Skip to main content
SpringerLink
Log in

Development and Improvement of Phenomenological Constitutive Models for Thermo-Mechanical Processing of 300M Ultra-High Strength Steel

  • Technical Article
  • Published:
Journal of Materials Engineering and Performance Aims and scope Submit manuscript

Abstract

The hot deformation behavior of 300M ultra-high strength steel is investigated through isothermal uniaxial compression tests under various thermo-mechanical processing conditions of 900-1250 °C and 0.01-50 s−1. Using the friction-corrected data of the experimental flow stress, the strain-compensated Arrhenius-type model, modified Johnson–Cook model and Khan–Huang–Liang model are developed. Based on the analysis of the reason of large deviation, the modified Johnson–Cook and Khan–Huang–Liang models are improved. The strain-compensated Arrhenius-type model exhibits the highest prediction accuracy. The determination coefficient and average absolute relative error of the strain-compensated Arrhenius-type model are 0.9971 and 3.57%, respectively. Meanwhile, the improved version of the modified Johnson–Cook model records the determination coefficient of 0.9964 and average absolute relative error of 3.59%, and the improved Khan–Huang–Liang model records 0.9949 and 5.08%. In view of the prediction accuracy and computation complexity, the improved versions of the modified Johnson–Cook and Khan–Huang–Liang models are preferred models. The improved phenomenological constitutive models enable us to predict the hot deformation behavior effectively for the optimization of the thermo-mechanical processing parameters of 300M ultra-high strength steel.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15

Similar content being viewed by others

References

  1. J. Liu, Y.G. Liu, H. Lin, and M.Q. Li, The Metadynamic Recrystallization in the Two-Stage Isothermal Compression of 300M Steel, Mater. Sci. Eng. A, 2013, 565, p 126.

    Article  CAS  Google Scholar 

  2. R.C. Chen, S.Y. Zhang, M. Wang, X.L. Liu, and F. Feng, Unified Modelling of Flow Stress and Microstructural Evolution of 300M Steel under Isothermal Tension, Metals, 2021, 11, p 1086.

    Article  CAS  Google Scholar 

  3. X.L. He, X.Q. Yang, G.D. Zhang, J.W. Li, and H.C. Hu, Quenching Microstructure and Properties of 300M Ultra-High Strength Steel Electron Beam Welded Joints, Mater. Des., 2012, 40, p 386.

    Article  CAS  Google Scholar 

  4. R. Roumnia, J.D. Embury, O. Bouaziz, and H.S. Zurob, Mechanical Behavior of a Compositionally Graded 300M Steel, Mater. Sci. Eng. A, 2013, 578, p 140.

    Article  Google Scholar 

  5. J. Luo, Y.G. Liu, and M.Q. Li, Three-Dimensional Numerical Simulation and Experimental Analysis of Austenite Grain Growth Behavior in Hot Forging Processes of 300M Steel Large Components, J. Iron Steel Res. Int., 2016, 23, p 1012.

    Article  Google Scholar 

  6. F.G. Liu, X. Lin, M.H. Song, K. Song, F.F. Wang, Q.G. Li, Y.F. Han, and W.D. Huang, Austenitizing Behavior of Laser Solid Formed Ultrahigh-Strength 300M Steel, Steel Res. Int., 2017, 88, p 1.

    Article  Google Scholar 

  7. R. Zeng, L. Huang, H.L. Su, H.J. Ma, Y.F. Ma, and J.J. Li, Softening Characterization of 300M High-Strength Steel during Post-Dynamic Recrystallization, Metals, 2018, 340, p 1.

    Google Scholar 

  8. S. Hamtaei, A. Zarei-Hanzaki, and A. Mohamadizadeh, Optimum Deformation Criteria and Flow Behavior Description of Boron-Alloyed Steel through Numerical Approach, Steel Res. Int., 2016, 87, p 1657.

    Article  CAS  Google Scholar 

  9. D. Samantaray, S. Mandal, and A.K. Bhaduri, A Comparative Study on Johnson Cook, modified Zerilli-Armstrong and Arrhenius-Type Constitutive Models to Predict Elevated Temperature Flow Behaviour in Modified 9Cr-1Mo steel, Comput. Mater. Sci., 2009, 47, p 568.

    Article  CAS  Google Scholar 

  10. H.Y. Li, Y.H. Li, X.F. Wang, J.J. Liu, and Y. Wu, A Comparative Study on Modified Johnson Cook, modified Zerilli-Armstrong and Arrhenius-Type Constitutive Models to Predict The Hot Deformation Behavior in 28CrMnMoV Steel, Mater. Des., 2013, 49, p 493.

