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Advances in Nano Research
  Volume 7, Number 4, July 2019 , pages 265-275

Non-classical plate model for single-layered graphene sheet for axial buckling
Babak Safaei, Farzad Hamed Khoda and A.M. Fattahi

    In this work, the effect of size on the axial buckling behavior of single-layered graphene sheets embedded in elastic media is studied. We incorporate Eringen's nonlocal elasticity equations into three plate theories of first order shear deformation theory, higher order shear deformation theory, and classical plate theory. The surrounding elastic media are simulated using Pasternak and Winkler foundation models and their differences are evaluated. The results obtained from different nonlocal plate theories include the values of Winkler and Pasternak modulus parameters, mode numbers, nonlocal parameter, and side lengths of square SLGSs. We show here that axial buckling behavior strongly depends on modulus and nonlocal parameters, which have different values for different mode numbers and side lengths. In addition, we show that in different nonlocal plate theories, nonlocality is more influential in first order shear deformation theory, especially in certain range of nonlocal parameters.
Key Words
    graphene sheets; axial buckling; nonlocal elasticity; plate theories; elastic medium
(1) Babak Safaei:
Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China;
(2) Farzad Hamed Khoda, A.M. Fattahi:
Department of Mechanical Engineering, Tabriz Branch, Islamic Azad University, Tabriz, Iran.

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