journal article·2013-10

On the acoustic approximation of thermomechanical description of a liquid crystal

V. M. Sadovskii, O. V. Sadovskaya

Physical Mesomechanics· Volume 16· Issue 4
Publisher page

Abstract

Based on dynamic equations of a heterogeneous elastic medium which take into account rotational degrees of freedom of microstructure particles, a simplified mathematical model was constructed to describe the wave motions of a nematic liquid crystal under weak mechanical and temperature perturbations. It is shown that in the medium under plane deformation, the tangential stress obeys the Klein-Gordon equation of oscillatory particle rotation. Consideration is given to the possibility of initiating rotational waves in a nematic liquid crystal, which change its optical properties, due to heat sources acting at its boundary.
Source: openalex_inverted_index · Quality: baseline

Research context

OpenAlex topics: Liquid Crystal Research Advancements · Material Dynamics and Properties · Optical Polarization and Ellipsometry

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (17)

Show source-provided references
1. Cosserat, E. and Cosserat, F., Théorie des Corps Déformables. Chwolson’s Traité Physique, Paris: Librairie Scientifique A. Hermann et Fils, 1909, pp. 953–1173.
2. Ericksen, J.L., Conservation Laws for Liquid Crystals, Trans. Soc. Rheol., 1961, vol. 5, pp. 23–34.10.1122/1.548883 ↗
3. Aero, E.L., Bulygin, A.N., and Kuvshinskii, E.V., Asymmetric Hydromechanics, PMM, 1965, vol. 29, no. 2, pp. 297–308.
4. Aero, E.L. and Bulygin, A.N., Equations of Motion of Nematic Liquid Crystals, PMM, 1971, vol. 35, no. 5, pp. 879–891.
5. Aero, E.L. and Bulygin, A.N., Kinematics of Nematic Liquid Crystals, Prikl. Mekh., 1972, vol. 8, no. 3, pp. 97105.
6. Leislie, F.M., Some Constitutive Equations for Liquid Crystals, Arch. Ration. Mech. Anal., 1968, vol. 28, pp. 265–283.10.1007/BF00251810 ↗
7. Kalugin, A.G., Mechanics of Anisotropic Liquids, Moscow: Izd-vo CPI MMF MGU, 2005.
8. Kondaurov, V.l., On Nonlinear Dynamics Equations of an Elastic Micropolar Medium, PMM, 1984, vol. 48, no. 3, pp. 404–413.
9. Sadovskii, V.M., Thermodynamically Self-Consistent System of Conservation Laws of the Theory of Asymmetric Elasticity, Dalnevost. Matem. Zurn., 2011, vol. 11, no. 2, pp. 201–212.
10. Godunov, S.K. and Mikhailova, T.Yu., Rotation Group Representations and Spherical Functions, Novosibirsk: Nauchnaya Kniga, 1998.
11. Sadovskaya, O. and Sadovskii, V., Mathematical Modeling in Mechanics of Granular Materials, Advanced Structured Materials, Heidelberg: Springer, 2012, vol. 21.
12. Sutormin, V.S., Krakhalev, M.N., and Prischepa, O.O., Temperature-Induced Changes of a Director in Droplets of PVP-Dispersed Nematics, Zurn. SFU. Matem. Fix., 2009, vol. 2, no. 3, pp. 352–359.
13. Demenev, E.I., Pozdnyakov, G.A., and Trashkeev, S.I., Nonlinear Orientation Interaction of Nematic Liquid Crystal with Thermal Flow, Pisma v ZhTF, 2009, vol. 35, no. 14, pp. 76–83.
14. Trashkeev, S.I. and Britvin, A.V., Thermal-Oriented Effect in a Nematic Liquid Crystal, ZhTF, 2011, vol. 81, no. 6, pp. 1–7.
15. Panin, V.E., Fomin, V.M., and Titov, V.M., Physical Principles of Mesomechanics of Surface Layers and Internal Interfaces in a Solid under Deformation, Phys. Meso-mech., 2003, vol. 6, no. 3, pp. 5–13.
16. Panin, V.E., Panin, A.V, and Moiseenko, D.D., Physical Mesomechanics of a Deformed Solid as a Multilevel System. II. Chessboard-Like Mesoeffect of the Interface in Heterogeneous Media in External Fields, Phys. Mesomech, 2007, vol. 10, no. 1–2, pp. 5–14.10.1016/j.physme.2007.06.001 ↗
17. Panin, L.E. and Panin, V.E., “Chessboard” Effect and Mass Transfer in Interfacial Media of Organic and Inorganic Nature, Phys. Mesomech., 2008, vol. 11, no. 1–2, pp. 5–18.10.1016/j.physme.2008.03.001 ↗