Size-dependent rigidities of nanosized torsional elements

Shenoy, Vijay B (2002) Size-dependent rigidities of nanosized torsional elements. In: International Journal of Solids and Structures, 39 (15). pp. 4039-4052.

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Abstract

A theory for the prediction of the size dependence of torsional rigidities of nanosized structural elements is developed. It is shown that, to a very good approximation, the torsional rigidity (D) of a nanosized bar differs from the prediction of standard continuum mechanics (D-c) as (D-D-c)/D-c = Ah(0)/a where A is a non-dimensional constant, a is the size scale of the cross-section of the bar and h(0) is a material length equal to the ratio of the surface elastic constant to the bulk elastic constant. The theory developed is compared with direct atomistic calculations ("numerical experiment") of the torsional rigidity bars made of several FCC metals modeled using the embedded atom method. Very good agreement is obtained between theory and simulation. The framework presented here can aid the development of design methodologies for nanoscale structural elements without the need for full scale atomistic simulations.

Item Type:	Journal Article
Publication:	International Journal of Solids and Structures
Publisher:	Elsevier Science
Additional Information:	Copyright of this article belongs to Elsevier Science.
Keywords:	Nanostructures;Elastic properties;Atomistic modeling;Surface energy.
Department/Centre:	Division of Chemical Sciences > Materials Research Centre
Date Deposited:	20 Nov 2009 09:15
Last Modified:	19 Sep 2010 05:01
URI:	http://eprints.iisc.ac.in/id/eprint/18360

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