• 文献标题:   A nonlinear plate theory for the monolayer graphene
  • 文献类型:   Article
  • 作  者:   HUANG K, YIN YJ, WU JY
  • 作者关键词:   monolayer graphene, nonlinear constitutive equation, plate theory, ritz method
  • 出版物名称:   ACTA PHYSICA SINICA
  • ISSN:   1000-3290
  • 通讯作者地址:   Tsinghua Univ
  • 被引频次:   0
  • DOI:   10.7498/aps.63.156201
  • 出版年:   2014

▎ 摘  要

In the present paper, the kinematic equation of a monolayer graphene is proposed based on a plate theory, and the nonlinear elasticity stress-strain relations are obtained from experiments. The equation includes cubic and quintic nonlinearities. The bending produced when subjected to a concentrated force at the center of the plate and the static buckling arising from edge in-plane axial uniform loads are investigated using Ritz methods for a simply-supported rectangular plate. Results suggest that the plate theory with nonlinear constitutive equation may characterize the mechanical property of a monolayer graphene appropriately, and the quintic nonlinearities have a significant effect on the bending deformations of the graphene.