Nonlocal anisotropic elastic shell model for vibrations of single-walled carbon nanotubes with arbitrary chirality

Composite Structures

Volumn 94, Issue 3, 2012, Pages 1016-1022

  Fazelzadeh, S A ^a   Ghavanloo, E ^a  

^a SHIRAZ UNIVERSITY   (Iran)

Author keywords

Anisotropic elastic shell model; Nonlocal elasticity; Single walled carbon nanotube; Vibration

Indexed keywords

ANALYTICAL SOLUTIONS; ANISOTROPIC ELASTIC; COMPLEX METHODS; CONSTITUTIVE RELATIONS; LOCAL MODEL; NONLOCAL; NONLOCAL ELASTICITY; SHELL THEORY; SINGLE-WALLED CARBON; SMALL SCALE; VIBRATION;

ANISOTROPY; CARBON; CHIRALITY; ELASTICITY; ENANTIOMERS; EQUATIONS OF MOTION; SHELLS (STRUCTURES); VIBRATION ANALYSIS;

SINGLE-WALLED CARBON NANOTUBES (SWCN);

EID: 84855192189     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2011.10.014     Document Type: Article

References (41)

1. Lim C.W., Li C., Yu J.L. Dynamic behaviour of axially moving nanobeams based on nonlocal elasticity approach. Acta Mech Sin 2010, 26:755-765.
2. Aydogdu M. Axial vibration of the nanorods with the nonlocal continuum rod model. Physica E 2009, 41:861-864.
3. Zhou J., Dong J. Radial breathing-like mode of wide carbon nanoribbon. Phys Lett A 2008, 372:7183-7186.
4. Pradhan S.C., Phadikar J.K. Nonlocal elasticity theory for vibration of nanoplates. J Sound Vib 2009, 325:206-223.
5. Liew K.M., Wei J.X., He X.Q. Carbon nanocones under compression: buckling and post-buckling behaviors. Phys Rev B 2007, 75:195435.
6. Sakhaee-Pour A., Ahmadiana M.T., Vafai A. Potential application of single-layered graphene sheet as strain sensor. Solid State Commun 2008, 147:336-340.
7. Wang C.Y., Zhang L.C. An elastic shell model for characterizing single-walled carbon nanotubes. Nanotechnology 2008, 19:195704-195709.
8. Alexiadis A., Kassinos S. Molecular simulation of water in carbon nanotubes. Chem Rev 2008, 108:5014-5034.
9. Belytschko T., Xiao S.P., Schatz G.C., Ruoff R.S. Atomistic simulations of nanotube fracture. Phys Rev B 2002, 65:235430.
10. Wu J., Hwang K.C., Huang Y. An atomistic-based finite-deformation shell theory for single-wall carbon nanotubes. J Mech Phys Solids 2008, 56:279-292.
11. Silvestre N., Wang C.M., Zhang Y.Y., Xiang Y. Sanders shell model for buckling of single-walled carbon nanotubes with small aspect ratio. Compos Struct 2011, 93:1683-1691.
12. Gibson R.F., Ayorinde E.O., Wen Y.F. Vibrations of carbon nanotubes and their composites: a review. Comput Sci Technol 2007, 67:1-28.
13. Wang C.Y., Ru C.Q., Mioduchowski A. Applicability and limitations of simplified elastic shell equations for carbon nanotubes. J Appl Mech 2004, 71:622-631.
14. Wang C.Y., Ru C.Q., Mioduchowski A. Axisymmetric and beamlike vibrations of multiwall carbon nanotubes. Phys Rev B 2005, 72:075414.
15. Gupta S.S., Batra R.C. Continuum structures equivalent in normal mode vibrations to single-walled carbon nanotubes. Comput Mater Sci 2008, 43:715-723.
16. Wang C.Y., Li C.F., Adhikari S. Axisymmetric vibration of single-walled carbon nanotubes in water. Phys Lett A 2010, 374:2467-2474.
17. Cinefra M., Carrera E., Brischetto S. Refined shell models for the vibration analysis of multiwalled carbon nanotubes. Mech Adv Mater Struct 2011, 18(7):476-483.
18. Ansari R., Rouhi H., Sahmani S. Calibration of the analytical nonlocal shell model for vibrations of double-walled carbon nanotubes with arbitrary boundary conditions using molecular dynamics. Int J Mech Sci 2011, 53:786-792.
