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Buckling of spinning functionally graded graphene reinforced porous nanocomposite cylindrical shells: An analytical study

机译：纺丝功能梯度石墨烯增强多孔纳米复合圆柱壳的屈曲：分析研究

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This paper investigates the buckling behavior of functionally graded graphene reinforced porous nanocomposite cylindrical shells with spinning motion and subjected to a combined action of external axial compressive force and radial pressure. The weight fraction of graphene platelet (GPL) nanofillers and porosity coefficient are constant in each concentric cylindrical shell but vary layer-wise through the thickness direction, resulting in position-dependent elastic moduli, mass density and Poisson's ratio along the shell thickness. The first-order shear deformation theory incorporated with the von Karman's geometrical nonlinearity is employed to describe the pre-buckling deformation. The governing equations of the cylindrical shell are established by using the minimum potential energy principle where the centrifugal effect due to the spinning motion of the cylindrical shell is considered. The pre-buckling deformation is derived by adopting the Galerkin method, then the axial critical buckling force, radial critical buckling pressure and critical buckling hydrostatic pressure are obtained with the effect of pre-buckling deformation being taken into account. Special attention is given to the effects of the porosity coefficient, the weight fraction, the dispersion pattern, the geometrical size of the GPL and spinning speed of the cylindrical shell on the pre-buckling deformation and different types of critical buckling loads of the porous nanocomposite cylindrical shell. (C) 2018 Elsevier Masson SAS. All rights reserved.
机译：本文研究了功能梯度的石墨烯增强的多孔纳米复合材料圆柱壳的自旋运动并在外部轴向压缩力和径向压力的共同作用下的屈曲行为。石墨烯血小板（GPL）纳米填料的重量分数和孔隙率系数在每个同心圆柱壳中都是恒定的，但在厚度方向上逐层变化，从而导致沿位置的弹性模量，质量密度和沿着壳厚度的泊松比。结合von Karman几何非线性的一阶剪切变形理论被用来描述预屈曲变形。通过使用最小势能原理建立圆柱壳的控制方程，其中考虑了圆柱壳旋转运动引起的离心效应。采用Galerkin方法推导了预屈曲变形，并考虑了预屈曲变形的影响，得到了轴向临界屈曲力，径向临界屈曲压力和临界屈曲静水压力。特别注意孔隙率，重量分数，分散模式，GPL的几何尺寸和圆柱壳的旋转速度对多孔纳米复合材料的预屈曲变形和不同类型的临界屈曲载荷的影响。圆柱壳。 （C）2018 Elsevier Masson SAS。版权所有。

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