Simulating the buc
Alireza Vahdati*1, Mehdi Vahdati1,2, R. A. Mahdavinejad2
1Mechanical Engineering Department, Naein Branch, Islamic Azad University, Naein, Iran
2Department of Mechanical engineering, Faculty of Engineering, University of Tehran, Tehran, Iran
Corresponding author: Vahdati@naeiniau.ac.ir
Abstract: Carbon nanotubes are increasingly used in fabrication of nano-detectors and other nano devices. Herein, the buckling of a carbon nano-tube made detector is simulated. In order to obtain nonlinear constitutive equation of the detectors we assume the distributed electrostatic and Van der Waals attractions along the CNT length. By considering the nano forces in a continuum mechanics model we were able to achieve the differential equation of the CNT. In the next step by applying Adomian series solution, we provided an analytical closed-form solution of CNTs. The deflection and the buckling parameters are determined and discussed in detail. The analytical obtained results are compared with those of literature as well as numerical solution. The obtained results revealed that the presented continuum based model is in good agreement with experimental result. Moreover it is found that the analytical solution can be considered as a reliable approach to study the buckling stability of detectors in nanoscales where the presence of van der Waals force is important.
[Vahdati A, Vahdati M, Mahdavinejad R A. Simulating the buckling deflection of carbon nanotube-made detectors used in medical detections by applying a continuum mechanics model. Life Sci J 2013;10(1):186-191] (ISSN:1097-8135). http://www.lifesciencesite.com. 27
Key words: Carbon nanotube (CNT), Buckling, Continuum model, Nano-detector, Electrostatic, Modified Adomian method (MAD).