dc.contributor.author | Barchiesi, M. | |
dc.contributor.author | Dal Maso, G. | |
dc.date.accessioned | 2017-02-21T08:18:17Z | |
dc.date.available | 2017-02-21T08:18:17Z | |
dc.date.issued | 2009-12-31 | |
dc.identifier.issn | 0036-1410 | |
dc.identifier.uri | http://hdl.handle.net/20.500.11824/507 | |
dc.description.abstract | We 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.format | application/pdf | |
dc.language.iso | eng | en_US |
dc.rights | Reconocimiento-NoComercial-CompartirIgual 3.0 España | en_US |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/es/ | en_US |
dc.subject | AmpersandGammacolon-convergence | |
dc.subject | Fracture mechanics | |
dc.subject | Free discontinuity | |
dc.subject | Homogenization | |
dc.subject | Multiscale analysis | |
dc.title | Homogenization of fiber reinforced brittle materials: The extremal cases | |
dc.type | info:eu-repo/semantics/article | en_US |
dc.identifier.doi | 10.1137/080744372 | |
dc.relation.publisherversion | https://www.scopus.com/inward/record.uri?eid=2-s2.0-73349124081&doi=10.1137%2f080744372&partnerID=40&md5=613fc4d1ae712a2e03bce024607e5714 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | en_US |
dc.type.hasVersion | info:eu-repo/semantics/publishedVersion | en_US |
dc.journal.title | SIAM Journal on Mathematical Analysis | en_US |