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Journal of Materials Engineering and Performance

, Volume 28, Issue 1, pp 404–413 | Cite as

Constitutive Model Over Wide Temperature Range and Considering Negative-to-Positive Strain Rate Sensitivity for As-Quenched AA2219 Sheet

  • Z. X. Li
  • M. ZhanEmail author
  • X. G. Fan
  • F. Ma
  • J. W. Wang
Article
  • 70 Downloads

Abstract

An accurate constitutive model over a wide temperature range is very important for research on the quenching process. In this study, uniaxial tension tests of an as-quenched AA2219 aluminum alloy sheet were first conducted at different strain rates (10−3-10−1 s−1) over a wide temperature range (298-773 K). The tension results showed an increase in the strain rate sensitivity (SRS) from negative to positive with temperature. Different increasing trends were observed in the low-temperature range (298-473 K), high-temperature range (573-773 K), and transitive-temperature range (473-573 K). In order to more accurately capture these variations in the SRS, the existing function that considers the negative-to-positive SRS was modified by adding a coupling effect term for the temperature and strain rate. The temperature sensitivity increased linearly and exponentially with the strain and temperature, respectively, and also had obviously different tendencies in the low- and high-temperature ranges. The new coupling effect term for the temperature and strain was constructed to consider these effects. Finally, a phenomenological constitutive model was proposed, in which the negative-to-positive SRS and the coupling effects of the strain and temperature were considered. This constitutive model could predict the flow stress of the as-quenched AA2219 with very good correlation over a wide temperature range.

Keywords

as-quenched AA2219 sheet constitutive model negative-to-positive strain rate sensitivity temperature sensitivity 

Notes

Acknowledgments

The authors would like to acknowledge the support from the National Science Fund for Distinguished Young Scholars of China (Project 51625505), Key Program Project of the Joint Fund of Astronomy and National Natural Science Foundation of China (Project U1537203), and the Research Fund of the State Key Laboratory of Solidification Processing (Projects 118-TZ-2015, 97-QZ-2014, and 90-QP-2013).

