Homogenized Gurson-type behavior equations for strain rate sensitive materials

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dc.contributor.author Vadillo, Guadalupe
dc.contributor.author Reboul, Javier
dc.date.accessioned 2020-01-10T11:50:55Z
dc.date.available 2020-01-10T11:50:55Z
dc.date.issued 2018-08-01
dc.identifier.bibliographicCitation Reboul, J. y Vadillo, G. (2018). Homogenized Gurson-type behavior equations for strain rate sensitive materials. Acta Mechanica, 229(8), pp. 3517–3536.
dc.identifier.issn 0001-5970
dc.identifier.uri http://hdl.handle.net/10016/29431
dc.description.abstract In 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.
dc.description.sponsorship The 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).
dc.format.extent 20
dc.language.iso eng
dc.publisher Springer
dc.rights © Springer-Verlag GmbH Austria, part of Springer Nature 2018
dc.title Homogenized Gurson-type behavior equations for strain rate sensitive materials
dc.type article
dc.subject.eciencia Ingeniería Industrial
dc.subject.eciencia Ingeniería Mecánica
dc.identifier.doi https://doi.org/10.1007/s00707-018-2189-0
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. DPI2014-57989-P
dc.relation.projectID Gobierno de España. EUIN2015-62556
dc.relation.projectID info:eu-repo/grantAgreement/EC/H2020/675602
dc.type.version acceptedVersion
dc.identifier.publicationfirstpage 3517
dc.identifier.publicationissue 8
dc.identifier.publicationlastpage 3536
dc.identifier.publicationtitle Acta Mechanica
dc.identifier.publicationvolume 229
dc.identifier.uxxi AR/0000021690
dc.contributor.funder European Commission
dc.contributor.funder Ministerio de Economía y Competitividad (España)
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