• 文献标题:   Axisymmetric deformation of geometrically imperfect circular graphene sheets
  • 文献类型:   Article
  • 作  者:   GHAVANLOO E
  • 作者关键词:  
  • 出版物名称:   ACTA MECHANICA
  • ISSN:   0001-5970 EI 1619-6937
  • 通讯作者地址:   Shiraz Univ
  • 被引频次:   3
  • DOI:   10.1007/s00707-017-1891-7
  • 出版年:   2017

▎ 摘  要

In this study, we investigate the axisymmetric deformation of a geometrically imperfect circular graphene sheet subjected to a uniform radial load using nonlocal elasticity theory. Due to the imperfection of the graphene sheet, an inhomogeneous version of Bessel's equation is derived as a nonlocal governing equation of the system. Closed-form expressions are obtained to predict the deformations of the graphene sheet as functions of the radius, small-scale coefficient, initial imperfection, and bending rigidity of the graphene sheet. Furthermore, relations are proposed to determine critical radial loads. The present model indicates that it is necessary to include the effect of an initial imperfection as well as the small-scale effect.