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Special-purpose elements to impose Periodic Boundary Conditions for multiscale computational homogenization of composite materials with the explicit Finite Element Method

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dc.affiliation.dptoUC3M. Departamento de Mecánica de Medios Continuos y Teoría de Estructurases
dc.contributor.authorSádaba, S.
dc.contributor.authorNaya Montans, Fernando
dc.contributor.authorHerráez, M.
dc.contributor.authorGonzález, G.
dc.contributor.authorLlorca, J.
dc.contributor.authorLopes, C. S.
dc.contributor.funderEuropean Commissionen
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.date.accessioned2022-02-09T10:11:41Z
dc.date.available2022-02-09T10:11:41Z
dc.date.issued2019-01-15
dc.description.abstractA novel methodology is presented to introduce Periodic Boundary Conditions (PBC) on periodic Representative Volume Elements (RVE) in Finite Element (FE) solvers based on dynamic explicit time integration. This implementation aims at overcoming the difficulties of the explicit FE method in dealing with standard PBC. The proposed approach is based on the implementation of a user-defined element, named a Periodic Boundary Condition Element (PBCE), that enforces the periodicity between periodic nodes through a spring-mass-dashpot system. The methodology is demonstrated in the multiscale simulation of composite materials. Two showcases are presented: one at the scale of computational micromechanics, and another one at the level of computational mesomechanics. The first case demonstrates that the proposed PBCE allows the homogenization of composite ply properties through the explicit FE method with increased efficiency and similar reliability with respect to the equivalent implicit simulations with traditional PBC. The second case demonstrates that the PBCE coupled with Periodic Laminate Elements (PLE) can effectively be applied to the computational homogenization of elastic and strength properties of entire laminates taking into account highly nonlinear effects. Both cases motivate the application of the methodology in multiscale virtual testing in support of the building-block certification of composite materials.en
dc.description.sponsorshipThe research leading to this publication was supported by the European Community FP7 Programme through project MAAXIMUS (grant agreement 213371) and by the Spanish Ministry of Industry, Economy and Competitiveness (MINECO) through project HYDTCOMP (grant MAT2015-69491-C03-02). C.S. Lopes also acknowledges the support of MINECO through the Ramón y Cajal fellowship (grant RYC-2013-14271). The authors are grateful to Prof. Ignacio Romero for his helpful insights on this research.en
dc.format.extent8
dc.identifier.bibliographicCitationSádaba, S., Herráez, M., Naya, F., González, C., Llorca, J. & Lopes, C. (2019). Special-purpose elements to impose Periodic Boundary Conditions for multiscale computational homogenization of composite materials with the explicit Finite Element Method. Composite Structures, 208, 434–441.en
dc.identifier.doihttps://doi.org/10.1016/j.compstruct.2018.10.037
dc.identifier.issn0263-8223
dc.identifier.publicationfirstpage433
dc.identifier.publicationlastpage441
dc.identifier.publicationtitleComposite Structuresen
dc.identifier.publicationvolume208
dc.identifier.urihttps://hdl.handle.net/10016/34074
dc.identifier.uxxiAR/0000029127
dc.language.isoengen
dc.publisherElsevieren
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/FP7/213371
dc.relation.projectIDGobierno de España. MAT2015-69491-C03-02es
dc.relation.projectIDGobierno de España. RYC-2013-14271es
dc.rights© 2018 Elsevier Ltd. All rights reserved.en
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subject.ecienciaIngeniería Mecánicaes
dc.subject.otherExplicit FEMen
dc.subject.otherPeriodic Boundary Conditions (PBC)en
dc.subject.otherHomogenizationen
dc.subject.otherMultiscale computational mechanicsen
dc.subject.otherComposite materialsen
dc.titleSpecial-purpose elements to impose Periodic Boundary Conditions for multiscale computational homogenization of composite materials with the explicit Finite Element Methoden
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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