Science China Technological Sciences

, Volume 62, Issue 2, pp 269–275 | Cite as

Nanoindentation of circular multilayer graphene allotropes

  • ZhanLei Huo
  • ZhengRong Guo
  • JianTao Leng
  • TienChong ChangEmail author


Nanoindentaion has been proposed as an efficient technique to measure mechanical single-layer two-dimensional (2D) materials via combining the membrane theory with the indentation data. However, for multilayered structures of 2D materials, significant discrepancy exists between the Young’s modulus obtained from the existing membrane model and those from other methods. Here we develop a multilayer indentation model by taking the multilayer effect into account in the previous membrane model. We show that the present model can accurately predict the Young’s modulus of multilayered 2D carbon materials. For few layer graphene and twin graphene structures, the deviation of the Young’s moduli obtained by the present model are both within a reasonable range, while the error caused by the direct use of the previous single-layer membrane model increases with the number of layers. The present model provides an efficient tool to extract the mechanical properties of 2D materials from the nanoindentation data of their multilayered structures.


nanoindentaion two-dimensional materials Young’s modulus molecular dynamics 


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Copyright information

© Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • ZhanLei Huo
    • 1
  • ZhengRong Guo
    • 1
  • JianTao Leng
    • 1
  • TienChong Chang
    • 1
    Email author
  1. 1.Shanghai Institute of Applied Mathematics and Mechanics, Shanghai Key Laboratory of Mechanics in Energy EngineeringShanghai UniversityShanghaiChina

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