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A size-dependent model for bi-layered Kirchhoff micro-plate based on strain gradient elasticity theory

机译：基于应变梯度弹性理论的双层基尔霍夫微板尺寸相关模型

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摘要

A size-dependent model for bi-layered Kirchhoff micro-plate is developed based on the strain gradient elasticity theory. The governing equations and boundary conditions are derived by using the variational principle. To illustrate the new model, the bending problem of a simply supported bi-layered square micro-plate subjected to constant distributed load is solved. Numerical results reveal that the deflection and axial stress decrease remarkably compared with the classical plate results, and the zero-strain surface deviates significantly from the conventional position, when the thickness of plate is comparable to the material length scale parameters. The size effects, however, are almost diminishing as the thickness of plate is far greater than the material length scale parameters. In addition, the bi-layered plate can be simplified to the monolayer plate as the thickness of one layer is becoming much greater than that of the other layer.
机译：基于应变梯度弹性理论，建立了双层基希霍夫微孔板的尺寸相关模型。利用变分原理推导了控制方程和边界条件。为了说明新模型，解决了承受恒定分布载荷的简单支撑的双层方形微板的弯曲问题。数值结果表明，当板的厚度与材料长度尺度参数相当时，挠度和轴向应力与传统板的结果相比显着降低，并且零应变表面与常规位置相比有明显偏差。但是，由于板的厚度远大于材料长度比例参数，因此尺寸效应几乎消失了。另外，随着一层的厚度变得比另一层的厚度大得多，双层板可以简化为单层板。

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  • 来源
    《Composite Structures》 |2014年第7期|272-280|共9页
  • 作者

    Anqing Li; Shenjie Zhou; Shasha Zhou; Binglei Wang;

  • 作者单位

    School of Mechanical Engineering, Shandong University, Jinan City, Shandong 250061, People's Republic of China;

    School of Mechanical Engineering, Shandong University, Jinan City, Shandong 250061, People's Republic of China,Key Laboratory of High Efficiency and Clean Mechanical Manufacture, Jinan City, Shandong 250061, People's Republic of China;

    School of Mechanical Engineering, Shandong University, Jinan City, Shandong 250061, People's Republic of China;

    School of Civil Engineering, Shandong University, Jinan City, Shandong 250061, People's Republic of 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

    Bi-layered micro-plate; Strain gradient elasticity; Bending analysis; Size effect;

    机译：双层微板;应变梯度弹性;弯曲分析;尺寸效果;

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