Prediction of Young's modulus of graphene sheets and carbon nanotubes using nanoscale continuum mechanics approach

被引：236

作者：

Shokrieh, Mahmood M. ^{[1
]}

Rafiee, Roham ^{[1
]}

机构：

[1] Iran Univ Sci & Technol, Composites Res Lab, Dept Mech Engn, Tehran 1684613114, Iran

来源：

MATERIALS & DESIGN | 2010年 / 31卷 / 02期

关键词：

Nanomaterials; Mechanics; Atomic structure; ELASTIC PROPERTIES; MOLECULAR-DYNAMICS; SHEAR MODULI; MODEL; SIMULATION;

D O I：

10.1016/j.matdes.2009.07.058

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Analytical formulations are presented to predict the elastic moduli of graphene sheets and carbon nanotubes using a linkage between lattice molecular structure and equivalent discrete frame structure. The obtained results for a graphene sheet show an isotropic behavior, in contrast to limited molecular dynamic simulations. Young's modulus of CNT represents a high dependency of stiffness on tube thickness, while dependency on tube diameter is more tangible for smaller tube diameters. The presented closed-form solution provides an insight to evaluate finite element models constructed by beam elements. The results are in a good agreement with published data and experimental results. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：790 / 795

页数：6

共 46 条

[1] Molecular dynamics (MD) simulations of the dependence of C-C bond lengths and bond angles on the tensile strain in single-wall carbon nanotubes (SWCNT) [J].