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Surface effects on the buckling behaviors of piezoelectric cylindrical nanoshells using nonlocal continuum model

机译:非局部连续模型对压电圆柱纳米壳屈曲行为的表面影响

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摘要

The focus of this paper is on the analytical buckling solutions of piezoelectric cylindrical nanoshells under the combined compressive loads and external voltages. To capture the small-scale characteristics of the nanostructures, the constitutive equations with the coupled nonlocal and surface effects are adopted within the framework of Reddy's higher-order shell theory. The governing equations involving the displacements and induced piezoelectric field are solved by employing the separation of variables. The derived accurate solutions conclude that bucking critical stresses should go down rapidly while the nonlocal effects reach a certain level. With the enhancing surface effects, the stability of piezoelectric cylindrical nanoshells can be improved significantly. Meanwhile, the induced electric field also plays an important role in elevating the buckling critical stresses. For the nanoshells with remarkable nonlocal effects, boundary conditions, shell length and radius have little influence on the buckling solutions. The detailed effects of the boundary conditions, geometric parameters, material properties and applied voltages are discussed.
机译:本文的重点是在压缩载荷和外部电压共同作用下的压电圆柱形纳米壳的屈曲分析解决方案。为了捕获纳米结构的小规模特征,在Reddy的高阶壳理论的框架内采用了具有局部和局部效应耦合的本构方程。通过使用变量的分离来求解涉及位移和感应压电场的控制方程。得出的精确解决方案得出的结论是,当非局部效应达到一定水平时,克服临界应力应迅速下降。通过增强表面效果,可以显着提高压电圆柱形纳米壳的稳定性。同时,感应电场在提高屈曲临界应力方面也起着重要作用。对于具有非局域效应的纳米壳,边界条件,壳长和半径对屈曲解几乎没有影响。讨论了边界条件,几何参数,材料特性和施加电压的详细影响。

著录项

  • 来源
    《Applied Mathematical Modelling》 |2018年第7期|341-356|共16页
  • 作者单位

    State Key Laboratory of Structural Analysis for Industrial Equipment and School of Ocean Science and Technology, Dalian University of Technology;

    State Key Laboratory of Structural Analysis for Industrial Equipment and School of Ocean Science and Technology, Dalian University of Technology;

    State Key Laboratory of Structural Analysis for Industrial Equipment and Department of Engineering Mechanics, Dalian University of Technology;

    State Key Laboratory of Structural Analysis for Industrial Equipment and Department of Engineering Mechanics, Dalian University of Technology;

    Department of Architecture and Civil Engineering, City University of Hong Kong;

  • 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; Piezoelectric nanoshells; Nonlocal elasticity; Surface effects; Accurate solutions;

    机译:屈曲;压电纳米壳;非局部弹性;表面效应;精确解;

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