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author:

Pelliciari, Matteo (Pelliciari, Matteo.) [1] | Marcello Tarantino, Angelo (Marcello Tarantino, Angelo.) [2]

Indexed by:

EI

Abstract:

In this paper we present a fully nonlinear stick-and-spring model for graphene subjected to in-plane deformations. The constitutive behaviors of sticks and springs are defined, respectively, by the modified Morse potential and a nonlinear bond angle potential. The equilibrium equations of the representative cell are written considering large displacements of the nodes (atoms) and the stability of the solutions is assessed using an energy criterion. The solutions for the uniaxial load cases along armchair and zigzag directions show that graphene is isotropic for small deformations, while it exhibits anisotropy when subjected to large deformations. Moreover, graphene shows a negative Poisson's ratio after a critical value of deformation. In the case of equibiaxial load, multiple solutions of the equilibrium are found and graphene can experience asymmetric deformations despite the symmetry of the external loads. The nonlinear formulation of the equilibrium is then linearized by introducing the hypothesis of small displacements. The expressions of Young's modulus and Poisson's ratio are derived. © 2021 Elsevier Ltd

Keyword:

Deformation Differential equations Elastic moduli Graphene Morse potential Poisson ratio Springs (components)

Community:

  • [ 1 ] [Pelliciari, Matteo]DIEF, Department of Engineering 'Enzo Ferrari', Modena; 41125, Italy
  • [ 2 ] [Pelliciari, Matteo]College of Civil Engineering, Fuzhou University, Fuzhou; Fujian Province; 350108, China
  • [ 3 ] [Marcello Tarantino, Angelo]DIEF, Department of Engineering 'Enzo Ferrari', Modena; 41125, Italy

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Source :

International Journal of Engineering Science

ISSN: 0020-7225

Year: 2021

Volume: 167

7 . 1 5 5

JCR@2021

5 . 7 0 0

JCR@2023

ESI HC Threshold:105

JCR Journal Grade:1

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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