Skip to main content
SpringerLink
Log in

A modified Johnson-Cook model of AA6061-O aluminum alloy with quasi-static pre-strain at high strain rates

  • Original Research
  • Published:
International Journal of Material Forming Aims and scope Submit manuscript

Abstract

In this paper, specimens were first pre-stretched to different pre-strain coefficients (0, 0.4 and 0.8) under quasi-static tensile for AA6061-O aluminum alloy. Then, the specimens with different pre-strain coefficients were stretched by a high-speed tensile machine (HTM) at different strain rates (200 s− 1, 400 s− 1 and 600 s− 1). Digital image correlation (DIC) technique was employed to measure the strains. The results showed that the yield ratio increased significantly with the pre-strain increased. As the pre-strain coefficient increased, high-speed tensile strain limitation decreased and the total tensile strain limitation increased. A modified Johnson-Cook (JC) model considering pre-strain coefficient was proposed. Numerical simulations were performed using LS-DYNA with the modified JC model. The strain field of the specimen taken by the camera agreed well with the simulated strain field.

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
Fig. 16

Similar content being viewed by others

Data availability

The raw/processed data required to reproduce these findings cannot be shared at this time due to technical or time limitations.

References

  1. Seth M, Vohnout VJ, Daehn GS (2005) Formability of steel sheet in high velocity impact. J Mater Process Technol 168(3):390–400

    Article  Google Scholar 

  2. Zia M, Fazli A, Soltanpour M (2017) Warm Electrohydraulic Forming: A Novel High Speed Forming Process. Procedia Eng 207:323–328

    Article  Google Scholar 

  3. Ma H, Huang L, Wu M, Li J (2014) Dynamic Ductility and Fragmentation for Aluminum Alloy Using Electromagnetic Ring Expansion. Procedia Eng 81:787–792

    Article  Google Scholar 

  4. Li G, Deng H, Mao Y, Zhang X, Cui J (2017) Study on AA5182 aluminum sheet formability using combined quasi-static-dynamic tensile processes. J Mater Process Technol 255:373–386

    Article  Google Scholar 

  5. Choi MK, Huh H, Park N (2017) Process design of combined deep drawing and electromagnetic sharp edge forming of DP980 steel sheet. J Mater Process Technol 244:331–343

    Article  Google Scholar 

  6. Fang J, Mo J, Li J (2017) Microstructure difference of 5052 aluminum alloys under conventional drawing and electromagnetic pulse assisted incremental drawing. Mater Charact 129:88–97

    Article  Google Scholar 

  7. Shang J, Daehn G (2011) Electromagnetically assisted sheet metal stamping. J Mater Process Technol 211(5):868–874

    Article  Google Scholar 

  8. Imbert J, Worswick M (2012) Reduction of a pre-formed radius in aluminium sheet using electromagnetic and conventional forming. J Mater Process Technol 212(9):1963–1972

    Article  Google Scholar 

  9. Stiemer M, Unger J, Svendsen B, Blum H (2009) An arbitrary Lagrangian Eulerian approach to the three-dimensional simulation of electromagnetic forming. Comput Methods Appl Mech Eng 198(17):1535–1547

    Article  Google Scholar 

  10. Luo W, Huang L, Li J, Liu X, Wang Z (2014) A novel multi-layer coil for a large and thick-walled component by electromagnetic forming. J Mater Process Technol 214(11):2811–2819

    Article  Google Scholar 

  11. Bagheriasl R, Worswick M, Mckinley J, Simha H (2010) An effective warm forming process; numerical and experimental study. Int J Mater Form 3:219–222

    Article  Google Scholar 

  12. Gao CY, Zhang LC (2012) Constitutive modelling of plasticity of fcc metals under extremely high strain rates. Int J Plasticity 32–33:121–133

    Article  Google Scholar 

  13. Lin YC, Li LT, Fu YX, Jiang YQ (2011) Hot compressive deformation behavior of 7075 Al alloy under elevated temperature. J Mater Sci 47(3):1306–1318

    Article  Google Scholar 

  14. Lin YC, Chen XM, Liu G (2010) A modified Johnson–Cook model for tensile behaviors of typical high-strength alloy steel. Mater Sci Eng A 527(26):6980–6986

    Article  Google Scholar 

  15. Samantaray D, Mandal S, Bhaduri AK (2009) A comparative study on Johnson Cook, modified Zerilli–Armstrong and Arrhenius-type constitutive models to predict elevated temperature flow behavior in modified 9Cr–1Mo steel. Comput Mater Sci 47(2):568–576

    Article  Google Scholar 

  16. Zavinska O, Eijndhoven SJL, Claracq J, Doelder J (2010) Constitutive model parameters estimation from rheotens steady state and resonance characteristics. Int J Mater Form 1:807–810

    Article  Google Scholar 

  17. Etaati A, Dehghani K, Ebrahimi GR, Wang H (2013) Predicting the flow stress behavior of Ni-42.5Ti-3Cu during hot deformation using constitutive equations. Met Mater Int 19(1):5–9

