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Static analysis of functionally graded composite shells on elastic foundations with nonlocal elasticity theory
Archives of Civil and Mechanical Engineering ( IF 4.4 ) Pub Date : 2020-02-23 , DOI: 10.1007/s43452-020-00032-2
Mohammad Arefi , O. Civalek

The aim of this present work is to study the higher-order modelling of a cylindrical nano-shell resting on Pasternak’s foundation based on nonlocal elasticity theory. Third-order shear deformation theory is developed for modelling the kinematic relations, and nonlocal elasticity theory is developed for size-dependent analysis. The principle of virtual work is applied to derive static governing equations. The solution is presented for simply supported boundary conditions in terms of various important parameters. The numerical results including lower- and higher-order longitudinal and radial displacements are presented in terms of nonlocal parameter, two parameters of Pasternak’s foundation and some dimensionless geometric parameters such as length-to-radius ratio and length-to-thickness ratio.

中文翻译:

基于非局部弹性理论的弹性地基上功能梯度复合材料壳的静力分析

本工作的目的是基于非局部弹性理论研究基于Pasternak基础的圆柱形纳米壳的高阶建模。建立了三阶剪切变形理论来建立运动关系模型,并开发了非局部弹性理论来进行尺寸依赖分析。虚拟工作原理适用于推导静态控制方程。提出了针对各种重要参数的简单支持边界条件的解决方案。根据非局部参数,Pasternak基础的两个参数以及一些无量纲的几何参数(如长径比和长径比),给出了包括低阶和高阶纵向和径向位移的数值结果。
更新日期:2020-02-23
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