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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2007, Volume 48, Issue 2, Pages 98–111
(Mi pmtf2017)
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This article is cited in 1 scientific paper (total in 1 paper)
Orientation mechanics of liquid crystals. Transition to a local coordinate system
S. I. Trashkeev Institute of Laser Physics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
Abstract:
Equations of orientation mechanics of liquid crystals, written in a local rotational coordinate system related to the director orientation, are considered. A condition is obtained, which ensures qualitative similarity between solutions predicted by an approximate (single-constant) model and solutions obtained with the original formulation of the problem. Equations that provide a more exact approximation to the general model are proposed. The use of matrices in recording of energy relations allows a fairly easy transition to other coordinate systems and studying more sophisticated models for the description of the orientation state of liquid crystals. A transition to a local coordinate system makes it possible to compute three-dimensional liquid-crystal structures on moderate-performance personal computers.
Keywords:
liquid crystal, mechanics of continuous media, rotation groups.
Received: 03.05.2006
Citation:
S. I. Trashkeev, “Orientation mechanics of liquid crystals. Transition to a local coordinate system”, Prikl. Mekh. Tekh. Fiz., 48:2 (2007), 98–111; J. Appl. Mech. Tech. Phys., 48:2 (2007), 229–240
Linking options:
https://www.mathnet.ru/eng/pmtf2017 https://www.mathnet.ru/eng/pmtf/v48/i2/p98
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