참고문헌
- Anwar Beg, O. and Islam, M.N. (2011), HPM Simulation of Double-Walled Carbon Nanotubes in Bending, Technical Report, Aero-786, Dept. Engineering and Mathematics, Sheffield Hallam University.
- Benguediab, S., Tounsi, A., Zidour, M. and Semmah, A. (2014), "Chirality and scale effects on mechanical buckling properties of zizag double-walled carbon nanotubes", Compos. Part B: Eng, 57, 21-24. https://doi.org/10.1016/j.compositesb.2013.08.020
- Dirote, E.V. (2004), "Trends in Nanotechnology research", Nova Science Publishers, New York.
- Cornell, W.D., Cieplak, P., Bayly, C.I., Gould, I.R., Merz, K.M., Feguson, D.M., Spellmeyer, D.C., Fox, T., Caldwell, J.W. and Kollman, P.A. (1995), "A second generation force field for the simulation of proteins, nucleic acids, and organic molecules", J. Am. Chem. Soc., 117, 5179. https://doi.org/10.1021/ja00124a002
- Cowper, C.R. (1996), "The shear coefficient in Timoshenko's beam theory",J. Appl. Mech., 33, 335-340.
- Eringen, A.C. and Edelen, D.G.B. (1972), "On nonlocal elasticity", Int. J. Eng. Sci., 10, 233-248. https://doi.org/10.1016/0020-7225(72)90039-0
- Eringen, A.C. (1983), "On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves", J. Appl. Phys., 54, 4703-4710. https://doi.org/10.1063/1.332803
- Eringen, A.C. (2002), "Nonlocal continuum field theories", Springer, New York.
- Heireche, H., Tounsi, A., Benzair, A., Maachou, M. and Adda Bedia, E.A. (2008a), "Sound wave propagation in single- walled carbon nanotubes using nonlocal elasticity", Physica E., 40, 2791-2799 https://doi.org/10.1016/j.physe.2007.12.021
- Heireche, H., Tounsi, A., Benzair, A. and Mechab, I. (2008b), "Sound wave propagation in single - Carbon nanotubes with initial axial stress", J. Appl. Phys., 104, 014301. https://doi.org/10.1063/1.2949274
- Heireche, H., Tounsi, A. and Benzair, A. (2008c), "Scale effect on wave propagation of double-walled carbon nanotubes with initial axial loading", Nanotech., 19, 185703. https://doi.org/10.1088/0957-4484/19/18/185703
- Hernandez, E., Goze, C., Bernier, P. and Rubio, A. (1998), "Elastic Properties of C and BxCyNz Composite Nanotubes", Phys. Rev. Lett., 80, 4502. https://doi.org/10.1103/PhysRevLett.80.4502
- Iijima, S. (1991), "Helical microtubules of graphitic carbon", Nature, 354, 56-58. https://doi.org/10.1038/354056a0
- Iijima, S., Brabec, C., Maiti, A. and Bernholc, J. (1996), "Structural flexibility of carbon nanotubes", J. Chem. Phys., 104, 2089-2092. https://doi.org/10.1063/1.470966
- Kiani, K. (2013a), "Longitudinal, transverse, and torsional vibrations and stabilities of axially moving single-walled carbon nanotubes", Current Appl. Phys., 13(8), 1651-1660. https://doi.org/10.1016/j.cap.2013.05.008
- Kiani, K. (2013b), "Vibration behavior of simply supported inclined single-walled carbon nanotubes conveying viscous fluids flow using nonlocal Rayleigh beam model", Appl. Math. Model., 37(4), 1836-1850. https://doi.org/10.1016/j.apm.2012.04.027
- Kiani, K. (2014a), "Vibration and instability of a single-walled carbon nanotube in a three-dimensional magnetic field", J. Phys. Chem. Solids, 75(1), 15-22. https://doi.org/10.1016/j.jpcs.2013.07.022
- Kiani, K. (2014b), "Nonlocal continuous models for forced vibration analysis of two- and three-dimensional ensembles of single-walled carbon nanotubes", Phys. E., 60, 229-245. https://doi.org/10.1016/j.physe.2014.01.033
- Lu, P., Lee, H.P., Lu, C. and Zhang, P.Q. (2006), "Dynamic properties of flexural beams using a nonlocal elasticity model", J. Appl. Phys., 99, 073510. https://doi.org/10.1063/1.2189213
- Lu, P., Lee, H.P., Lu, C. and Zhang, P.Q. (2007), "Application of nonlocal beam models for carbon nanotubes", Int. J. Solids Struct., 44, 5289-5300. https://doi.org/10.1016/j.ijsolstr.2006.12.034
- Ottenhouse, A.P. (2009), "Carbon nanotubes: new research", New York, NY: Nova Science Publishers.
