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Point defects in nematic gels: The case for hedgehogs

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Title: Point defects in nematic gels: The case for hedgehogs
Author(s): Dolbow, John E.; Fried, Eliot; Shen, Amy Q.
Subject(s): compressible nemetic gels radially symmetric point defects
Abstract: We consider the question of whether compressible nematic gels are capable of sustaining hedgehogs (radially symmetric point defects). As a basis for this work, we rely on a free-energy density that extends the conventional molecular-statistically derived expression for a nematic elastomer to account for volumetric contributions. We consider the special case of a gel cross-linked in a state where the mesogens are randomly aligned and study the behavior of a spherical specimen the boundary of which is subjected to a uniform radial displacement or traction. For simplicity, we allow only for distortions in which the molecular agglomeration is uniaxial with constant anisotropy and, thus, is determined by a unit orientation field. Even for relatively mild displacements of the boundary or applied tractions, the material shows an energetic preference for states involving a hedgehog with locus at the center of the specimen.
Issue Date: 2002-02
Publisher: Department of Theoretical and Applied Mechanics (UIUC)
Series/Report: TAM Reports 1001
Genre: Technical ReportArticle
Type: Text
Language: English
URI: http://hdl.handle.net/2142/270
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: John E. Dolbow, Eliot Fried, and Amy Q. Shen. Point defects in nematic gels: The case for hedgehogs. Archive for Rational Mechanics and Analysis, Vol. 177, No. 1, 2005, pp. 21-51. DOI: 10.1007/s00205-005-0359-4. Copyright 2005 Springer Verlag.
 

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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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