Continuum theory for nematic liquid crystals

@article{Leslie1992ContinuumTF,
  title={Continuum theory for nematic liquid crystals},
  author={Frank M. Leslie},
  journal={Continuum Mechanics and Thermodynamics},
  year={1992},
  volume={4},
  pages={167-175}
}
  • F. M. Leslie
  • Published 1 September 1992
  • Engineering
  • Continuum Mechanics and Thermodynamics
This paper presents a formulation of continuum theory for nematic liquid crystals based upon the balance laws for linear and angular momentum, that derives directly expressions for stress and couple stress in these transversely isotropic liquids. This approach therefore avoids the introduction of generalised forces or torques associated with the director describing the axis of transverse isotropy. 
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References

SHOWING 1-10 OF 19 REFERENCES
On the Elastic Theory of Uniaxial Liquid Crystals
Simple derivations of the elastic theory of liquid crystals with uniaxial molecular order are given using a molecular Cauchy‐like approach and a more general phenomenological approach. In a…
Possible boundary discontinuities of the tilt angle in nematic liquid crystals
The boundary energy term, introduced by Dubois-Violette and Parodi, which depends on the first derivatives of the nematic liquid crystal director, is considered. Il is shown that if it is written as…
Flows of Nematic Liquid Crystals
The first liquid crystal was discovered about a century ago by Reinitzer (1888), who observed that the organic crystal cholesteryl benzoate melted at a temperature of 145°C yielding a turbid fluid…
Multipolar continuum mechanics
A general theory of multipolar displacement and velocity fields with corresponding multipolar body and surface forces and multipolar stresses is developed using an energy principle, an entropy…
Comment on the Criticism of the One-Dimensional Solution of the K13 Elastic Problem in Nematics
Abstract On the basis of a simple one-dimensional theoretical analysis made in the frame of the Euler-Lagrange formalism it is shown that the K13 elastic problem is a purely nonlinear elastic…
The physics of liquid crystals
Part 1 Liquid crystals - main types and properties: introduction - what is a liquid crystal? the building blocks nematics and cholesterics smectics columnar phases more on long-, quasi-long and…
Theory of Flow Phenomena in Liquid Crystals
Some constitutive equations for liquid crystals
Simple force and stress multipoles
E. & F. Cosserat (1909) developed a theory in which the mechanical interaction between portions of a body across a surface in it is considered to consist not only of forces distributed over the…
On the Variation of the K13 Nematic Surface-Like Volume Energy and the Nematic Surface Energy of Mada
Abstract Two possible ways of the one-dimensional variation of the K13 nematic surface-like volume energy are discussed. The first way of variation when the deformation angle θ and its derivative θ’…
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