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Nonlinear elastic buckling and postbuckling of axially compressed functionally graded cylindrical shells

机译:轴向压缩功能梯度圆柱壳的非线性弹性屈曲和后屈曲

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摘要

Based on the nonlinear large deflection theory of cylindrical shells as well as the Donnell assumptions, this paper presents nonlinear buckling and postbuckling analyses for axially compressed functionally graded cylindrical shells by using the Ritz energy method and the nonlinear strain-displacement relations of large deformation. The material properties of the shells vary smoothly through the shell thickness according to a power law distribution of the volume fraction of constituent materials. Meanwhile, by taking into account the temperature-dependent material properties, various effects of external thermal environment are also investigated. Numerical results show various effects of the inhomogeneous parameter, dimensional parameters and external thermal environments on nonlinear buckling and postbuckling behaviors. There is a mode-jumping observed after buckling. The present theoretical results are verified by those in the literature.
机译:基于圆柱壳的非线性大挠度理论和Donnell假设,本文利用Ritz能量方法和大变形的非线性应变位移关系,对轴向压缩的功能梯度圆柱壳进行了非线性屈曲和后屈曲分析。壳的材料特性根据组成材料的体积分数的幂律分布在壳厚度上平滑地变化。同时,通过考虑与温度有关的材料特性,还研究了外部热环境的各种影响。数值结果表明,非均匀参数,尺寸参数和外部热环境对非线性屈曲和后屈曲行为的各种影响。屈曲后观察到模式跳跃。目前的理论结果已被文献证实。

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