Formability prediction using bifurcation criteria and GTN damage model

Autor: Hocine Chalal, Farid Abed-Meraim, Muhammad Waqar Nasir
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), Department of Mechanical Engineering, University of Engineering and Technology, Lahore, 54000, Pakistan
Rok vydání: 2021
Předmět:
Constitutive equation
[PHYS.MECA.GEME]Physics [physics]/Mechanics [physics]/Mechanical engineering [physics.class-ph]
Forming limit diagram
02 engineering and technology
[SPI.MECA.SOLID]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Solid mechanics [physics.class-ph]
Upper and lower bounds
Instability
[SPI]Engineering Sciences [physics]
Localized necking
Bifurcation theory
0203 mechanical engineering
[SPI.MECA.MEMA]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of materials [physics.class-ph]
Applied mathematics
General Materials Science
Bifurcation approach
Limit (mathematics)
Mécanique: Mécanique des matériaux [Sciences de l'ingénieur]
Non-associative plasticity
Diffuse necking
Bifurcation
Civil and Structural Engineering
Mathematics
Ductile damage
Mechanical Engineering
Mécanique: Mécanique des solides [Sciences de l'ingénieur]
[PHYS.MECA]Physics [physics]/Mechanics [physics]
Non-normal plastic flow
16. Peace & justice
021001 nanoscience & nanotechnology
Condensed Matter Physics
020303 mechanical engineering & transports
Gurson-type model
Mechanics of Materials
0210 nano-technology
Necking
Zdroj: International Journal of Mechanical Sciences
International Journal of Mechanical Sciences, Elsevier, 2021, 191, pp.106083. ⟨10.1016/j.ijmecsci.2020.106083⟩
ISSN: 0020-7403
DOI: 10.1016/j.ijmecsci.2020.106083
Popis: International audience; In this paper, four plastic instability criteria, which are based on the bifurcation theory, are coupled with the GTN damage model for the prediction of diffuse and localized necking. General bifurcation (GB) criterion and limit-point bifurcation (LPB) criterion are used to predict diffuse necking, while loss of ellipticity (LOE) criterion and loss of strong ellipticity (LOSE) criterion are used to predict localized necking. The resulting constitutive equations and instability criteria are implemented into the finite element code ABAQUS/Standard. The constitutive equations are formulated within the framework of large deformations and fully three-dimensional approach. Since the developed numerical tools have intended applications mainly for thin sheet metals; therefore, the plane-stress conditions are considered within the instability criteria. The present contribution focuses on the effect of destabilizing mechanisms, due to non-associative plasticity and non-normal plastic flow rule, on the prediction of forming limit diagrams (FLDs). Theoretical classification of the bifurcation criteria, in terms of their order of prediction of critical necking strains, is first presented. Then, several variants of the GTN model are combined with the bifurcation criteria for the prediction of FLDs for fictitious materials. It is shown that the hierarchical prediction order of the different instability criteria is consistent with the theoretical classification, for all the considered variants of the GTN model. More specifically, it is shown that the GB criterion provides a lower bound to all bifurcation criteria, in terms of necking prediction, while the LOE criterion represents an upper bound.
Databáze: OpenAIRE
Externí odkaz: