• 文献标题:   Free vibration analysis of micro plate reinforced with functionally graded graphene nanoplatelets based on modified strain-gradient formulation
  • 文献类型:   Article
  • 作  者:   BIDGOLI EMR, AREFI M
  • 作者关键词:   modified strain gradient, functionally graded, graphene nanoplatelet, thirdorder theory, halpin #8211, tsai model, rule of mixture
  • 出版物名称:   JOURNAL OF SANDWICH STRUCTURES MATERIALS
  • ISSN:   1099-6362 EI 1530-7972
  • 通讯作者地址:  
  • 被引频次:   56
  • DOI:   10.1177/1099636219839302
  • 出版年:   2021

▎ 摘  要

In this paper, modified strain-gradient theory is developed for size-dependent formulation of micro plate reinforced with functionally graded graphene nanoplatelets. The reinforced micro plate is subjected to thermal and mechanical loads. The functionally graded graphene nanoplatelets are distributed along the thickness direction based on various patterns. The effective material properties of reinforced structure including modulus of elasticity and density or Poisson's ratio are calculated based on Halpin-Tsai model and rule of mixture, respectively. The kinematic relations are developed based on third-order shear deformation theory. The solution procedure is proposed based on analytical work for custom boundary condition. Before presentation of numerical results, a comprehensive comparative study is performed for validation of present formulation. The numerical results are presented to investigate the influence of important parameters such as weight fraction of GNPs, various distribution of GNPs, three micro length scale parameters and some non-dimensional geometric parameters on the vibration responses.