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dc.contributor.authorOtero Gruer, Fermín Enrique
dc.contributor.authorOller Martínez, Sergio Horacio
dc.contributor.authorMartínez García, Javier
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Física
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Ciència i Enginyeria Nàutiques
dc.date.accessioned2016-12-19T15:01:40Z
dc.date.available2017-11-25T01:30:40Z
dc.date.issued2018-04
dc.identifier.citationOtero, F., Oller, S., Martinez, X. Multiscale computational homogenization: review and proposal of a new enhanced-first-order method. "Archives of computational methods in engineering", Abril 2018, vol. 25, núm. 2, p. 479–505.
dc.identifier.issn1134-3060
dc.identifier.urihttp://hdl.handle.net/2117/98591
dc.descriptionThis is a copy of the author 's final draft version of an article published in the Archives of computational methods in engineering. The final publication is available at Springer via http://dx.doi.org/10.1007/s11831-016-9205-0
dc.description.abstractThe continuous increase of computational capacity has encouraged the extensive use of multiscale techniques to simulate the material behaviour on several fields of knowledge. In solid mechanics, the multiscale approaches which consider the macro-scale deformation gradient to obtain the homogenized material behaviour from the micro-scale are called first-order computational homogenization. Following this idea, the second-order FE2 methods incorporate high-order gradients to improve the simulation accuracy. However, to capture the full advantages of these high-order framework the classical boundary value problem (BVP) at the macro-scale must be upgraded to high-order level, which complicates their numerical solution. With the purpose of obtaining the best of both methods i.e. first-order and second-order, in this work an enhanced-first-order computational homogenization is presented. The proposed approach preserves a classical BVP at the macro-scale level but taking into account the high-order gradient of the macro-scale in the micro-scale solution. The developed numerical examples show how the proposed method obtains the expected stress distribution at the micro-scale for states of structural bending loads. Nevertheless, the macro-scale results achieved are the same than the ones obtained with a first-order framework because both approaches share the same macro-scale BVP.
dc.language.isoeng
dc.subjectÀrees temàtiques de la UPC::Enginyeria mecànica
dc.subject.lcshNumerical analysis
dc.subject.lcshComposite materials
dc.subject.otherCOMP-DES-MAT Project
dc.subject.otherCOMPDESMAT Project
dc.titleMultiscale computational homogenization: review and proposal of a new enhanced-first-order method
dc.typeArticle
dc.subject.lemacMecànica computacional
dc.subject.lemacAnàlisi numèrica
dc.subject.lemacMaterials compostos
dc.contributor.groupUniversitat Politècnica de Catalunya. RMEE - Grup de Resistència de Materials i Estructures en l'Enginyeria
dc.identifier.doi10.1007/s11831-016-9205-0
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttp://link.springer.com/article/10.1007%2Fs11831-016-9205-0
dc.rights.accessOpen Access
local.identifier.drac19332136
dc.description.versionPostprint (author's final draft)
dc.relation.projectidinfo:eu-repo/grantAgreement/EC/FP7/320815/EU/Advanced tools for computational design of engineering materials/COMP-DES-MAT
local.citation.authorOtero, F.; Oller, S.; Martinez, X.
local.citation.publicationNameArchives of computational methods in engineering
local.citation.volume25
local.citation.number2
local.citation.startingPage479
local.citation.endingPage505


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