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Continuum theory for nematic liquid crystals with tensorial order

Sonnet, A.M. and Maffettone, P.L. and Virga, E.G. (2004) Continuum theory for nematic liquid crystals with tensorial order. Journal of Non-Newtonian Fluid Mechanics, 119 (1-3). pp. 51-59. ISSN 03770257

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Abstract

From a variational principle, we derive the equations of motion for nematic liquid crystals described by a second-rank order tensor. The only constitutive ingredients are the densities of the free energy and the dissipation, both subject to appropriate invariance requirements. We show that this theory is sufficiently general to encompass others as special cases. Comparing this theory with other theories also suggests criteria to avoid the proliferation of viscosity coefficients

Item type: Article
ID code: 2194
Keywords: nematic liquid crystals, alignment tensor, continuum theory, Mathematics
Subjects: Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics
Related URLs:
    Depositing user: Strathprints Administrator
    Date Deposited: 06 Jan 2007
    Last modified: 12 Mar 2012 10:37
    URI: http://strathprints.strath.ac.uk/id/eprint/2194

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