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dc.contributor.authorCesana, P.
dc.date.accessioned2017-02-21T08:18:21Z
dc.date.available2017-02-21T08:18:21Z
dc.date.issued2011-12-31
dc.identifier.issn0036-1410
dc.identifier.urihttp://hdl.handle.net/20.500.11824/597
dc.description.abstractWe compute the large-body and the small-particle Gamma-limit of a family of energies for nematic elastomers. We work under the assumption of small deformations (linearized kinematics) and consider both compressible and incompressible materials. In the large-body asymptotics, even if we describe the local orientation of the liquid crystal molecules according to the model of perfect order (Frank theory), we prove that we obtain a fully biaxial nematic texture (that of the de Gennes theory) as a by-product of the relaxation phenomenon connected to Gamma-convergence. In the case of small particles, we show that formation of new microstructure is not possible, and we describe the map of minimizers of the Gamma-limit as the phase diagram of the mechanical model.
dc.formatapplication/pdf
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectGamma-convergence
dc.subjectLinearized elasticity
dc.subjectNematic liquid crystal elastomers
dc.titleNematic elastomers: Gamma-limits for large bodies and small particles
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1137/100795619
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-81255177577&doi=10.1137%2f100795619&partnerID=40&md5=fb633147ad1903cc49dadde971160db9
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleSIAM Journal on Mathematical Analysisen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
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