Micropolar Theory of Liquid Crystals
A unified, nonlinear, hydrodynamic theory of liquid crystals is presented. The theory makes use of the balance laws of micropolar continuum mechanics. New strain and rate measures appropriate to liquid crystals and suspensions are introduced. The nonlinear constitutive equations are obtained for the nematic and cholesteric liquid crystals employing these measures and the micro-inertia tensor. The thermodynamic restrictions are studied in detail. The relation of the theory to the director theory is established. The solution is given for the shear flow of nematic liquids in a channel.
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- Oseen, C.W. [ 1929 ]: Die anisotropen Flüssigkeiten. Tatsachen und Theorien, Berlin.Google Scholar
- Anzelius, A. [ 1931 ] Arssker, Mat. Ocb. Natl., 1.Google Scholar
- Ericksen, J.L. [ 1962 ] Arch. Ration. Mech. Anal. 9, 371–378.Google Scholar
- Ericksen, J.L. [ 1969 ] Molecular Crystals and Liquid Crystals, 7, 153–164.Google Scholar
- Martin, P.C., D.S. Pershan and J. Swift [ 1970 ]. Phys. Review 25, 844 – 848.Google Scholar
- Aero, E.L. and A.N. Bulygin [ 1970 ] Ikv Akad. Nauk SSR, MZLG, 3.Google Scholar
- Aero, E.L. and A.N. Bulygin [ 1971 ] PMM, 35, 879–891.Google Scholar
- Eringen, A.C. and J.D. Lee [ 1973 ] Liquid Crystals and Ordered Fluids 2, 315–330, Plenum Publishing Co.Google Scholar
- P.G. de Gennes [ 1974 ] The Physics of Liquid Crystals, Clarendon Press, Oxford.Google Scholar
- Eringen, A.C. [ 1964a ] Proc. 11th Intern. Congress of Appl. Mech. Munich, Germany.Google Scholar
- Lee, J.D. and A.C. Eringen [ 1973 ] Liquid Crystals and Ordered Fluids 2, 315–370, Plenum Publishing Co.Google Scholar
- Eringen, A.C. and C.B. Kafadar [ 1976 ] Continuum Physics Vol. 4 (edit. A.C. Eringen) Academic Press, New York.Google Scholar
- Eringen, A.C. [ 1966 ] J. Math. and Mechanics 16, 1–18.Google Scholar