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Incompatible strains associated with defects in nematic elastomers

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Title: Incompatible strains associated with defects in nematic elastomers
Author(s): Fried, Eliot; Sellers, Shaun
Subject(s): Nematic elastomer Polymer network chains
Abstract: In a nematic elastomer the deformation of the polymer network chains is coupled to the orientational order of the mesogenic groups. Statistical arguments have derived the so-called neoclassical free energy that models this coupling. Here we show that the neoclassical model supplemented by the usual Frank energy predicts incompatible network strains associated with the formation of standard nematic textures. The incompatibility is measured by the Riemann curvature tensor, which we find to be nonzero for both radial hedgehog defects and escaped disclinations of strength +1 in circular cylinders. Analogous problems for conventional nonlinearly elastic solids do not possess solutions with such incompatibilities. Compatibility in nematic elastomers would require either more complicated nematic textures in elastomers than in conventional polymeric and low molecular weight liquid crystals or a free-energy density more complicated than the neoclassical expression.
Issue Date: 2006
Publisher: American Institute of Physics
Citation Info: The following article appeared in Eliot Fried and Shaun Sellers (2006). Journal of Chemical Physics, v. 124, pp. 024908-024908 and may be found at http://link.aip.org/link/?jcp/124/024908
Genre: Article
Type: Text
Language: English
URI: http://hdl.handle.net/2142/959
DOI: 10.1063/1.2149857
Publication Status: published or submitted for publication
Peer Reviewed: is peer reviewed
Rights Information: Copyright 2006 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.
Date Available in IDEALS: 2007-06-15
 

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