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Variational asymptotic modeling of the multilayer functionally graded cylindrical shells

机译：多层功能梯度圆柱壳的变分渐近建模

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摘要

An efficient high-fidelity shell model is developed for heterogeneous multilayer cylindrical shells made of functionally graded material by using the variational asymptotic method (VAM). Taking advantage of the smallness parameters inherent in the shell structure, the VAM is applied to rigorously decouple the 3-D, anisotropic elasticity problem into a 1-D through-the-thickness analysis and a 2-D shell analysis. The through-the-thickness analysis servers as a link between the original 3-D analysis and the shell analysis by providing a constitutive model for the shell analysis and recovering the 3-D field variables in terms of global responses calculated by the shell analysis. The present model is valid for large displacements and global rotations and can capture all the geometric nonlinearity of a shell when the strains are small. A cylindrical bending example of a homogeneous substrate with a thin SiC-Al functionally graded coating under sinusoidal pressure on the top surface is used to validate this model.
机译：通过使用变分渐近方法（VAM），为功能梯度材料制成的异质多层圆柱壳开发了一种有效的高保真壳模型。利用壳结构固有的小参数，将VAM应用于将3-D各向异性弹性问题严格解耦为1-D厚度分析和2-D壳分析。通过为壳分析提供一个本构模型并根据由壳分析计算出的整体响应来恢复3-D场变量，整个厚度分析服务器可作为原始3-D分析和壳分析之间的链接。本模型对大位移和整体旋转有效，并且在应变较小时可以捕获壳体的所有几何非线性。使用均质衬底的圆柱弯曲实例，该衬底在顶表面上的正弦压力下具有薄的SiC-Al功能梯度涂层，用于验证该模型。

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  • 来源
    《Composite Structures》 |2012年第3期|p.966-976|共11页
  • 作者

    Zhong Yifeng; Chen Lei; Wenbin Yu;

  • 作者单位

    College of Civil Engineering, Chongqing University, Chongqing, PR China,Key Laboratory of New Technology of Construction of Cities in Mountain Area, Chongqing University, Ministry of Education, Chongqing 400045, PR China;

    College of Civil Engineering, Chongqing University, Chongqing, PR China,Key Laboratory of New Technology of Construction of Cities in Mountain Area, Chongqing University, Ministry of Education, Chongqing 400045, PR China;

    Utah State University, Logan, UT 84322-4130, USA;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    asymptotic series; functionally graded material; cylindrical shell; variational asymptotic method; simplified model;

    机译：渐近级数功能分级材料;圆柱壳变分渐近法简化模型;

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