Prediction of localized necking based on crystal plasticity: Comparison of bifurcation and imperfection approaches

Autor: Mohamed Ben Bettaieb, Holanyo K. Akpama, Farid Abed-Meraim
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), ANR-11-LABX-0008,DAMAS,Design des Alliages Métalliques pour Allègement des Structures(2011)
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Materials science
Crystal plasticity
[PHYS.MECA.GEME]Physics [physics]/Mechanics [physics]/Mechanical engineering [physics.class-ph]
02 engineering and technology
01 natural sciences
Instability
[SPI.MAT]Engineering Sciences [physics]/Materials
[PHYS.MECA.MEMA]Physics [physics]/Mechanics [physics]/Mechanics of materials [physics.class-ph]
[SPI]Engineering Sciences [physics]
Bifurcation theory
Microstructure–ductility relationships
0103 physical sciences
[SPI.MECA.MEMA]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of materials [physics.class-ph]
Forming limit diagrams
[PHYS.MECA.SOLID]Physics [physics]/Mechanics [physics]/Solid mechanics [physics.class-ph]
Formability
General Materials Science
Anisotropy
Microscale chemistry
Bifurcation
010302 applied physics
business.industry
Mécanique [Sciences de l'ingénieur]
Mechanical Engineering
Imperfection approach
Plastic instabilities
Mechanics
Structural engineering
[CHIM.MATE]Chemical Sciences/Material chemistry
[SPI.MECA]Engineering Sciences [physics]/Mechanics [physics.med-ph]
021001 nanoscience & nanotechnology
Selfconsistent scale transition
Mechanics of Materials
visual_art
visual_art.visual_art_medium
0210 nano-technology
Sheet metal
business
Necking
Zdroj: 16th International Conference Metal Forming (Metal Forming 2016)
16th International Conference Metal Forming (Metal Forming 2016), Sep 2016, Krakow, Poland. pp.779-790
Key Engineering Materials
Key Engineering Materials, Trans Tech Publications, 2016, 716, pp.779-789. ⟨10.4028/www.scientific.net/KEM.716.779⟩
HAL
ISSN: 1013-9826
1662-9795
DOI: 10.4028/www.scientific.net/KEM.716.779⟩
Popis: International audience; In the present work, a powerful modeling tool is developed to predict and analyze the onset of strain localization in polycrystalline aggregates. The predictions of localized necking are based on two plastic instability criteria, namely the bifurcation theory and the initial imperfection approach. In this tool, a micromechanical model, based on the self-consistent scale-transition scheme, is used to accurately derive the mechanical behavior of polycrystalline aggregates from that of their microscopic constituents (the single crystals). The mechanical behavior of the single crystals is developed within a large strain rate-independent constitutive framework. This micromechanical constitutive modeling takes into account the essential microstructure-related features that are relevant at the microscale. These microstructural aspects include key physical mechanisms, such as initial and induced crystallographic textures, morphological anisotropy and interactions between the grains and their surrounding medium. The developed tool is used to predict sheet metal formability through the concept of forming limit diagrams (FLDs). The results obtained by the self-consistent averaging scheme, in terms of predicted FLDs, are compared with those given by the more classical full-constraint Taylor model. Moreover, the predictions obtained by the imperfection approach are systematically compared with those given by the bifurcation analysis, and it is demonstrated that the former tend to the latter in the limit of a vanishing size for the initial imperfection.
Databáze: OpenAIRE