    Article  Google Scholar 

  18. Slycken JV, Verleysen P, Degrieck J, Bouquerel J, De Cooman BC (2007) The effect of silicon, aluminium and phosphor on the dynamic behavior and phenomenological modelling of multiphase TRIP steels. Met Mater Int 13(2):93–101

    Article  Google Scholar 

  19. Chen SR, Gray GT (1996) Constitutive behavior of tantalum and tantalum-tungsten alloys. Metall Mater Trans A 27(10):2994–3006

    Article  Google Scholar 

  20. Zhao Y, Sun J, Li J, Yan Y, Wang P (2017) 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 723:179–187

    Article  Google Scholar 

  21. Jakus A, Fredenburg A, Thadhani N (2012) High-strain-rate behavior of maraging steel linear cellular alloys: Mechanical deformations. Mater Sci Eng A 534:452–458

    Article  Google Scholar 

  22. Li HY, Li YH, Wang XF, Liu JJ, Wu Y (2013) 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 49:493–501

    Article  Google Scholar 

  23. Zhang DN, Shang guan QQ, Xie CJ, Liu F (2015) A modified Johnson–Cook model of dynamic tensile behaviors for 7075-T6 aluminum alloy. J Alloy Compd 619:186–194

    Article  Google Scholar 

  24. Hou QY, Wang JT (2010) A modified Johnson–Cook constitutive model for Mg–Gd–Y alloy extended to a wide range of temperatures. Comput Mater Sci 50(1):147–152

    Article  Google Scholar 

  25. Deng H, Mao Y, Li G, Cui J (2019) A study of electromagnetic free forming in AA5052 using digital image correlation method and FE analysis. J Manuf Process 37:595–605

    Article  Google Scholar 

  26. Ou H, Yang Y, Hu M, Li G, Cui J (2019) Forming study on a tailor rolled blank (TRB) structure- formability evaluation and model verification. J Manuf Process 44:397–407

    Article  Google Scholar 

  27. INTERNATIONAL STANDARD ISO 6892-1: 2009(E) Metallic Materials-Tensile testing-Part 1: Method of test at room temperature

  28. Lin YC, Liu G (2010) A new mathematical model for predicting flow stress of typical high-strength alloy steel at elevated high temperature. Comput Mater Sci 48(1):54–58

    Article  Google Scholar 

  29. Cai J, Wang K, Zhai P, Li F, Yang J (2014) A Modified Johnson-Cook Constitutive Equation to Predict Hot Deformation Behavior of Ti-6Al-4V Alloy. J Mater Eng Perform 24(1):32–44

    Article  Google Scholar 

  30. He A, Xie G, Zhang H, Wang X (2013) 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 52:677–685

    Article  Google Scholar 

  31. Shokry A (2017) A Modified Johnson–Cook Model for Flow Behavior of Alloy 800H at Intermediate Strain Rates and High Temperatures. J Mater Eng Perform 26:5723–5730

    Article  Google Scholar 

  32. Wang YP, Han Cj, Wang C, Li S (2010) A modified Johnson–Cook model for 30Cr2Ni4MoV rotor steel over a wide range of temperature and strain rate. J Mater Sci 46(9):2922–2927

  33. Tan JQ, Zhan M, Liu S, Huang T, Guo J, Yang H (2015) A modified Johnson–Cook model for tensile flow behaviors of 7050-T7451 aluminum alloy at high strain rates. Mater Sci Eng A 631:214–219

    Article  Google Scholar 

Download references

Acknowledgement

This project is supported by the National Natural Science Foundation of China (No. 51975202) and the Natural Science Foundation of Hunan Province (2019JJ30005), the National Key Research and Development Program of Hunan Province (2017GK2090).

Author information

Authors and Affiliations

  1. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, 410082, Changsha, China

    Shuaishuai Yang, Huakun Deng, Guangyao Li & Junjia Cui

  2. Capital Aerospace Machinery Company, 100076, Beijing, China

    Liqiang Sun

Authors
  1. Shuaishuai Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Liqiang Sun
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Huakun Deng
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Guangyao Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Junjia Cui
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Junjia Cui.

Ethics declarations

Conflict of Interest

Conflict of Interest for all authors -None.

Additional information

Publisher's note

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

• Specimens of AA6061-O aluminum alloy with different pre-strain coefficientshave been tested at different high speeds.

• A modified Johnson-Cook model containing pre-strain coefficients (λ) wasproposed. The expression of constitutive model is \(\sigma =\left[ {A+F(B) \cdot {\varepsilon ^n}} \right]\left[ {1+F(C) \cdot \ln {{\dot {\varepsilon }}^*}} \right]\left[ {1+F(D) \cdot \ln (1+\lambda )} \right]\).

• The modified JC model was verified by finite element analysis and experiment.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yang, S., Sun, L., Deng, H. et al. A modified Johnson-Cook model of AA6061-O aluminum alloy with quasi-static pre-strain at high strain rates. Int J Mater Form 14, 677–689 (2021). https://doi.org/10.1007/s12289-020-01556-x

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12289-020-01556-x

Keywords

Search

Navigation