Skip to main content
SpringerLink
Log in

Phase-Field Modeling of θ′ Precipitation Kinetics in W319 Alloys

  • Conference paper
  • First Online:
Book cover Proceedings of the 4th World Congress on Integrated Computational Materials Engineering (ICME 2017)

Part of the book series: The Minerals, Metals & Materials Series ((MMMS))

  • 1678 Accesses

Abstract

Understanding and predicting the morphology, kinetics and hardening effects of precipitates are critical in improving the mechanical properties of Al-Cu-based alloys through controlling the temperature and duration of the heat treatment process. In this work, we present a comprehensive phase-field framework for simulating the kinetics of θ′ precipitates in W319 alloys, integrating the thermodynamic and diffusion mobility databases of the system, the key precipitate anisotropic energy contributions from literature and first-principles calculations, as well as a nucleation model based on the classical nucleation theory. By systematically performing phase-field simulations, assuming the precipitate peak number densities determined from experiments, we optimize the model parameters to obtain the best possible match to the average diameters, thicknesses and volume fractions of precipitates from experimental measurements at 190, 230 and 260 °C. With these parameters available, the phase-field simulations can be performed at other aging temperatures. The possible extensions of the current phase-field model for more accurate prediction of the precipitate behaviors in W319 alloys will also be discussed.

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

Access this chapter

Log in via an institution

Institutional subscriptions

References

  1. C. Laird, H.I. Aaronson, Structures and migration kinetics of α-θ′ boundaries in Al-4%Cu: I. Interfacial structures. Trans. Metall. Soc. AIME 242(7), 1393 (1968)

    Google Scholar 

  2. J.L. Murray, The aluminium-copper system. Int. Met. Rev. 30(5), 211–233 (1985)

    Google Scholar 

  3. C. Ravi, C. Wolverton, V. Ozoliņš, Predicting metastable phase boundaries in Al-Cu alloys from first-principles calculations of free energies: The role of atomic vibrations. Europhys. Lett. (EPL) 73(5), 719–725 (2006)

    Article  Google Scholar 

  4. V. Vaithyanathan, C. Wolverton, L.Q. Chen, Multiscale modeling of θ′ precipitation in Al-Cu binary alloys. Acta Mater. 52(10), 2973–2987 (2004)

    Article  Google Scholar 

  5. A. Biswas, D.J. Siegel, D.N. Seidman, Simultaneous segregation at coherent and semicoherent heterophase interfaces. Phys. Rev. Lett. 105(7), 076102 (2010)

    Article  Google Scholar 

  6. L. Bourgeois, C. Dwyer, M. Weyland, J.-F. Nie, B.C. Muddle, Structure and energetics of the coherent interface between the θ′ precipitate phase and aluminium in Al–Cu. Acta Mater. 59(18), 7043–7050 (2011)

    Article  Google Scholar 

  7. L. Bourgeois, N.V. Medhekar, A.E. Smith, M. Weyland, J.F. Nie, C. Dwyer, Efficient atomic-scale kinetics through a complex heterophase interface. Phys. Rev. Lett. 111(4), 046102 (2013)

    Article  Google Scholar 

  8. V. Vaithyanathan, C. Wolverton, L.Q. Chen, Multiscale modeling of precipitate microstructure evolution. Phys. Rev. Lett. 88(12), 125503 (2002)

    Article  Google Scholar 

  9. J.Y. Hwang, R. Banerjee, H.W. Doty, M.J. Kaufman, The effect of Mg on the structure and properties of Type 319 aluminum casting alloys. Acta Mater. 57(4), 1308–1317 (2009)

    Article  Google Scholar 

  10. W.M. Stobbs, G.R. Purdy, The elastic accommodation of semi-coherent-θ′ in Al-4wt.%Cu alloy. Acta Metall. 26, 1069–1081 (1978)

    Article  Google Scholar 

  11. A. Biswas, D. Sen, S.K. Sarkar, Sarita, S. Mazumder, D.N. Seidman, Temporal evolution of coherent precipitates in an aluminum alloy W319: A correlative anisotropic small angle X-ray scattering, transmission electron microscopy and atom-probe tomography study. Acta Mater. 116, 219–230 (2016)

