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Strain-order coupling in nematic elastomers: equilibrium configurations

TitleStrain-order coupling in nematic elastomers: equilibrium configurations
Publication TypeJournal Article
Year of Publication2009
AuthorsCesana, P, DeSimone, A
JournalMath. Models Methods Appl. Sci. 19 (2009) 601-630
Abstract

We consider models that describe liquid crystal elastomers either in a biaxial or in a uniaxial phase and in the framework of Frank\\\'s director theory. We prove existence of static equilibrium solutions in the presence of frustrations due to electro-mechanical boundary conditions and to applied loads and fields. We find explicit solutions arising in connection with special boundary conditions and the corresponding phase diagrams, leading to significant implications on possible experimental observations.

URLhttp://hdl.handle.net/1963/2700

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