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Comparative Study of Sound Wave Propagation in Single-Walled Carbon Nanotubes Using Nonlocal Elasticity for Two Materials (Al) and (Ni)

Journal of Advanced Research in Fluid Mechanics and Thermal Sciences
Volume 18 No. 1, February 2016, Pages 20-34

H. M. Berrabah1,*, N. Z. Sekrane2, B. E. Adda3
1Département de Génie Civil, Centre Universitaire de Relizane, Relizane, Algérie
2Département de Génie Civil, Université Djillali Liabes, Sidi Bel Abbes, Algérie
3Laboratoire des Matériaux et Hydrologie, Sidi Bel Abbes, Algérie
*Corresponding author: b_hamza_2005@yahoo.fr

KEYWORDS

Single-Walled Carbon Nanotubes, Sound Wave, Timoshenko Beam Theory, Euler-Bernoulli, NonLocal Elasticity

ABSTRACT

In this work we have begun a comparative study of the propagation of sound waves in carbon nanotubes has single wall using nonlocal elasticity for two different materials such as aluminum designated by (AL) and Nickel (Ni ), one based on the theories of beams of Euler-bernoulli and Timoshenko, the constructions are based on these two materials grace to its lightness and hardness it Frequency equations and modal shape functions of Timoshenko beams structures with some typical boundary conditions are also derived from nonlocal elasticity. The research work reveals the significance of the small-scale effect on wave propagation in single-walled CNTs.

CITE THIS ARTICLE

MLA
Berrabah, H. M., et al. “Comparative Study of Sound Wave Propagation in Single-Walled Carbon Nanotubes Using Nonlocal Elasticity for Two Materials (Al) and (Ni).” Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 18.1 (2016): 20-34.

APA
Berrabah, H. M., Sekrane, N. Z., & Adda, B. E. (2016). Comparative Study of Sound Wave Propagation in Single-Walled Carbon Nanotubes Using Nonlocal Elasticity for Two Materials (Al) and (Ni). Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 18(1), 20-34.

Chicago
Berrabah, H. M., N. Z. Sekrane, and B. E. Adda. “Comparative Study of Sound Wave Propagation in Single-Walled Carbon Nanotubes Using Nonlocal Elasticity for Two Materials (Al) and (Ni).” Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 18, no. 1 (2016): 20-34.

Harvard
Berrabah, H.M., Sekrane, N.Z. and Adda, B.E., 2016. Comparative Study of Sound Wave Propagation in Single-Walled Carbon Nanotubes Using Nonlocal Elasticity for Two Materials (Al) and (Ni). Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 18(1), pp.20-34.

Vancouver
Berrabah, HM, Sekrane, NZ, Adda, BE. Comparative Study of Sound Wave Propagation in Single-Walled Carbon Nanotubes Using Nonlocal Elasticity for Two Materials (Al) and (Ni). Journal of Advanced Research in Fluid Mechanics and Thermal Sciences. 2016;18(1):20-34.