- O'Connell, M.J. (2006), "Carbon Nanotubes: Properties and Applications", CRC Press, Boca Raton.
- Peddieson, J., Buchanan, G.R. and McNitt, R.P. (2003), "Application of nonlocal continuum models to nanotechnology", Int. J. Eng. Sci., 41, 305-312. https://doi.org/10.1016/S0020-7225(02)00210-0
- Reddy, J.N. and Pang, S.D. (2008), "Nonlocal continuum theories of beams for the analysis of carbon nanotubes", J. Appl. Phys., 103, 023511. https://doi.org/10.1063/1.2833431
- Sanchez-Portal, D., Artacho, E., Soler, J.M., Rubio, A. and Ordejon, P. (1999), "Ab-initio structural, elastic, and vibrational properties of carbon nanotubes", Phys. Rev. B., 59, 12678. https://doi.org/10.1103/PhysRevB.59.12678
- Semmah, A., Tounsi, A., Zidour, M.,Heireche, H. and Naceri, M. (2014), "Effect of chirality on critical buckling temperature of a zigzag single-walled carbon nanotubes using nonlocal continuum theory", Fullerenes, Nanotubes and Carbon Nanostructures, (In press).
- Sudak, L.J. (2003), "Column buckling of multiwalled carbon nanotubes using nonlocal continuum mechanics", J. Appl.Phys., 94, 7281. https://doi.org/10.1063/1.1625437
- Tokio, Y. (1995), "Recent development of carbon nanotube", Synth Met., 70, 1511-1518. https://doi.org/10.1016/0379-6779(94)02939-V
- Tounsi, A., Heireche, H., Berrabah, H.M., Benzair, A. and Boumia, L. (2008), "Effect of small size on wave propagation in double-walled carbon nanotubes under temperature field", J. Appl. Phys.104, 104301. https://doi.org/10.1063/1.3018330
- Tounsi, A., Heireche, H., Berrabah, H.M. and Mechab, I. (2009a), "Comment on [Vibration analysis of fluid-conveying double-walled carbon nanotubes based on nonlocal elastic theory]", J. Phys.-Condens. Matter., 21, 448001. https://doi.org/10.1088/0953-8984/21/44/448001
- Tounsi, A., Heireche, H. and Adda Bedia, E.A. (2009b), "Comment on "Free transverse vibration of the fluid-conveying single-walled carbon nanotube using nonlocal elastic theory" [J. Appl. Phys. 103, 024302 2008]", J. Appl. Phys., 105, 126105. https://doi.org/10.1063/1.3153960
- Tounsi, A., Benguediab, S., Adda Bedia, E.A., Semmah, A. and Zidour, M. (2013a), "Nonlocal effects on thermal buckling properties of double-walled carbon nanotubes", Adv. Nano Res., 1(1), 1-11. https://doi.org/10.12989/anr.2013.1.1.001
- Tounsi, A., Benguediab, S., Houari, M.S.A. and Semmah, A. (2013b), "A new nonlocal beam theory with thickness stretching effect for nanobeams", Int. J. Nanosci., 12, 1350025. https://doi.org/10.1142/S0219581X13500257
- Tounsi, A., Semmah, A. and Bousahla, A.A. (2013c)," Thermal buckling behavior of nanobeam using an efficient higher-order nonlocal beam theory", J. Nanomech. Micromech. (ASCE), 3, 37-42. https://doi.org/10.1061/(ASCE)NM.2153-5477.0000057
- Wang, Y.Z., Li, F.M. and Kishimoto, K. (2010a), "Wave propagation characteristics in fluid-conveying double-walled nanotubes with scale effects",Comput. Mater. Sci., 48, 413-418. https://doi.org/10.1016/j.commatsci.2010.01.034
