A ductile fracture model considering stress state and Zener–Hollomon parameter for hot deformation of metallic materials

Shang, Xiaoqing; Cui, Zhenshan; Fu, Ming

doi:10.1016/j.ijmecsci.2018.06.030

Cited by 56 publications

(20 citation statements)

References 37 publications

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“…The load of the curves decreases obviously after necking. Most experimental results show that the ST remarkably increases when necking occurs [19,27] . With the increase in ST, the plasticity of the material decreases, and the rate of void occurrence increases.…”

Section: Resultsmentioning

confidence: 99%

“…10, where LP remains -1 while ST increases. This indicates that the critical element is continuously elongated along the axial direction [18] . The force-displacement curves of NR from simulations compared with the corresponding experiments are shown in Fig.…”

Section: Plasticity Modelmentioning

confidence: 92%

“…For a precise calibration of a ductile fracture criterion, fracture experiments covering a wide range of stress states must be performed [15] . The fracture of materials with positive ST can be obtained by using SRB tension test, NR tension test, and plate tension test [16][17][18] . The fracture of materials with nearly zero ST can be obtained by the torsion and notched tube tension tests [19,20] .…”

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confidence: 99%

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Comparison of modified Mohr–Coulomb model and Bai–Wierzbicki model for constructing 3D ductile fracture envelope of AA6063

Gao

Huo

et al. 2020

Preprint

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The 3D ductile fracture envelope of AA6063-T6 were developed to predict and prevent its fracture. Smooth round bar tension tests were performed to characterize the flow stress, and a series of experiments were conducted to characterize the ductile fracture firstly, such as notched round bar tension tests, compression tests and torsion tests. These tests cover a wide range of stress triaxiality (ST) and Lode parameter (LP) to calibrate the ductile fracture criterion. Plasticity modeling was performed, and the predicted results were compared with corresponding experimental data to verify the plasticity model after these experiments. Then the relationship between ductile fracture strain and ST with LP was constructed using the modified Mohr–Coulomb (MMC) model and Bai-Wierzbicki (BW) model to develop the 3D ductile fracture envelope. Finally, two ductile damage models were proposed based on 3D fracture envolope of AA6063. Through the comparison of the two models, it was found that BW model had better fitting effect, and the sum of squares of residual error of BW model was 0.9901. The two models had relatively large errors in predicting the fracture strain of SRB tensile test and torsion test, but both of the predicting error of both two models were within the acceptable range of 15%. In the process of finite element simulation, the evolution process of ductile fracture can be well simulated by the two models. However, BW model can predict the location of fracture more accurately than MMC model.

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Section: Resultsmentioning

confidence: 99%

Section: Plasticity Modelmentioning

confidence: 92%

mentioning

confidence: 99%

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Comparison of modified Mohr–Coulomb model and Bai–Wierzbicki model for constructing 3D ductile fracture envelope of AA6063

Gao

Huo

et al. 2020

Preprint

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“…With the increase of Z parameter, the grain size after DRX decreased, but when the strain rate exceeded the critical value, the grain size increased [19]. The DRX behavior in the process of high temperature deformation can be studied by Z-parameters in both compression and tension states [20]. The Arrhenius equation shown in equation 2is used to calculate the activation energy of DRX.…”

Section: Arrhenius Equation For Flow Behavior With Drxmentioning

confidence: 99%

Modeling and simulation of dynamic recrystallization behavior for Q890 steel plate based on plane strain compression tests

Yang

2020

Open Physics

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In view that the traditional dynamic recrystallization (DRX) model cannot effectively predict the DRX process in the hot deformation process of sheet metal, DRX behavior modeling and simulation of q890 steel plate based on the plane strain compression test are designed. The plane strain thermal simulation tests were performed at 1,223–1,373 K and the strain rates of 1–50−1 on Gleeble-3500 thermal–mechanical simulator. The flow stress curves were well smoothed. The stress–strain data were investigated for the analysis of the dynamic recrystallization in the process of thermal deformation. The activation energy of DRX was calculated as Q = 394.53 kJ/mol by the simulation data. The equation of peak strain was developed with the flow stress data by the Zener–Hollomon parameter. The DRX transformation fraction of Q890 steel was studied, and the DRX kinetics equation was developed by the Avrami equation. The experimental data are in good agreement with the calculated values, which proves the reliability of the DRX model and can be widely used in real life.

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“…The Arrhenius Equation, which is in fact a phenomenological approach, was used to predict constitutive equation [24,25], which gives the flow stress and strain at different temperatures and expresses the Z parameter, known as the Zener-Hollomon parameter [26]. The Z parameter represents the temperature compensated strain rate, which has been widely used to characterize the behavior of materials in hot working [27]. The Z parameter is formulated as:…”

Section: Constitutive Modellingmentioning

confidence: 99%

Hot Deformation Process Analysis and Modelling of X153CrMoV12 Steel

Krbaťa

Eckert

Križan

et al. 2019

Metals

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Analysis of the high temperature plastic behavior of high-strength steel X153CrMoV12 was developed in the temperature range of 800–1200 °C and the deformation rate in the range of 0.001–10 s−1 to the maximum value of the true strain 0.9%. Microstructural changes were observed using light optical microscopy (LOM) as well as atomic force microscopy (AFM). The effect of hot deformation temperature on true stress, peak stress and true strain was evaluated from the respective flow curves. Based on these results, steel transformation was discussed from the dynamic recovery and recrystallization point of view. Furthermore, a present model, taking into account the Zener–Hollomon parameter, was developed to predict the true stress and strain over a wide range of temperatures and strain rates. Using constitutive equations, material parameters and activation energy were derived, which can be subsequently applied to other models related to hot deformation behavior of selected tool steels. The experimental data were compassed to the ones obtained by the predictive model with the correlation coefficient R = 0.98267. These results demonstrate an appropriate applicability of the model for experimental materials in hot deformation applications.

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A ductile fracture model considering stress state and Zener–Hollomon parameter for hot deformation of metallic materials

Cited by 56 publications

References 37 publications

Comparison of modified Mohr–Coulomb model and Bai–Wierzbicki model for constructing 3D ductile fracture envelope of AA6063

Comparison of modified Mohr–Coulomb model and Bai–Wierzbicki model for constructing 3D ductile fracture envelope of AA6063

Modeling and simulation of dynamic recrystallization behavior for Q890 steel plate based on plane strain compression tests

Hot Deformation Process Analysis and Modelling of X153CrMoV12 Steel

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