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本文基于高阶Cauchy-Born准则所建立的单壁碳纳米管本构模型系统地研究了单壁碳纳米管的轴向变形诱导的扭转变形以及径向变形间的耦合机理,同时考察了碳纳米管的曲率和手性角对该耦合行为的影响。研究结果表明单壁碳纳米管的轴向应变诱导的扭转以及径向变形的耦合行为仅发生于结构不对称的手性型单壁碳纳米管,且最大的轴向应变诱导的扭转响应发生于手性角为π/12的碳纳米管中。目前的研究成果将有助于单壁碳纳米管作为纳米器械以及纳米电子设备的设计和应用。
In this paper, based on the single-walled carbon nanotube constitutive model established by the Cauchy-Born criterion, we systematically studied the torsional deformation induced by axial deformation of single-walled carbon nanotubes and the coupling mechanism between them. Meanwhile, Effect of tube curvature and chiral angle on the coupling behavior. The results show that the axial strain-induced torsional and radial deformation of single-walled carbon nanotubes only occur in asymmetric chiral SWNTs, and the maximum axial strain-induced torsional response occurs in The chiral angle is π / 12 carbon nanotubes. The current research results will help single-walled carbon nanotubes as nano-devices and nano-electronic equipment design and application.