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Coupled Systems Mechanics   Volume 4, Number 2, June 2015, pages 137-155
DOI: http://dx.doi.org/10.12989/csm.2015.4.2.137
 
Homogenized elastic properties of graphene for moderate deformations
Eduard Marenić and Adnan Ibrahimbegovic

 
Abstract     [Full Text]
    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.
 
Key Words
    graphene; elastic properties, molecular mechanics; homogenization
 
Address
Eduard Marenić and Adnan Ibrahimbegovic:Sorbonne Universités / Université de Technologie de Compiegne
Chaire de Mécanique, Lab. Roberval de Mécanique,
Centre de Recherches de Royallieu 60203 Compiegne, France
 

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