• 文献标题:   Nonlinear electro-magneto-mechanical constitutive modelling of monolayer graphene
  • 文献类型:   Article
  • 作  者:   SFYRIS D, SFYRIS GI, BUSTAMANTE R
  • 作者关键词:   monolayer graphene, anisotropy, electromagnetoelasticity
  • 出版物名称:   PROCEEDINGS OF THE ROYAL SOCIETY AMATHEMATICAL PHYSICAL ENGINEERING SCIENCES
  • ISSN:   1364-5021 EI 1471-2946
  • 通讯作者地址:   Aristotle Univ Thessaloniki
  • 被引频次:   1
  • DOI:   10.1098/rspa.2015.0750
  • 出版年:   2016

▎ 摘  要

Using the classical theory of invariants for the specific class of graphene's symmetry, we constitutively characterize electro-magneto-mechanical interactions of graphene at continuum level. Graphene's energy depends on five arguments: the Finger strain tensor, the curvature tensor, the shift vector, the effective electric field intensity and the effective magnetic induction. The Finger strain tensor describes in-surface phenomena, the curvature tensor is responsible for the out-of-surface motions, while the shift vector is used due to the fact that graphene is a multilattice. The electric and the magnetic fields are described by the effective electric field intensity and the effective magnetic induction, respectively. An energy with the above arguments that also respects graphene's symmetries is found to have 42 invariants. Using these invariants, we evaluate all relevant measures by finding derivatives of the energy with respect to the five arguments of the energy. We also lay down the field equations that should be satisfied. These are the Maxwell equations, the momentum equation, the moment of momentum equation and the equation ruling the shift vector. Our framework is general enough to capture fully coupled processes in the finite deformation regime.