A semi-analytical method is presented to develop the equivalent continuum model for a single-layered graphene sheet. This method integrates molecular dynamics method as an exact numerical solution with theory of shell as an analytical method. The force-depth results obtained from molecular dynamics (MD) simulation of nano-indentation of a single graphene sheet are compared with the formulation for large deflection of circular plates loaded at the centre. As a result, the effective Young’s modulus and mechanical thickness of the sheet wall are independently obtained. The validity of this new approach is verified by comparing finite element modeling of nano-indentation of a single graphene sheet with molecular dynamics results available in the literature. Presented results demonstrate that the proposed method could provide a valuable tool for studying the mechanical behavior of single-layered graphene sheets, as well as efficiency of continuum theory in nano-structured material.
|Pages (from-to)||pp. 1223-1228|
|Number of pages||6|
|Journal||ASME International Mechanical Engineering Congress and Exposition, Proceedings|
|Publication status||Published - 26 Aug 2009|
Khandan, R., Yavari , V., Mahzoon , M., & Hemmasizadeh, A. (2009). A semi-analytical method for developing the equivalent continuum model of a single layer graphene sheet. ASME International Mechanical Engineering Congress and Exposition, Proceedings, pp. 1223-1228. https://doi.org/10.1115/IMECE2008-67537