Publication:
An analysis of Gurson model with parameters dependent on triaxiality based on unitary cells

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.contributor.authorVadillo, Guadalupe
dc.contributor.authorFernández-Sáez, José
dc.date.accessioned2012-10-31T13:09:49Z
dc.date.available2012-10-31T13:09:49Z
dc.date.issued2009-05
dc.description.abstractThe Gurson model is widely used in the continuum-mechanics framework to analyse the ductile fracture process promoted by the nucleation, growth, and coalescence of voids. Further works improved the original Gurson model by introducing two parameters, q1 and q2, to adjust model predictions to the numerical results of a periodic array of cylindrical and spherical voids in hardening materials. This modified model is known as the Gurson–Tvergaard (GT) model. Commonly, these parameters are considered constants or dependent only on the material-hardening properties. However, there is evidence that these parameters also depend on the triaxiality of the stress field, as well as on initial porosity. In this work, a consistent fully implicit integration of the constitutive equations of the GT model, considering the q-parameters dependent on the triaxiality and the initial porosity of the stress field, is presented, and the corresponding consistent tangent operator is proposed. The model is validated by comparing the stress–strain behaviour, as well as the evolution of void volume fraction, of a voided cell and the equivalent cell of GT material with dependent parameters. The cases considered correspond to variable triaxiality stress fields, present in non-proportional loading conditions.
dc.description.sponsorshipThis research was performed with the financial support of the Spanish Ministry of Education under Project reference DPI2005- 06769, and of the Region of Madrid, under Project reference CCG06-UC3M/DPI-0796.
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationEuropean Journal of Mechanics-A/Solids, vol. 28, n. 3, May-June 2009. Pp. 417-427.
dc.identifier.doi10.1016/j.euromechsol.2008.10.005
dc.identifier.issn0997-7538
dc.identifier.publicationfirstpage417
dc.identifier.publicationissue3
dc.identifier.publicationlastpage427
dc.identifier.publicationtitleEuropean Journal of Mechanics-A/Solids
dc.identifier.publicationvolume28
dc.identifier.urihttps://hdl.handle.net/10016/15797
dc.language.isoeng
dc.publisherElsevier
dc.relation.publisherversionhttp://dx.doi.org/10.1016/j.euromechsol.2008.10.005
dc.rights© Elservier
dc.rights.accessRightsopen access
dc.subject.ecienciaIngeniería Mecánica
dc.subject.ecienciaIngeniería Industrial
dc.subject.otherTriaxiality
dc.subject.otherGurson model
dc.subject.otherConsistent integration
dc.subject.otherNon-proportional loading
dc.titleAn analysis of Gurson model with parameters dependent on triaxiality based on unitary cells
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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