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Normal-stress differences and the detection of disclinations in nematic elastomers

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Title: Normal-stress differences and the detection of disclinations in nematic elastomers
Author(s): Fried, Eliot; Todres, Russell E.
Subject(s): constitutive theory smart materials experimental fluid mechanics granular materials particulate flows phase transitions biological mechanics
Abstract: We use a continuum model to investigate the isochoric radial expansion of a right circular cylindrical specimen composed of a nematic elastomer that is cross-linked in a uniaxial state and then annealed. Numerical solutions show that, above a certain radial expansion, the material has a definitive energetic preference for a state involving a disclination of strength +1 along the cylinder axis. Surrounding such a disclination is a core with radial dimension on the order of 10^-2 µm, which coincides with observations in conventional liquid-crystal melts. Examination of the normal-stress differences shows that the first of these differences depends non-monotonically on the extent of radial expansion and possesses a local minimum at the point where a disclination becomes energetically preferred. This suggests a practical experimental method for testing the predictions of our model.
Issue Date: 2002-06
Publisher: Department of Theoretical and Applied Mechanics (UIUC)
Series/Report: TAM Reports 1004
Genre: Technical ReportArticle
Type: Text
Language: English
URI: http://hdl.handle.net/2142/272
ISSN: 0073-5264
Publication Status: published or submitted for publication
Peer Reviewed: is peer reviewed
Date Available in IDEALS: 2007-03-08
Is Version Of: Published as: Eliot Fried and Russell E. Todres. Normal-stress differences and the detection of disclinations in nematic elastomers. Journal of Polymer Science B: Polymer Physics, Vol. 40, No.18, 2002, pp. 2098-2106. DOI: 10.1002/polb.10257. Copyright 2002 John Wiley and Sons, Ltd
 

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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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