Refined shell models for the vibration analysis of multiwalled carbon nanotubes

Mechanics of Advanced Materials and Structures

Volumn 18, Issue 7, 2011, Pages 476-483

  Cinefra, M ^a,b,c   Carrera, E ^a   Brischetto, S ^a  

^a POLITECNICO DI TORINO   (Italy)

^b CRP H Tudor ^*  (Luxembourg)

^c UNIVERSITÉ PARIS OUEST NANTERRE LA DÉFENSE   (France)

Author keywords

continuum shell models; double walled carbon nanotubes; Uniformed Formulation; van der Waals forces; vibration analysis

Indexed keywords

CARRERA'S UNIFIED FORMULATION; CONTINUUM MODEL; CONTINUUM SHELL MODEL; CYLINDRICAL SHELL; DOUBLE-WALLED CARBON NANOTUBES; EQUIVALENT SINGLE LAYERS; EQUIVALENT THICKNESS; FREE VIBRATION RESPONSE; LAYER-WISE; LENNARD-JONES MODEL; SHELL MODELS; UNIFORMED FORMULATION; VAN DER WAALS; VAN DER WAALS INTERACTIONS; YOUNG'S MODULUS;

CARBON; CONTINUUM MECHANICS; REFINING; SHELLS (STRUCTURES); VAN DER WAALS FORCES; VIBRATION ANALYSIS;

MULTIWALLED CARBON NANOTUBES (MWCN);

EID: 80053341333     PISSN: 15376494     EISSN: 15376532     Source Type: Journal    
DOI: 10.1080/15376494.2011.604601     Document Type: Conference Paper

References (23)

1. S. Iijima, Helical microtubules of graphitic carbon, Nature, vol. 354, pp. 56-58, 1991. (Pubitemid 21896780)
2. A. Sakhaee-Pour, M.T. Ahmadian, and A. Vafai, Vibrational analysis of single-walled carbon nanotubes using beam element, Thin-Walled Struct., vol. 47, pp. 646-652, 2009.
3. M. Mir, A. Hosseini, and G.H. Majzoobi, A numerical study of vibrational properties of single-walled carbon nanotubes, Comput.Mater. Sci., vol. 43, pp. 540-548, 2008.
4. G.M. Odegard, T.S. Gates, L.M. Nicholson, and K.E. Wise, Equivalentcontinuum modeling of nanostructured materials, Compos. Sci. Technol., vol. 62, no. 14, pp. 1869-1880, 2002.
5. T. Vodenitcharova and L.C. Zhang, Effective wall thickness of a singlewalled carbon nanotube, Phys. Rev. B, vol. 68, p. 165401, 2003.
6. G. Rouainia and K. Djeghaba, Evaluation of Young's modulus of single walled carbon nanotube (SWNT) reinforced concrete composite, J. Eng. Appl. Sci., vol. 3, no. 6, pp. 504-515, 2008.
7. C.Y. Wang and L.C. Zhang, A critical assessment of the elastic properties and effective wall thickness of single-walled carbon nanotubes, Nanotechnology, vol. 19, p. 075705, 2008.
8. Y.D. Kuang and X.Q. He, Young's moduli of functionalized single-wall carbon nanotubes under tensile loading, Compos. Sci. Tech., vol. 69, pp. 169-175, 2009.
9. L.C. Zhang, On the mechanics of single-walled carbon nanotubes, J. Mater. Process. Tech., vol. 209, pp. 4223-4228, 2009.
10. C.M. Wang, V.B.C. Tan, and Y.Y. Zhang, Timoshenko beam model for vibration analysis of multiwalled carbon nanotubes, J. Sound Vibra., vol. 294, pp. 1060-1072, 2006.
11. M. Aydogdu, Vibration of multi-walled carbon nanotubes by generalized shear deformation theory, Int. J. Mech. Sci., vol. 50, pp. 837-844, 2008. (Pubitemid 351417858)
12. M. Aydogdu, Effects of shear deformation on vibration of doublewalled carbon nanotubes embedded in an elastic medium, Arch. Appl. Mech., vol. 78, pp. 711-723, 2008.
13. S.S. Amin, H. Dalir, and A. Farshidianfar, Carbon nanotube-reinforced composites: Frequency analysis theories based on the matrix stiffness, Comput. Mech., vol. 43, pp. 515-524, 2009.
14. W.J. Chang and H.L. Lee, Free vibration of a single-walled carbon nanotube containing a fluid flow using the Timoshenko beam model, Phys. Lett. A, vol. 373, pp. 982-985, 2009.
15. Y.Y. Zhang, C.M.Wang, and V.B.C. Tan, Assessment of Timoshenko beam models for vibrational behavior of single-walled carbon nanotubes using Molecular Dynamics, Adv. Appl. Math. Mech., vol. 1, no. 1, pp. 89-106, 2009.
16. K. Dong, S.Q. Zhu, and X. Wang, Wave propagation in multiwall carbon nanotubes embedded in a matrix material, Compos. Struct., vol. 82, pp. 1-9, 2008. (Pubitemid 47413130)
17. C.N. Foo, Vibration of single-walled carbon nanotubes based on cylindrical shell model, http://www.nus.edu.sg/nurop/2009/FoE/U076369B.PDF
18. C.Y.Wang and L.C. Zhang, An elastic shell model for characterizing singlewalled carbon nanotubes, Nanotechnology, vol. 19, p. 195704, 2008.
19. X.Q. He, M. Eisenberger, and K.M. Liew, The effect of van der Waals interaction modeling on the vibration characteristics of multiwalled carbon nanotubes, J. Appl. Phys., vol. 100, pp. 1-12, 2006.
20. X.Q. He, S. Kitipornchai, and K.M. Liew, Buckling analysis of multiwalled carbon nanotubes: A continuum model accounting for van derWaals interaction, J. Mech. Phys. Solids, vol. 53, pp. 303-326, 2005. (Pubitemid 40003149)
21. X.Yao and Q. Han, Torsional buckling and postbuckling equilibrium path of double-walled carbon nanotubes, Compos. Sci. Tech., vol. 68, pp. 113-120, 2008. (Pubitemid 47629770)
22. E. Carrera, A class of two dimensional theories for multilayered plates analysis, Atti Accademia delle Scienze di Torino, Mem. Sci. Fis., vol. 19- 20, no. 49-87, 1995.
23. E. Carrera, Theories and finite elements for multilayered plates and shells: A unified compact formulation with numerical assessment and benchmarking, Arch. Comput. Meth. Engineer., vol. 10, pp. 215-297, 2003.