Forming limit comparisons for FCC and BCC sheets

Inal, Kaan; Neale, K.W.; Aboutajeddine, Ahmed

doi:10.1016/j.ijplas.2004.08.001

Cited by 87 publications

(52 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This assumption has been adopted in all of the contributions in which the initial imperfection approach has been used in conjunction with crystal plasticity multiscale schemes (e.g., Inal et al, 2005;Knockaert et al, 2002;Neil and Agnew, 2009;Schwindt et al, 2015;Signorelli et al, 2009). We recall that the initial imperfection approach is used to predict the incipience of localized necking, which is material type instability and, as such, independent of the geometric characteristics (in contrast to geometric or structural type instabilities).…”

Section: Formulation Of the Imperfection Approachmentioning

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%

See 1 more Smart Citation

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

View full text Add to dashboard Cite

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).

show abstract

Section: Formulation Of the Imperfection Approachmentioning

confidence: 99%

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

View full text Add to dashboard Cite

show abstract

“…On the other hand, Wu et al (2004b) use a mesoscopic approach and a Taylor homogenization scheme to show that texture evolution increases the limit-strains in the biaxial zone. Finally, Inal et al (2005) recently analyzed these two studies and their opposite conclusions, adding a study of how texture evolution in BCC materials affects the FLD. In the work of Inal et al, the simulations show that texture development does not have a significant influence on the FLD.…”

Section: Effects Of Texturementioning

confidence: 99%

“…It is widely recognized that the crystallographic texture strongly affects forming-limit diagrams and the macroscopic anisotropy of polycrystalline sheet metals. Numerous authors have adopted the MK model in conjunction with a crystal plasticity model to describe strain localization in rolled sheets (Kuroda & Tvergaard, 2000;Knockaert et al, 2002;Wu et al, 2004a;Inal et al, 2005;Yoshida et al, 2007;Neil & Agnew, 2009). Based on this strategy, the authors have examined how plastic anisotropy influences limit strains .…”

Section: Introductionmentioning

confidence: 99%

Self-Consistent Homogenization Methods for Predicting Forming Limits of Sheet Metal

Signorelli¹,

Bertinetti²

2012

Metal Forming - Process, Tools, Design

View full text Add to dashboard Cite

“…Although they are not totally independent from each other, they are distinguishable from deformation localization and failure mode view points. Different models such as Marciniak-Kuczynski (MK) [4] and crystal plasticity [5][6][7][8][9][10] are considered in the literature. In the MK model, the assumption of the existence of an initial imperfection is necessary.…”

Section: Introductionmentioning

confidence: 99%

Prediction of Forming Limit Diagrams in Sheet Metals Using Different Yield Criteria

Noori

Mahmudi

2007

Metall Mater Trans A

View full text Add to dashboard Cite

Based on the analysis proposed by Jones and Gillis (JG), forming limit diagrams (FLDs) are calculated from idealization of the sheet deformation into three stages: (I) homogenous deformation up to maximum load, (II) deformation localization under constant load, and (III) local necking with a precipitous drop in load. A constant cross-head speed is assumed in the deformation program for the first time. This means that the logarithmic strain rate varies during deformation, while in all previous works, the strain rate is assumed to be constant. In the calculation, three yield criteria including HillÕs 1948 quadratic criterion, HillÕs 1979 nonquadratic criterion, and HosfordÕs 1979 criterion are used. Using these yield criteria and the JG model, the effects of material parameters such as strain hardening, strain-rate sensitivity, and plastic anisotropy on the shape and level of the forming limit curves are studied. In addition, the capability of the JG model to predict the limit strains is demonstrated through comparison of calculated results with experimental data for interstitial-free (IF) steel and aluminum alloys 2036-T4, 3003-O, 5052-O, and 8014-O. It is observed that while the model predicts the FLDs of 2036-T4 and 5052-O more closely, it overestimates the forming limit strains for IF steel, 3003-O, and 8014-O aluminum alloys. It is concluded that the accuracy of the prediction depends on the measured mechanical properties of the material, the applied yield criterion, and the method of strain measurement, which determines how the FLDs are passed through different points. For those cases in which the predicted FLD is above the experimental one, care must be taken not to use the models for industrial purposes.

show abstract

Forming limit comparisons for FCC and BCC sheets

Cited by 87 publications

References 16 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

Self-Consistent Homogenization Methods for Predicting Forming Limits of Sheet Metal

Prediction of Forming Limit Diagrams in Sheet Metals Using Different Yield Criteria

Contact Info

Product

Resources

About