• 文献标题:   Homogenization of a graphene sheet
  • 文献类型:   Article
  • 作  者:   DAVINI C
  • 作者关键词:   graphene, homogenization, effective propertie
  • 出版物名称:   CONTINUUM MECHANICS THERMODYNAMICS
  • ISSN:   0935-1175 EI 1432-0959
  • 通讯作者地址:   Univ Udine
  • 被引频次:   16
  • DOI:   10.1007/s00161-013-0292-y
  • 出版年:   2014

▎ 摘  要

A continuum model for a graphene sheet undergoing infinitesimal in-plane deformations is derived by applying the arguments of homogenization theory. The model turns out to coincide with that found by various authors with different methods, but it avoids anticipations on the validity of any properly adjusted or generalized Cauchy-Born rule. The constitutive equation for stress and the effective Young's modulus and Poisson ratio are explicitly given in terms of the bond constants.