Stability Analysis of Circular Nanorings Under Different Loading Behavior by Nonlocal Elasticity Theory

作者：Arefi A; Mirdamadi H R; Salimi M^*

来源：Journal of Computational and Theoretical Nanoscience, 2012, 9(6): 794-801.

DOI：10.1166/jctn.2012.2098

• Buckling
• Circular Ring
• Nonlocal Elasticity Theory
• Lagrange%26apos
• s Multiplier Method
• Mode Shape

In this article, the small-scale effect on buckling analysis of radially compressed nanorings is investigated. The effect of small length scale is taken into account using nonlocal elasticity theory. The principle of virtual displacement is implemented to circular nanorings to derive the governing differential equations which are solved analytically. Inextensibility constraint exerted using Lagrange%26apos;s multiplier method. The effects of nonlocal parameter and load behavior on buckling loads, mode shapes and critical buckling load ratios are investigated. It is shown that the small length scale decreases the buckling load and also nonlocal parameter does not affect the mode shapes. It is also found that by increasing small scale effect, the relative difference between the classical and the nonlocal solutions increases.

• 出版日期2012-6