Introduction to the Elastic Continuum Theory of Liquid Crystals

1975 ◽  
pp. 103-127 ◽  
Author(s):  
Ping Sheng
Materials ◽  
2019 ◽  
Vol 12 (24) ◽  
pp. 4031 ◽  
Author(s):  
Cirtoaje ◽  
Petrescu

This article aims to study the impact of carbon nanotube dispersions in liquid crystals. A theoretical model for the system’s dynamics is presented, considering the elastic continuum theory and a planar alignment of liquid crystal molecules on the nanotube’s surface. Experimental calculation of the relaxation times in the magnetic field was made for two cases: when the field was switched on (τon), and when it was switched off (τoff). The results indicate an increase of the relaxation time by about 25% when the magnetic field was switched off, and a smaller increase (about 10%) when the field was switched on, where both were in good agreement with the theoretical values.


Crystals ◽  
2020 ◽  
Vol 10 (7) ◽  
pp. 567
Author(s):  
Cristina Cirtoaje ◽  
Gabriela Iacobescu ◽  
Emil Petrescu

The influence of the anchoring forces on the Freedericksz transition in twisted ferronematics simultaneously subjected to magnetic and laser fields is studied in this work. Using the elastic continuum theory and Gouchen model for molecular anchoring on the cell support plates, the critical field and the saturation field were calculated as a function of the laser intensity and anchoring strength for two types of ferronematics based on 5CB and CCN-37 liquid crystals.


2007 ◽  
Vol 16 (02) ◽  
pp. 199-206 ◽  
Author(s):  
LUIGIA PEZZI ◽  
ALESSANDRO VELTRI ◽  
ANTONIO DE LUCA ◽  
CESARE UMETON

The study of optical solitons and light filaments steering in liquid crystal requires the utilization of particular cells designed for top view investigation and realized with an input interface which enables the control of the molecular director configuration, preventing light scattering. Actually, the director orientation imposed by this additional interface is estimated only by experimental observations. We report a simple model describing the distribution of the director orientation inside a liquid crystal sample under the anchoring action of multiple interfaces. The model is based on the elastic continuum theory, and strong anchoring is taken into account for boundary conditions. Results are in good agreement with experimental observations.


2008 ◽  
Vol 69 (3) ◽  
pp. 787-809 ◽  
Author(s):  
Maria-Carme Calderer ◽  
Sookyung Joo

1993 ◽  
Vol 148 (1) ◽  
pp. 11-24 ◽  
Author(s):  
F. M. Leslie ◽  
S. P. A. Gill

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