The manuscript investigates the buckling behaviour of Bernoulli-Euler nanobeams composed of Functionally-Graded (FG) materials with different cross-sectional shapes. This analysis is conducted using the surface stress-driven model of elasticity. The nonlocal governing equations for the elastostatic buckling problem are derived employing the principle of virtual work. The study also includes a parametric investigation, presenting and discussing the main results while varying the nonlocal parameter, material gradient index, the cross-sectional shapes and the constraints at the ends of the FG nanobeams. Critical loads are numerically calculated and compared with those obtained by other authors using the classical stress-driven model elasticity.

中文翻译：

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通过表面应力驱动模型对功能梯度纳米梁进行屈曲分析


该手稿研究了由具有不同横截面形状的功能梯度 （FG） 材料组成的伯努利-欧拉纳米梁的屈曲行为。该分析是使用表面应力驱动的弹性模型进行的。弹性屈曲问题的非局部控制方程是利用虚拟功原理推导的。该研究还包括参数研究，在改变非局部参数、材料梯度指数、横截面形状和 FG 纳米束末端的约束的同时，呈现和讨论主要结果。临界载荷是数值计算的，并与其他作者使用经典应力驱动模型弹性获得的载荷进行比较。