Application of nonlocal beam models for carbon nanotubes

International Journal of Solids and Structures

Volumn 44, Issue 16, 2007, Pages 5289-5300

  Lu, Pin ^a,b   Lee, H P ^a,c   Lu, C ^a   Zhang, P Q ^b  

^a INSTITUTE OF HIGH PERFORMANCE COMPUTING   (Singapore)

^b UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

^c NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Carbon nanotubes; Euler beam theory; Nonlocal continuum mechanics; Timoshenko beam theory; Wave propagation

Indexed keywords

CONTINUUM MECHANICS; MOLECULAR VIBRATIONS; MULTIWALLED CARBON NANOTUBES (MWCN); WAVE EQUATIONS; WAVE PROPAGATION;

EULER BEAM THEORY; NONLOCAL CONTINUUM MECHANICS; TIMOSHENKO BEAM THEORY;

SINGLE-WALLED CARBON NANOTUBES (SWCN);

EID: 34047097760     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2006.12.034     Document Type: Article

References (16)

1. Doyle J.F. Wave Propagation in Structures. second ed. (1997), Springer-Verlag, New York
2. Eringen A.C. On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. J. Appl. Phys. 54 (1983) 4703-4710
3. Eringen A.C. Nonlocal Continuum Field Theories (2002), Springer-Verlag, New York
4. Lu P., Lee H.P., Lu C., and Zhang P.Q. Dynamic properties of flexural beams using a nonlocal elasticity model. J. Appl. Phys. 99 (2006) 073510
5. Peddieson J., Buchanan G.R., and McNitt R.P. Application of nonlocal continuum models to nanotechnology. Int. J. Eng. Sci. 41 (2003) 305-312
6. Raichura A., Dutta M., and Stroscio M.A. Quantized acoustic vibrations of single-wall carbon nanotube. J. Appl. Phys. 94 (2003) 4060-4065
7. Sudak L.J. Column buckling of multiwalled carbon nanotubes using nonlocal continuum mechanics. J. Appl. Phys. 94 (2003) 7281-7287
8. Wang Q. Wave propagation in carbon nanotubes via nonlocal continuum mechanics. J. Appl. Phys. 98 (2005) 124301
9. Wang L.F., and Hu H.Y. Flexural wave propagation in single-walled carbon nanotubes. Phys. Rev. B 71 (2005) 195412
10. Wang Q., Zhou G.Y., and Lin K.C. Scale effect on wave propagation of double-walled carbon nanotubes. Int. J. Solids Struct. 43 (2006) 6071-6084
11. Wang Q., and Varadan V.K. Vibration of carbon nanotubes studied using nonlocal continuum mechanics. Smart Mater. Struct. 15 (2006) 659-666
12. Weaver W., Timoshenko S.P., and Young D.H. Vibration Problems in Engineering (1990), Wiley, New York
13. Yoon J., Ru C.Q., and Mioduchowski A. Timoshenko-beam effects on transverse wave propagation in carbon nanotubes. Composites B 35 (2004) 87-93
14. Zhang Y.Q., Liu G.R., and Wang J.S. Small-scale effects on buckling of multiwalled carbon nanotubes under axial compression. Phys. Rev. B 70 (2004) 205430
15. Zhang Y.Q., Liu G.R., and Xie X.Y. Free transverse vibration of double-walled carbon nanotubes using a theory of nonlocal elasticity. Phys. Rev. B 71 (2005) 195404
16. Zienkiewicz O.C., and Taylor R.L. The Finite Element Method for Solid and Structural Mechanics. sixth ed. (2005), Elsevier, Oxford