Postbuckling behaviors of nanorods including the effects of nonlocal elasticity theory and surface stress

Journal Article · Sat Dec 28 04:00:00 EST 2013 · Journal of Applied Physics

DOI:https://doi.org/10.1063/1.4829896· OSTI ID:22267777

Thongyothee, Chawis; Chucheepsakul, Somchai ^[1]

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1. Department of Civil Engineering, Faculty of Engineering, King Mongkut's University of Technology Thonburi, Bangkok 10140 (Thailand)

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.

• OSTI ID: 22267777
• Journal Information: Journal of Applied Physics, Journal Name: Journal of Applied Physics Journal Issue: 24 Vol. 114; ISSN JAPIAU; ISSN 0021-8979
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
77 NANOSCIENCE AND NANOTECHNOLOGY
BEAMS
CONFIGURATION
DEFORMATION
DIFFERENTIAL EQUATIONS
ELASTICITY
EQUILIBRIUM
NANOSTRUCTURES
OPTIMIZATION
STRESSES