Ductility limit prediction using a GTN damage model coupled with localization bifurcation analysis
| Autor: | Farid Abed-Meraim, Hocine Chalal, Lotfi Zoher Mansouri |
|---|---|
| Přispěvatelé: | Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux (LEM3), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS)-Arts et Métiers Sciences et Technologies, HESAM Université (HESAM)-HESAM Université (HESAM), Labex DAMAS, Université de Lorraine (UL) |
| Rok vydání: | 2014 |
| Předmět: |
Materials science
Finite elasto-plasticity Constitutive equation Rice’s bifurcation analysis Modulus [SPI.MECA.MSMECA]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Materials and structures in mechanics [physics.class-ph] 02 engineering and technology [SPI.MECA.SOLID]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Solid mechanics [physics.class-ph] Plasticity Mécanique: Génie mécanique [Sciences de l'ingénieur] Ellipticity loss diagram Bifurcation theory 0203 mechanical engineering Ductile GTN damage [SPI.MECA.MEMA]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of materials [physics.class-ph] General Materials Science Material failure theory Mécanique: Mécanique des matériaux [Sciences de l'ingénieur] Mécanique: Mécanique des structures [Sciences de l'ingénieur] Plastic flow localization Instrumentation Bifurcation Plane stress Mécanique [Sciences de l'ingénieur] business.industry Mécanique: Mécanique des solides [Sciences de l'ingénieur] Mécanique: Matériaux et structures en mécanique [Sciences de l'ingénieur] Structural engineering Mechanics [SPI.MECA]Engineering Sciences [physics]/Mechanics [physics.med-ph] 021001 nanoscience & nanotechnology [SPI.MECA.GEME]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanical engineering [physics.class-ph] 020303 mechanical engineering & transports [SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Structural mechanics [physics.class-ph] Mechanics of Materials Hardening (metallurgy) 0210 nano-technology business |
| Zdroj: | Mechanics of Materials Mechanics of Materials, Elsevier, 2014, 76, pp.64-92. ⟨10.1016/j.mechmat.2014.06.005⟩ |
| ISSN: | 0167-6636 |
| DOI: | 10.1016/j.mechmat.2014.06.005 |
| Popis: | Because the localization of deformation into narrow planar bands is often precursor to material failure, several approaches have been proposed to predict this phenomenon. In this paper, the Gurson–Tvergaard– Needleman (GTN) elastic–plastic–damage model for ductile materials is considered. A large-strain version of this constitutive model is coupled with the Rice localization criterion, which is based on bifurcation theory, to investigate strain localization. The resulting loss of ellipticity condition is then used to determine ellipticiy loss diagrams (ELDs) associated with strain paths that are those typically applied to metals under biaxial stretching. A sensitivity analysis is conducted with respect to the model parameters on a representative selection of ductile materials. The analysis shows that the damage parameters have a significant impact on the predicted ELDs, which confirms the predominant role of damage-induced softening in triggering plastic flow localization with the adopted constitutive description combined with the bifurcation approach. As a consequence of this high sensitivity, it appears that the proper identification of damage parameters is a key issue for accurate plastic flow localization predictions using the GTN model coupled with bifurcation theory. The effect of the dense matrix hardening parameters on the strain localization predictions of the voided aggregate, although found much smaller in the whole, is more noticeable for the plane strain tension loading path or, more generally, when the critical hardening modulus required for localization is not strongly negative.; International audience; Because the localization of deformation into narrow planar bands is often precursor to material failure, several approaches have been proposed to predict this phenomenon. In this paper, the Gurson–Tvergaard– Needleman (GTN) elastic–plastic–damage model for ductile materials is considered. A large-strain version of this constitutive model is coupled with the Rice localization criterion, which is based on bifurcation theory, to investigate strain localization. The resulting loss of ellipticity condition is then used to determine ellipticiy loss diagrams (ELDs) associated with strain paths that are those typically applied to metals under biaxial stretching. A sensitivity analysis is conducted with respect to the model parameters on a representative selection of ductile materials. The analysis shows that the damage parameters have a significant impact on the predicted ELDs, which confirms the predominant role of damage-induced softening in triggering plastic flow localization with the adopted constitutive description combined with the bifurcation approach. As a consequence of this high sensitivity, it appears that the proper identification of damage parameters is a key issue for accurate plastic flow localization predictions using the GTN model coupled with bifurcation theory. The effect of the dense matrix hardening parameters on the strain localization predictions of the voided aggregate, although found much smaller in the whole, is more noticeable for the plane strain tension loading path or, more generally, when the critical hardening modulus required for localization is not strongly negative. |
| Databáze: | OpenAIRE |
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