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Biaxial disclinated states in nematic elastomers

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Title: Biaxial disclinated states in nematic elastomers
Author(s): Fried, Eliot; Korchagin, Vladimir A.; Todres, Russell E.
Subject(s): experimental fluid mechanics microfluidics multiphase flows particulate flows constitutive theory smart materials granular materials
Abstract: We use a continuum model to investigate the isochoric axial contraction and expansion of a right circular cylindrical specimen composed of a nematic elastomer that is cross-linked in a uniaxial state and then annealed. We build on previous work by relaxing the constraint that the molecular conformation be spherical or uniaxial, allowing instead for biaxiality. The material exhibits an energetic preference for states involving a disclination of strength +1 along the cylinder axis surrounded by a region in which the conformation of the polymer chains is indeed biaxial. We show that such states represent minimizers of the total free-energy. Also, the reactive pressure necessary to enforce the constraint of material incompressibility within the disclination core is found to be reduced by an order of magnitude when the conformation is biaxial rather than uniaxial. A bifurcation analysis is used to analytically determine the thresholds of axial expansion and contraction at which the material prefers a disclinated state. These thresholds are found to be consistent with numerical predictions. Finally, the stability of the solutions for the studied parameters is also investigated.
Issue Date: 2003-07
Publisher: Department of Theoretical and Applied Mechanics (UIUC)
Series/Report: TAM Reports 1029
Genre: Technical ReportArticle
Type: Text
Language: English
URI: http://hdl.handle.net/2142/296
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, Vladimir Korchagin, and Russell Todres (2003). Biaxial disclinated states in nematic elastomers. Journal of Chemical Physics, v 119, n 24. p 13170-13179. DOI: 10.1063/1.1622374 and available at http://link.aip.org/link/?jcp/119/13170 or http://hdl.handle.net/2142/699. Copyright 2003 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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