Show simple item record

dc.contributor.authorToro, Sebastian
dc.contributor.authorSánchez, Pablo J.
dc.contributor.authorHuespe, Alfredo Edmundo
dc.contributor.authorGiusti, Sebastian Miguel
dc.contributor.authorBlanco, Pedro J.
dc.contributor.authorFeijóo, R.A.
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Resistència de Materials i Estructures a l'Enginyeria
dc.date.accessioned2015-09-23T12:39:06Z
dc.date.available2015-09-23T12:39:06Z
dc.date.created2014-02
dc.date.issued2014-02
dc.identifier.citationToro, S., Sánchez, P.J., Huespe, A.E., Giusti, S.M., Blanco, P.J. and Feijóo, R.A. (2014), A two-scale failure model for heterogeneous materials: numerical implementation based on the finite element method. Int. J. Numer. Meth. Engng., 97: 313–351. doi: 10.1002/nme.4576
dc.identifier.issn0029-5981
dc.identifier.urihttp://hdl.handle.net/2117/77051
dc.descriptionThis is the accepted version of the following article: Toro, S., Sánchez, P.J., Huespe, A.E., Giusti, S.M., Blanco, P.J. and Feijóo, R.A. (2014), A two-scale failure model for heterogeneous materials: numerical implementation based on the finite element method. Int. J. Numer. Meth. Engng., 97: 313–351. doi: 10.1002/nme.4576, which has been published in final form at http://onlinelibrary.wiley.com/doi/10.1002/nme.4576/abstract
dc.description.abstractIn the first part of this contribution, a brief theoretical revision of the mechanical and variational foundations of a Failure-Oriented Multiscale Formulation (FOMF) devised for modeling failure in heterogeneous materials is described. The proposed model considers two well separated physical length scales, namely: (i) the “macro” scale where nucleation and evolution of a cohesive surface is considered as a medium to characterize the degradation phenomenon occurring at the lower length scale, and (ii) the “micro” scale where some mechanical processes that lead to the material failure are taking place, such as strain localization, damage, shear band formation, etc. These processes are modeled using the concept of Representative Volume Element (RVE). On the macro scale, the traction separation response, characterizing the mechanical behavior of the cohesive interface, is a result of the failure processes simulated in the micro scale. The traction separation response is obtained by a particular homogenization technique applied on specific RVE subdomains. Standard, as well as, Non-Standard boundary conditions are consistently derived in order to preserve “objectivity” of the homogenized response with respect to the micro-cell size. In the second part of the paper, and as an original contribution, the detailed numerical implementation of the two-scale model based on the Finite Element Method is presented. Special attention is devoted to the topics which are distinctive of the FOMF, such as: (i) the finite element technologies adopted in each scale along with their corresponding algorithmic expressions, (ii) the generalized treatment given to the kinematical boundary conditions in the RVE and (iii) how these kinematical restrictions affect the capturing of macroscopic material instability modes and the posterior evolution of failure at the RVE level. Finally, a set of numerical simulations is performed.
dc.format.extent39 p.
dc.language.isoeng
dc.publisherJohn Wiley & Sons
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
dc.subjectÀrees temàtiques de la UPC::Enginyeria dels materials
dc.subject.lcshInhomogeneous materials--Mechanical properties--Mathematical models
dc.subject.othermultiscale formulations
dc.subject.otherfailure modeling of heterogeneous materials
dc.subject.otherrepresentative volume element (RVE)
dc.subject.othercomputational homogenization
dc.subject.othercohesive models
dc.subject.otherCOMP-DES-MAT Project
dc.subject.otherCOMPDESMAT Project
dc.titleA two-scale failure model for heterogeneous materials: numerical implementation based on the finite element method
dc.typeArticle
dc.subject.lemacMaterials inhomogenis
dc.contributor.groupUniversitat Politècnica de Catalunya. RMEE - Grup de Resistència de Materials i Estructures en l'Enginyeria
dc.identifier.doi10.1002/nme.4576
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttp://onlinelibrary.wiley.com/doi/10.1002/nme.4576/abstract
dc.rights.accessOpen Access
local.identifier.drac12850347
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.authorToro, S.; Sánchez, P.; Huespe, A.; Giusti, S.; Blanco, P.; Feijóo, R.
local.citation.publicationNameInternational journal for numerical methods in engineering
local.citation.volume97
local.citation.number5
local.citation.startingPage313
local.citation.endingPage351


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record

All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder