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Journal of Applied Sciences
  Year: 2011 | Volume: 11 | Issue: 19 | Page No.: 3421-3428
DOI: 10.3923/jas.2011.3421.3428
 
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Evaluating the Ability of Modified Adomian Decomposition Method to Simulate the Instability of Freestanding Carbon Nanotube: Comparison with Conventional Decomposition Method
Ali Koochi and Mohamadreza Abadyan

Abstract:
In recent years, the buckling of freestanding Carbon Nanotube (CNT) in the vicinity of graphite has become of great interest for scientists. In this work, the ability of modified Adomian decomposition methods for modeling the nonlinear instability of cantilever and doubly-supported CNT was investigated. The obtained results were compared with those of conventional decomposition method as well as numerical solutions. The critical value of CNT-graphite attraction at the onset of the instability was computed as the basic parameter for engineering applications. It was found that modified Adomian method is highly reliable for simulating the CNT-graphite interaction. On the other hands, using conventional decomposition method in solving CNT problems might lead to physically incorrect results in some cases. These shortcomings were not observed for modified Adomian series.
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How to cite this article:

Ali Koochi and Mohamadreza Abadyan, 2011. Evaluating the Ability of Modified Adomian Decomposition Method to Simulate the Instability of Freestanding Carbon Nanotube: Comparison with Conventional Decomposition Method. Journal of Applied Sciences, 11: 3421-3428.

DOI: 10.3923/jas.2011.3421.3428

URL: https://scialert.net/abstract/?doi=jas.2011.3421.3428

 
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