19. Wang C.M., Tay Z.Y., Chowdhuary A.N.R., Duan W.H., Zhang Y.Y., Silvestre N. Examination of cylindrical shell theories for buckling of carbon nanotubes. Int J Struct Stab Dyn 2011, 11:1035-1058.
20. Chang T., Gao H. Size-dependent elastic properties of a single-walled carbon nanotube via a molecular mechanics model. J Mech Phys Solids 2003, 51:1059-1074.
21. Wang L.F., Zheng Q.S., Liu J.Z., Jiang Q. Size dependence of the thin-shell model for carbon nanotubes. Phys Rev Lett 2005, 95:105501.
22. Chang T., Geng J., Guo X. Prediction of chirality- and size-dependent elastic properties of single-walled carbon nanotubes via a molecular mechanics model. Proc Roy Soc A 2006, 462:2523-2540.
23. Cao G., Chen X. The effects of chirality and boundary conditions on the mechanical properties of single-walled carbon nanotubes. Int J Solids Struct 2007, 44:5447-5465.
24. Chandraseker K., Mukherjee S. Coupling of extension and twist in single-walled carbon nanotubes. J Appl Mech 2006, 73:315-326.
25. Zhang H.W., Wang L., Wang J.B., Zhang Z.Q., Zhang Y.G. Torsion induced by axial strain of double-walled carbon nanotubes. Phys Lett A 2008, 372:3488-3492.
26. Zhang Y.Y., Tan V.B.C., Wang C.M. Effect of chirality on buckling behavior of single-walled carbon nanotubes. J Appl Phys 2006, 100:074304.
27. Ru C.Q. Chirality-dependent mechanical behavior of carbon nanotubes based on an anisotropic elastic shell model. Math Mech Solids 2009, 14:88-101.
28. Chang T. A molecular based anisotropic shell model for single-walled carbon nanotubes. J Mech Phys Solids 2010, 58:1422-1433.
29. Arash B., Ansari R. Evaluation of nonlocal parameter in the vibrations of single-walled carbon nanotubes with initial strain. Physica E 2010, 42:2058-2064.
30. Eringen A.C. Nonlocal continuum field theories 2002, Springer-Verlag, New York.
31. Eringen A.C. On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. J Appl Phys 1983, 54:4703-4710.
32. Reddy J.N. Mechanics of laminated composite plates and shells 2004, CRC Press, New York.
33. Wang Q., Varadan V.K. Application of nonlocal elastic shell theory in wave propagation analysis of carbon nanotubes. Smart Mater Struct 2007, 16:178-190.
34. Huang Y., Wu J., Hwang K.C. Thickness of graphene and single-wall carbon nanotubes. Phys Rev B 2006, 74:245413.
35. Yakobson B.I., Brabec C.J., Bernholc J. Nanomechanics of carbon tubes: instabilities beyond linear response. Phys Rev Lett 1996, 76:2511-2514.
36. Zhou X., Zhou J.J., Ou-Yang Z.C. Strain energy and Young's modulus of single-wall carbon nanotubes calculated from electronic energy-band theory. Phys Rev B 2000, 62:13692.
37. 2F, BN, and C nanoshell elasticity from ab initio computations. Phys Rev B 2001, 64:235406.
38. Tu Z., Ou-Yang Z. Single-walled and multiwalled carbon nanotubes viewed as elastic tubes with the effective Young's moduli dependent on layer number. Phys Rev B 2002, 65:233407.
39. Vodenitcharova T., Zhang L.C. Effective wall thickness of a single-walled carbon nanotubes. Phys Rev B 2003, 68:165401.
40. Pantano A., Parks D.M., Boyce M.C. Nonlinear structural mechanics based modeling of carbon nanotube deformation. Phys Rev Lett 2004, 91:145504.
41. Benzair A., Tounsi A., Besseghier A., Heireche H., Moulay N., Boumia L. The thermal effect on vibration of single-walled carbon nanotubes using nonlocal Timoshenko beam theory. J Phys D Appl Phys 2008, 41:225404-225413.