• 文献标题:   An atomistic-based Foppl-von Karman model for graphene
  • 文献类型:   Article
  • 作  者:   DAVINI C, FAVATA A, PARONI R
  • 作者关键词:   graphene, continuum modeling, fopplvon karman equation
  • 出版物名称:   INTERNATIONAL JOURNAL OF NONLINEAR MECHANICS
  • ISSN:   0020-7462 EI 1878-5638
  • 通讯作者地址:   Sapienza Univ Rome
  • 被引频次:   3
  • DOI:   10.1016/j.ijnonlinmec.2019.07.011
  • 出版年:   2019

▎ 摘  要

We deduce a non-linear continuum model of graphene for the case of finite out-of-plane displacements and small in-plane deformations. On assuming that the lattice interactions are governed by the Brenner's REBO potential of 2nd generation and that self-stress is present, we introduce discrete strain measures accounting for up-to-the-third neighbor interactions. The continuum limit turns out to depend on an average (macroscopic) displacement field and a relative shift displacement of the two Bravais lattices that give rise to the hexagonal periodicity. On minimizing the energy with respect to the shift variable, we formally determine a continuum model of Foppl-von Karman type, whose constitutive coefficients are given in terms of the atomistic interactions.