    Article  Google Scholar 

  11. A. Hajari, M. Morakabati, S.M. Abbasi, and H. Badri, Constitutive Modeling for High-Temperature Flow Behavior of Ti-6242S Alloy, Mater. Sci. Eng. A, 2017, 681, p 103.

    Article  CAS  Google Scholar 

  12. Z.H. Liu, H. Zhao, J.P. Li, Z.T. Niu, and V. Ji, Modified Johnson–Cook Constitutive Model of 18CrNiMo7-6 Alloy Steel Under Ultrasonic Surface Burnishing Process, J. Mater. Eng. Perform., 2022 https://doi.org/10.1007/s11665-022-07392-1

    Article  Google Scholar 

  13. A.K. Gupta, H.N. Krishnamuthy, Y. Singh, K.M. Prasad, and S.K. Singh, Development of Constitutive Models for Dynamic Strain Aging Regime in Austenitic Stainless Steel 304, Mater. Des., 2013, 45, p 616.

    Article  CAS  Google Scholar 

  14. A. He, G.L. Xie, H.L. Zhang, and X.T. Wang, A Comparative Study on Johnson–Cook, Modified Johnson–Cook and Arrhenius-Type Constitutive Models to Predict the High Temperature Flow Stress in 20CrMo Alloy Steel, Mater. Des., 2013, 62, p 677.

    Article  Google Scholar 

  15. S.P. Liu, D.F. Li, J.Y. He, and S.L. Guo, Constitutive Analysis to Predict High-Temperature Flow Stress of 25vol.% B4Cp/2009Al Composite, Rare Met. Mater. Eng., 2017, 46, p 2831.

    Article  CAS  Google Scholar 

  16. P. Tao, J.W. Zhong, H.X. Li, Q.D. Hu, S.L. Gong, and Q.Y. Xu, Microstructure, Mechanical Properties, and Constitutive Models for Ti-6Al-4V Alloy Fabricated by Selective Laser Melting (SLM), Metals, 2019, 447, p 1.

    Google Scholar 

  17. J. Wang, G.Q. Zhao, L. Chen, and J.L. Li, A Comparative Study of Several Constitutive Models for Powder Metallurgy Tungsten at Elevated Temperature, Mater. Des., 2016, 90, p 91.

    Article  CAS  Google Scholar 

  18. X. Hu, L.J. Xie, F.N. Gao, and J.F. Xiang, On the Development of Material Constitutive Model for 45CrNiMoVA Ultra-High-Strength Steel, Metals, 2019, 374, p 1.

    Google Scholar 

  19. Y.H. Zhao, J. Sun, J.F. Li, Y.Q. Yan, and P. Wang, A Comparative Study on Johnson–Cook and Modified Johnson–Cook Constitutive Material Model to Predict the Dynamic Behavior Laser Additive Manufacturing FeCr Alloy, J. Alloy. Compd., 2017, 723, p 179.

    Article  CAS  Google Scholar 

  20. Y.C. Lin, X.M. Chen, and G. Liu, A Modified Johnson–Cook Model for Tensile Behaviors of Typical High-Strength Alloy Steel, Mater. Sci. Eng. A, 2010, 527, p 6980.

    Article  Google Scholar 

  21. Y.C. Lin and X.M. Chen, A Combined Johnson–Cook and Zerilli–Armstrong Model For Hot Compressed Typical High-Strength Alloy Steel, Comput. Mater. Sci., 2010, 49, p 628.

    Article  CAS  Google Scholar 

  22. H.Y. Li, X.F. Wang, J.Y. Duan, and J.J. Liu, A Modified Johnson Cook Model for Elevated Temperature Flow Behavior of T24 Steel, Mater. Sci. Eng. A, 2013, 577, p 138.

    Article  CAS  Google Scholar 

  23. A.S. Khan, H.Y. Zhang, and L. Takacs, Mechanical Response and Modelling of Fully Compacted Nanocrystalline Iron and Copper, Int. J. Plast., 2000, 16, p 1459.

    Article  CAS  Google Scholar 

  24. J.X. Du, H.B. Li, Y.S. Zhang, and A.J. Mo, Investigation on Constitutive Relationship of 300M High Strength Steel during Hot Deformation, Forg. Stamp. Tech., 2014, 39, p 109.

    Google Scholar 

  25. Y.G. Liu, J. Luo, and M.Q. Li, The Fuzzy Neural Network Model of Flow Stress in the Isothermal Compression of 300M Steel, Mater. Des., 2012, 41, p 83.

    Article  Google Scholar 

  26. S.S. Zhang, M.Q. Li, Y.G. Liu, J. Luo, and T.Q. Liu, The Growth Behavior of Austenite Grain in the Heating Process of 300M Steel, Mater. Sci. Eng. A, 2011, 528, p 4967.

