Song J, Wu J, Huang Y, Hwang K C
Department of Mechanical and Aerospace Engineering, University of Miami, Coral Gables, FL 33124, USA.
Nanotechnology. 2008 Nov 5;19(44):445705. doi: 10.1088/0957-4484/19/44/445705. Epub 2008 Sep 30.
Boron nitride nanotubes display unique properties and have many potential applications. A finite-deformation shell theory is developed for boron nitride nanotubes directly from the interatomic potential to account for the effect of bending and curvature. Its constitutive relation accounts for the nonlinear, multi-body atomistic interactions, and therefore can model the important effect of tube chirality and radius. The theory is then used to determine whether a single-wall boron nitride nanotube can be modeled as a linear elastic isotropic shell. Instabilities of boron nitride nanotubes under different loadings (e.g., tension, compression, and torsion) are also studied. It is shown that the tension instability of boron nitride nanotubes is material instability, while the compression and torsion instabilities are structural instabilities.
氮化硼纳米管具有独特的性能，并有许多潜在应用。直接从原子间势出发，为氮化硼纳米管建立了有限变形壳理论，以考虑弯曲和曲率的影响。其本构关系考虑了非线性、多体原子相互作用，因此能够模拟管的手性和半径的重要影响。然后用该理论来确定单壁氮化硼纳米管是否可以被建模为线性弹性各向同性壳。还研究了氮化硼纳米管在不同载荷（如拉伸、压缩和扭转）下的不稳定性。结果表明，氮化硼纳米管的拉伸不稳定性是材料不稳定性，而压缩和扭转不稳定性是结构不稳定性。
