Publication:
Homogenized Gurson-type behavior equations for strain rate sensitive materials

dc.affiliation.dptoUC3M. Departamento de Mecánica de Medios Continuos y Teoría de Estructurases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Dinámica y Fractura de Elementos Estructuraleses
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Nonlinear Solid Mechanicses
dc.contributor.authorVadillo, Guadalupe
dc.contributor.authorReboul, Javier
dc.contributor.funderEuropean Commissionen
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.date.accessioned2020-01-10T11:50:55Z
dc.date.available2020-01-10T11:50:55Z
dc.date.issued2018-08-01
dc.description.abstractIn this paper, the classical Gurson model for ductile porous media is extended for strain-rate-dependent materials. Based on micromechanical considerations, approximate closed-form macroscopic behavior equations are derived to describe the viscous response of a ductile metallic material. To this end, the analysis of the expansion of a long cylindrical void in an ideally plastic solid introduced by McClintock (J Appl Mech 35:363, 1968) is revisited. The classical Gurson yield locus has been modified to explicitly take into account the strain rate sensitivity parameter for strain rate power-law solids. Two macroscopic approaches are proposed in this work. Both models use the first term of a Taylor series expansion to approximate integrals to polynomial functions. The first proposed closed-form approach is analytically more tractable than the second one. The second approach is more accurate. In order to compare the proposed approximate Gurson-type macroscopic functions with the behavior of the original Gurson yield locus, numerical finite element analyses for cylindrical cells have been conducted for a wide range of porosities, triaxialities, and strain rate sensitivity parameters. The results presented evidence that, for large values of the rate sensitivity parameters, the proposed extended Gurson-type models have the important quality to better predict the behavior of rate sensitive materials than the classical one. They also provide simpler and accurate alternatives to more traditional viscoplastic models.en
dc.description.sponsorshipThe authors are indebted to the Spanish Ministry of Economy and Competitiveness (Projects EUIN2015-62556 and DPI2014-57989-P) for the financial support received which allowed conducting part of this work. The research leading to these results has received funding from the European Union’s Horizon2020 Programme (Excellent Science, Marie-Sklodowska-Curie Actions) under REA Grant Agreement 675602 (Project OUTCOME).en
dc.format.extent20
dc.identifier.bibliographicCitationReboul, J. y Vadillo, G. (2018). Homogenized Gurson-type behavior equations for strain rate sensitive materials. Acta Mechanica, 229(8), pp. 3517–3536.en
dc.identifier.doihttps://doi.org/10.1007/s00707-018-2189-0
dc.identifier.issn0001-5970
dc.identifier.publicationfirstpage3517
dc.identifier.publicationissue8
dc.identifier.publicationlastpage3536
dc.identifier.publicationtitleActa Mechanicaen
dc.identifier.publicationvolume229
dc.identifier.urihttps://hdl.handle.net/10016/29431
dc.identifier.uxxiAR/0000021690
dc.language.isoengen
dc.publisherSpringeren
dc.relation.projectIDGobierno de España. DPI2014-57989-Pes
dc.relation.projectIDGobierno de España. EUIN2015-62556es
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/H2020/675602en
dc.rights© Springer-Verlag GmbH Austria, part of Springer Nature 2018en
dc.rights.accessRightsopen access
dc.subject.ecienciaIngeniería Industriales
dc.subject.ecienciaIngeniería Mecánicaes
dc.titleHomogenized Gurson-type behavior equations for strain rate sensitive materialsen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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