BRIEF REPORTSNo Access

NONLOCAL ANALYTICAL FLUGGE SHELL MODEL FOR AXIAL BUCKLING OF DOUBLE-WALLED CARBON NANOTUBES WITH DIFFERENT END CONDITIONS

HESSAM ROUHI

Department of Mechanical Engineering, University of Guilan, P. O. Box 3756, Rasht, Iran

Corresponding author.

Search for more papers by this author

and

REZA ANSARI

Department of Mechanical Engineering, University of Guilan, P. O. Box 3756, Rasht, Iran

Search for more papers by this author

https://doi.org/10.1142/S179329201250018XCited by:28 (Source: Crossref)

Abstract

In this paper, a nonlocal Flugge shell model is utilized to investigate the axial buckling behavior of double-walled carbon nanotubes (DWCNTs) under various boundary conditions. According to the nonlocal elasticity theory, the displacement field equations coupled by the van der Waals interaction are derived. The set of governing equations of motion is then solved by the Rayleigh–Ritz method. The present analysis can treat boundary conditions in a layer-wise manner. The effects of nonlocal parameter, layer-wise boundary conditions and geometrical parameters on the mechanical behavior of DWCNTs are examined. Furthermore, molecular dynamics simulations are performed to assess the validity of the results and also to predict the appropriate values of nonlocal parameter. It is found that the type of boundary conditions affects the proper value of nonlocal parameter.

Keywords:

References

S. Iijima, Nature 8, 354 (1991). Web of Science, Google Scholar
B. I. Yakobson, C. J. Brabec and J. Bernholc, Phys. Rev. Lett. 76, 2511 (1996). Web of Science, Google Scholar
C. Q. Ru, J. Mech. Phys. Solids 49, 1265 (2001). Web of Science, Google Scholar
X. Q. He, S. Kitipornchaia and K. M. Liew, J. Mech. Phys. Solids 53, 303 (2005). Web of Science, Google Scholar
H. Qian, K. Y. Xu and C. Q. Ru, Int. J. Solids Struct. 42, 5426 (2005). Web of Science, Google Scholar
Q. Wang and V. K. Varadan, Smart Mater. Struct. 14, 281 (2005). Web of Science, Google Scholar
X. Yao and Q. Han, Compos. Sci. Technol. 67, 125 (2007). Web of Science, Google Scholar
R. Ansari and M. Hemmatnezhad, Math. Comput. Model. 53, 927 (2011). Web of Science, Google Scholar
A. C. Eringen , Nonlocal Continuum Field Theories ( Springer , New York , 2002 ) . Google Scholar
J. Peddieson, G. R. Buchanan and R. P. McNitt, Int. J. Eng. Sci. 41, 305 (2003). Web of Science, Google Scholar
L. J. Sudak, J. Appl. Phys. 94, 7281 (2003). Web of Science, Google Scholar
Q. Wang, J. Appl. Phys. 98, 124301 (2005). Web of Science, Google Scholar
J. N. Reddy, Int. J. Eng. Sci. 45, 288 (2007). Web of Science, Google Scholar
A. Tounsiet al., J. Appl. Phys. 104, 104301 (2008). Web of Science, Google Scholar
A. Tounsi, H. Heireche and E. A. Adda Bedia, J. Appl. Phys. 103, 024302 (2008). Google Scholar
A. Tounsi, H. Heireche and E. A. Adda Bedia, J. Appl. Phys. 105, 126105 (2009). Web of Science, Google Scholar
A. Tounsiet al., J. Phys.: Condens. Matter 21, 448001 (2009). Web of Science, Google Scholar
K. Amaraet al., Appl. Math. Model. 34, 3933 (2010). Web of Science, Google Scholar
Y. Yang and C. W. Lim, Adv. Sci. Lett. 4, 121 (2011). Web of Science, Google Scholar
S. A. Fazelzadeh and E. Ghavanloo, Compos. Struct. 94, 1016 (2011). Web of Science, Google Scholar
F. Khademolhosseiniet al., IEEE Trans. Nanotechnol. 11, 34 (2012). Web of Science, Google Scholar
K. Y. Xu, E. C. Aifantis and Y. H. Yan, Trans. ASME J. Appl. Mech. 75, 0210113 (2008). Google Scholar
W. Flugge , Stresses in Shells ( Springer , Berlin , 1960 ) . Google Scholar
S. Adali, Phys. Lett. A 372, 5701 (2008). Web of Science, Google Scholar
J. H. He, Chaos Solitons Fractals 19, 847 (2004). Web of Science, Google Scholar
J. H. He, Phys. Lett. A 355, 182 (2005). Google Scholar
C. T. Loy and K. Y. Lam, Int. J. Mech. Sci. 39, 445 (1997). Google Scholar
Nanorex Inc. NanoHive-1 v.1.2.0-b1, www.nanoengineer-1.com (2005) . Google Scholar
S. J. Stuart, A. B. Tutein and J. A. Harrison, J. Chem. Phys. 112, 6472 (2000). Web of Science, Google Scholar
J. M. Luet al., J. Phys. Soc. Jpn. 77, 0446031 (2008). Google Scholar