Theoretical FLD Prediction Based on M-K Model using Gurson's Plastic Potential Function for Steel Sheets

Hosseini, Mir Emad; Hosseinipour, Seyed Jamal; Bakhshi-Jooybari, Mohammad

doi:10.1016/j.proeng.2017.04.032

Cited by 7 publications

(3 citation statements)

References 9 publications

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“…The anisotropy of sheet metal was considered for the first time in the Hill48 yield criterion, where the anisotropy coefficient r was introduced [11]. However, it was found that the Hill48 yield criterion was not applicable for metal sheets with anisotropy coefficient less than 1, through a large number of experimental studies.…”

Section: Theoretical Predictionmentioning

confidence: 99%

Experimental Investigation and Theoretical Prediction of Forming Limit Diagram of DP600 Steel Sheets

Zheng,

Yan,

et al. 2023

Advances in Transdisciplinary Engineering

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This work established strain-based forming limit diagrams (FLDs) for DP600 steel sheets by means of experimental investigation and theoretical prediction. The results showed that compared to the theoretical forming limit curve (FLC), predicted by Keeler equation, the theoretical FLCs predicted by the Hill’79 yield criterion, or the Logan-Hosford yield criterion, were more suitable for predicting the forming limit of DP600 steel sheets. Solutions from the analytical methods were compared to experimental FLD, established based on combining uniaxial tensile tests and hydraulic bulging tests, only with an error of 3 %, proving the rationality and accuracy of the theoretical prediction.

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Section: Theoretical Predictionmentioning

confidence: 99%

Experimental Investigation and Theoretical Prediction of Forming Limit Diagram of DP600 Steel Sheets

Zheng,

Yan,

et al. 2023

Advances in Transdisciplinary Engineering

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“…Numerous applications of the approach combining the M-K method with damage models for the prediction of ductility limits have been presented in the literature over the last two decades. For instance, Huang et al [64], Simha et al [65], Liu et al [66], Hosseini et al [67] and Morin et al [68] considered the material imperfection in the form of initial porosity in Gursonbased damage models. Additionally, combination of material and geometric imperfections has also been considered in some investigations.…”

Section: Marciniak and Kuczyńskimentioning

confidence: 99%

Comparison between the Marciniak and Kuczyński imperfection approach and bifurcation theory in the prediction of localized necking for porous ductile materials

Nasir

Chalal

Abed‐Meraim

2022

Int J Adv Manuf Technol

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To prevent the occurrence of localized necking, the concept of forming limit diagram is often used, thus playing an important role in sheet metal forming processes. The aim of the present study is to develop a numerical tool for the theoretical prediction of forming limit diagrams, which would be a cost-effective procedure as compared to experimental measurements. The proposed numerical tool is based on the Marciniak and Kuczyński imperfection approach combined with the Gurson-Tvergaard-Needleman damage model, which is implemented into the MATLAB program within the framework of plane-stress conditions. Forming limit diagrams have been predicted by assuming both geometric (thickness) as well as material initial imperfections in the Marciniak and Kuczyński imperfection approach. These forming limit diagrams, for different sizes of geometric or material imperfections, are also compared with the forming limit diagram obtained by using the bifurcation theory. It is shown that the bifurcationbased forming limit diagram provides an upper bound as compared to the Marciniak and Kuczyński imperfection approach predictions. The results also reveal that, irrespective of the imperfection type considered in the Marciniak and Kuczyński imperfection approach, the corresponding forming limit diagram tends to that predicted by bifurcation theory when the size of initial imperfection tends to zero. Additionally, the predicted ductility limits are lowered as the magnitude of initial imperfection increases; however, the decrease in the ductility limits at balanced biaxial tension is more significant than for the other strain-path ratios. The results for the forming limit diagrams indicate that the predicted ductility limits are more sensitive to the initial imperfection in the thickness and the isotropic hardening coefficient as compared to the other types of material imperfections. Moreover, the initial imperfection in the critical porosity is the most influential one among the Gurson-Tvergaard-Needleman damage parameters.

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“…In order to accurately predict the forming limit, the M-K model can be combined with a ductile fracture criterion (DFC), for example, the well-known Gurson model and Gurson–Tvergaard–Needleman model [ 29 , 30 , 31 ]. This type of M-K+DFC model has been discussed briefly in the reviews of Banabic et al [ 25 , 32 ] and Zhang et al [ 33 ].…”

Section: Introductionmentioning

confidence: 99%

Forming Limit Analysis of Thin-Walled Extruded Aluminum Alloy Tubes under Nonlinear Loading Paths Using an Improved M-K Model

et al. 2023

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To meet the requirement of lighter weight and better performance in tube hydroforming, one of the most important tasks is to accurately predict the forming limit of thin-walled tubes under nonlinear loading paths. This work established the M-K+DF2012 model, a combination of the M-K model and the DF2012 ductile fracture criterion, for the forming limit prediction of thin-walled tubes under nonlinear loading paths. In this model, the failure of the groove is determined by the DF2012 criterion, and the corresponding strains in the uniform region are the limit strains. The limit strains of an AA6061 aluminum alloy tube under a set of linear loading paths and two typical nonlinear loading paths were tested. Parameter values of the M-K+DF2012 model for the tube were determined based on the experimental limit strains under linear loading paths, and the limit strains under the two nonlinear loading paths were predicted. Then the strain-based forming limit diagram (ε-FLD) and the polar effective plastic strain FLD (PEPS-FLD) of the tube under different pre-strains were predicted and discussed. The results show that the limit strains of the tube are obviously path-dependent, and the M-K+DF2012 model can reasonably capture the limit strains of the tube under both linear and nonlinear loading paths. The predicted ε-FLD shows a strong dependence on the pre-strain, while the predicted PEPS-FLD is weakly strain path-dependent and almost path-independent on the right-hand side for the AA6061 tube.

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Theoretical FLD Prediction Based on M-K Model using Gurson's Plastic Potential Function for Steel Sheets

Cited by 7 publications

References 9 publications

Experimental Investigation and Theoretical Prediction of Forming Limit Diagram of DP600 Steel Sheets

Experimental Investigation and Theoretical Prediction of Forming Limit Diagram of DP600 Steel Sheets

Comparison between the Marciniak and Kuczyński imperfection approach and bifurcation theory in the prediction of localized necking for porous ductile materials

Forming Limit Analysis of Thin-Walled Extruded Aluminum Alloy Tubes under Nonlinear Loading Paths Using an Improved M-K Model

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