In this article, buckling analysis of a porous nanocomposite cylindrical shell reinforced with graphene platelets (GPLs) using first-order shear deformation theory is carried out. Internal pores and GPLs are scattered uniformly and/or nonuniformly in the thickness direction. The mechanical properties such as the effective modulus of elasticity through the thickness direction are computed by the modified Halpin–Tsai micromechanics approach, whereas density and Poisson ratio are in accordance with the rule of mixtures. The Rayleigh–Ritz method is employed to obtain a critical buckling load of the graphene-reinforced porous cylindrical shell. The accuracy of the obtained formulation is validated by comparing the numerical results with those reported in the available literature as well as with the software ABAQUS. Moreover, the effects of patterns of internal pores and GPLs distribution, GPLs weight fraction, density and size of internal pores, different boundary conditions, geometric factors such as mid-radius to thickness ratio and shape of graphene platelets on the buckling performance of the functionally graded graphene platelet-reinforced composite porous cylindrical shell are explored.

中文翻译：

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使用 Rayleigh-Ritz 方法对功能梯度石墨烯增强多孔圆柱壳进行屈曲分析

在本文中，使用一阶剪切变形理论对用石墨烯薄片 (GPL) 增强的多孔纳米复合圆柱壳进行屈曲分析。内部孔隙和 GPL 在厚度方向上均匀和/或不均匀地分散。通过改进的 Halpin-Tsai 微观力学方法计算诸如沿厚度方向的有效弹性模量之类的机械性能，而密度和泊松比则符合混合物规则。Rayleigh-Ritz 方法用于获得石墨烯增强多孔圆柱壳的临界屈曲载荷。通过将数值结果与现有文献以及软件 ABAQUS 中报告的数值结果进行比较，验证了所获得公式的准确性。而且，