An efficient numerical model for vibration analysis of single-walled carbon nanotubes

Computational Mechanics

Volumn 43, Issue 6, 2009, Pages 731-741

  Georgantzinos, S K ^a   Giannopoulos, G I ^a   Anifantis, N K ^a  

^a UNIVERSITY OF PATRAS   (Greece)

Author keywords

Carbon nanotubes; Defect; Finite element analysis; Modal analysis; Nanosprings

Indexed keywords

ATOMS; CARBON; CARBON NANOTUBES; COMPUTATION THEORY; DEFECTS; DYNAMICS; FINITE ELEMENT METHOD; MODAL ANALYSIS; NANOTUBES; VIBRATION ANALYSIS; YARN;

DYNAMIC EQUILIBRIUM EQUATION; ELEMENT FORMULATION; GEOMETRIC CHARACTERISTICS; NANOSPRINGS; NATURAL FREQUENCIES AND MODES; NUMERICAL PREDICTIONS; NUMERICAL TREATMENTS; PHYSICAL VARIABLES;

SINGLE-WALLED CARBON NANOTUBES (SWCN);

EID: 60449099005     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-008-0341-8     Document Type: Article

References (22)

1. N Sinha JTW Yeow 2005 Carbon nanotubes for biomedical applications IEEE Trans Nanaobiosci 4 180 195
2. RF Gibson EO Ayorinde Y Weng 2007 Vibrations of carbon nanotubes and their composites: A review Compos Sci Tech 67 1 28
3. D Qian GJ Wagner WK Liu 2002 Mechanics of carbon nanotubes Appl Mech Rev 55 495 533
4. GM Odegard TS Gates LM Nicholson KE Wise 2002 Equivalent-continuum modeling of nano-structured materials Compos Sci Tech 62 1869 1880
5. C Li T-W Chou 2005 A structural mechanics approach for the analysis of carbon nanotubes Int J Solids Struct 40 2487 2499
6. C Li T-W Chou 2003 Single-walled carbon nanotubes as ultrahigh frequency nanomechanical resonators Phys Rev B 68 073405
7. C Li T-W Chou 2004 Vibrational behaviors of multiwalled-carbon-nanotube- based nanomechanical resonator Appl Phys Lett 84 121 123
8. YW Kwon C Mathena JJ Oh D Srivastava 2005 Vibrational characteristics of carbon nanotubes as nanomechanical resonators J Nanosci Nanotech 5 703 712
9. B Liu Y Huand H Jiang S Qu KC Hwang 2004 The atomic-scale finite element method Comput Methods Appl Mech Eng 193 1849 1864
10. D Garcia-Sanchez A San Paulo MJ Esplandiu F Perez-Murano L Forro A Aguasca A Bachtold 2007 Mechanical detection of carbon nanotube resonanor Vibrations Phys Rev Lett 99 085501
11. RS Ruoff D Qian WK Liu 2003 Mechanical Properties of carbon nanotubes: theoretical predictions and experimental measurements CR Phys 4 993 1008
12. GI Giannopoulos PA Kakavas NK Anifantis 2008 Evaluation of the effective mechanical properties of single walled carbon nanotubes using a spring based finite element approach Comput Mater Sci 41 561 569
13. J Wu KC Hwang Y Huang 2008 An atomistic-based finite-deformation shell theory for single-wall carbon nanotubes J Mech Phys Solids 56 279 292
14. J Wu KC Hwang J Song Y Huang 2008 Material and structural instabilities of single-wall carbon nanotubes Acta Mech Sin/Lixue Xuebao 24 285 288
15. J Penga J Wu KC Hwang J Song Y Huang 2008 Can a single-wall carbon nanotube be modeled as a thin shell? J Mech Phys Solids 56 2213 2224
16. MS Dresselhaus G Dresselhaus R Saito 1995 Physics of carbon nanotubes Carbon 33 883 891
17. J Kołoczek K Young-Kyun A Burian 2001 Characterization of spatial correlations in carbon nanotubes-modelling studies J Alloys Compd 28 222 225
18. AK Rappe CJ Casewit KS Colwell WA Goddard WM Skiff 1992 UFF, A full periodic table force-field for molecular mechanics and molecular dynamics simulations J Am Chem Soc 114 10024 10035
19. Gelin BR (1994) Molecular modeling of polymer structures and properties. Hanser/Gardner Publishers, Cincinnati
20. WD Cornell P Cieplak CI Bayly IR Gould KM Merz Jr DM Ferguson DC Spellmeyer T Fox JW Caldwell PA Kollman 1995 A second generation force-field for the simulation of proteins, nuclei-acide, and organic-molecules J Am Chem Soc 117 5179 5197
21. WL Jorgensen DL Severance 1990 Aromatic interactions-free-energy profiles for the benzene dimer in water, chloroform, and liquid benzene J Am Chem Soc 112 4768 4774
22. L Nasdala G Ernst 2005 Development of a 4-node finite element for computation of nano-structured materials Comput Mater Sci 33 443 458