Nanoscale finite element models for vibrations of single-walled carbon nanotubes: atomistic versus continuum

doi:10.1007/s10483-013-1738-9

Applied Mathematics and Mechanics (English Edition) ›› 2013, Vol. 34 ›› Issue (10): 1187-1200.doi: https://doi.org/10.1007/s10483-013-1738-9

• Articles • Previous Articles Next Articles

Nanoscale finite element models for vibrations of single-walled carbon nanotubes: atomistic versus continuum

R. ANSARI¹, S. ROUHI², M. ARYAYI¹

1. Department of Mechanical Engineering, University of Guilan, Rasht 3756, Iran;
2. Young Researchers Club, Langroud Branch, Islamic Azad University, Langroud 44715-1333, Iran

Received:2012-04-11 Revised:2013-03-10 Online:2013-09-29 Published:2012-09-29

Abstract

2010 MSC Number:

null

R. ANSARI;S. ROUHI;M. ARYAYI. Nanoscale finite element models for vibrations of single-walled carbon nanotubes: atomistic versus continuum. Applied Mathematics and Mechanics (English Edition), 2013, 34(10): 1187-1200.

TrendMD

[1]	Luyu SHEN, Changgen LU. Local receptivity in non-parallel boundary layer [J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(7): 929-940.
[2]	Luyu SHEN, Changgen LU. Boundary-layer receptivity under interaction of free-stream turbulence and localized wall roughness [J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(3): 349-360.
[3]	M. AREFI. Surface effect and non-local elasticity in wave propagation of functionally graded piezoelectric nano-rod excited to applied voltage [J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(3): 289-302.
[4]	Zailin YANG, Baoping HEI, Yao WANG. Scattering by circular cavity in radially inhomogeneous medium with wave velocity variation [J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(5): 599-608.
[5]	S. A. SHEHZAD, T. HAYAT, A. ALSAEDI, B. AHMAD. Effects of thermophoresis and thermal radiation in mixed convection three-dimensional flow of Jeffrey fluid [J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(5): 655-668.
[6]	T. HAYAT, M. IMTIAZ, A. ALSAEDI. Partial slip effects in flow over nonlinear stretching surface [J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(11): 1513-1526.
[7]	Xiao-jian XU;Zi-chen DENG. Variational principles for buckling and vibration of MWCNTs modeled by strain gradient theory [J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(9): 1115-1128.
[8]	T. HAYAT;S. ASAD;A. ALSAEDI. Flow of variable thermal conductivity fluid due to inclined stretching cylinder with viscous dissipation and thermal radiation [J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(6): 717-728.
[9]	Si YUAN;Yan DU;Qin-yan XING;Kang-sheng YE. Self-adaptive one-dimensional nonlinear finite element method based on element energy projection method [J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(10): 1223-1232.
[10]	T. HAYAT; M.MUSTAFA; Z.IQBAL; A.ALSAEDI. Stagnation-point flow of couple stress fluid with melting heat transfer [J]. Applied Mathematics and Mechanics (English Edition), 2013, 34(2): 167-176.
[11]	DING Xie-ping, LEE Chin-san, YAO Jen-chih. Generalized constrained multiobjective games in locally FC-uniform spaces [J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(3): 301-309 .
[12]	ZHU Yong-an, WANG Fan, LIU Ren-huai. Thermal buckling of axisymmetrically laminated cylindrically orthotropic shallow spherical shells including transverse shear [J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(3): 291-300 .
[13]	JIANG Xiao-hai, FAN Bao-chun, LI Hong-zhi. Numerical investigations on dynamic process of muzzle flow [J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(3): 351-360 .
[14]	WU Jiang-hao, SUN Mao. Control of flight forces and moments by flapping wings of model bumblebee [J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(3): 333-350 .
[15]	D. P. Acharya;Indrajit Roy;P. K. Biswas. Vibration of an infinite inhomogeneous transversely isotropic viscoelastic medium with cylindrical hole [J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(3): 367-378 .

Nanoscale finite element models for vibrations of single-walled carbon nanotubes: atomistic versus continuum

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments