Abstract

This article aims to investigate the post-buckling behavior of plates and cylindrical panels made of functionally graded materials (FGM) and carbon-nanotubes reinforced composites (FG-CNTRC) under mechanical loads. Unlike the other high order shear deformation theories, the proposed formulation is elaborated within a double directors finite shell element which allows a parabolic distribution of the transverse shear strains, guarantee the zero condition of the transverse shear stresses on the extreme surfaces of the shell and introduces large deformations and finite rotations through a non-linear framework. Newton-Raphson with arc length control solution strategy is used to resolve the equilibrium paths. A power-law distribution and the extended rule of mixture are used to determine the effective material properties of functionally graded materials and carbon-nanotubes reinforced composites. The effectiveness and the accuracy of the formulation is checked via several comparisons with published results in the literature. Especially, some complex post-buckling curves of FGM and FG-CNTRC curved panels and plates with different mechanical loadings are provided that could be useful for future references. The effects of various parameters are also reported.

摘要

本文旨在研究由功能梯度材料 (FGM) 和碳纳米管增强复合材料 (FG-CNTRC) 制成的板和圆柱板在机械载荷下的后屈曲行为。与其他高阶剪切变形理论不同，所提出的公式是在双导向有限壳单元内详细阐述的，该单元允许横向剪切应变的抛物线分布，保证壳极端表面上横向剪切应力的零条件，并引入通过非线性框架进行大变形和有限旋转。具有弧长控制求解策略的 Newton-Raphson 用于求解平衡路径。幂律分布和混合扩展规则用于确定功能梯度材料和碳纳米管增强复合材料的有效材料性能。通过与文献中公布的结果进行多次比较来检查配方的有效性和准确性。特别是，提供了一些具有不同机械载荷的 FGM 和 FG-CNTRC 弯曲面板和板的复杂后屈曲曲线，可用于未来参考。还报告了各种参数的影响。提供了一些具有不同机械载荷的 FGM 和 FG-CNTRC 弯曲面板和板的复杂后屈曲曲线，可用于未来参考。还报告了各种参数的影响。提供了一些具有不同机械载荷的 FGM 和 FG-CNTRC 弯曲面板和板的复杂后屈曲曲线，可用于未来参考。还报告了各种参数的影响。