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Engineering materials properties in codimension > 0

Published online by Cambridge University Press:  26 October 2011

Paulo S. Branicio ,
Mark H. Jhon  and
David J. Srolovitz
Paulo S. Branicio
Affiliation:
Institute of High Performance Computing, Singapore 138632, Singapore
Mark H. Jhon
Affiliation:
Institute of High Performance Computing, Singapore 138632, Singapore
David J. Srolovitz*
Affiliation:
Institute of High Performance Computing, Singapore 138632, Singapore
*
a)Address all correspondence to this author. e-mail: [email protected]
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Abstract

When thin nanomaterials spontaneously deform into nonflat geometries (e.g., nanorods into nanohelices, thin sheets into ruffled forms), their properties may change by orders of magnitude. We discuss this phenomenon in terms of a formal mathematical concept: codimension c = D − d, the difference between the dimensionality of space D, and that of the object d. We use several independent examples such as the edge stress of graphene nanoribbons, the elastic moduli of nanowires, and the thermal expansion of a modified bead-chain model to demonstrate how this framework can be used to generically understand some nanomaterial properties and how these properties can be engineered by using mechanical constraints to manipulate the codimension of the corresponding structure.

Keywords

Cnanostructurenanoscale
Type
Articles
Information
Journal of Materials Research , Volume 27 , Issue 3: Focus Issue: Advances in Mechanics of One-Dimensional Micro/Nanomaterials , 14 February 2012 , pp. 619 - 626
Copyright
Copyright © Materials Research Society 2011

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