Longitudinal wave propagation in multiwalled carbon nanotubes

Composite Structures

Volumn 107, Issue , 2014, Pages 578-584

  Aydogdu, Metin ^a  

^a TRAKYA UNIVERSITY   (Turkey)

Author keywords

Longitudinal wave propagation; Multiwalled carbon nanotubes; Nonlocal elastic multiwalled rod model; Van der Waals forces

Indexed keywords

AXIAL DIRECTION; DOUBLE-WALLED CARBON NANOTUBES; LONGITUDINAL WAVE PROPAGATION; NANOSCALE ELECTROMECHANICAL SYSTEMS; NANOSCALE LINEAR MOTOR; NON-LOCAL ELASTICITY THEORIES; RELATIVE MOTION; ROD MODEL;

ELASTICITY; MULTIWALLED CARBON NANOTUBES (MWCN); NANOTECHNOLOGY; VAN DER WAALS FORCES;

WAVE PROPAGATION;

EID: 84889650107     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2013.08.031     Document Type: Article

References (41)

1. Eringen A.C. Nonlocal polar field models 1976, Academic Press, New York.
2. Eringen A.C. On differential equations of nonlocal elasticity and solutions of screw dislocation and surface-waves. Appl Phys 1983, 54:4703-4710.
3. Peddieson J., Buchanan, McNitt R.P. Application of nonlocal continuum models to nanotechnology. Int J Eng Sci 2003, 41:305-312.
4. Sudak L.J. Column buckling of multiwalled carbon nanotubes using nonlocal continuum mechanics. J Appl Phys 2003, 94:7281-7287.
5. Wang Q., Liew K.M. Application of nonlocal continuum mechanics to static analysis of micro- and nano-structures. Phys Lett A 2007, 363:236-242.
6. Aydogdu M. A general nonlocal beam theory: its application to nanobeam bending, buckling and vibration. Physica E 2009, 41:1651-1655.
7. Uymaz B. Forced vibration analysis of functionally graded beams using nonlocal elasticity. Compos Struct 2013, 105:227-239.
8. Challamel N. Variational formulation of gradient or/and nonlocal higher-order shear elasticity beams. Compos Struct 2013, 105:351-368.
9. Ghannadpour S.A.M., Mohammadi B., Fazilati J. Bending, buckling and vibration problems of nonlocal Euler beams using Ritz method. Compos Struct 2013, 96:584-589.
10. Eltaher M.A., Emam S.A., Mahmoud F.F. Static and stability analysis of nonlocal functionally graded nanobeams. Compos Struct 2013, 96:82-88.
11. Simsek M., Yurtcu H.H. Analytical solutions for bending and buckling of functionally graded nanobeams based on the nonlocal Timoshenko beam theory. Compos Struct 2013, 97:378-386.
12. Ke L.L., Wang Y.S., Wang Z.D. Nonlinear vibration of the piezoelectric nanobeams based on thenonlocal theory. Compos Struct 2013, 94:2038-2047.
13. Fazelzadeh S.A., Ghavanloo E. Nonlocal anisotropic elastic shell model for vibrations of single-walled carbon nanotubes with arbitrary chirality. Compos Struct 2013, 94:1016-1022.
14. Arash B., Wang Q. A review on the application of nonlocal elastic models in modeling of carbon nanotubes and graphenes. Comput Mater Sci 2012, 51(1):303-313.
15. Hu Y.G., Liew K.M., Wang Q., He X.Q., Yakobson B.I. Nonlocal shell model for elastic wave propagation in single- and double-walled carbon nanotubes. J Mech Phys Solids 2008, 56:3475-3485.
16. Wang Q., Zhou G.Y., Lin K.C. Scale effect on wave propagation of double walled carbon nanotubes. Int J Solids Struct 2006, 43:6071-6084.
17. Wang Q., Varadan V.K. Wave characteristics of carbon nanotubes. Int J Solids Struct 2006, 43:254-265.
18. Yoon J., Ru C.Q., Mioduchowski A. Sound wave propagation in multiwall carbon nanotubes. J Appl Phys 2003, 93:4801-4806.
