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Static analysis of FGM cylindrical shells and the effect of stress concentration using quasi-3D type higher-order shear deformation theory

机译：FGM圆柱壳的静态分析及Quasi-3D型高阶剪切变形理论的应力集中效应

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摘要

This paper explores the stress concentration effect and the static responses of FGM cylindrical shells with various boundary conditions using the quasi-3D type higher-order shear deformation theory and the analytical approach. The displacement field is expressed by polynomials of the coordinate along the thickness direction. Compared to the polynomial used to analyze the transverse displacement, the order of the in-plane displacement polynomial is increased by one. The equations of equilibrium and their corresponding boundary conditions are derived based on the principle of virtual work. Using simple trigonometric series and the Laplace transform, the solutions of boundary problems with different conditions are derived. The results from the present theoretical models are compared with previously published data using several other models, including the 3D exact model. The paper also exhibits the effects of the boundary condition, the relative thickness, the relative length and the power-law index on the displacements and the stresses of shells. The stress concentration phenomenon is studied, and then the effects of several structural and material parameters on the concentrated stress are shown and assessed.
机译：本文探讨了使用Quasi-3D型高阶剪切变形理论和分析方法对各种边界条件的FGM圆柱壳的应力集中效应和静态响应。位移场由沿厚度方向的坐标的多项式表示。与用于分析横向位移的多项式相比，面内位移多项式的顺序增加一个。基于虚拟工作原理导出均衡的方程及其相应的边界条件。使用简单的三角序列和拉普拉斯变换，导出了不同条件的边界问题的解决方案。将本理论模型的结果与先前发布的数据使用几种其他模型进行比较，包括3D精确模型。本文还表现出边界条件，相对厚度，相对长度和电力法指数对位移的影响和壳的应力。研究了应力浓度现象，然后示出并评估了几种结构和材料参数对浓度的影响。

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