Biaxial disclinated states in nematic elastomers

Fried, Eliot; Korchagin, Vladimir A.; Todres, Russell E.

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https://hdl.handle.net/2142/699 Copy

Description

Title

Biaxial disclinated states in nematic elastomers

Author(s)

• Fried, Eliot
• Korchagin, Vladimir A.
• Todres, Russell E.

Issue Date

2003-12-22

Keyword(s)

• Elastomers
• Free energy

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 11 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.

Publisher

American Institute of Physics

Type of Resource

text

Language

en

Permalink

http://hdl.handle.net/2142/699

DOI

https://doi.org/10.1063/1.1622374

Has Version(s)

Previously released as TAM Report 1029. http://hdl.handle.net/2142/296.

Copyright and License Information

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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