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Finite-element modeling of liquid-crystal hydrodynamics with a variable degree of order

James, R; Willman, E; Fernandez, FA; Day, SE; (2006) Finite-element modeling of liquid-crystal hydrodynamics with a variable degree of order. IEEE T ELECTRON DEV , 53 (7) 1575 - 1582. 10.1109/TED.2006.876039. Green open access

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Abstract

A finite-element model of liquid-crystal hydrodynamics based on the Qian and Sheng formulation has been developed. This formulation is a generalization of the Ericksen-Leslie theory to include variations in the order parameter, allowing for a proper description of disclinations. The present implementation is well suited to treat properly the various length scales necessary to model large regions yet resolve the rapid variations in the order parameter in proximity to disclinations.

Type: Article
Title: Finite-element modeling of liquid-crystal hydrodynamics with a variable degree of order
Open access status: An open access version is available from UCL Discovery
DOI: 10.1109/TED.2006.876039
Keywords: finite elements, liquid-crystal (LC) modeling, variable order parameter, CORE STRUCTURE, MINIMIZATION, EQUATIONS, DIRECTOR, DEFECTS, TENSOR, FLOW, CELL
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Electronic and Electrical Eng
URI: https://discovery.ucl.ac.uk/id/eprint/5238
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