Transient rheological responses in sheared biaxial liquid crystals |
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Authors: | Sarthok Sircar Qi Wang |
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Institution: | (1) Department of Mathematics, University of Utah, Salt Lake City, UT 84112-0090, USA;(2) Department of Mathematics and NanoCenter at USC, University of South Carolina, Columbia, SC 29208, USA; |
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Abstract: | We study the rheological response of monodomain ellipsoidal biaxial liquid crystal polymers (BLCP) as well as bent-core or
V-shaped liquid crystal polymers (VLCP) subject to steady and time-dependent small amplitude oscillatory shear in selected
regions of the model as well as flow parameter space. We adopt the two newly developed hydrodynamical kinetic theories for
ellipsoidal BLCPs and VLCPs, respectively (Sircar and Wang, PRE 78:061702, 2008, J Rheol 53:819–858, 2009; Sircar et al., Comm Math Sci (in press), 2010), in which a generalized Straley’s potential is used to represent the pairwise mean-field interaction of the mesoscopic system
in biaxial phases. Transient shear stresses and normal stress differences corresponding to steady and small amplitude oscillatory
shear are investigated; their variations with respect to the strength of the intermolecular potential, types of biaxial interaction,
and changes in the aspect ratios for ellipsoidal BLCPs and the bent angle for VLCPs are explored. |
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