Effect of cube texture on sheet metal formability

Wu, Peidong; MacEwen, S.R.; Lloyd, D. J.; Neale, K.W.

doi:10.1016/j.msea.2003.08.020

Cited by 99 publications

(56 citation statements)

References 8 publications

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“…However, the two FLDs differ significantly in the positive range of strain-path ratios, especially in the vicinity of equibiaxial stretching. This observation is consistent with other reports in the literature (Barlat, 1987;Wu et al, 2004;Yoshida et al, 2007;Signorelli et al, 2009). It has been found that the initial and induced plastic anisotropy mainly influence the yield surface shape and its evolution during plastic deformation.…”

Section: Numerical Resultssupporting

confidence: 93%

“…The current paper represents the first application of the DFT spectral database strategy to predict localized necking and the associated FLDs of thin metal sheets, represented as spectral crystal plasticity FLD (SCP-FLD). This new tool is presented and validated in this paper by comparing the predicted SCP-FLDs with the predictions from conventional methods, referred to as CP-FLD (e.g., Wu et al, 1997Wu et al, , 1998Wu et al, , 2004. We demonstrate that the strategy proposed here leads to major savings of computational cost (96% reduction in the computational cost for FLD predictions).…”

Section: Introductionmentioning

confidence: 90%

“…Accordingly, a wide range of phenomenological constitutive models have been coupled with several localization criteria to investigate the effect on the predicted FLDs of various mechanical features, such as plastic anisotropy (Neale and Chater, 1980;Cao et al, 2000;Kuroda and Tvergaard, 2000;Wu et al, 2004;Zhang and Wang, 2012), strain-rate sensitivity (Ghosh, 1977;Hutchinson and Neale, 1978b;Neale and Chater, 1980;Khan and Baig, 2011;Manopulo et al, 2015), temperature (Khan and Baig, 2011;Manopulo et al, 2015) and damage-induced softening (Haddag et al, 2009;Abed-Meraim et al, 2014;Mansouri et al, 2014). However, a major shortcoming in the phenomenological constitutive models is their inability to consider accurately many of the salient microstructural aspects of the material behavior, such as crystallographic texture (Hosford and Caddell, 1993;Raabe et al, 2005).…”

Section: Introductionmentioning

confidence: 99%

“…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%

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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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Section: Numerical Resultssupporting

confidence: 93%

Section: Introductionmentioning

confidence: 90%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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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show abstract

“…For the FLD simulations, crystallographic effects are taken into account by combining the M-K approach and a viscoplastic crystal-plasticity model (MK-VPSC) (Signorelli, 2006;. Based on this approach, we have examined several factors that influence limit strains, such as hardening behavior and plastic anisotropy (Wu et al, 2004;Inal et al, 2005;. It is widely recognized that the crystallographic texture strongly affects forming-limit diagrams and the macroscopic anisotropy of polycrystalline sheet metals.…”

Section: Introductionmentioning

confidence: 99%

Investigation of the dislocation slip assumption on formability of BCC sheet metals

Serenelli

Bertinetti²,

Signorelli

2010

International Journal of Mechanical Sciences

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Abstract.It is well known that the yield-surface shape greatly affects the prediction of strain-limit values, especially for biaxial-stretching paths. The sharpness of the material yield surface (PCYS) is related to the slip systems selected to accommodate the imposed deformation. Polycrystal models track the slip activity of each individual grain, allowing the evolution of anisotropy to be taken into account naturally. Consequently, we can correlate the change in the yield surface to the number and relative activity of the active slip systems.In this study, we focus on how different plastic crystal-anisotropy assumptions influence the predicted formability strains. The forming-limit diagrams (FLDs) are calculated based on a ratedependent polycrystal model together with the Marciniak-Kuczynski (M-K) approach, which develops localized necking from an initial imperfection in the form of a narrow zone across the sheet.Typically, numerical simulations of the FLDs performed for BCC sheets assume either 24 slip systems, of the type {110}<111> and {112}<111>, or 48 slip systems, also including {123} slip planes. Because the essential characteristics of multiple glide can be captured using 24 or 48 slip systems, researchers have been free to select either of the deformation modes for crystal plasticity simulations. However, when predicting FLD behavior with the full-constrain (FC) homogenization scheme, the selection of the active deformation modes strongly affects the calculated limit strains. For example, if two deformation modes are selected, the MK-FC model predicts unrealistically high limit strains in balanced-biaxial tension. These different behaviors can be avoided if a self-consistent (SC) homogenization scheme is used instead of the classical FC approach. The discrepancy between the MK-FC and MK-SC assumptions can be understood in terms of the differences in the slip systems selected by each case and, consequently, in the predicted lattice rotation and local curvature of the yield locus.

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Characterization of Damage Mechanisms during Bending of 6xxx Aluminium Automotive Sheets

Mattei¹,

Daniel²,

Guiglionda³

et al. 2012

ICAA13: 13th International Conference on Aluminum Alloys

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Effect of cube texture on sheet metal formability

Cited by 99 publications

References 8 publications

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

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

Investigation of the dislocation slip assumption on formability of BCC sheet metals

Characterization of Damage Mechanisms during Bending of 6xxx Aluminium Automotive Sheets

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