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Zhenlu Cui

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Proceedings Article | 21 October 2009 Paper

Oscillatory shear rheology of chiral liquid crystal polymers

Zhenlu Cui, Qi Wang, Jianbing Su

Proceedings Volume 7493, 74933F (2009) https://doi.org/10.1117/12.838580

KEYWORDS: Liquid crystals, Erbium, Polymers, Mathematics, Distortion, Systems modeling, Molecules, Smart materials, Nanotechnology, Current controlled current source

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We employ a hydrodynamic theory for chiral liquid crystal polymers (CLCPs) to investigate the linear viscoelastic response of CLCPs to small amplitude oscillatory permeation shear flow, when the helix is oriented along the velocity direction and the orientation distortion retain the original planar structure. To predict the linear viscoelasticity, we model the system with Stokes hydrodynamic equations with viscous and nematic as well as cholesteric stresses coupled with orientational dynamics driven by the flow. The key findings are the following: in low frequency limit, both the loss modulus (G") and storage modulus (Gⁱ) exhibit a classical frequency ω dependence (G" ∝ ω, Gⁱ ∝ ω² ) but their magnitudes are of order O(q/Er^1/2 ), where 2π/q defines the pitch of the chiral liquid crystal and Er is the Ericksen number. In high frequency limit, Gi = O(q² /Er) is independent of ω while Gⁱ = O(1)ω is independent of q and Er.

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