Explicit analytical expressions for the critical buckling stresses in a monolayer graphene sheet based on nonlocal elasticity

被引：48

作者：

Ansari, R. ^{[1
]}

Rouhi, H. ^{[1
]}

机构：

[1] Univ Guilan, Dept Mech Engn, Rasht, Iran

来源：

SOLID STATE COMMUNICATIONS | 2012年 / 152卷 / 02期

关键词：

Graphene sheets; Biaxial buckling; FUNDAMENTAL-FREQUENCY;

D O I：

10.1016/j.ssc.2011.11.004

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

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. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：56 / 59

页数：4

共 13 条

[1] Levy type solution method for vibration and buckling of nanoplates using nonlocal elasticity theory [J].