Experimental and Visco-Plastic Self-Consistent evaluation of forming limit diagrams for anisotropic sheet metals: An efficient and robust implementation of the M-K model

Schwindt, Claudio Daniel; Schlosser, Fernando; Bertinetti, María de los Angeles; Stout, M.G.; Signorelli, Javier

doi:10.1016/j.ijplas.2015.01.005

Cited by 59 publications

(20 citation statements)

References 126 publications

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“…Therefore, due to the absence of all relevant details, it is not possible to compare our approach in terms of computational time to other numerically efficient algorithms for predicting FLD, like the one discussed in Schwindt et al (2015) where a robust numerical procedure based on direct MK-VPSC approach is proposed. Spectral database approach is aimed at reduced-order modeling of crystal plasticity theories for general applications (within some idealizations and approximations as discussed) and essentially retains all features of a crystal plasticity theory, while being fast in evaluations.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…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%

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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 Resultsmentioning

confidence: 99%

Section: Formulation Of the Imperfection Approachmentioning

confidence: 99%

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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“…The conventional M-K model (Marciniak and Kuczyński, 1967) employs an imperfect factor to account for pre-existing imperfection zones in the sheet metal (Schwindt et al, 2015). There are two zones, designated zone B (where imperfection exists) and zone A (the remainder of the material).…”

Section: M-k Model For the Prediction Of Forming Limitmentioning

confidence: 99%

Transition of failure mode in hot stamping of AA6082 tailor welded blanks

Liu

Wang

Gao

et al. 2018

Journal of Materials Processing Technology

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“…Estos resultados fueron numéricamente verificados utilizando el modelo de Marciniak-Kuczynski (MK) en conjunto con criterios de fluencia anisótropos [7,8]. SCHWINDT et al [9] estudiaron la influencia de cambios abruptos de trayectorias de carga para materiales FCC isotrópicos y con textura de laminado, combinando la técnica MK conjuntamente con un modelo de plasticidad cristalina (VPSC -Visco-Plastic Self-Consistent). Los resultados mostraron diferentes comportamientos: aumento de formabilidad para pre-deformaciones uniaxiales seguidas de estirado equibiaxial; disminución de las deformaciones límite para estirado biaxial seguido de deformación plana y un comportamiento intermedio para trayectorias biaxiales seguidas de tracción uniaxial.…”

Section: Introductionunclassified

Efecto del cambio en el camino de deformación en la formabilidad de chapas de acero DP-780 y zinc Zn20

2018

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RESUMEN Los Diagramas Límite de Conformado (DLC), frecuentemente utilizados para caracterizar la formabilidad de chapas metálicas, se determinan asumiendo trayectorias de carga proporcionales hasta la ocurrencia de la inestabilidad plástica. Sin embargo, las deformaciones límite son afectadas significativamente por los cambios en los caminos de deformación, práctica muy usual en procesos reales de conformado de metales. El objetivo de este trabajo es analizar el efecto de la trayectoria de carga sobre el DLC de chapas de acero DP-780 de 0,9 mm de espesor y zinc Zn20 de 0,65 mm de espesor utilizando ensayos en dos etapas. Se estudiaron las deformaciones límite bajo tracción uniaxial para los materiales pre-deformados bajo carga equibiaxial. El DLC de referencia se obtuvo a través de ensayos de acopado hidráulico y de tracción uniaxial en probetas con diferentes geometrías de entalla. Las deformaciones límite obtenidas en la chapa DP-780 pre-deformada se encuentran por encima del diagrama de referencia, evidenciando una no despreciable dependencia de la formabilidad del material con la historia de carga. Por otro lado, las diferencias entre los DLCs de la chapa Zn20 son significativas. Esto se atribuye no sólo a efectos de trayectoria sino también a la recristalización dinámica continua que experimenta el material a temperatura ambiente.

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Experimental and Visco-Plastic Self-Consistent evaluation of forming limit diagrams for anisotropic sheet metals: An efficient and robust implementation of the M-K model

Cited by 59 publications

References 126 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

Transition of failure mode in hot stamping of AA6082 tailor welded blanks

Efecto del cambio en el camino de deformación en la formabilidad de chapas de acero DP-780 y zinc Zn20

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