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