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首页> 外文期刊>Composite Structures >Elastoplastic and nonlinear analysis of functionally graded axisymmetric shell structures under thermal environment, using a conical frustum finite element model
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Elastoplastic and nonlinear analysis of functionally graded axisymmetric shell structures under thermal environment, using a conical frustum finite element model

机译：使用锥形截头圆锥有限元模型对热梯度下功能梯度轴对称壳结构进行弹塑性和非线性分析

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摘要

This work presents the formulation for static bending analysis of functionally graded axisymmetric plate/shell type structures under mechanical loading, and considering different structural behaviours: linear, geometric nonlinear and material nonlinear. The implemented model is based on a simple conical frustum finite element with 2 nodes, and 3 degrees of freedom per node, which includes shear deformation effects, and it shows to be extremely efficient in the analysis of axisymmetric shells subjected to axisymmetric loading. The used of reduced numerical integration procedure is essential for its success when applied to thin shells. The formulation accounts for the calculation of displacements and through-thickness stress distribution. The solutions for some illustrative examples involving variation of volume fractions are obtained, and the results are presented and compared with numerical alternative models when available, and discussed.
机译：这项工作为功能梯度的轴对称板/壳型结构在机械载荷下进行静态弯曲分析提供了公式，并考虑了不同的结构行为：线性，几何非线性和材料非线性。所实现的模型基于一个具有2个节点，每个节点3个自由度的简单圆锥形截头圆锥有限元，其中包括剪切变形效应，并且在分析轴对称载荷下的轴对称壳中显示出非常有效的模型。当应用于薄壳时，使用简化的数值积分程序对其成功至关重要。该公式考虑了位移和整个厚度应力分布的计算。获得了一些涉及体积分数变化的示例性实例的解决方案，并给出了结果，并与可用的数值替代模型进行了比较和讨论。

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