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An element-free based IMLS-Ritz method for buckling analysis of nanocomposite plates of polygonal planform

机译：基于无元素的IMLS-Ritz方法进行多边形平面纳米复合板屈曲分析

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摘要

The buckling behavior of nanocomposite plates of polygonal planform under in-plane loads is examined. The plate under consideration is reinforced by single-walled carbon nanotubes (CNTs). The governing eigenvalue equation to this problem is derived based on the first-order shear deformation plate theory (FSDT) with a set of element-free shape functions in approximating the two-dimensional displacement fields. To solve this eigenvalue equation, the element-free IMLS-Ritz method is employed to furnish the buckling solution. The convergence of the solution for the CNT-reinforced composite plates is examined. Comparison study is further carried out to validate the accuracy of the solution. A parametric study is performed by varying the CNT volume fraction, CNT distribution, plate thickness-to-apothem ratio and boundary conditions. This first known buckling solution may serve as benchmarks for future research.
机译：研究了平面内载荷作用下多边形平面纳米复合板的屈曲行为。所考虑的板通过单壁碳纳米管（CNT）增强。基于一阶剪切变形板理论（FSDT），使用近似二维位移场的一组无元素形状函数，推导了该问题的控制特征值方程。为了求解该特征值方程，采用无元素IMLS-Ritz方法提供屈曲解。检查了CNT增强复合板的解决方案的收敛性。进一步进行比较研究以验证解决方案的准确性。通过改变CNT的体积分数，CNT的分布，板的厚度与原子比以及边界条件进行参数研究。这个第一个已知的屈曲解决方案可以作为未来研究的基准。

著录项

  • 来源
    《Engineering analysis with boundary elements》 |2017年第4期|10-25|共16页
  • 作者

    L.W. Zhang;

  • 作者单位

    State Key Laboratory of Ocean Engineering, Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China Department of Architecture and Civil Engineering, City University of Hong Kong, Kawloon, Hong Kong, China;

  • 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

    Buckling; CNT, Nanocomposites; First-order shear deformation theory; Polygonal plates; IMLS-Ritz method;

    机译：屈曲;CNT;纳米复合材料;一阶剪切变形理论;多边形板;IMLS-Ritz方法;

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