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Torsional buckling of graphene platelets (GPLs) reinforced functionally graded cylindrical shell with cutout

机译：石墨烯血小板（GPL）的增强屈曲功能梯度圆柱壳的屈曲屈曲

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This paper studies the torsional buckling of functionally graded cylindrical shells reinforced with graphene platelets (GPLs) through finite element method (FEM). The cylindrical shell is consisted of a number of layers in the thickness direction, in which the GPL concentration varies from layer to layer. The Young's modulus and Poisson's ratio of the composites are determined by Halpin-Tsai model and rule of mixture, respectively. The FEM model is validated by comparing present results with theoretical predictions for homogeneous shells. Parametric study is carried out to investigate the effects of the number of layers, the GPL distribution patterns, the dimensions of shell, the weight fraction and size of GPLs, and the existence of cutout on torsional buckling. The results demonstrate using multi-layers is accurate enough to obtain functionally graded structures. GPL distribution plays a significant role in the buckling. Increasing the number of layers significantly decreases the stress gradient between two adjacent layers. Square shaped GPLs with fewer layers are preferred as reinforcements. With the increase of cutout size, the buckling load decreases and the structure undergoes the transition from global to local buckling mode. Moreover, the effects of the slenderness, orientation and position of the cutout on buckling are examined.
机译：本文通过有限元方法（FEM）研究了石墨烯增强的功能梯度圆柱壳的扭转屈曲。圆柱壳由厚度方向上的多个层组成，其中GPL浓度随层的不同而变化。复合材料的杨氏模量和泊松比分别由Halpin-Tsai模型和混合规则确定。通过将当前结果与均质壳的理论预测进行比较，可以验证FEM模型的有效性。进行了参数研究，以研究层数，GPL分布方式，壳体尺寸，GPL的重量分数和大小以及切口对扭转屈曲的影响。结果表明，使用多层足够准确，可以获得功能渐变的结构。 GPL分布在屈曲中起着重要作用。增加层数会大大降低两个相邻层之间的应力梯度。层数较少的方形GPL优选用作增强材料。随着切口尺寸的增加，屈曲载荷减小，结构经历了从整体屈曲到局部屈曲的转变。此外，检查了切口的细长度，方向和位置对屈曲的影响。

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