NONLOCAL DEFLECTION OF MICROTUBULES UNDER POINT LOAD

Volume: 7 Number: 3 September 1, 2015
  • Çiğdem Demir
  • Ömer Civalek
EN

NONLOCAL DEFLECTION OF MICROTUBULES UNDER POINT LOAD

Abstract

Bending of microtubules due to a point load has been investigated by using Euler Bernoulli beam theory.The governing equations are derived based on Hamilton’s principle. The size effect is taken into consideration using the Eringen’s nonlocal elasticity theory. Some parametric results have been presented for nonlocal beam

Keywords

References

  1. [1] Eringen, A.C., On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. Journal of Applied Physics, 54, 4703–4710, 1983.
  2. [2] Peddieson, J., Buchanan, G. R., McNitt, R. P., Application of nonlocal continuum models to nanotechnology. International Journal of Engineering Science, 41, 305-312, 2003.
  3. [3] Sudak, L.J., Column buckling of multiwalled carbon nanotubes using nonlocal continuum mechanics. Journal of Applied Physics, 94, 7281–7287, 2003.
  4. [4] Civalek, Ö., Akgöz, B., Free vib ration analysis of microtubules as cytoskeleton components: Nonlocal Euler-Bernoulli beam modeling. Scientia Iranica, Transaction B- Mechanical Engineering, 17(5), 367-375, 2010.
  5. [5] Civalek, Ö., Demir, Ç., Akgöz, B., Free vibration and bending analyses of cantilever microtubules based on nonlocal continuum model. Mathematical and Computational Applications, 15, 289-298, 2010.
  6. [6] Civalek, Ö., Demir, Ç., Bending analysis of microtubules using nonlocal Euler-Bernoulli beam theory. Applied Mathematical Modeling, 35, 2053-2067, 2011
  7. [7] Hawkins, T., Mirigian, M., Yasar, M. S., Ross, J., Mechanics of microtubules. Journal of Biomechanics, 43(1), 23-30, 2009.
  8. [8] Howard, J., Hyman, A. A., Dynamics and mechanics of the microtubule plus end. Nature, 422, 753-758, 2003.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Çiğdem Demir This is me

Ömer Civalek This is me

Publication Date

September 1, 2015

Submission Date

September 1, 2015

Acceptance Date

-

Published in Issue

Year 2015 Volume: 7 Number: 3

APA
Demir, Ç., & Civalek, Ö. (2015). NONLOCAL DEFLECTION OF MICROTUBULES UNDER POINT LOAD. International Journal of Engineering and Applied Sciences, 7(3), 33-39. https://doi.org/10.24107/ijeas.251254
AMA
1.Demir Ç, Civalek Ö. NONLOCAL DEFLECTION OF MICROTUBULES UNDER POINT LOAD. IJEAS. 2015;7(3):33-39. doi:10.24107/ijeas.251254
Chicago
Demir, Çiğdem, and Ömer Civalek. 2015. “NONLOCAL DEFLECTION OF MICROTUBULES UNDER POINT LOAD”. International Journal of Engineering and Applied Sciences 7 (3): 33-39. https://doi.org/10.24107/ijeas.251254.
EndNote
Demir Ç, Civalek Ö (September 1, 2015) NONLOCAL DEFLECTION OF MICROTUBULES UNDER POINT LOAD. International Journal of Engineering and Applied Sciences 7 3 33–39.
IEEE
[1]Ç. Demir and Ö. Civalek, “NONLOCAL DEFLECTION OF MICROTUBULES UNDER POINT LOAD”, IJEAS, vol. 7, no. 3, pp. 33–39, Sept. 2015, doi: 10.24107/ijeas.251254.
ISNAD
Demir, Çiğdem - Civalek, Ömer. “NONLOCAL DEFLECTION OF MICROTUBULES UNDER POINT LOAD”. International Journal of Engineering and Applied Sciences 7/3 (September 1, 2015): 33-39. https://doi.org/10.24107/ijeas.251254.
JAMA
1.Demir Ç, Civalek Ö. NONLOCAL DEFLECTION OF MICROTUBULES UNDER POINT LOAD. IJEAS. 2015;7:33–39.
MLA
Demir, Çiğdem, and Ömer Civalek. “NONLOCAL DEFLECTION OF MICROTUBULES UNDER POINT LOAD”. International Journal of Engineering and Applied Sciences, vol. 7, no. 3, Sept. 2015, pp. 33-39, doi:10.24107/ijeas.251254.
Vancouver
1.Çiğdem Demir, Ömer Civalek. NONLOCAL DEFLECTION OF MICROTUBULES UNDER POINT LOAD. IJEAS. 2015 Sep. 1;7(3):33-9. doi:10.24107/ijeas.251254

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