[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.12989/anr.2015.3.4.193

Critical buckling load of chiral double-walled carbon nanotube using non-local theory elasticity

Chemi, Awda (Laboratoire de Modelisation et Simulation Multi-echelle, Universite de Sidi Bel Abbes)
Heireche, Houari (Laboratoire de Modelisation et Simulation Multi-echelle, Universite de Sidi Bel Abbes)
Zidour, Mohamed (Laboratoire des Materiaux et Hydrologie, Universite de Sidi Bel Abbes)
Rakrak, Kaddour (Laboratoire de Modelisation et Simulation Multi-echelle, Universite de Sidi Bel Abbes)
Bousahla, Abdelmoumen Anis (Laboratoire de Modelisation et Simulation Multi-echelle, Universite de Sidi Bel Abbes)

Publication Information

Advances in nano research / v.3, no.4, 2015 , pp. 193-206 More about this Journal

Abstract

The present paper investigate the elastic buckling of chiral double-walled carbon nanotubes (DWCNTs) under axial compression. Using the non-local elasticity theory, Timoshenko beam model has been implemented. According to the governing equations of non-local theory, the analytical solution is derived and the solution for non-local critical buckling loads is obtained. The numerical results show the influence of non-local small-scale coefficient, the vibrational mode number, the chirality of carbon nanotube and aspect ratio of the (DWCNTs) on non-local critical buckling loads of the (DWCNTs). The results indicate the dependence of non-local critical buckling loads on the chirality of single-walled carbon nanotube with increase the non-local small-scale coefficient, the vibrational mode number and aspect ratio of length to diameter.

Keywords

double-walled carbon nanotubes; chirality; buckling; small-scale; non-local elasticity;

Citations & Related Records

Times Cited By KSCI : 12 (Citation Analysis)

