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Steel and Composite Structures
  Volume 33, Number 2, October25 2019 , pages 261-275
DOI: https://doi.org/10.12989/scs.2019.33.2.261
 


On axial buckling and post-buckling of geometrically imperfect single-layer graphene sheets
Yang Gao, Wan-shen Xiao and Haiping Zhu

 
Abstract
    The main objective of this paper is to study the axial buckling and post-buckling of geometrically imperfect single-layer graphene sheets (GSs) under in-plane loading in the theoretical framework of the nonlocal strain gradient theory. To begin with, a graphene sheet is modeled by a two-dimensional plate subjected to simply supported ends, and supposed to have a small initial curvature. Then according to the Hamilton*$39;s principle, the nonlinear governing equations are derived with the aid of the classical plate theory and the von-karman nonlinearity theory. Subsequently, for providing a more accurate physical assessment with respect to the influence of respective parameters on the mechanical performances, the approximate analytical solutions are acquired via using a two-step perturbation method. Finally, the authors perform a detailed parametric study based on the solutions, including geometric imperfection, nonlocal parameters, strain gradient parameters and wave mode numbers, and then reaching a significant conclusion that both the size-dependent effect and a geometrical imperfection can't be ignored in analyzing GSs.
 
Key Words
    geometric imperfection; perturbation method; graphene sheets; nonlocal strain gradient theory
 
Address
(1) Yang Gao, Wan-shen Xiao:
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, 410082, China;
(2) Haiping Zhu:
School of Computing, Engineering and Mathematics, Western Sydney University, Locked, Bag 1797, Penrith, NSW2751, Australia.
 

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