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Structural Engineering and Mechanics
  Volume 75, Number 1, July10 2020, pages 109-122

Static analysis of multiple graphene sheet systems in cylindrical bending and resting on an elastic medium
Chih-Ping Wu and Chih-Chen Lin

    An asymptotic local plane strain elasticity theory is reformulated for the static analysis of a simply-supported, multiple graphene sheet system (MGSS) in cylindrical bending and resting on an elastic medium. The dimension of the MGSS in the y direction is considered to be much greater than those in the x and z directions, such that all the field variables are considered to be independent of the y coordinate. Eringen\'s nonlocal constitutive relations are used to account for the small length scale effects in the formulation examining the static behavior of the MGSS. The interaction between the MGSS and its surrounding foundation is modelled as a Winkler foundation with the parameter kw, and the interaction between adjacent graphene sheets (GSs) is considered using another Winkler model with the parameter cw. A parametric study with regard to some effects on the static behavior of the MGSS resting on an elastic medium is undertaken, such as the aspect ratio, the number of the GSs, the stiffness of the medium between the adjacent layers and that of the surrounding medium of the MGSS, and the nonlocal parameter.
Key Words
    Eringen's nonlocal elasticity theory; foundation; multiple graphene sheet systems; nonlocal plane strain elasticity theory; static; the perturbation method
Department of Civil Engineering, National Cheng Kung University, Taiwan, Republic of China

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