Comparative study on predicting Young's modulus of graphene sheets using nano-scale continuum mechanics approach

• Published in: Physica. E, Low-dimensional systems & nanostructures Low-dimensional systems & nanostructures, 2017-06, Vol.90, p.42-48
• Main Authors: Rafiee, Roham, Eskandariyun, Amirali
• Format: Article
• Language: English
• Subjects: Continuum modeling; Graphene; Stochastic analysis; Vacancy defects; Young's modulus
• ISSN: 1386-9477; 1873-1759
• DOI: 10.1016/j.physe.2017.03.006

In this research, nano-scale continuum modeling is employed to predict Young's modulus of graphene sheet. The lattice nano-structure of a graphene sheet is replaced with a discrete space-frame structure simulating carbon-carbon bonds with either beam or spring elements. A comparative study is carried out to check the influence of employed elements on estimated Young's moduli of graphene sheets in both horizontal and vertical directions. A detailed analysis is also conducted to investigate the influence of graphene sheet sizes on its Young's modulus and corresponding aspect ratios that unwelcomed end effects disappear on the results are extracted. At the final stage, defected graphene sheets suffering from vacancy defects are investigated through a stochastic analysis taking into account both number of defects and their locations as random parameters. The reduction level in the Young's moduli of defected graphene sheets compared with non-defected ones is analyzed and reported. •Semi-continuum modeling is employed to obtain Young's modulus of graphene sheets using either beam or spring elements,•The influence of graphene sheet sizes on the Young's modulus is investigated,•Stochastic analysis is performed to investigate the reduction in Young's modulus of defected graphene sheets.