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Gamma-convergence of energies for nematic elastomers in the small strain limit

TitleGamma-convergence of energies for nematic elastomers in the small strain limit
Publication TypeJournal Article
Year of Publication2011
AuthorsAgostiniani, V, DeSimone, A
JournalContinuum. Mech. Therm.
Volume 23
Start Page257
KeywordsLiquid crystals
Abstract

We study two variational models recently proposed in the literature to describe the mechanical behaviour of nematic elastomers either in the fully nonlinear regime or in the framework of a geometrically linear theory. We show that, in the small strain limit, the energy functional of the first one I\\\"-converges to the relaxation of the second one, a functional for which an explicit representation formula is available.

URLhttp://hdl.handle.net/1963/4141
DOI10.1007/s00161-011-0180-2

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