    Article  CAS  Google Scholar 

  27. A. Mohamadizadeh, A. Zarei-Hanzaki, and H.R. Abedi, Modified Constitutive Analysis and Activation Energy Evolution of a Low-Density Steel Considering the Effects of Deformation Parameters, Mech. Mater., 2016, 95, p 60.

    Article  Google Scholar 

  28. D. Samantaray, S. Mandal, A.K. Bhaduri, and P.V. Sivaprasad, An Overview on Constitutive Modelling to Predict Elevated Temperature Flow Behaviour of Fast Reactor Structural Materials, Trans. Ind. Inst. Met., 2010, 63, p 823.

    Article  CAS  Google Scholar 

  29. R. Ebrahimi and A. Najafizadeh, A New Method for Evaluation of Friction in Bulk Metal Forming, J. Mater. Process. Technol., 2002, 152, p 136.

    Article  Google Scholar 

  30. P. Wanjara, M. Jahazi, H. Monajati, and S. Yue, Immarigeon, Hot Working Behavior of Near-α Alloy IMI834, Mater. Sci. Eng. A, 2005, 396, p 50.

    Article  Google Scholar 

  31. Y.P. Li, E. Onodera, H. Matsumoto, and A. Chiba, Correcting the Stress-Strain Curve in Hot Compression Process to High Strain Level, Metall. Mater. Trans. A, 2009, 40, p 982.

    Article  CAS  Google Scholar 

  32. D. Trimble, H. Shipley, L. Lea, A. Jardine, and G.E. O’Donnell, Constitutive Analysis of Biomedical Grade Co-27Cr-5Mo Alloy at High Strain Rates, Mater. Sci. Eng. A, 2017, 682, p 466.

    Article  CAS  Google Scholar 

  33. E. Farabi, A. Zarei-Hanzaki, and H.R. Abedi, High Temperature Formability Prediction of Dual Phase Brass Using Phenomenological and Physical Constitutive Models, J. Mater. Eng. Perform., 2015, 24, p 209.

    Article  CAS  Google Scholar 

  34. C. Zener and J.H. Hollomon, Effect of Strain Rate Upon Plastic Flow of Steel, J. Appl. Phys., 1944, 15, p 22.

    Article  Google Scholar 

  35. K.H. Sim, Y.C. Li, C.H. Li, M.O. Kim, and H.C. Kim, Constitutive Modeling of a Fine-Grained Ti2AlNb-Based Alloy Fabricated by Mechanical Alloying and Subsequent Spark Plasma Sintering, Adv. Eng. Mater., 2021, 23, p 1.

    Article  Google Scholar 

  36. L. Luo, Z.Y. Liu, S. Bai, J.G. Zhao, D.P. Zeng, J. Wang, J. Cao, and Y.C. Hu, Hot Deformation Behavior Considering Strain Effects, and Recrystallization Mechanism of an Al-Zn-Mg-Cu Alloy, Materials, 2020, 1743, p 1.

    Google Scholar 

  37. X.K. Yang, K.S. Wang, Z.J. Zhang, M. Guo, J. Cai, and Q.X. Yang, Flow Stress Prediction for As-Cast TC17 Titanium Alloy, Rare Met. Mater. Eng., 2020, 49, p 1131.

    CAS  Google Scholar 

  38. A.S. Khan and R. Liang, Behaviors of Three BCC Metal Over a Wide Range of Strain Rates and Temperatures: Experiments and Modeling, Int. J. Plast., 1999, 15, p 1089.

    Article  CAS  Google Scholar 

Download references

Acknowledgments

The authors would like to gratefully acknowledge the financial support from the Central Research Fund of Kim Chaek University of Technology (MIRAE 2022595).

Author information

Authors and Affiliations

  1. School of Materials Science and Technology, Kim Chaek University of Technology, Pyongyang, Democratic People’s Republic of Korea

    Kyong Ho Sim, Li Sung Kim, Myong Jin Han, Ki Hyok Chu, Yong Ju Li & Jong Hye Li

Authors
  1. Kyong Ho Sim
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Li Sung Kim
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Myong Jin Han
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Ki Hyok Chu
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Yong Ju Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Jong Hye Li
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Kyong Ho Sim.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sim, K.H., Kim, L.S., Han, M.J. et al. Development and Improvement of Phenomenological Constitutive Models for Thermo-Mechanical Processing of 300M Ultra-High Strength Steel. J. of Materi Eng and Perform 33, 1021–1033 (2024). https://doi.org/10.1007/s11665-023-08030-0

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11665-023-08030-0

Keywords

Search

Navigation