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Some Remarks on Applying Homogenization Theory to Modeling the Constitutive Response of Carbon Nanotubes

Department of Mathematical Sciences, Northern Illinois University

^* To whom correspondence should be addressed. E-mail: jared{at}math.niu.edu.

	Abstract

An approach is described for constructing (using molecular dynamics simulations at the atomic scale) a mathematical model for the constitutive behavior of a carbon nanotube. The method is based on applying homogenization theory to a hexagonal array of carbon atoms with a specific chirality vector. The molecular dynamics simulations generate a set of periodic, rapidly varying, elastic constants for the nanotube. An example is presented to illustrate the technique for a specific array on a nanotube surface.

First published on October 1, 2009
Mathematics and Mechanics of Solids 2009, doi:10.1177/1081286509349094


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