Utilize este identificador para referenciar este registo: http://hdl.handle.net/10400.21/5008
Título: Invariant integrals applied to nematic liquid crystals with small Ericksen number and topological defects
Autor: Pereira, Pedro Jorge da Silva
Atkinson, C.
Palavras-chave: Nematic Liquid Crystal
Topological Defects
Ericksen Number
Partial Differential Equations
Asymptotic Methods
Conformal Mapping Method
Data: Mar-2014
Editora: Pergamon-Elsevier Science LTD
Citação: PEREIRA, Pedro Jorge da Silva; ATKINSON, C. – Invariant integrals applied to nematic liquid crystals with small Ericksen number and topological defects. International Journal of Engineering Science. ISSN: 0020-7225. Vol. 76 (2014), pp. 12-26
Resumo: Invariant integrals are derived for nematic liquid crystals and applied to materials with small Ericksen number and topological defects. The nematic material is confined between two infinite plates located at y = -h and y = h (h is an element of R+) with a semi-infinite plate at y = 0 and x < 0. Planar and homeotropic strong anchoring boundary conditions to the director field are assumed at these two infinite and semi-infinite plates, respectively. Thus, a line disclination appears in the system which coincides with the z-axis. Analytical solutions to the director field in the neighbourhood of the singularity are obtained. However, these solutions depend on an arbitrary parameter. The nematic elastic force is thus evaluated from an invariant integral of the energy-momentum tensor around a closed surface which does not contain the singularity. This allows one to determine this parameter which is a function of the nematic cell thickness and the strength of the disclination. Analytical solutions are also deduced for the director field in the whole region using the conformal mapping method. (C) 2013 Elsevier Ltd. All rights reserved.
Peer review: yes
URI: http://hdl.handle.net/10400.21/5008
DOI: 10.1016/j.ijengsci.2013.11.015
ISSN: 0020-7225
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