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dc.contributor.authorBarchiesi M.
dc.contributor.authorDal Maso G.
dc.date.accessioned2017-02-21T08:18:17Z
dc.date.available2017-02-21T08:18:17Z
dc.date.issued2009-12-31
dc.identifier.issn0036-1410
dc.identifier.urihttp://hdl.handle.net/20.500.11824/507
dc.description.abstractWe analyze the behavior of a fragile material reinforced by a reticulated elastic unbreakable structure in the case of antiplane shear. The microscopic geometry of this material is described by means of two small parameters: the period ε of t he grid and the ratio δ between the thickness of the fibers and the period ε. We show that the asymptotic behavior as ε → 0+ and δ → 0+ depends dramatically on the relative size of these parameters. Indeed, in the two cases considered, i.e., ε &≪ δ and ε 3≫ δ, we obtain two different limit models: a perfectly elastic model and an elastic model with macroscopic cracks, respectively. © 2009 Society for Industrial and Applied Mathematics.
dc.formatapplication/pdf
dc.languageeng
dc.publisherSIAM Journal on Mathematical Analysis
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/
dc.subjectAmpersandGammacolon-convergence
dc.subjectFracture mechanics
dc.subjectFree discontinuity
dc.subjectHomogenization
dc.subjectMultiscale analysis
dc.titleHomogenization of fiber reinforced brittle materials: The extremal cases
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.identifier.doi10.1137/080744372
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-73349124081&doi=10.1137%2f080744372&partnerID=40&md5=613fc4d1ae712a2e03bce024607e5714


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