000015166 001__ 15166
000015166 005__ 20161115100213.0
000015166 04107 $$aeng
000015166 046__ $$k2016-08-21
000015166 100__ $$aTriantafyllidis, Nicolas
000015166 24500 $$aFreedericksz Instability for the Twisted Nematic Device; A 3D Analysis (INVITED)

000015166 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000015166 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000015166 506__ $$arestricted
000015166 520__ $$2eng$$aOf interest here is the three-dimensional analysis of the Freedericksz transition for the Twisted Nematic Device (TND), which iszely used in Liquid Crystal Display (LCD) monitors. Using a coupled mechanical-electromagnetic variational formulation, we study a finite thickness liquid crystal layer, anchored between two infinite parallel plates relatively rotated with respect to each other by a given angle and subjected to a transverse uniform electric field. For small values of this field, all directors lie in planes parallel to the boundary. Above a critical electric field, this solution becomes unstable, while a new bifurcated solution, which has directors with an out-of-plane component, emerges. By scanning a wide range of the liquid crystal’s material parameter space, we establish whether the Freedericksz transition corresponds to a global mode (depending solely on the layer thickness coordinate), or to a local one, with finite wavelengths in one or both directions parallel to the plate.

000015166 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015166 653__ $$a

000015166 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000015166 720__ $$aTriantafyllidis, Nicolas
000015166 8560_ $$ffischerc@itam.cas.cz
000015166 8564_ $$s165612$$uhttps://invenio.itam.cas.cz/record/15166/files/TS.SM04-4.01.pdf$$yOriginal version of the author's contribution as presented on CD,  page 1923, code TS.SM04-4.01
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000015166 962__ $$r13812
000015166 980__ $$aPAPER