NDLI: Effects of strong anchoring on the dynamic moduli of heterogeneous nematic polymers

Content Provider	Springer Nature Link
Author	Choate, Eric P. Cui, Zhenlu Forest, M. Gregory
Copyright Year	2008
Abstract	We focus on the linear viscoelastic response of heterogeneous nematic polymers to small amplitude oscillatory shear, paying special attention to the macroscopic influence of strong plate anchoring conditions. The model consists of the Stokes hydrodynamic equations with viscous and nematic stresses, coupled to orientational dynamics and structure driven by the flow gradient, an excluded-volume potential, and a two-constant distortional elasticity potential. We show that the dynamical response simplifies when plate anchoring is either tangential or homeotropic, recovering explicitly solvable Leslie–Ericksen–Frank behavior together with weakly varying order parameters across the plate gap. With these plate conditions, we establish “model consistency” so that all experimental driving conditions (plate-controlled velocity [strain] or shear stress, imposed oscillatory pressure) yield identical dynamic moduli for the same material parameters and anchoring conditions, eliminating the culpability of device influence in scaling behavior. Two physical predictions emerge that imply significant macroscopic elastic and viscous effects controlled by plate anchoring relative to flow geometry: (1) The storage modulus is enhanced by two to three orders of magnitude for homeotropic relative to parallel anchoring, across all frequencies. (2) The loss modulus exhibits enhancement of a factor of two to three for homeotropic over tangential anchoring, restricted to low frequencies. We further deduce a scaling law for the dynamic moduli versus anisotropy of the distortional elasticity potential.
Starting Page	223
Ending Page	236
Page Count	14
File Format	PDF
ISSN	00354511
Journal	Rheologica Acta
Volume Number	47
Issue Number	2
e-ISSN	14351528
Language	English
Publisher	Springer-Verlag
Publisher Date	2008-02-12
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Nematic liquid crystal polymers Linear viscoelasticity Strong anchoring Food Science Soft Matter, Complex Fluids Mechanical Engineering Polymer Sciences Characterization and Evaluation of Materials
Content Type	Text
Resource Type	Article
Subject	Mechanics of Materials Condensed Matter Physics Materials Science

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