Reference
Cited By KSCI

1	Aissani, K., Bachir Bouiadjra, M., Ahouel, M. and Tounsi, A. (2015), "A new nonlocal hyperbolic shear deformation theory for nanobeams embedded in an elastic medium", Struct. Eng. Mech., 55(4), 743-762. DOI
2	Ait Amar Meziane, M., Abdelaziz, H.H. and Tounsi, A. (2014), "An efficient and simple refined theory for buckling and free vibration of exponentially graded sandwich plates under various boundary conditions", J. Sandw. Struct. Mater., 16(3), 293-318. DOI
3	Ait Yahia, S., Ait Atmane, H., Houari, M.S.A. and Tounsi, A. (2015), "Wave propagation in functionally graded plates with porosities using various higher-order shear deformation plate theories", Struct. Eng. Mech., 53(6), 1143-1165. DOI
4	Amara, K., Tounsi, A., Mechab, I. and Adda Bedia, E. (2010), "Nonlocal elasticity effect on column buckling of multiwalled carbon nanotubes under temperature field", Appl. Math. Model., 34, 3933-3942. DOI
5	Aydogdu, M. (2014), "On the vibration of aligned carbon nanotube reinforced composite beams", Adv. Nano Res., 2(4), 199-210. DOI
6	Baghdadi, H., Tounsi, A., Zidour, M. and Benzair, A. (2015), "Thermal effect on vibration characteristics of armchair and zigzag single-walled carbon nanotubes using nonlocal parabolic beam theory", Full. Nanotub. Carb. Nanostr., 23, 266-272. DOI
7	Bao, W.X., Zhu, Ch.Ch. and Cui, W.Zh. (2004), "Simulation of Young's modulus of single-walled carbon nanotubes by molecular dynamics", Physica B, 352, 156-163. DOI
8	Batra, R.C. and Sears, A. (2007), "Continuum models of multi-walled carbon nanotubes", Int. J. Solid. Stuct., 44, 7577. DOI
9	Belabed, Z., Houari, M.S.A., Tounsi, A., Mahmoud, S.R. and Anwar Beg, O. (2014), "An efficient and simple higher order shear and normal deformation theory for functionally graded material (FGM) plates", Compos. Part B, 60, 274-283. DOI
10	Belkorissat, I., Houari, M.S.A., Tounsi, A., Adda Bedia, E.A. and Mahmoud, S.R. (2015), "On vibration properties of functionally graded nano-plate using a new nonlocal refined four variable model", Steel Compos. Struct., 18(4), 1063-1081. DOI
11	Besseghier, A., Heireche, H., Bousahla, A.A., Tounsi, A. and Benzair, A. (2015), "Nonlinear vibration properties of a zigzag single-walled carbon nanotube embedded in a polymer matrix", Adv. Nano Res., 3(1), 29-37. DOI
12	Benzair, A., Tounsi, A., Besseghier, A., Heireche, H., Moulay, N., and Boumia, L. (2008), "The thermal effect on vibration of single-walled carbon nanotubes using nonlocal Timoshenko beam theory", J. Phys. D., 41, 225404. DOI
13	Bouazza, M., Amara, K., Zidour, M., Tounsi, A. and Adda Bedia El A. (2015), "Postbuckling analysis of nanobeams using trigonometric Shear deformation theory", Appl. Sci. Report., 10(2), 112-121.
14	Bouderba, B., Houari, M.S.A. and Tounsi, A. (2013), "Thermomechanical bending response of FGM thick plates resting on Winkler-Pasternak elastic foundations", Steel Compos. Struct., 14(1), 85-104. DOI
15	Boumia, L., Zidour, M., Benzair, A. and Tounsi, A. (2014), "Timoshenko beam model for vibration analysis of chiral single-walled carbon nanotubes", Physica E, 59, 186-191. DOI
16	Bourada, M., Kaci, A., Houari, M.S.A. and Tounsi, A. (2015), "A new simple shear and normal deformations theory for functionally graded beams", Steel Compos. Struct., 18(2), 409-423. DOI
17	Brenner, D.W. (1990), Phys. Rev. B, 42, 9458. DOI
18	Dresselhaus, M.S. and Avouris, P. (2001), "Carbon nanotubes: synthesis, structure, properties and application", Top. Appl. Phys., 80, 1-11. DOI
19	Cornwell, C.F. and Wille, L.T. (1997), "Elastic properties of single-walled carbon nanotubes in compression", Solid. State. Commun., 101, 555. DOI
20	Dai, H., Hafner, J.H., Rinzler, A.G., Colbert, D.T. and Smalley R.E. (1996), "Nanotubes as nanoprobes in scanning probe microscopy", Nature, 384, 147-50. DOI
21	Eringen, A.C. (1983), "On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves", J. Appl. Phys., 54, 4703-4710. DOI
22	Girifalco, L.A. and Lad, R.A., Chem, (1956), "Energy of cohesion, compressibility, and the potential energy functions of the graphite system", J. Phys., 25, 693.
23	Girifalco, L.A. (1991), "Interaction potential for carbon (C60) molecules", J. Phys., 95, 5370.
24	Hamidi, A., Houari, M.S.A., Mahmoud, S.R. and Tounsi, A. (2015), "A sinusoidal plate theory with 5-unknowns and stretching effect for thermomechanical bending of functionally graded sandwich plates", Steel Compos. Struct., 18(1), 235-253. DOI
25	Hebali, H., Tounsi, A., Houari, M.S.A., Bessaim, A. and Adda Bedia, E.A. (2014), "A new quasi-3D hyperbolic shear deformation theory for the static and free vibration analysis of functionally graded plates", ASCE J. Eng. Mech., 140, 374-383. DOI
26	Heireche, H., Tounsi, A., Benzair, A., Maachou, M. and Adda Bedia, E.A. (2008) "Sound wave propagation in single-walled carbon nanotubes using nonlocal elasticity", Physica E, 40, 2791-2799. DOI
