Explicit analytical expressions for the critical buckling stresses in a monolayer graphene sheet based on nonlocal elasticity |
| |
Authors: | R Ansari H Rouhi |
| |
Institution: | 1. A.N. Sevchenko Institute of Applied Physics Problems, Kurchatov Str. 7, 220045 Minsk, Belarus;2. Belarusian State University, Nezavisimosty Ave. 4, 220030 Minsk, Belarus;3. Scientific and Practical Materials Research Center, National Academy of Sciences of Belarus, P. Brovki Str. 17, 220072 Minsk, Belarus;4. Al-Farabi Kazakh National University, Al-Farabiy Ave. 71, 050038 Almaty, Kazakhstan |
| |
Abstract: | Explicit expressions are given to study the biaxial buckling of monolayer graphene sheets. Based upon the continuum mechanics, a plate model is adopted in which the small length scale effect is incorporated into the governing equation through the nonlocal elasticity theory of Eringen. By employing the Galerkin method, analytical expressions are derived which allow quick and accurate calculation of the critical buckling loads of monolayer graphene sheets with various boundary conditions from the static deflection under a uniformly distributed load. The effectiveness of the present study is assessed by molecular dynamics simulations as a benchmark of good accuracy. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|