Static Analysis of Single Walled Carbon Nanotubes (Swcnt) Based on Eringen’s Nonlocal Elasticity Theory

Volume: 1 Number: 2 June 1, 2009
  • Ö. Civalek
  • Ç Demir
  • B. Akgöz
EN

Static Analysis of Single Walled Carbon Nanotubes (Swcnt) Based on Eringen’s Nonlocal Elasticity Theory

Abstract

Static analysis of carbon nanotubes (CNT) is presented using the nonlocal Bernoulli-Euler beam theory. Differential quadrature (DQ) method is used for bending analysis of numerical solution of carbon nanotubes. Numerical results are presented and compared with that available in the literature. Deflection and bending moment are presented for different boundary conditions. It is shown that reasonable accurate results are obtained

Keywords

References

  1. [1] Iijima, S. Helical Microtubules of Graphitic Carbon. Nature, 354,56-58, 1991.
  2. [2] Wang, C.M, Tan, V.B.C., Zhang, V. Timoshenko beam model for vibration analysis of multi-walled carbon nanotubes. J. Sound Vib. 294, 1060-1072, 2006.
  3. [3] Peddieson, J., Buchanan, G.R., McNitt, R.P. Application of nonlocal continuum models to nanotechnology. Int. J. Eng Sci, 41, 305-312, 2003.
  4. [4] Zhang, Y.Q. Liu, G.R. Han, X, Effect of small length scale on elastic buckling of multi-walled carbon nanotubes under radial pressure. Physics Letters A, 349, 370-376, 2006.
  5. [5] Wang, Q. Wave propagation in carbon nanotubes via nonlocal continuum mechanics. J. Appl Phy, 98,124301, 2005.
  6. [6] Wang, Q., Varadan, V.K. Application of Nonlocal Elastic Shell Theory in Wave Propagation Analysis of Carbon Nanotubes, Smart Materials and Structures, 16, 178-190, 2007.
  7. [7] Wang, Q. Wang, C.M. On constitutive relation and small scale parameter of nonlocal continuum mechanics for modeling carbon nanotubes, Nanotechnology, 18,075702, 2007.
  8. [8] Wang, L.F. Hu, H.Y. Flexural wave propagation in single-walled carbon nanotubes, Physical Review B, 71,195412, 2005.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Ö. Civalek This is me

Ç Demir This is me

B. Akgöz This is me

Publication Date

June 1, 2009

Submission Date

June 1, 2009

Acceptance Date

-

Published in Issue

Year 2009 Volume: 1 Number: 2

APA
Civalek, Ö., Demir, Ç., & Akgöz, B. (2009). Static Analysis of Single Walled Carbon Nanotubes (Swcnt) Based on Eringen’s Nonlocal Elasticity Theory. International Journal of Engineering and Applied Sciences, 1(2), 47-56. https://izlik.org/JA67YX43EK
AMA
1.Civalek Ö, Demir Ç, Akgöz B. Static Analysis of Single Walled Carbon Nanotubes (Swcnt) Based on Eringen’s Nonlocal Elasticity Theory. IJEAS. 2009;1(2):47-56. https://izlik.org/JA67YX43EK
Chicago
Civalek, Ö., Ç Demir, and B. Akgöz. 2009. “Static Analysis of Single Walled Carbon Nanotubes (Swcnt) Based on Eringen’s Nonlocal Elasticity Theory”. International Journal of Engineering and Applied Sciences 1 (2): 47-56. https://izlik.org/JA67YX43EK.
EndNote
Civalek Ö, Demir Ç, Akgöz B (June 1, 2009) Static Analysis of Single Walled Carbon Nanotubes (Swcnt) Based on Eringen’s Nonlocal Elasticity Theory. International Journal of Engineering and Applied Sciences 1 2 47–56.
IEEE
[1]Ö. Civalek, Ç. Demir, and B. Akgöz, “Static Analysis of Single Walled Carbon Nanotubes (Swcnt) Based on Eringen’s Nonlocal Elasticity Theory”, IJEAS, vol. 1, no. 2, pp. 47–56, June 2009, [Online]. Available: https://izlik.org/JA67YX43EK
ISNAD
Civalek, Ö. - Demir, Ç - Akgöz, B. “Static Analysis of Single Walled Carbon Nanotubes (Swcnt) Based on Eringen’s Nonlocal Elasticity Theory”. International Journal of Engineering and Applied Sciences 1/2 (June 1, 2009): 47-56. https://izlik.org/JA67YX43EK.
JAMA
1.Civalek Ö, Demir Ç, Akgöz B. Static Analysis of Single Walled Carbon Nanotubes (Swcnt) Based on Eringen’s Nonlocal Elasticity Theory. IJEAS. 2009;1:47–56.
MLA
Civalek, Ö., et al. “Static Analysis of Single Walled Carbon Nanotubes (Swcnt) Based on Eringen’s Nonlocal Elasticity Theory”. International Journal of Engineering and Applied Sciences, vol. 1, no. 2, June 2009, pp. 47-56, https://izlik.org/JA67YX43EK.
Vancouver
1.Ö. Civalek, Ç Demir, B. Akgöz. Static Analysis of Single Walled Carbon Nanotubes (Swcnt) Based on Eringen’s Nonlocal Elasticity Theory. IJEAS [Internet]. 2009 Jun. 1;1(2):47-56. Available from: https://izlik.org/JA67YX43EK

21357