    Google Scholar 

  12. D. Mitlin, V. Radmilovic, J.W. Morris Jr., Catalyzed Precipitation in Al-Cu-Si. Metall. Mater. Trans. A 31A, 2697–2711 (2000)

    Article  Google Scholar 

  13. Abaqus. Providence, RI, USA (2013)

    Google Scholar 

  14. S. Hu, M. Baskes, M. Stan, L. Chen, Atomistic calculations of interfacial energies, nucleus shape and size of θ′ precipitates in Al-Cu alloys. Acta Mater. 54(18), 4699–4707 (2006)

    Article  Google Scholar 

  15. S.Y. Hu, J. Murray, H. Weiland, Z.K. Liu, L.Q. Chen, Thermodynamic description and growth kinetics of stoichiometric precipitates in the phase-field approach. Calphad 31(2), 303–312 (2007)

    Article  Google Scholar 

  16. R. Martinez, D. Larouche, G. Cailletaud, I. Guillot, D. Massinon, Simulation of the concomitant process of nucleation-growth-coarsening of Al2Cu particles in a 319 foundry aluminum alloy. Modell. Simul. Mater. Sci. Eng. 23(4), 045012 (2015)

    Article  Google Scholar 

  17. W. Wang, J.L. Murray, S.Y. Hu, L.Q. Chen, H. Weiland, Modeling of Plate-like Precipitates in Aluminum Alloys-Comparison between Phase Field and Cellular Automaton Methods. J. Phase Equilib. Diffus. 28(3), 258–264 (2007)

    Article  Google Scholar 

  18. L.-Q. Chen, Phase-field Models for Microstructure Evolution. Annu. Rev. Mater. Res. 32, 113–140 (2002)

    Article  Google Scholar 

  19. Y. Du, Y.A. Chang, B. Huang, W. Gong, Z. Jin, H. Xu, Z. Yuan, Y. Liu, Y. He, F.Y. Xie, Diffusion coefficients of some solutes in fcc and liquid Al: critical evaluation and correlation. Mater. Sci. Eng. A 363(1–2), 140–151 (2003)

    Article  Google Scholar 

  20. E. Kozeschnik, I. Holzer, B. Sonderegger, On the Potential for Improving Equilibrium Thermodynamic Databases with Kinetic Simulations. J. Phase Equilib. Diffus. 28(1), 64–71 (2007)

    Article  Google Scholar 

Download references

Acknowledgements

The authors acknowledge the financial support from the URP program of the Ford Motor Company. The authors are also grateful for Dr. Shannon Weakley-Bollin and Dr. John Allison for providing the TEM images and the useful discussions.

Author information

Authors and Affiliations

  1. Department of Materials Science and Engineering, The Pennsylvania State University, University Park, Park, PA, 16802, USA

    Yanzhou Ji & Long-Qing Chen

  2. Ford Research and Innovation Center, Ford Motor Company, Dearborn, MI, 48124, USA

    Bita Ghaffari & Mei Li

Authors
  1. Yanzhou Ji
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Bita Ghaffari
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Mei Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Long-Qing Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yanzhou Ji .

Editor information

Editors and Affiliations

  1. Thermo Calc Software Inc., McMurray, Pennsylvania, USA

    Paul Mason

  2. Naval Surface Warfare Center, Fairfax, Virginia, USA

    Charles R. Fisher

  3. Boeing, Seattle, Washington, USA

    Ryan Glamm

  4. University of Florida, Gainesville, Florida, USA

    Michele V. Manuel

  5. MICRESS Group at ACCESS e.V., Aachen, Germany

    Georg J. Schmitz

  6. Kanpur, India

    Amarendra K. Singh

  7. Purdue University, West Lafayette, Indiana, USA

    Alejandro Strachan

Rights and permissions

Reprints and permissions

Copyright information

© 2017 The Minerals, Metals & Materials Society

About this paper

Cite this paper

Ji, Y., Ghaffari, B., Li, M., Chen, LQ. (2017). Phase-Field Modeling of θ′ Precipitation Kinetics in W319 Alloys. In: Mason, P., et al. Proceedings of the 4th World Congress on Integrated Computational Materials Engineering (ICME 2017). The Minerals, Metals & Materials Series. Springer, Cham. https://doi.org/10.1007/978-3-319-57864-4_27

Download citation

Publish with us

Policies and ethics

Search

Navigation