• 文献标题:   Bending and buckling formulation of graphene sheets based on nonlocal simple first-order shear deformation theory
  • 文献类型:   Article
  • 作  者:   GOLMAKANI ME, MALIKAN M, FAR MNS, MAJIDI HR
  • 作者关键词:   large deflection, buckling, nonlocal elasticity theory, graphene sheet
  • 出版物名称:   MATERIALS RESEARCH EXPRESS
  • ISSN:   2053-1591
  • 通讯作者地址:   Islamic Azad Univ
  • 被引频次:   10
  • DOI:   10.1088/2053-1591/aac660
  • 出版年:   2018

▎ 摘  要

This paper presents a formulation based on simple first-order shear deformation theory (S-FSDT) for large deflection and buckling of orthotropic single-layered graphene sheets (SLGSs). The S-FSDT has many advantages compared to the classical plate theory (CPT) and conventional FSDT such as needless of shear correction factor, containing less number of unknowns than the existing FSDT and strong similarities with the CPT. Governing equations and boundary conditions are derived based on Hamilton's principle using the nonlocal differential constitutive relations of Eringen and von Karman geometrical model. Numerical results are obtained using differential quadrature (DQ) method and the Newton-Raphson iterative scheme. Finally, some comparison studies are carried out to show the high accuracy and reliability of the present formulations compared to the nonlocal CPT and FSDT for different thicknesses, elastic foundations and nonlocal parameters.