Сибирский федеральный университет

Тип публикации: доклад, тезисы доклада, статья из сборника материалов конференций

Конференция: International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences (AMiTaNS); Albena, BULGARIA; Albena, BULGARIA

Год издания: 2014

Идентификатор DOI: 10.1063/1.4902287

Ключевые слова: dynamics, micropolar medium, nematic liquid crystal, thermal conductivity, viscoelasticity, waves of rotational motion

Аннотация: 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. © 2014 AIP Publishing LLC.

Журнал: AIP Conference Proceedings

Выпуск журнала: 1629

Номера страниц: 311-318

Издатель: American Institute of Physics Inc.

• Sadovskii V.M. (Institute of Computational Modeling, SB RAS)

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