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Mechanical and thermal buckling of functionally graded axisymmetric shells

机译：功能渐变轴对称壳的机械和热屈曲

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The buckling analysis of functionally graded materials (FGM) axisymmetric plate-shell type structures under mechanical and termal loading is presented in this work. A numerical solution is obtained by expanding the variables in Fourier series in the circumferential direction and using conical frustum finite elements in the meridional direction. The finite element model, having two nodal circles and ten degrees of freedom per node, is based in the Kirchhoff-Love theory that includes the transverse shear deformations by introducing a penalty function, which corresponds to the first order shear deformation theory (FSDT), is suitable for both thin and thick axisymmetric plate/shell structures. The reduced number of finite elements, which are required to model even complex structures, combined with the use of a small number of discrete layers to model the continuous variation of the mechanical properties through the thickness of the structure, results in an extremely low computational time required for FGM buckling applications. An in-house program has been developed, and applications in a variety of axisymmetric shells are solved, including circular plates. The solutions obtained in mechanical and thermal buckling are discussed and compared with alternative models. .
机译：在这项工作中，提出了在机械和间接荷载下的功能梯度材料（FGM）轴对称板 - 壳型结构的屈曲分析。通过在圆周方向上扩展傅里叶串联的变量并在子午线方向上使用锥形截头有限元来获得数值溶液。具有两个节点圆圈和每节点十个自由度的有限元模型基于Kirchhoff-Love理论，其通过引入惩罚功能来包括横剪变形，这对应于第一阶剪切变形理论（FSDT），适用于薄且厚的轴对称板/壳结构。有限元数量减少，这是模型均匀的结构，结合使用少量离散层来模拟机械性能的连续变化通过结构的厚度来实现极低的计算时间FGM屈曲应用程序所需。已经开发了内部程序，并解决了各种轴对称壳中的应用，包括圆形板。与替代模型进行了讨论并与替代模型进行了讨论了机械和热屈曲中获得的溶液。 。

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