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The totality of soft-states in a neo-classical nematic elastomer

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Title: The totality of soft-states in a neo-classical nematic elastomer
Author(s): Carlson, Donald E.; Fried, Eliot; Sellers, Shaun
Subject(s): nematic elastomers elasticity
Abstract: The remarkable ability of nematic elastomers to exist in multiple stable equilibrium configurations in the absence of force and energy cost is known as soft elasticity. Here, we determine all of the soft states that are possible in two particular classes of nematic elastomers: the neo-classical nematic elastomers, which have received considerable recent attention; and a natural theoretical generalization, which we call the Mooney nematic elastomers. For both of these classes, the soft states are minimizers of the free energy. Our starting point is to develop a nonlinear continuum theory for nematic elastomers, the constitutive framework of which includes the special classes noted above. This theory is based on two distinct force balances—one arising from the macroscopic deformation and the other from the nematically-induced distortion of the polymer molecules—and allows for coexistent isotropic, uniaxial, and biaxial phases. These balances are supplemented by a principle of dissipation imbalance, a principle that in conjunction with invariance requirements is used to obtain restrictions on constitutive equations.
Issue Date: 2002-03
Publisher: Department of Theoretical and Applied Mechanics (UIUC)Springer
Series/Report: TAM Reports 1003
Genre: Technical ReportArticle
Type: Text
Language: English
URI: http://hdl.handle.net/2142/271
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: Donald E. Carlson, Eliot Fried, and Shaun Sellers. Force-Free States, Relative Strain, and Soft Elasticity in Nematic Elastomers. Journal of Elasticity, Vol. 69, No.1-3, 2004, pp. 161-180. DOI: 10.1023/A:1027377904576. Copyright 2004 Springer.
 

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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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