REFERENCES

[1] Iijima, Sumio. “Helical microtubules of graphitic carbon.” nature 354, no. 6348 (1991): 56-58.
[2] Rueckes, Thomas, Kyoungha Kim, Ernesto Joselevich, Greg Y. Tseng, Chin-Li Cheung, and Charles M. Lieber. “Carbon nanotube-based nonvolatile random access memory for molecular computing.” science 289, no. 5476 (2000): 94-97.
[3] Postma, Henk W. Ch, Tijs Teepen, Zhen Yao, Milena Grifoni, and Cees Dekker. “Carbon nanotube single-electron transistors at room temperature.” Science 293, no. 5527 (2001): 76-79.
[4] Roschier, L., R. Tarkiainen, M. Ahlskog, M. Paalanen, and Pertti J. Hakonen. “Multiwalled carbon nanotubes as ultrasensitive electrometers.” Applied Physics Letters 78, no. 3295 (2001).
[5] Dai, H. J., Jason H. Hafner, Andrew G. Rinzler, Daniel T. Colbert, and Richard E. Smalley. “Nanotubes as nanoprobes in scanning probe microscopy.” Nature 384, no. 6605 (1996): 147-150.
[6] Kim, Philip, and Charles M. Lieber. “Nanotube nanotweezers.” Science 286, no. 5447 (1999): 2148-2150.
[7] Qian, Dong, Gregory J. Wagner, Wing Kam Liu, Min-Feng Yu, and Rodney S. Ruoff. “Mechanics of carbon nanotubes.” Applied mechanics reviews 55, no. 6 (2002): 495-533.
[8] Ru, C. Q. “Elastic models for carbon nanotubes.” In Encyclopedia of nanoscience and nanotechnology, vol. 2, no. 744, pp. 731-744. American Scientific Publishers, 2004.
[9] Sharma, P., S. Ganti, and N. Bhate. “Effect of surfaces on the size-dependent elastic state of nano-inhomogeneities.” Applied Physics Letters 82, no. 4 (2003): 535-537.
[10] Sheehan, Paul E., and Charles M. Lieber. “Nanotribology and nanofabrication of MoO3 structures by atomic force microscopy.” Science 272, no. 5265 (1996): 1158-1161.
[11] Yakobson, Boris I., and Richard E. Smalley. “Fullerene nanotubes: C 1,000,000 and beyond: Some unusual new molecules—long, hollow fibers with tantalizing electronic and mechanical properties—have joined diamonds and graphite in the carbon family.” American Scientist 85, no. 4 (1997): 324-337.
[12] Eringen, A. Cemal. “On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves.” Journal of applied physics 54, no. 9 (1983): 4703-4710.
[13] Eringen, A. Cemal. Nonlocal continuum field theories. Springer Science & Business Media, 2002.
[14] Peddieson, John, George R. Buchanan, and Richard P. McNitt. “Application of nonlocal continuum models to nanotechnology.” International Journal of Engineering Science 41, no. 3 (2003): 305-312.
[15] Sudak, L. J. “Column buckling of multiwalled carbon nanotubes using nonlocal continuum mechanics.” Journal of Applied Physics 94, no. 11 (2003): 7281-7287.
[16] Zhang, Y. Q., G. R. Liu, and J. S. Wang. “Small-scale effects on buckling of multiwalled carbon nanotubes under axial compression.” Physical review B 70, no. 20 (2004): 205430.
[17] Wang, Q. “Wave propagation in carbon nanotubes via nonlocal continuum mechanics.” Journal of Applied Physics 98, no. 12 (2005): 124301.
[18] Wang, Lifeng, and Haiyan Hu. “Flexural wave propagation in single-walled carbon nanotubes.” Physical Review B 71, no. 19 (2005): 195412.
[19] Lu, Pin, H. P. Lee, C. Lu, and P. Q. Zhang. “Dynamic properties of flexural beams using a nonlocal elasticity model.” Journal of applied physics 99, no. 7 (2006): 073510.
[20] Lu, Pin, H. P. Lee, C. Lu, and P. Q. Zhang. “Application of nonlocal beam models for carbon nanotubes.” International Journal of Solids and Structures 44, no. 16 (2007): 5289-5300.
[21] Sirtori, Carlo. “Applied physics: Bridge for the terahertz gap.” Nature 417, no. 6885 (2002): 132-133.
[22] Antonelli, G. Andrew, Humphrey J. Maris, Sandra G. Malhotra, and James ME Harper. “Picosecond ultrasonics study of the vibrational modes of a nanostructure.” Journal of applied physics 91, no. 5 (2002): 3261-3267.
[23] Brauns, Eric B., Mihaela L. Madaras, Robert S. Coleman, Catherine J. Murphy, and Mark A. Berg. “Complex local dynamics in DNA on the picosecond and nanosecond time scales.” Physical review letters 88, no. 15 (2002): 158101.
[24] Yoon, J., C. Q. Ru, and A. Mioduchowski. “Sound wave propagation in multiwall carbon nanotubes.” Journal of Applied Physics 93, no. 8 (2003): 4801-4806.
[25] Yoon, J., C. Q. Ru, and A. Mioduchowski. “Timoshenko-beam effects on transverse wave propagation in carbon nanotubes.” Composites Part B: Engineering 35, no. 2 (2004): 87-93.
[26] Timoshenko, Stephen P. “LXVI. On the correction for shear of the differential equation for transverse vibrations of prismatic bars.” The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science 41, no. 245 (1921): 744-746.
[27] Zhao, Yang, Chi-Chiu Ma, GuanHua Chen, and Qing Jiang. “Energy dissipation mechanisms in carbon nanotube oscillators.” Physical review letters 91, no. 17 (2003): 175504.
[28] Li, Chunyu, and Tsu-Wei Chou. “Vibrational behaviors of multiwalled-carbonnanotube-based nanomechanical resonators.” Applied Physics Letters 84, no. 1 (2004): 121-123.
[29] Yakobson, Boris I., C. J. Brabec, and Jerzy Bernholc. “Nanomechanics of carbon tubes: instabilities beyond linear response.” Physical review letters 76, no. 14 (1996): 2511.
[30] Huang, T. C. “The effect of rotatory inertia and of shear deformation on the frequency and normal mode equations of uniform beams with simple end conditions.” Journal of Applied Mechanics 28, no. 4 (1961): 579-584.
[31] Zhang, Y. Q., G. R. Liu, and X. Y. Xie. “Free transverse vibrations of double-walled carbon nanotubes using a theory of nonlocal elasticity.” Physical Review B 71, no. 19 (2005): 195404.
[32] Heireche, H., A. Tounsi, A. Benzair, M. Maachou, and EA Adda Bedia. “Sound wave propagation in single-walled carbon nanotubes using nonlocal elasticity.” Physica E: Low-dimensional Systems and Nanostructures 40, no. 8 (2008): 2791-2799.
[33] Dawood, H. K., H. A. Mohammed, Nor Azwadi Che Sidik, K. M. Munisamy, and M. A. Wahid. “Forced, natural and mixed-convection heat transfer and fluid flow in annulus: A review.” International Communications in Heat and Mass Transfer 62 (2015): 45-57.
[34] Sidik, Nor Azwadi Che, H. A. Mohammed, Omer A. Alawi, and S. Samion. “A review on preparation methods and challenges of nanofluids.” International Communications in Heat and Mass Transfer 54 (2014): 115-125.