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Communication Dans Un Congrès Année : 2013

Continuum electromechanical theory for nematic continua with application to Freedericksz instability

Résumé

In this communication we present the work by Pampolini and Triantafyllidis [1], in which an electro-mechanical theory for nematic continua is proposed. The theory is based on a variational approach and the equilibrium relations plus the Maxwell's equations are obtained as the Euler-Lagrange equations of a specific potential energy. The variational formulation is applied to the study of a 2D boundary value problem, termed in the literature as Freedericksz transition, where a nematic liquid crystal layer is confined between two plates and an electric field is applied perpendicular to the plates. This boundary value problem is treated as a bifurcation problem and an asymptotic analysis of the bifurcated equilibrium path is carried out.
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Dates et versions

hal-01722107 , version 1 (02-03-2018)

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Domaine public

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Giampiero Pampolini, Nicolas Triantafyllidis. Continuum electromechanical theory for nematic continua with application to Freedericksz instability. 11e colloque national en calcul des structures, CSMA, May 2013, Giens, France. ⟨10.1007/s10659-017-9665-y⟩. ⟨hal-01722107⟩
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