Abstract
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.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Oseen, W.C.: The theory of liquid crystals. Trans. Faraday Soc. 29 (1933) 883–899
Zocher, H.: The effect of a magnetic field on the nematic state. Trans. Faraday Soc. 29 (1933) 945–957
Frank, F.C.: On the theory of liquid crystals. Discussions Faraday Soc. 25 (1958) 19–28
Ericksen, J.L.: Hydrostatic theory of liquid crystals. Arch. Rat. Mech. Anal. 9 (1962) 371–378
Ericksen, J.L.: Conservation laws for liquid crystals. Trans. Soc. Rheol. 5 (1961) 23–34
Leslie, F.M.: Some constitutive equations for liquid crystals. Arch. Rat. Mech. Anal. 28 (1968) 265–283
de Gennes, P.G.: The physics of liquid crystals. Oxford University Press, London and New York, 1974
Chandrasekhar, S.: Liquid crystals. Cambridge University Press, 1977
Blinov, L. M.: Electro-optical and magneto-optical properties of liquid crystals. John Wiley and Sons, New York, 1983
Stephen, M.J. and Straley, J.P.: Physics of liquid crystals. Rev. Mod. Phys. 46 (1974) 617–704
Ericksen, J.L.: Equilibrium theory of liquid crystals. Adv. Liq. Cryst. 2 (1976) 233–298
Jenkins, J.T.: Flows of nematic liquid crystals. Ann. Rev. Fluid Mech. 10 (1978) 197–219
Leslie, F.M.: Theory of flow phenomena in liquid crystals. Adv. Liq. Cryst. 4 (1979) 1–81
Truesdell, C. and Toupin, R.A.: The classical field theories. Handbuch der Physik, Bd. III/1, (1960) 225–793
Nehring, J. and Saupe, A.: On the elastic theory of uniaxial liquid crystals. J. Chem. Phys. 54 (1971) 337–343
Oldano, C. and Barbero, G.: Possible boundary discontinuities of the tilt angle in nematic liquid crystals. J. Physique Lett. 46 (1985) 451–456
Hinov, H.P.: Comment on the criticism of the one-dimensional solution of theK 13 elastic problem in nematics. Mol. Cryst. Liq. Cryst. 168 (1989) 7–12
Green, A.E. and Rivlin, R.S.: Simple force and stress multipoles. Arch. Rat. Mech. Anal. 16 (1964) 325–353
Green, A.E. and Rivlin, R.S.: Multipolar continuum mechanics. Arch. Rat. Mech. Anal. 17 (1964) 113–147
Hinov, H.P.: On the variation of theK 13 nematic surface-like volume energy and the nematic surface energy of Mada. Mol. Cryst. Liq. Cryst. 148 (1987) 197–224
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Leslie, F.M. Continuum theory for nematic liquid crystals. Continuum Mech. Thermodyn 4, 167–175 (1992). https://doi.org/10.1007/BF01130288
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01130288