27	Iijima, S. (1991), "Helical microtubules of graphitic carbon", Nature, 354, 56-8. DOI
28	Larbi Chaht, F., Kaci, A., Houari, M.S.A., Tounsi, A., Anwar Beg, O. and Mahmoud, S.R. (2015), "Bending and buckling analyses of functionally graded material (FGM) size-dependent nanoscale beams including the thickness stretching effect", Steel Compos. Struct., 18(2), 425-442. DOI
29	Iijima, S. and Ichihashi, T. (1993), "Single-shell carbon nanotubes of 1 nm diameter", Nature, 363, 603. DOI
30	Jin, Y. and Yuan, F. G. (2003), "Simulation of elastic properties of single-walled carbon nanotubes", Compos. Sci. Technol, 63, 1507. DOI
31	Liu, J.Z., Zheng, Q. S. and Jiang, Q. (2001), "Effect of a rippling mode on resonances of carbon nanotubes", Phys. Rev. Lett, 86, 4843. DOI
32	Mahi, A., Adda Bedia, E.A. and Tounsi, A. (2015), "A new hyperbolic shear deformation theory for bending and free vibration analysis of isotropic, functionally graded, sandwich and laminated composite plates", Appl. Math. Model., 39, 2489-2508. DOI
33	Mohammadimehr, M., Saidi, A. R., Ghorbanpour Arani, A., Arefmanesh, A. and Han, Q. (2011), "Buckling analysis of double-walled carbon nanotubes embedded in an elastic medium under axial compression using non-local Timoshenko beam theory", Proc. IMech E Vol. 225 Part C: J. Mechanical Engineering Science.
34	Murmu, T. and Adhikari, S. (2010), "Thermal effects on the stability of embedded carbon nanotubes", Physica E, 43, 415-422. DOI
35	Naceri, M., Zidour, M., Semmah, A., Houari, S.A., Benzair, A. and Tounsi, A. (2011), "Sound wave propagation in armchair single walled carbon nanotubes under thermal environment", J. Appl. Phys., 110, 124322. DOI
36	Odegard, G.M., Gates, Nicholson, T.S.L.M., and Wise, K.E. (2002), "Equivalent-continuum modeling of nano-structured materials", Compos. Sci. Technol, 62, 1869-1880. DOI
37	Sudak, L.J. (2003), "Column buckling of multiwalled carbon nanotubes using nonlocal continuum mechanics", J. Appl. Phys., 94, 7281. DOI
38	Reulet, B. et al. (2000), "Acoustoelectric effects in carbon nanotubes", Phys. Rev. Lett., 85, 2829. DOI
39	Sears, C. and Batra, A.R.C. (2006), "Buckling of carbon nanotubes under axial compression", Phys. Rev. B., 73, 085410. DOI
40	Semmah, A., Tounsi, A., Zidour, M., Heireche H. and Naceri M. (2014), "Effect of the chirality on critical buckling temperature of zigzag single-walled carbon nanotubes using the nonlocal continuum theory", Full. Nanotub. Carb. Nanostr., 23, 518-522.
41	Tagrara, S.H., Benachour, A., Bouiadjra, M.B. and Tounsi, A. (2015), "On bending, buckling and vibration responses of functionally graded carbon nanotube-reinforced composite beams", Steel Compos. Struct., 19(5), 1259-1277. DOI
42	Tokio, Y. (1995), "Recent development of carbon nanotube", Synth. Met., 70, 1511-8. DOI
43	Tombler, T.W., Zhou, C.W., Alexseyev, L. et al. (2000), "Reversible nanotube electro-mechanical characteristics under local probe manipulation", Nature, 405, 769. DOI
44	Tounsi, A, Benguediab, S., Adda Bedia, E.A., Semmah, A. and Zidour, M. (2013), "Nonlocal effects on thermal buckling properties of double-walled carbon nanotubes", Adv. Nano Res., 1(1), 1-11. DOI
45	Tounsi, A., Houari, M.S.A., Benyoucef, S. and Adda Bedia, E.A. (2013), A refined trigonometric shear deformation theory for thermoelastic bending of functionally graded sandwich plates", Aerosp. Sci. Tech., 24, 209-220. DOI
46	Zhang, H.W., Wang, L. and Wang, J. B. (2007), "Computer simulation of buckling behaviour of doublewalled carbon nanotubes with abnormal interlayer distances", Comput. Mater. Sci., 39, 664. DOI
47	Tu, Z.C. and Ou-Yang, Z.C. (2002), "Single-walled and multiwalled carbon nanotubes viewed as elastic tubes with the effective Young's modulus dependent on layer number", Phys. Rev. B, 65, 233407. DOI
48	Yakobson, B.I., Brabec, C.J. and J. Bernholc, (1996), "Nanomechanics of carbon tubes: instabilities beyond linear response", Phys. Rev. Lett., 76, 2511-2514. DOI
49	Zemri, A., Houari, M.S.A., Bousahla, A.A. and Tounsi, A. (2015), "A mechanical response of functionally graded nanoscale beam: an assessment of a refined nonlocal shear deformation theory beam theory", Struct. Eng. Mech., 54(4), 693-710. DOI
50	Zidi, M., Tounsi, A., Houari, M.S.A., Adda Bedia, E.A. and Anwar Beg, O. (2014), "Bending analysis of FGM plates under hygro-thermo-mechanical loading using a four variable refined plate theory", Aerosp. Sci. Tech., 34, 24-34. DOI
51	Zidour, M., Daouadji, T.H., Benrahou, K.H., Tounsi, A., Adda Bedia, El A. and Hadji, L. (2014), "Buckling analysis of chiral single-walled carbon nanotubes by using the nonlocal timoshenko beam theory", Mech. Compos. Mater., 50(1), 95-104. DOI
52	Zidour, M., Hadji, L., Bouazza, M., Tounsi, A. and Adda Bedia, El A. (2015), "The mechanical properties of Zigzag carbon nanotube using the energy-equivalent model", J. Chem. Mater. Res., 3, 9-14.

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