Computational prediction of the localized necking in sheet forming based on microstructural material aspects

Boudeau, Nathalie; Gelin, Jean‐Claude; Salhi, Slim

doi:10.1016/s0927-0256(97)00153-5

Cited by 32 publications

(17 citation statements)

References 20 publications

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“…A microstructural model developed for the description of the aluminium alloy hardening (ALFLOW) has been used by Berstad et al [49] to predict the forming limits of the AA3103-0 alloy. Boudeau [53,54] used the linear stability analysis combined with a polycrystalline model to predict and to analyze the influences on the FLC. A polycristal plasticity model has been used by McGinty [213] to conduct parametric studies of FLC.…”

Section: Implementation Of the Polycrystalline Modelsmentioning

confidence: 99%

Advances in anisotropy and formability

et al. 2010

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This paper presents synthetically the most recent models for description of the anisotropic plastic behavior. The first section gives an overview of the classical models. Further, the discussion is focused on the anisotropic formulations developed on the basis of the theories of linear transformations and tensor representations, respectively. Those models are applied to different types of materials: body centered, faced centered and hexagonalclose packed metals. A brief review of the experimental methods used for characterizing and modeling the anisotropic plastic behavior of metallic sheets and tubes under biaxial loading is presented together with the models and methods developed for predicting and establishing the limit strains. The capabilities of some commercial programs specially designed for the computation of forming limit curves (FLC) are also analyzed.

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Section: Implementation Of the Polycrystalline Modelsmentioning

confidence: 99%

Advances in anisotropy and formability

et al. 2010

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“…The CP material model is very computationally heavy, so it is rarely used to model the whole specimen, which consists of millions of grains. It is often used to model the localization in metal sheets, where only a small part of the sheet needs to be represented, with applied plane-strain or plane-stress boundary conditions [30][31][32][33]. The CP model allows studying phenomena which are outside the scope of the phenomenological models, like surface roughening [34], and their influence on necking.…”

Section: Introductionmentioning

confidence: 99%

Simulation of large-strain behaviour of aluminium alloy under tensile loading using anisotropic plasticity models

Khadyko¹,

Dumoulin²,

Hopperstad³

2015

Computers & Structures

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Cylindrical smooth and notched AA6060 samples were tested in tension. The material was either cast and homogenized or extruded with strong cube texture. The textured specimens demonstrated unusual shapes of the fracture surface that deviated from elliptical and were more rectangular in shape. A phenomenological plasticity model was used in finite element simulations of the tensile tests, together with a crystal plasticity model. The phenomenological plasticity model could not reproduce the evolution of the cross-section of the specimens made from the textured material. The crystal plasticity finite element model on the other hand demonstrated behaviour closer to the experiments.

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“…It should be noted that the constitutive equations at the single crystal scale can be classified into two main families: rate-dependent (cf. Wu et al, 1997Wu et al, , 1998Wu et al, , 2004Boudeau et al, 1998;McGinty and McDowell, 2004;Inal et al, 2005;Neil and Agnew, 2009;Signorelli et al, 2009;Lévesque et al, 2010;Serenelli et al, 2011;Wang et al, 2011;Kim et al, 2013;Schwindt et al, 2015) and rate-independent approaches (cf. Knockaert et al, 2002;Yoshida and Kuroda, 2012;Akpama et al, 2017).…”

Section: Introductionmentioning

confidence: 99%

Computationally efficient predictions of crystal plasticity based forming limit diagrams using a spectral database

Gupta

Bettaieb

Abed‐Meraim

et al. 2018

International Journal of Plasticity

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible.This is an author-deposited version published in: https://sam.ensam.eu Handle ID: .http://hdl.handle.net/10985/13136 To cite this version :Akash GUPTA, Mohamed BEN BETTAIEB, Farid ABED-MERAIM, Surya KALIDINDIComputationally efficient predictions of crystal plasticity based forming limit diagrams using a spectral database -International Journal of Plasticity -Vol. 103, p.168-187 -2018 Any correspondence concerning this service should be sent to the repository A B S T R A C TThe present investigation focuses on the development of a fast and robust numerical tool for the prediction of the forming limit diagrams (FLDs) for thin polycrystalline metal sheets using a Taylor-type (full constraints) crystal plasticity model. The incipience of localized necking is numerically determined by the well-known Marciniak-Kuczynski model. The crystal plasticity constitutive equations, on which these computations are based, are known to be highly nonlinear, thus involving computationally very expensive solutions. This presents a major impediment to the wider adoption of crystal plasticity theories in the computation of FLDs. In this work, this limitation is addressed by using a recently developed spectral database approach based on discrete Fourier transforms (DFTs). Significant improvements were made to the prior approach and a new database was created to address this challenge successfully. These extensions are detailed in the present paper. It is shown that the use of the database allows a significant reduction in the computational cost involved in crystal plasticity based FLD predictions (a reduction of about 96% in terms of CPU time).

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Computational prediction of the localized necking in sheet forming based on microstructural material aspects

Cited by 32 publications

References 20 publications

Advances in anisotropy and formability

Advances in anisotropy and formability

Simulation of large-strain behaviour of aluminium alloy under tensile loading using anisotropic plasticity models

Computationally efficient predictions of crystal plasticity based forming limit diagrams using a spectral database

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