Volume 15, Issue 7 (9-2015)                   Modares Mechanical Engineering 2015, 15(7): 385-391 | Back to browse issues page

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Arefi A, Nahvi H. Investigation of small scale effect on buckling of nanorings. Modares Mechanical Engineering 2015; 15 (7) :385-391
URL: http://mme.modares.ac.ir/article-15-11578-en.html
Abstract:   (4207 Views)
Nanotechnology has great potential applications in many fields such as chemistry, physics, material science, etc. In the recent years, due to the extraordinary properties of nanostructures, they are used in a wide range of nanodevices such as nanosensors, nanoactuators and nanocomposites. The effect of size on mechanical behavior of nanostructures whose size is comparable with molecule distances is important. Considering that classical continuum models are free scale and cannot capture the size effects, nonlocal continuum models are used for the analysis of mechanical properties of nanostructures. The nonlocal elasticity theory assumes that the stress at a reference point in the body depends not only on strain at that specific point, but also it depends on the strain at all other points. So, this theory contains long range interaction between atoms and internal scale length. This theory is capable to predict behavior of nanostructures without solving complicated equations. In the present work, the effect of considering small scale on the buckling of nanorings is studied. Governing equations are derived based on the nonlocal elasticity theory using the virtual displacement method and Hamilton's principle. Shear effect is achieved by Timoshenko beam theory. The governing equations are solved analytically. The effects of nonlocal parameter, radius, radius to thickness ratio and buckling mode number on the buckling loads of the nanorings are investigated.
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Article Type: Research Article | Subject: Micro & Nano Systems
Received: 2015/02/18 | Accepted: 2015/04/28 | Published: 2015/06/20

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