Longitudinal wave propagation in nanorods using a general nonlocal unimodal rod theory and calibration of nonlocal parameter with lattice dynamics

被引:102
作者
Aydogdu, Metin [1 ]
机构
[1] Trakya Univ, Dept Mech Engn, TR-22180 Edirne, Turkey
关键词
Nonlocal elastic rod model; Wave propagation; Unimodal theories; WALLED CARBON NANOTUBES; CONTINUUM-MECHANICS; SHEAR DEFORMATION; VIBRATION; ELASTICITY; MODELS; STRAIN; BEAMS; TUBES;
D O I
10.1016/j.ijengsci.2012.02.004
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In the present study, longitudinal wave propagation in nanorods is studied using nonlocal elasticity theory. The nonlocal constitutive equations of Eringen are used in the formulations. A unified rod theory including lateral inertia, shear and surface stress effects which gives the previous theories as a special case is adopted in the formulation of the displacement field. A modification is proposed to Eringen's nonlocal parameter e(0) by obtaining an explicit relation for it. The nonlocal parameter is calibrated using lattice dynamics. It is obtained that the nonlocal parameter is material and geometry dependent. Considering lateral inertia and surface effects improves longitudinal wave characteristics of nanorods. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码:17 / 28
页数:12
相关论文
共 53 条
[1]   Bending behavior and buckling of nanobeams including surface stress effects corresponding to different beam theories [J].
Ansari, R. ;
Sahmani, S. .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2011, 49 (11) :1244-1255
[2]   A review on the application of nonlocal elastic models in modeling of carbon nanotubes and graphenes [J].
Arash, B. ;
Wang, Q. .
COMPUTATIONAL MATERIALS SCIENCE, 2012, 51 (01) :303-313
[3]   Evaluation of nonlocal parameter in the vibrations of single-walled carbon nanotubes with initial strain [J].
Arash, B. ;
Ansari, R. .
PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2010, 42 (08) :2058-2064
[4]  
Aydogdu Metin, 2007, Turkish Journal of Engineering and Environmental Sciences, V31, P305
[9]   Logic circuits with carbon nanotube transistors [J].
Bachtold, A ;
Hadley, P ;
Nakanishi, T ;
Dekker, C .
SCIENCE, 2001, 294 (5545) :1317-1320
[10]   A dispersive wave equation using nonlocal elasticity [J].
Challamel, Noel ;
Rakotomanana, Lalaonirina ;
Le Marrec, Loic .
COMPTES RENDUS MECANIQUE, 2009, 337 (08) :591-595