title: Deterministic numerical model for treating the three elastic constants in nematic liquid-crystalline polymers.
abstract: In this paper, a deterministic model, which considers the three Frank elastic constants, is introduced. It is based on a lattice model and a director is used to represent the orientation of the liquid crystals in each cell. A tensor expression of the so-called "texture field" is deduced so that the nematic symmetry is conserved automatically. In the current model, the evolution of the director field can be viewed as a process towards the state of zero elastic torque. The model forms the basis for an improved understanding of the mesoscale structures and rheological phenomena of nematic liquid-crystalline polymers. It has been tested in its ability to reproduce the Fréedericksz transitions, and simulations of thin liquid crystalline polymer films clearly show the effect of unequal elastic constants on the director microstructure evolution.
authors.affiliation: Department of Materials Science and Metallurgy, University of Cambridge, Cambridge CB2 3QZ, United Kingdom.
authors.forename: H
authors.initials: H
authors.lastname: Tu
authors.forename: G
authors.initials: G
authors.lastname: Goldbeck-Wood
authors.forename: A H
authors.initials: AH
authors.lastname: Windle