19. Yoon J., Ru C.Q., Mioduchowski A. Timoshenko-beam effects on transverse wave propagation in carbon nanotubes. Compos Part B: Eng 2004, 35:87-93.
20. Huang Y., Luo Q.Z., Li X.F. Transverse waves propagating in carbon nanotubes via a higher-order nonlocal beam model. Compos Struct 2013, 95:328-336.
21. Dong K., Zhu S.Q., Wang X. Wave propagation in multiwall carbon nanotubes embedded in a matrix material. Compos Struct 2008, 82:1-9.
22. Narendar S., Gopalakrishnan S. Nonlocal scale effects on ultrasonic wave characteristics of nanorods. Phys E: Low-dimens Syst Nanostruct 2010, 42:1601-1604.
23. Narendar S. Terahertz wave propagation in uniform nanorods: a nonlocal continuum mechanics formulation including the effect of lateral inertia. Phys E: Low-dimens Syst Nanostruct 2011, 43:1015-1020.
24. Aydogdu M. Longitudinal wave propagation in nanorods using a general nonlocal unimodal rod theory and calibration of nonlocal parameter with lattice dynamics. Int J Eng Sci 2012, 56:17-28.
25. Aydogdu M. Axial vibration of the nanorods with the nonlocal continuum rod model. Physica E 2009, 41:861-864.
26. Danesh M., Farajpour A., Mohammadi M. Axial vibration analysis of a tapered nanorod based on nonlocal elasticity theory and differential quadrature method. Mech Res Commun 2012, 39:23-27.
27. Dong L., Nelson B.J., Fukuda T., Arai F. Towards nanotube linear servomotors. IEEE Trans Autom Sci Eng 2006, 3(3):228-235.
28. Kimoto Y., Mori H., Mikami T., Akita S., Nakayama Y., Higashi K., et al. Molecular dynamics study of doublewalled carbon nanotubes for nano-mechanical manipulation. Jpn J Appl Phys 2005, 44:1641-1647.
29. Yu M.F., Yakobson B.I., Ruoff R.S. Controlled sliding and pullout of nested shells in individual multiwalled carbon nanotubes. J Phys Chem B 2000, 104:8764-8767.
30. Xia Z., Curtin W.A. Pullout forces and friction in multiwalled carbon nanotubes. Phys Rev B 2004, 69:233408.
31. Akita S., Nakayama Y. Interlayer sliding force of individual multiwalled carbon nanotubes. Jpn J Appl Phys 2003, 42:4830-4833.
32. Zhao X., Cummings P.T. Molecular dynamics study of carbon nanotubes oscillators revisited. J Chem Phys 2006, 124134705.
33. Yamamoto G., Liu S., Hu N., Hashida T., Liu Y., Yan C., et al. Prediction of pull-out force of multiwalled carbon naotube (MWCNT) in sword-in-steath mode. Comput Mater Sci 2012, 60:7-12.
34. Yasuda M., Chihara Y., Mimura R., Kimoto Y., Kawata H., Hirai Y. Performance evaluation of carbon nanotube-based oscillators. Microelectron Eng 2012, 97:241-246.
35. Cox B.J., Thamwattana N., Hill J.M. Mechanics of nanotubes oscillating in carbon nanotube bundles. Proc R Soc Lond Ser A 2008, 464:691-710.
36. Reddy J.N. Nonlocal theories for bending, buckling and vibration of beams. Int J Eng Sci 2007, 45:288-307.
37. Aydogdu M. Axial vibration analysis of nanorods (carbon nanotubes) embedded in an elastic medium using nonlocal elasticity. Mech Res Commun 2012, 43:34-40.
38. Ru C.Q. Elastic models for carbon nanotubes. Encyclopedia of nanoscience and nanotechnology 2004, 731. American Scientific Publishers. H.S. Nalwa (Ed.).
39. Wang Q., Wang C.M. The constitutive relation and small scale parameter of nonlocal continuum mechanics for modeling carbon nanotubes. Nanotechnology 2007, 18:075702.
40. Lu P., Lee H.P., Lu C., Zhang P.Q. Application of nonlocal beam models for carbon nanotubes. Int J Solids Struct 2007, 44:5289-5300.
41. Metrikine A.V. On causality of the gradient elasticity models. J Sound Vib 2006, 297:727-742.