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Effect of surface elasticity on extensional and torsional stiffnesses of isotropic circular nanorods

Ajeet Kumar's picture

We present a continuum formulation to obtain simple expressions demonstrating the effects of surface residual stress and surface elastic constants on extensional and torsional stiffnesses of isotropic circular nanorods. Unlike the case of rectangular nanorods, we show that the stiffnesses of circular nanorods also depend on surface residual stress components. This is attributed to non-zero surface curvature inherent in circular nanorods. We further analyze their asymptotic limits in the limit of the nanorod's radius approaching both zero and infinity which correspond to surface dominated and bulk dominated regimes respectively. Finally, we use the recently proposed Helical Cauchy-Born rule and perform molecular statics calculations to obtain axial force, twisting moment and stiffnesses of the tungsten nanorod. The results from molecular statics calculations match most accurately with our formulae when compared to existing formulae by others.  The article will appear soon in Mathematics and Mechanics of Solids and can also be accessed at the following link: https://www.researchgate.net/publication/322015816_Effect_of_surface_ela...

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