Constitutive Models for the Prediction of the Hot Deformation Behavior of the 10%Cr Steel Alloy

Shokry, Abdallah; Gowid, Samer; Kharmanda, Ghias; Mahdi, E.

doi:10.3390/ma12182873

Cited by 38 publications

(20 citation statements)

References 43 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…When the materials constant can be evaluated based on Equation (14), the flow stress can be predicted from Equation (15) [ 14 , 32 ], which is derived from Equations (1), (2) and (5).

…”

Section: Resultsmentioning

confidence: 99%

“…In addition, the average root mean square error (RMSE) is a statistical measure for model performance evaluation [ 14 , 38 ], which is used to compare the four constitutive equations further. The expression of RMSE is as follows:

where RMSE is the average root mean square error, E i is the experimental data and P i is the predicted value obtained from the model, and N is the total number of data employed in the investigation.…”

Section: Discussionmentioning

confidence: 99%

“…A similar result was obtained by developing constitutive models of 21–4 N heat resistant steel [ 9 ]. Moreover, the strain-compensated Arrhenius-type equation is most widely applied to describe the high-temperature flow behavior of metals and alloys [ 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 ]. These results mean that the strain-compensated Arrhenius-type model has a relatively strong predictive ability.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Constitutive Equations for Describing the Hot Compressed Behavior of TC4–DT Titanium Alloy

Wang

et al. 2020

Materials

View full text Add to dashboard Cite

Isothermal hot compression tests of TC4–DT titanium alloy were performed under temperatures of 1203–1293 K and strain rates of 0.001–10 s−1. The purpose of this study is to develop a new high-precision modified constitutive model that can describe the deformation behavior of TC4–DT titanium alloy. Both the modified strain-compensated Arrhenius-type equation and the modified Hensel–Spittel equation were established by revising the strain rate. The parameters in the above two modified constitutive equation were solved by combining regression analysis with iterative methods, which was used instead on the traditional linear regression methods. In addition, both the original strain-compensated Arrhenius-type equation and Hensel–Spittel equation were established to compare with the new modified constitutive equations. A comparison of the predicted values based on the four constitutive equations was performed via relative error, average absolute relative error (AARE) and the correlation coefficient (R). These results show the modified Arrhenius-type equation and the modified Hensel–Spittel equation is more accurate and efficient with a similar prediction accuracy. The AARE-value of the two modified constitutive equation is relatively low under various strain rates and their fluctuation is small as the strain rate changes.

show abstract

“…When the materials constant can be evaluated based on Equation (14), the flow stress can be predicted from Equation (15) [ 14 , 32 ], which is derived from Equations (1), (2) and (5).

…”

Section: Resultsmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Constitutive Equations for Describing the Hot Compressed Behavior of TC4–DT Titanium Alloy

Wang

et al. 2020

Materials

View full text Add to dashboard Cite

show abstract

“…A number of the above studies have identified that the strain-compensated Arrhenius-type equation has higher prediction accuracy. Therefore, the strain-compensated Arrhenius-type equation with a higher prediction accuracy is widely used to predict the flow stress of metals and alloys [23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Constitutive Equations for Describing the Warm and Hot Deformation Behavior of 20Cr2Ni4A Alloy Steel

Wang

Zhai

et al. 2020

Metals

View full text Add to dashboard Cite

Isothermal hot compression tests of 20Cr2Ni4A alloy steel were performed under temperatures of 973–1273 K and strain rates of 0.001–1 s−1. The behavior of the flow stress of 20Cr2Ni4A alloy steel at warm and hot temperatures is complicated because of the influence of the work hardening, the dynamic recovery, and the dynamic recrystallization. Four constitutive equations were used to predict the flow stress of 20Cr2Ni4A alloy steel, including the original strain-compensated Arrhenius-type (osA-type) equation, the new modified strain-compensated Arrhenius-type (msA-type) equation, the original Hensel–Spittel (oHS) equation and the modified Hensel–Spittel (mHS) equation. The msA-type and mHS are developed by revising the deformation temperatures, which can improve prediction accuracy. In addition, we propose a new method of solving the parameters by combining a linear search with multiple linear regression. The new solving method is used to establish the two modified constitutive equations instead of the traditional regression analysis. A comparison of the predicted values based on the four constitutive equations was performed via relative error, average absolute relative error (AARE) and the coefficient of determination (R2). These results show the msA-type and mHS equations are more accurate and efficient in terms of predicting the flow stress of the 20Cr2Ni4A steel at elevated temperature.

show abstract

“…Constitutive modelling has been widely used to study metal flow behaviour taking into account the effects of process parameters [4,5]. The constitutive equations provide the intrinsic workability behaviour of the material during deformation [6]. The stress-strain state during deformation is complex [2], due to inhomogeneities effects of process parameters [4].…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation on the effect of sample geometry size on the metal flow behaviour during the forging process

Obiko

Mwema

2020

IOPSciNotes

View full text Add to dashboard Cite

This paper reports on the effect of sample geometry size on the metal flow behaviour using Deform TM 3D finite element simulation software. The simulation process was done at forging temperature of 1100°C and upper die speed of 50 mm/second. The friction coefficient between the die and the sample interface was taken to be constant during the simulation process. The results of the effective stress and strain distribution in the deformed sample were reported. The results show that the effective stress and strain distribution in the deformed sample was non-uniformly distributed. The maximum effective strain occurred at the centre of the deformed sample for all the samples tested. The maximum effective stress occurred at the die-sample contact surface. At the contact surfaces, the effective stress decreased with a decrease in the sample size. The effective stress at the centre of the deformed sample increased with a decrease in the sample geometry size.

show abstract

Constitutive Models for the Prediction of the Hot Deformation Behavior of the 10%Cr Steel Alloy

Cited by 38 publications

References 43 publications

Constitutive Equations for Describing the Hot Compressed Behavior of TC4–DT Titanium Alloy

Constitutive Equations for Describing the Hot Compressed Behavior of TC4–DT Titanium Alloy

Constitutive Equations for Describing the Warm and Hot Deformation Behavior of 20Cr2Ni4A Alloy Steel

Numerical simulation on the effect of sample geometry size on the metal flow behaviour during the forging process

Contact Info

Product

Resources

About