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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2007, Volume 48, Issue 2, Pages 98–111 (Mi pmtf2017)  

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
Full-text PDF (249 kB) Citations (1)
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
English version:
Journal of Applied Mechanics and Technical Physics, 2007, Volume 48, Issue 2, Pages 229–240
DOI: https://doi.org/10.1007/s10808-007-0030-y
Bibliographic databases:
Document Type: Article
UDC: 532.783
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Tra07}
\by S.~I.~Trashkeev
\paper Orientation mechanics of liquid crystals. Transition to a local coordinate system
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2007
\vol 48
\issue 2
\pages 98--111
\mathnet{http://mi.mathnet.ru/pmtf2017}
\elib{https://elibrary.ru/item.asp?id=17249421}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2007
\vol 48
\issue 2
\pages 229--240
\crossref{https://doi.org/10.1007/s10808-007-0030-y}
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  • https://www.mathnet.ru/eng/pmtf2017
  • https://www.mathnet.ru/eng/pmtf/v48/i2/p98
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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