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A rod theory for liquid crystalline elastomers

Goriely, Alain, Moulton, Derek E. and Mihai, L. Angela ORCID: 2023. A rod theory for liquid crystalline elastomers. Journal of Elasticity 153 , pp. 509-532. 10.1007/s10659-021-09875-z

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We derive a general constitutive model for nematic liquid crystalline rods. Our approach consists in reducing the three-dimensional strain-energy density of a nematic cylindrical structure to a one-dimensional energy of a nematic rod. The reduced one-dimensional model connects directly the optothermal stimulation to the generation of intrinsic curvature, extension, torsion, and twist, and is applicable to a wide range of liquid crystalline rods subject to external stimuli and mechanical loads. For illustration, we obtain the shape of a clamped rod under uniform illumination, and compute the instability of an illuminated rod under tensile load. This general framework can be used to determine the shape and instabilities of nematic rods with different cross-sections or different alignment of the nematic field.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Additional Information: This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
Publisher: Springer Verlag (Germany)
ISSN: 0374-3535
Date of First Compliant Deposit: 19 December 2021
Date of Acceptance: 19 December 2021
Last Modified: 20 Jul 2023 16:16

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