Solution to problems caused by associated non-quadratic yield functions with respect to the ductile fracture

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dc.contributor.authorVobejda, Radekcs
dc.contributor.authorŠebek, Františekcs
dc.contributor.authorKubík, Petrcs
dc.contributor.authorPetruška, Jindřichcs
dc.coverage.issue1cs
dc.coverage.volume154cs
dc.date.issued2022-07-01cs
dc.description.abstractAccurate material behaviour and its response to loading are needed for a reliable calibration of ductile failure criteria. Non-quadratic yield functions are often necessary for such a description. Nevertheless, it leads to the prediction of stress states that are inconsistent with the expected behaviour and deformations that are in contradiction with the experiments when the associated flow rule is adopted. These problems may be solved by applying a less restrictive non-associated flow rule. Therefore, an isotropic non-associated non-quadratic phenomenological plasticity model was developed as a function of the second and third invariants of deviatoric stress tensor. The yield function that is convex was proposed to allow for different yield stresses in tension, compression and shear. For simplicity, the same function was used for the plastic potential. Each of these functions is described by seven material parameters. The scheme of the so-called next increment corrects error method was adopted for the implementation of the proposed model within finite elements. Above that, three additional plasticity models were calibrated for 2024-T351 aluminium alloy. It is shown how the non-associated flow rule resolves the above-mentioned problems. Moreover, the possible extensions of the proposed yield function are described to include the hydrostatic stress dependence.en
dc.description.abstractAccurate material behaviour and its response to loading are needed for a reliable calibration of ductile failure criteria. Non-quadratic yield functions are often necessary for such a description. Nevertheless, it leads to the prediction of stress states that are inconsistent with the expected behaviour and deformations that are in contradiction with the experiments when the associated flow rule is adopted. These problems may be solved by applying a less restrictive non-associated flow rule. Therefore, an isotropic non-associated non-quadratic phenomenological plasticity model was developed as a function of the second and third invariants of deviatoric stress tensor. The yield function that is convex was proposed to allow for different yield stresses in tension, compression and shear. For simplicity, the same function was used for the plastic potential. Each of these functions is described by seven material parameters. The scheme of the so-called next increment corrects error method was adopted for the implementation of the proposed model within finite elements. Above that, three additional plasticity models were calibrated for 2024-T351 aluminium alloy. It is shown how the non-associated flow rule resolves the above-mentioned problems. Moreover, the possible extensions of the proposed yield function are described to include the hydrostatic stress dependence.en
dc.formattextcs
dc.format.extent1-36cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationINTERNATIONAL JOURNAL OF PLASTICITY. 2022, vol. 154, issue 1, p. 1-36.en
dc.identifier.doi10.1016/j.ijplas.2022.103301cs
dc.identifier.issn0749-6419cs
dc.identifier.orcid0000-0003-3813-6555cs
dc.identifier.orcid0000-0003-1992-0563cs
dc.identifier.orcid0000-0002-0189-5729cs
dc.identifier.other177944cs
dc.identifier.researcheridI-5694-2013cs
dc.identifier.researcheridA-1850-2017cs
dc.identifier.researcheridF-8573-2018cs
dc.identifier.scopus57216287741cs
dc.identifier.scopus55163461900cs
dc.identifier.scopus7004256840cs
dc.identifier.urihttp://hdl.handle.net/11012/204708
dc.language.isoencs
dc.publisherElseviercs
dc.relation.ispartofINTERNATIONAL JOURNAL OF PLASTICITYcs
dc.relation.urihttps://www.sciencedirect.com/science/article/pii/S0749641922000833cs
dc.rightsCreative Commons Attribution-NonCommercial-NoDerivatives 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/0749-6419/cs
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/cs
dc.subjectDynamicsen
dc.subjectExplicit time integration schemeen
dc.subjectLode parameteren
dc.subjectPlane strainen
dc.subjectStress triaxialityen
dc.subjectMean stressen
dc.subjectDynamics
dc.subjectExplicit time integration scheme
dc.subjectLode parameter
dc.subjectPlane strain
dc.subjectStress triaxiality
dc.subjectMean stress
dc.titleSolution to problems caused by associated non-quadratic yield functions with respect to the ductile fractureen
dc.title.alternativeSolution to problems caused by associated non-quadratic yield functions with respect to the ductile fractureen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-177944en
sync.item.dbtypeVAVen
sync.item.insts2025.10.14 15:07:27en
sync.item.modts2025.10.14 09:58:02en
thesis.grantorVysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav mechaniky těles, mechatroniky a biomechanikycs
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