Buckling Analysis of Carbon Nanotube Based on Nonlocal Timoshenko Beam Theory using Differential Transform Method
IR@C-MMACS: CSIR-Centre for Mathematical Modelling and Computer Simulation, Bangalore
View Archive Info| Field | Value | |
| Title |
Buckling Analysis of Carbon Nanotube Based on
Nonlocal Timoshenko Beam Theory using Differential
Transform Method
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| Creator |
V, Senthilkumar
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| Subject |
Nanomechanics
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| Description |
The small-scale effect on critical buckling load has been investigated for single wall
carbon nanotubes (SWCNT) with shear deformation theory using differential
transformation method (DTM). The present buckling analysis considers the nonlocal
continuum elasticity and Timoshenko beam theory. The present semi-analytical
method in evaluating the nonlocal critical buckling loads is faster and convenient as
compared to its peers. Convergence study is carried out to determine the number of
terms to be employed in the DTM computation. The present computed critical
buckling loads are in excellent agreement with the exact solutions reported in the
literature. Further, effect of (i) nonlocal parameter (ii) various boundary condition (iii)
size of the carbon nanotube and (iv) Timoshenko beam theory on the critical buckling
load are studied. It is observed that nonlocal parameters and nonlocal Timoshenko
beam theory have significant influence on the critical buckling loads of nano size
SWCNTs.
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| Publisher |
American Scientific Publishers
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| Date |
2010-12-01
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| Type |
Article
PeerReviewed |
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| Format |
application/pdf
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| Identifier |
http://cir.cmmacs.ernet.in/87/1/Buckling%20Analysis%20of%20Carbon%20Nanotube%20Based%20on%20Nonlocal%20Timoshenko%20Beam%20Theory%20Using%20Differential%20Transform%20Method.pdf
V, Senthilkumar (2010) Buckling Analysis of Carbon Nanotube Based on Nonlocal Timoshenko Beam Theory using Differential Transform Method. Advanced Science Letters, 3 (4). pp. 415-421. ISSN 1936-6612 (Print): EISSN: 1936-7317 (Online) |
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| Relation |
http://www.aspbs.com/
http://cir.cmmacs.ernet.in/87/ |
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