Coupled systems mechanics

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Homogenized elastic properties of graphene for moderate deformations

  • Marenic, Eduard (Sorbonne Universites/Universite de Technologie de Compiegne Chaire de Mecanique, Lab. Roberval de Mecanique) ;
  • Ibrahimbegovic, Adnan (Sorbonne Universites/Universite de Technologie de Compiegne Chaire de Mecanique, Lab. Roberval de Mecanique)
  • Received : 2015.05.05
  • Accepted : 2015.06.07
  • Published : 2015.06.25
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Abstract

This paper presents a simple procedure to obtain a substitute, homogenized mechanical response of single layer graphene sheet. The procedure is based on the judicious combination of molecular mechanics simulation results and homogenization method. Moreover, a series of virtual experiments are performed on the representative graphene lattice. Following these results, the constitutive model development is based on the well-established continuum mechanics framework, that is, the non-linear membrane theory which includes the hyperelastic model in terms of principal stretches. A proof-of-concept and performance is shown on a simple model problem where the hyperelastic strain energy density function is chosen in polynomial form.

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