbon nanotube can be modeled as an elastic cylindrical shell of semi-infinite length.The dynamic buckling under impact torque is reduced to a bifurcation problem caused by the torsion stress wave propagation.The bifurcation problem can be converted to the solutions for a set of nonlinear equations.The numerical computation has been carried out,and the effects of various parameters on the dynamic buckling are discussed.It is found that a single-wall carbon nanotube has powerful resistance to impact torque,the critical shearing stress for dynamic buckling may reach up to a few hundred GPa.