Continuum theory for nematic liquid crystals with tensorial order

A.M. Sonnet; P.L. Maffettone; E.G. Virga

doi:10.1016/j.jnnfm.2003.02.001

Continuum theory for nematic liquid crystals with tensorial order

A.M. Sonnet, P.L. Maffettone, E.G. Virga

Mathematics And Statistics

Research output: Contribution to journal › Article

60 Citations (Scopus)

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

Original language	English
Pages (from-to)	51-59
Number of pages	8
Journal	Journal of Non-Newtonian Fluid Mechanics
Volume	119
Issue number	1-3
DOIs	https://doi.org/10.1016/j.jnnfm.2003.02.001
Publication status	Published - 1 May 2004

Keywords

nematic liquid crystals
alignment tensor
continuum theory

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10.1016/j.jnnfm.2003.02.001

http://dx.doi.org/10.1016/j.jnnfm.2003.02.001

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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",

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AU - Sonnet, A.M.

AU - Maffettone, P.L.

AU - Virga, E.G.

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Y1 - 2004/5/1

N2 - 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

AB - 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

KW - nematic liquid crystals

KW - alignment tensor

KW - continuum theory

UR - http://dx.doi.org/10.1016/j.jnnfm.2003.02.001

U2 - 10.1016/j.jnnfm.2003.02.001

DO - 10.1016/j.jnnfm.2003.02.001

M3 - Article

VL - 119

SP - 51

EP - 59

JO - Journal of Non-Newtonian Fluid Mechanics

JF - Journal of Non-Newtonian Fluid Mechanics

SN - 0377-0257

IS - 1-3

ER -