- Wang, Y.Z., Li, F.M. and Kishimoto, K. (2010b), "Flexural wave propagation in double-layered nanoplates with small scale effects", J. Appl. Phys., 108, 064519. https://doi.org/10.1063/1.3481438
- Wang, Y.Z., Li, F.M. and Kishimoto, K. (2010c), "Scale effects on the longitudinal wave propagation in nanoplates", Phys. E., 42, 1356-1360. https://doi.org/10.1016/j.physe.2009.11.036
- Wang, Q. and Varadan, V.K. (2006), "Vibration of carbon nanotubes studied using nonlocal continuum mechanics", Smart Mater. Struct., 15, 659. https://doi.org/10.1088/0964-1726/15/2/050
- Wang, Q. (2005), "Wave propagation in carbon nanotubes via nonlocal continuum mechanics", J. Appl. Phys., 98, 124301. https://doi.org/10.1063/1.2141648
- Wang, L.F. and Hu, H.Y. (2005), "Flexural wave propagation in single-walled carbon nanotubes",Phys. Rev. B., 71, 195412. https://doi.org/10.1103/PhysRevB.71.195412
- Wang, C.M., Zhang, Y.Y., Ramesh, S.S. and Kitipornchai, S. (2006), "Buckling analysis of micro-and nano-rods/tubes based on nonlocal Timoshenko beam theory", J. Phys. D: Appl. Phys., 39, 3904-3909. https://doi.org/10.1088/0022-3727/39/17/029
- Wang, C.M., Zhang, Y.Y. and He, X.Q. (2007), "Vibration of nonlocal Timoshenko beams", Nanatechnology, 18, 105401. https://doi.org/10.1088/0957-4484/18/10/105401
- Wu, Y., Zhang, X., Leung, A.Y.T. and Zhong, W. (2006), "An energy-equivalent model on studying the mechanical properties of single-walled carbon nanotubes",Thin-Walled Struct., 44, 667-676. https://doi.org/10.1016/j.tws.2006.05.003
- Yakobson, B.I., Campbell, M.P., Brabec, C.J. and Bernholc, J. (1997), "High strain rate fracture and C-chain unraveling in carbon nanotubes", Comput. Mater. Sci., 8, 341-348. https://doi.org/10.1016/S0927-0256(97)00047-5
- Yao, X. and Han, Q. (2006), "Buckling analysis of multiwalled carbon nanotubes under torsional loadcoupling with temperature change", J. Eng. Mater. Technol., 128, 419-424. https://doi.org/10.1115/1.2203102
- Zidour, M., Benrahou, K.H., Semmah, A., Naceri, M., Belhadj, H.A., Bakhti, K. and Tounsi, A. (2012), "The thermal effect on vibration of zigzag single walled carbon nanotubes using nonlocal Timoshenko beam theory", Comput. Mater. Sci., 51, 252-260. https://doi.org/10.1016/j.commatsci.2011.07.021
- Zidour, M., Daouadji, T.H., Benrahou, K.H., Tounsi, A., Adda Bedia, E.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. https://doi.org/10.1007/s11029-014-9396-0
피인용 문헌
- Numerical simulation of self-similar thermal convection from a spinning cone in anisotropic porous medium vol.28, pp.2, 2016, https://doi.org/10.1016/S1001-6058(16)60620-0
- Nonlinear ultrasonic waves in a magneto-flexo-thermally actuated single walled armchair carbon nanotube embedded on polymer matrix vol.18, pp.1, 2014, https://doi.org/10.1108/wje-02-2020-0066
- Ultrasonic waves in a single walled armchair carbon nanotube resting on nonlinear foundation subjected to thermal and in plane magnetic fields vol.10, pp.1, 2021, https://doi.org/10.12989/csm.2021.10.1.039