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

Type
Articles dans des revues avec comité de lecture
Author
NASIR, Muhammad Waqar
484601 University of Central Punjab
178323 Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux [LEM3]
CHALAL, Hocine
178323 Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux [LEM3]
243747 Labex DAMAS
ABED-MERAIM, Farid
178323 Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux [LEM3]
243747 Labex DAMAS

URI
http://hdl.handle.net/10985/19659
DOI
10.1007/s11012-020-01222-1
Date
2020
Journal
Meccanica

Abstract

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.

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