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dc.contributor.authorCesana P.en_US
dc.contributor.authorDella Porta F.en_US
dc.contributor.authorRüland A.en_US
dc.contributor.authorZillinger C.en_US
dc.contributor.authorZwicknagl B.en_US
dc.date.accessioned2020-05-06T20:30:17Z
dc.date.available2020-05-06T20:30:17Z
dc.date.issued2020-07
dc.identifier.urihttp://hdl.handle.net/20.500.11824/1103
dc.description.abstractIn this article we deduce necessary and sufficient conditions for the presence of “Conti-type”, highly symmetric, exactly stress-free constructions in the geometrically non-linear, planar n-well problem, generalising results of Conti et al. (Proc R Soc A 73(2203):20170235, 2017). Passing to the limit $n\rightarrow\infty$, this allows us to treat solid crystals and nematic elastomer differential inclusions simultaneously. In particular, we recover and generalise (non-linear) planar tripole star type deformations which were experimentally observed in Kitano and Kifune (Ultramicroscopy 39(1–4):279–286, 1991), Manolikas and Amelinckx (Physica Status Solidi (A) 60(2):607–617, 1980; Physica Status Solidi (A) 61(1):179–188, 1980). Furthermore, we discuss the corresponding geometrically linearised problem.en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.publisherArchive for Rational Mechanics and Analysisen_US
dc.relationinfo:eu-repo/grantAgreement/EC/H2020/669689en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectconvex integration, elasticity, nematic elastomersen_US
dc.titleExact Constructions in the (Non-linear) Planar Theory of Elasticity: From Elastic Crystals to Nematic Elastomersen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.typeinfo:eu-repo/semantics/submittedVersionen_US
dc.identifier.doi10.1007/s00205-020-01511-9
dc.relation.publisherversionhttps://doi.org/10.1007/s00205-020-01511-9en_US


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