Postbuckling behaviors of nanorods including the effects of nonlocal elasticity theory and surface stress
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Author list: Thongyothee C., Chucheepsakul S.
Publisher: American Institute of Physics
Publication year: 2013
Journal: Journal of Applied Physics (0021-8979)
Volume number: 114
Issue number: 24
ISSN: 0021-8979
eISSN: 1089-7550
Languages: English-Great Britain (EN-GB)
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Abstract
This paper is concerned with postbuckling behaviors of nanorods subjected to an end concentrated load. One end of the nanorod is clamped while the other end is fixed to a support that can slide in the slot. The governing equation is developed from static equilibrium and geometrical conditions by using the exact curvature corresponding to the elastica theory. The nonlocal elasticity, the effect of surface stress, and their combined effects are taken into account in Euler-Bernoulli beam theory. Differential equations in this problem can be solved numerically by using the shooting-optimization technique for the postbuckling loads and the buckled configurations. The results show that nanorods with the nonlocal elasticity effect undergo increasingly large deformation while the effect of surface stress in combination with nonlocal elasticity decreases the deflection of nanorods under the same postbuckling load. ฉ 2013 AIP Publishing LLC.
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