The elastic properties of boron nitride nanotubes (BNNTs) were investigated utilizing an enhanced energy method. By considering small deformations and applying the principle of minimum potential energy, the variations in atomic bonds and bond angles within the nanotube structure were determined. The modified model incorporated the contribution of inversion energy to the overall potential energy of the system, leading to the derivation of analytical expressions for the Young's modulus, shear modulus, and strain energy of both armchair and zigzag BNNTs under varying temperatures. The results indicate that compared to zigzag BNNTs, the impact of inversion energy on the elastic constants of armchair BNNTs is more significant, especially at small diameters (<1 nm). In thermal environment, this study demonstrates that the change in Young's modulus of BNNTs is lower than that of carbon nanotubes (CNTs), confirming the superior thermal stability of BNNTs over CNTs. Furthermore, molecular structure mechanics (MSM) and continuum mechanics models were employed to analyze the strain energy of BNNTs. The effects of different bonds, bond angles, and inversion angles on strain energy were analyzed in a thermal environment, revealing distinct differences between the two types of BNNTs. These findings provide more accurate theoretical guidance for thermal applications based on the stretching of BNNTs.

中文翻译：

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用改进的能量法分析单壁氮化硼纳米管的温度依赖性弹性特性


利用增强能量法研究氮化硼纳米管（BNNT）的弹性性能。通过考虑小变形并应用最小势能原理，确定了纳米管结构内原子键和键角的变化。修改后的模型纳入了反转能对系统整体势能的贡献，从而推导了不同温度下扶手椅式和锯齿形 BNNT 的杨氏模量、剪切模量和应变能的解析表达式。结果表明，与之字形 BNNT 相比，反转能量对扶手椅 BNNT 弹性常数的影响更为显着，特别是在小直径（<1 nm）下。在热环境中，本研究表明BNNT的杨氏模量变化低于碳纳米管（CNT），证实了BNNT比CNT具有优越的热稳定性。此外，采用分子结构力学（MSM）和连续介质力学模型来分析BNNT的应变能。在热环境中分析了不同键、键角和反转角对应变能的影响，揭示了两种类型的 BNNT 之间的明显差异。这些发现为基于 BNNT 拉伸的热应用提供了更准确的理论指导。