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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
Abstract: In a nematic elastomer the deformation of the polymer network chains is coupled to the orientational order of the mesogenic groups. Here we use the neo-classical model for this coupling supplemented by the usual Frank energy to show that the formation of defects in the orientational order may require incompatible strains of the polymer network chains. 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. Incompatible strains are expected to be typical for equilibrium states of inhomogeneous alignment of the mesogens.
Issue Date: 2005-08
Publisher: Department of Theoretical and Applied Mechanics (UIUC)
Series/Report: TAM Reports 1068, (2005)
Genre: Technical Report
Type: Text
Language: English
URI: http://hdl.handle.net/2142/326
ISSN: 0073-5264
Publication Status: published or submitted for publication
Peer Reviewed: is peer reviewed
Date Available in IDEALS: 2007-03-09
Is Version Of: Published as: Eliot Fried and Shaun Sellers. Incompatible strains associated with defects in nematic elastomers. Journal of Chemical Physics, Vol. 124, No. 2, 2006, pp 024908-024911 (4) and may be found at http://link.aip.org/link/?jcp/124/024908 or http://hdl.handle.net/2142/959. DOI: 10.1063/1.2149857. 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.
 

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  • Theoretical and Applied Mechanics (TAM) Technical Reports
    TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.

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