Continuum Theory of Cholesteric Liquid Crystals
Based on the theory of micropolar viscoelasticity a continuum theory of cholesteric liquid crystals is presented. The balance laws of motion are given and a constitutive theory is derived and restricted by the second law of thermodynamics. Material symmetry restrictions are obtained by means of physical considerations. The theory includes thermomechanical effects of dissipation. The axis of ellipse and coefficient of optical activity are defined to characterize the helical structure of cholesteric liquid crystals. Analytically it is shown that in general the coefficient of optical activity depends on the temperature variations, deformation and mechanical stresses. Several special cases of practical importance are studied in detail. A coupling of longitudinal and twist waves along the axis of helix is investigated theoretically and corresponding experiments are suggested.
KeywordsLiquid Crystal Continuum Theory Optical Activity Cholesteric Liquid Crystal Undeformed State
Unable to display preview. Download preview PDF.
- 2.G. Friedel, Ann. Physique 19, 273 (1922).Google Scholar
- 5.R. S. Porter and J. F. Johnson, Rheology IV (New York): Academic Press, 1967, edited by F. R. Eirich), p. 317.Google Scholar
- 11.O. S. Selawry, H. S. Selawry, and J. F. Holland, Liquid Crystals (New York: Gordon and Breach, 1966, edited by Brown, Dienes, and Labes), p. 175.Google Scholar
- 16.A. C. Eringen, ¿. Math. & Mech., 15, 909 (1966).Google Scholar
- 17.A. C. Eringen, ¿. Math. & Mech.16, 1 (1966).Google Scholar
- 18.A. C. Eringen, Foundations of Micropolar Thermoelasticity, International Center for Mechanical Sciences, Udine, Italy, 1970.Google Scholar
- 20.A. C. Eringen, Mechanics of Continua (New York: John Wiley & Sons, 1967).Google Scholar
- 22.A. C. Eringen, Proceedings of the Eleventh International Congress of the Eleventh International Congress of Applied Mechanics (held in 1964, Munich, Germany), edited by H. Gortler, Springer-Verlag (1966) 131–138.Google Scholar