Continuum theory for nematic liquid crystals with tensorial order

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

Research output: Contribution to journal › Article

55 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
LanguageEnglish
Pages51-59
Number of pages8
JournalJournal of Non-Newtonian Fluid Mechanics
Volume119
Issue number1-3
DOIs
Publication statusPublished - 1 May 2004

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Nematic liquid crystals
Nematic Liquid Crystal
variational principles
Invariance
ingredients
Free energy
Equations of motion
Tensors
invariance
equations of motion
Continuum
dissipation
energy dissipation
free energy
liquid crystals
tensors
Viscosity
viscosity
continuums
requirements

Keywords

  • nematic liquid crystals
  • alignment tensor
  • continuum theory

Cite this

Sonnet, A.M. ; Maffettone, P.L. ; Virga, E.G. / Continuum theory for nematic liquid crystals with tensorial order. In: Journal of Non-Newtonian Fluid Mechanics. 2004 ; Vol. 119, No. 1-3. pp. 51-59.
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Sonnet, AM, Maffettone, PL & Virga, EG 2004, 'Continuum theory for nematic liquid crystals with tensorial order' Journal of Non-Newtonian Fluid Mechanics, vol. 119, no. 1-3, pp. 51-59. https://doi.org/10.1016/j.jnnfm.2003.02.001

Continuum theory for nematic liquid crystals with tensorial order. / Sonnet, A.M.; Maffettone, P.L.; Virga, E.G.

In: Journal of Non-Newtonian Fluid Mechanics, Vol. 119, No. 1-3, 01.05.2004, p. 51-59.

Research output: Contribution to journal › Article

TY - JOUR

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AU - Sonnet, A.M.

AU - Maffettone, P.L.

AU - Virga, E.G.

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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

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KW - alignment tensor

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Sonnet AM, Maffettone PL, Virga EG. Continuum theory for nematic liquid crystals with tensorial order. Journal of Non-Newtonian Fluid Mechanics. 2004 May 1;119(1-3):51-59. https://doi.org/10.1016/j.jnnfm.2003.02.001

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