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Title: Equations of the dynamics of a liquid crystal under the influence of weak mechanical and thermal perturbations

The paper is devoted to the construction of the simplified mathematical model of thermomechanical behavior of a liquid crystal under the influence of weak mechanical and thermal perturbations. This model is based on the nonlinear equations of a micropolar viscoelastic medium with rotating particles. To describe small strains and finite rotations of molecules, the hypothesis of the dependence of potential energy on the volume change, on the angle of relative rotation and on the entropy is used in the framework of the method of internal thermodynamic parameters. The heat conduction process is described taking into account the anisotropy of a material due to the difference in coefficients of thermal conductivity along the axis of orientation of the particles and in the transverse direction. Separate equation for the tangential stress is obtained from the simplified model, which is useful for the analysis of the recently discussed issues of orientational thermoelasticity and resonant excitation of liquid crystals.
Authors:
 [1]
  1. Institute of Computational Modeling, SB RAS, Akademgorodok 50/44, 660036 Krasnoyarsk (Russian Federation)
Publication Date:
OSTI Identifier:
22390607
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1629; Journal Issue: 1; Conference: AMiTaNS 14: 6. International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, Albena (Bulgaria), 26 Jun - 1 Jul 2014; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANISOTROPY; ENTROPY; EXCITATION; LIQUID CRYSTALS; MATHEMATICAL MODELS; MOLECULES; NONLINEAR PROBLEMS; ORIENTATION; PERTURBATION THEORY; POTENTIAL ENERGY; ROTATION; STRAINS; STRESSES; THERMAL CONDUCTION; THERMAL CONDUCTIVITY; THERMOELASTICITY