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Constitutive Modeling of 2024 Aluminum Alloy Based on the Johnson–Cook Model

  • S. RasaeeEmail author
  • A. H. Mirzaei
Technical Paper
  • 22 Downloads

Abstract

In this paper, hot compression behavior of Al2024 in the temperatures range of 573–723 K and strain rate range of 0.001–0.6 s−1 was studied based on standard tests. The prediction of flow stress was performed using constitutive equations based on the basic and modified Johnson–Cook model, and the accuracy of the proposed models was estimated by statistical error analysis method. Based on the experimental results, flow stress got changed significantly with changes in the strain rate and temperature. Since the basic model could not examine the correlated effects of the parameters, it had inadequate exactness to estimate the flow stress especially at high temperatures. During calculation, the constants in the modified model, effects of hardening and softening behavior were included in addition to considering the correlated effects of the parameters, so the accuracy of the modified model was increased significantly.

Keywords

2024 aluminum alloy Hot compression deformation Constitutive equation Johnson–cook model 

List of Symbols

σ

Flow stress

ε

Strain

T

Temperature

\( \dot{\varepsilon } \)

Strain rate

\( \dot{\varepsilon }^{*} \)

Dimensionless strain rate \( \dot{\varepsilon }^{ *} = \dot{\varepsilon }/\dot{\varepsilon }_{\text{r}} \)

\( T^{*} \)

\( {\text{Homologous}}\;{\text{temperature:}}\) \( T^{ *} = \left( {T - T_{\text{r}} } \right)/\left( {T_{\text{m}} - T_{\text{r}} } \right) \)

\( T_{\text{r}} \)

The temperature at the reference condition: \( T_{\text{r}} = 673\;{\text{K}} \)

\( \dot{\varepsilon }_{\text{r}} \)

The strain rate at the reference condition: \( \dot{\varepsilon }_{\text{r}} = 0.001\;{\text{s}}^{ - 1} \)

Notes

References

  1. 1.
    Chen L, Zhao G, Gong J, Chen X, and Chen M. J Mater Eng Perform 24 (2015) 5002.CrossRefGoogle Scholar
  2. 2.
    Chen L, Zhao G, and Yu J. Mater Des 74 (2015) 25.CrossRefGoogle Scholar
  3. 3.
    Changizian P, Zarei-Hanzaki A, and Roostaei A A. Mater Des 39 (2012) 384.CrossRefGoogle Scholar
  4. 4.
    Lin Y C, and Chen X -M. Mater Des 32 (2011) 1733.CrossRefGoogle Scholar
  5. 5.
    Abbasi-Bani A, Zarei-Hanzaki A, Pishbin M H, and Haghdadi N. Mech Mater 71 (2014) 52.CrossRefGoogle Scholar
  6. 6.
    Johnson G R, and Cook W H, in 7th International Symposium on Ballistics. The Hague, Netherlands (1983).Google Scholar
  7. 7.
    Akbari Z, Mirzadeh H, and Cabrera J -M, Mater Des 77 (2015) 126.CrossRefGoogle Scholar
  8. 8.
    Ashtiani H R, Parsa M, and Bisadi H, Mater Sci Eng A 545 (2012) 61.CrossRefGoogle Scholar
  9. 9.
    Chen L, Zhao G, Yu J, Zhang W, and Wu T, Int J Adv Manuf Technol 74 (2014) 383.CrossRefGoogle Scholar
  10. 10.
    Zhang C, Zhao G, Chen H, Guan Y, Cai H, and Gao B, J Mater Eng Perform, 22 (2013) 1223.CrossRefGoogle Scholar
  11. 11.
    Liu H, Bao J, Xing Z, Zhang D, Song B, and Lei C, J Mater Eng Perform, 20 (2011) 894.CrossRefGoogle Scholar
  12. 12.
    He A, Xie G, Zhang H, and Wang X, Mater Des (1980–2015) 52 (2013) 677–685.Google Scholar
  13. 13.
    Li H Y, Wang X F, Duan J Y, and Liu J, J Mater Sci Eng A, 577 (2013) 138.CrossRefGoogle Scholar
  14. 14.
    Lin Y C, and Chen X -M, Comput Mater Sci 49 (2010) 628.CrossRefGoogle Scholar
  15. 15.
    Mirzadeh H, Mech Mater 85 (2015) 66.CrossRefGoogle Scholar
  16. 16.
    Lin Y C, Li L T, Fu Y X, and Jiang Y Q, J Mater Sci, 47 (2012) 1306.CrossRefGoogle Scholar
  17. 17.
    Song W, Ning J, Mao X, and Tang H, Mater Sci Eng A, 576 (2013) 280.CrossRefGoogle Scholar
  18. 18.
    Bobbili R, and Madhu V, J Mater Eng Perform 25 (2016) 1829.CrossRefGoogle Scholar
  19. 19.
    Hou Q Y, and Wang J T, Comput Mater Sci 50 (2010) 147.CrossRefGoogle Scholar
  20. 20.
    Lin Y C, Chen X -M, and Liu G, Mater Sci Eng A, 527 (2010) 6980.CrossRefGoogle Scholar
  21. 21.
    Samantaray D, Mandal S, Phaniraj C, and Bhaduri A, K Mater Sci Eng A, 528 (2011) 8565.CrossRefGoogle Scholar
  22. 22.
    Deng Y, Yin Z, and Huang J, Mater Sci Eng A 528 (2011) 1780.CrossRefGoogle Scholar
  23. 23.
    Lin Y C, Li Q F, Xia Y C, and Li L T, Mater Sci Eng A 534 (2012) 654.CrossRefGoogle Scholar

Copyright information

© The Indian Institute of Metals - IIM 2019

Authors and Affiliations

  1. 1.Department of Mechanical Engineering, Faculty of EnergyKermanshah University of TechnologyKermanshahIran

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