Prediction of forming limits for porous materials using void-size dependent model and bifurcation approach

Autor: Muhammad Waqar Nasir, Farid Abed-Meraim, Hocine Chalal
Přispěvatelé: University of Central Punjab, 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)
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Void (astronomy)
Materials science
Constitutive equation
[PHYS.MECA.GEME]Physics [physics]/Mechanics [physics]/Mechanical engineering [physics.class-ph]
Forming limit diagram
02 engineering and technology
Plasticity
01 natural sciences
[SPI.MAT]Engineering Sciences [physics]/Materials
[SPI]Engineering Sciences [physics]
Bifurcation theory
Localized necking
0203 mechanical engineering
[SPI.MECA.MEMA]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of materials [physics.class-ph]
[PHYS.MECA.SOLID]Physics [physics]/Mechanics [physics]/Solid mechanics [physics.class-ph]
0103 physical sciences
Bifurcation approach
Mécanique: Mécanique des matériaux [Sciences de l'ingénieur]
Porosity
Ductility
010301 acoustics
Ductile damage
Mechanical Engineering
[PHYS.MECA]Physics [physics]/Mechanics [physics]
Mechanics
Condensed Matter Physics
020303 mechanical engineering & transports
Mechanics of Materials
Gurson-type model
Porous medium
Void size effect
Zdroj: Meccanica
Meccanica, Springer Verlag, 2020, 55 (9), pp.1829-1845. ⟨10.1007/s11012-020-01222-1⟩
ISSN: 0025-6455
1572-9648
DOI: 10.1007/s11012-020-01222-1⟩
Popis: International audience; The scientific literature has shown the strong effect of void size on material response. Several yield functions have been developed to incorporate the void size effects in ductile porous materials. Based on the interface stresses of the membrane around a spherical void, a Gurson-type yield function, which includes void size effects, is coupled with the bifurcation theory for the prediction of plastic strain localization. The constitutive equations as well as the bifurcation-based localization criterion are implemented into the finite element code ABAQUS/Standard within the framework of large plastic deformations. The resulting numerical tool is applied to the prediction of forming limit diagrams (FLDs) for an aluminum material. The effect of void size on the prediction of FLDs is investigated. It is shown that smaller void sizes lead to an increase in the ductility limits of the material. This effect on the FLDs becomes more significant for high initial porosity, due to the increase of void-matrix interface strength within the material.
Databáze: OpenAIRE
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