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dc.contributor.authorHenao, D.
dc.contributor.authorMora-Corral, C.
dc.date.accessioned2017-02-21T08:18:20Z
dc.date.available2017-02-21T08:18:20Z
dc.date.issued2011-12-31
dc.identifier.issn0003-9527
dc.identifier.urihttp://hdl.handle.net/20.500.11824/584
dc.description.abstractMotivated by nonlinear elasticity theory, we study deformations that are approximately differentiable, orientation-preserving and one-to-one almost everywhere, and in addition have finite surface energy. This surface energy e{open} was used by the authors in a previous paper, and has connections with the theory of currents. In the present paper we prove that e{open} measures exactly the area of the surface created by the deformation. This is done through a proper definition of created surface, which is related to the set of discontinuity points of the inverse of the deformation. In doing so, we also obtain an SBV regularity result for the inverse.
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.titleFracture Surfaces and the Regularity of Inverses for BV Deformations
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1007/s00205-010-0395-6
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-79960598611&doi=10.1007%2fs00205-010-0395-6&partnerID=40&md5=cc8055ffc65b091d429ecae8f80aeba7
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleArchive for Rational Mechanics and Analysisen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España