References

  1. 1.
    R. Grilli, M.A. Baker, J.E. Castle, B. Dunn, and J.F. Watts, Localized Corrosion of a 2219 Aluminium Alloy Exposed to a 3.5% NaCl Solution, Corros. Sci., 2010, 52, p 2855–2866CrossRefGoogle Scholar
  2. 2.
    W. Xu, J. Liu, G. Luan, and C. Dong, Microstructure and Mechanical Properties of Friction Stir Welded Joints in 2219-T6 Aluminum Alloy, Mater. Des., 2009, 30, p 3460–3467CrossRefGoogle Scholar
  3. 3.
    M. Koç, J. Culp, and T. Altan, Prediction of Residual Stresses in Quenched Aluminum Blocks and Their Reduction Through Cold Working Processes, J. Mater. Process. Technol., 2006, 174, p 342–354CrossRefGoogle Scholar
  4. 4.
    X. Yang, J. Zhu, Z. Lai, Y. Liu, D. He, and Z. Nong, Finite Element Analysis of Quenching Temperature Field, Residual Stress and Distortion in A357 Aluminum Alloy Large Complicated Thin-Wall Workpieces, Trans. Nonferr. Met. Soc. China, 2013, 23, p 1751–1760CrossRefGoogle Scholar
  5. 5.
    Y.C. Lin and X.M. Chen, A Critical Review of Experimental Results and Constitutive Descriptions for Metals and Alloys in Hot Working, Mater. Des., 2011, 32, p 1733–1759CrossRefGoogle Scholar
  6. 6.
    A.V.D. Beukel, Theory of the Effect of Dynamic Strain Aging on Mechanical Properties, Phys. Stat. Sol., 1975, 30, p 197–206CrossRefGoogle Scholar
  7. 7.
    J.M. Robinson and M.P. Shaw, Microstructural and Mechanical Influences on Dynamic Strain Aging Phenomena, Int. Mater. Rev., 1994, 39, p 113–122CrossRefGoogle Scholar
  8. 8.
    A.S. Khan and H. Liu, Variable Strain Rate Sensitivity in an Aluminum Alloy: Response and Constitutive Modeling, Int. J. Plast., 2012, 36, p 1–14CrossRefGoogle Scholar
  9. 9.
    R.C. Picu, G. Vincze, F. Ozturk, J.J. Gracio, F. Barlat, and A.M. Maniatty, Strain Rate Sensitivity of the Commercial Aluminum Alloy AA5182-O, Mater. Sci. Eng. A, 2005, 390, p 334–343CrossRefGoogle Scholar
  10. 10.
    W.A. Curtin, D.L. Olmsted, and L.G. Hector, A Predictive Mechanism for Dynamic Strain Ageing in Aluminium-Magnesium Alloys, Nat. Mater., 2006, 5, p 875CrossRefGoogle Scholar
  11. 11.
    F. Kabirian, A.S. Khan, and A. Pandey, Negative to Positive Strain Rate Sensitivity in 5xxx Series Aluminum Alloys: Experiment and Constitutive Modeling, Int. J. Plast., 2014, 55, p 232–246CrossRefGoogle Scholar
  12. 12.
    M. Kolar, K.O. Pedersen, S. Gulbrandsen-Dahl, and K. Marthinsen, Combined Effect of Deformation and Artificial Aging on Mechanical Properties of Al-Mg-Si Alloy, Trans. Nonferr. Met. Soc. China, 2012, 22, p 1824–1830CrossRefGoogle Scholar
  13. 13.
    W.S. Lee and C.F. Lin, Plastic Deformation and Fracture Behaviour of Ti-6Al-4V Alloy Loaded with High Strain Rate Under Various Temperatures, Mater. Sci. Eng. A, 1998, 241, p 48–59CrossRefGoogle Scholar
  14. 14.
    A.A Morrone, Strain Rate and Temperature Effects During Dynamic Deformation of Polyscrytalline and Monicrystalline High Purity Aluminum Including TEM Stydies. Ph.D. Thesis, Brown University, 1986, p. 34Google Scholar
  15. 15.
    U.F. Kocks and H. Mecking, Physics and Phenomenology of Strain Hardening: The FCC Case, Prog. Mater. Sci., 2003, 48, p 171–273CrossRefGoogle Scholar
  16. 16.
    W. Wang, G. Wang, Y. Hu, G. Guo, T. Zhou, and Y. Rong, Temperature-Dependent Constitutive Behavior with Consideration of Microstructure Evolution for As-Quenched Al-Cu-Mn Alloy, Mater. Sci. Eng. A, 2016, 678, p 85–92CrossRefGoogle Scholar
  17. 17.
    M.L. Newman, Modeling the Behavior of a Type-319 Aluminum Alloy During Quenching. Ph.D. Thesis, University of Illinois Urbana-Champaign (2002)Google Scholar
  18. 18.
    A. Rusinek and J.A. Rodríguez-Martínez, Thermo-Viscoplastic Constitutive Relation for Aluminium Alloys, Modeling of Negative Strain Rate Sensitivity and Viscous Drag Effects, Mater. Des., 2009, 30, p 4377–4390CrossRefGoogle Scholar
  19. 19.
    P.G. Mccormigk, A Model for the Portevin–Le Chatelier Effect in Substitutional Alloys, Acta Metall., 1972, 20, p 351–354CrossRefGoogle Scholar
  20. 20.
    H. Aboulfadl, J. Deges, P. Choi, and D. Raabe, Dynamic Strain Aging Studied at the Atomic Scale, Acta Metall., 2015, 86, p 34–42Google Scholar
  21. 21.
    R.C. Picu, A Mechanism for the Negative Strain-Rate Sensitivity of Dilute Solid Solutions, Acta Mater., 2004, 52, p 3447–3458CrossRefGoogle Scholar
  22. 22.
    H. Shin and J.B. Kim, A Phenomenological Constitutive Equation to Describe Various Flow Stress Behaviors of Materials in Wide Strain Rate and Temperature Regimes, J. Eng. Mater. Technol. Trans., 2010, 132, p 179–181Google Scholar
  23. 23.
    W.F. Hosford and R.M. Caddell, Metal Forming: Mechanics and Metallurgy, 4th ed., Cambridge University Press, New York, 1983, p 36Google Scholar
  24. 24.
    F.J. Zerilli and R.W. Armstrong, Dislocation-Mechanics-Based Constitutive Relations for Material Dynamics Calculations, J. Appl. Phys., 1987, 61, p 1816–1825CrossRefGoogle Scholar
  25. 25.
    D. Samantaray, S. Mandal, U. Borah, A.K. Bhaduri, and P.V. Sivaprasad, A Thermo-Viscoplastic Constitutive Model to Predict Elevated Temperature Flow Behaviour in a Titanium Modified Austenitic Stainless Steel, Mater. Sci. Eng. A, 2009, 526, p 1–6CrossRefGoogle Scholar
  26. 26.
    D. Samantaray, S. Mandal, and A.K. Bhaduri, Constitutive Analysis to Predict High-Temperature Flow Stress in Modified 9Cr-1Mo (P91) Steel, Mater. Des., 2010, 31, p 981–984CrossRefGoogle Scholar

Copyright information

© ASM International 2018

Authors and Affiliations

  • Z. X. Li
    • 1
  • M. Zhan
    • 1
    Email author
  • X. G. Fan
    • 1
  • F. Ma
    • 2
  • J. W. Wang
    • 1
  1. 1.State Key Laboratory of Solidification Processing, School of Materials Science and EngineeringNorthwestern Polytechnical UniversityXi’anPeople’s Republic of China
  2. 2.China Aerospace Science and Technology Corporation, Changzheng Machinery FactoryChengduPeople’s Republic of China

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