Skip to main content
SpringerLink
Log in

A Vacancy Model of Pore Annihilation During Hot Isostatic Pressing of Single Crystals of Nickel-Base Superalloys

  • Published:
Inorganic Materials: Applied Research Aims and scope

Abstract

An improved diffusion model of pore annihilation during hot isostatic pressing of single crystals of nickel-base superalloys is proposed. The model considers dissolution of pores by emission of vacancies and their diffusion sink to low-angle boundaries. The calculation, which takes into account pore size distribution, predicts the kinetics of pore annihilation similar to experimental one.

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

Similar content being viewed by others

References

  1. Epishin, A., Link, T., Bruckner, U., and Portella, P.D., Investigation of porosity in single-crystal nickel-base superalloys, Proc. 7th Liege Conf. on Materials for Advanced Power Engineering, Jülich: Forschungszentrum Jülich, 2002, pp. 217–226.

    Google Scholar 

  2. Link, T., Zabler, S., Epishin, A., Haibel, A., Bansal, M., and Thibault, X., Synchrotron X-ray tomography of porosity in single-crystal nickel base superalloys, Mat. Sci. Eng., A, 2006, vol. 425, pp. 47–54.

    Article  Google Scholar 

  3. Epishin, A., Link, T., Svetlov, I.L., Nolze, G., Neumann, R.S., and Lucas, H., Mechanism of porosity growth during homogenisation in single crystal nickelbased superalloys, Int. J. Mater. Res., 2013, vol. 104, pp. 776–782.

    Article  CAS  Google Scholar 

  4. Lecomte-Beckers, J., Study of microporosity formation in nickel-base superalloys, Metall. Trans. A, 1988, vol. 19, no. 9, pp. 2341–2348.

    Article  Google Scholar 

  5. Anton, D.L. and Giamei, A.F., Porosity distribution and growth during homogenization in single crystals of a nickel-base superalloy, Mater. Sci. Eng., 1985, vol. 76, pp. 173–180.

    Article  CAS  Google Scholar 

  6. Toloraya, V.N., Zuev, A.G., and Svetlov, I.L., Effect of conditions of directed solidification and heat treatment on porosity in creep resistant nickel alloy single crystals, Izv. Akad. Nauk SSSR, Met., 1991, no. 5, pp. 70–76.

    Google Scholar 

  7. Epishin, A.I., Link, T., Fedelich, B., Svetlov, I.L., and Golubovskiy, E.R., Hot isostatic pressing of singlecrystal Ni-based superalloys: mechanism of pore closure and effect on mechanical properties, Proc. 2nd Eur. Symp. on Superalloys and their Applications (EUROSUPERALLOYS 2014), Les Ulis: EDP Sciences, 2014, vol. 14. 08003.

    Google Scholar 

  8. Bokstein, B., Epishin, A., Esin, V., Mendelev, M., Rodin, A., and Zhevnenko, S., Cross diffusion-stress effects, Defect Diffus. Forum, 2007, vol. 264, pp. 79–89.

    Article  CAS  Google Scholar 

  9. Bokstein, B.S., Epishin, A.I., Esin, V.A., Rodin, A.O., Svetlov, I.L., and Link, T., Growth and healing of porosity in single-crystals of nickel-base superalloys, J. Funct. Mater., 2007, vol. 1, no. 5, pp. 162–169.

    Google Scholar 

  10. Epishin, A., Fedelich, B., Link, T., Feldmann, T., and Svetlov, I.L., Pore annihilation in a single-crystal nickel-base superalloy during hot isostatic pressing: Experiment and modelling, Mater. Sci. Eng., A, 2013, vol. 586, pp. 342–349.

    Article  CAS  Google Scholar 

  11. Mujica Roncery, L., Lopez-Galilea, I., Ruttert, B., Huth, S., and Theisen, W., Influence of temperature, pressure, and cooling rate during hot isostatic pressing on the microstructure of an SX Ni-based superalloy, Mater. Des., 2016, vol. 97, pp. 544–552.

    Article  CAS  Google Scholar 

  12. Coble, R.L., Sintering crystalline solids: I. Intermediate and final state diffusion models, J. Appl. Phys., 1961, vol. 32, no. 5, pp. 787–792.

    Article  CAS  Google Scholar 

  13. Volin, T.E. and Balluffi, R.W., Annealing kinetics of voids and the self-diffusion coefficient in aluminium, Phys. Stat. Sol., 1968, vol. 25, pp. 163–173.

    Article  CAS  Google Scholar 

  14. Rosolowski, J.H. and Greskovich, C., Analysis of pore shrinkage by volume diffusion during final stage of sintering, J. Appl. Phys., 1973, vol. 44, no. 4, pp. 1441–1450.

    Article  Google Scholar 

  15. Park, J.-W. and Altstetter, C.J., The diffusion and solubility of oxygen in solid nickel, Metall. Trans. A, 1987, vol. 18, pp. 43–50.

    Article  Google Scholar 

  16. Kowanda, C. and Speidel, M.O., Solubility of nitrogen in liquid and binary Ni—Xi alloys (Xi = Cr, Mo, W, Mn, Fe, Co) under elevated pressure, Scr. Mater., 2003, vol. 48, pp. 1073–1078.

    CAS  Google Scholar 

  17. Balluffi, R.W., Grain boundary diffusion mechanisms in metals, Metall. Trans. A, 1982, vol. 13, pp. 2069–2095.

    Article  CAS  Google Scholar 

  18. King, A.H. and Smith, D.A., Calculation of sink strength and bias for point-defect absorption by dislocations in arrays, Radiat. Eff., 1981, vol. 54, pp. 169–176.

    Article  CAS  Google Scholar 

  19. Jiang, C., Swaminathan, N., Deng, J., Morgan, D., and Szlufarska, I., Effect of grain boundary stresses on sink strength, Mater. Res. Lett., 2014, vol. 2, no. 2, pp. 100–106.

    Article  CAS  Google Scholar 

  20. Bruckner, U., Epishin, A., and Link, T., Local x-ray diffraction analysis of the structure of dendrites in single-crystal nickel-base superalloys, Acta Mater., 1997, vol. 45, no. 2, pp. 5223–5231.

    Article  CAS  Google Scholar 

  21. Bruckner, U., Epishin, A., Link, T., and Dressel, K., The influence of the dendritic structure on the γ/γ'—lattice misfit in the single-crystal nickel-base superalloy CMSX-4, Mater. Sci. Eng., A, 1998, vol. 247, pp. 23–31.

    Article  Google Scholar 

  22. Epishin, A.I., Rodin, A.O., Bokstein, B.S., Oder, G., Link, T., and Svetlov, I.L., Interdiffusion in binary Ni–Re alloys, Phys. Met. Metallogr., 2015, vol. 116, pp. 175–181.

    Article  Google Scholar 

  23. Epishin, A.I. and Svetlov, I.L., Evolution of pore morphology in single-crystals of nickel-base superalloys, Inorg. Mater.: Appl. Res., 2016, vol. 7, no. 1, pp. 45–52.

    Article  Google Scholar 

  24. Tyson, W.R. and Miller, W.A., Surface free energies of solid metals estimation from liquid surface tension measurements, Surf. Sci., 1977, vol. 62, pp. 267–276.

    Article  CAS  Google Scholar 

  25. Vitos, L., Ruban, A.V., Skriver, H.L., and Kollár, J., The surface energy of metals, Surf. Sci., 1998, vol. 411, pp. 186–202.

    Article  CAS  Google Scholar 

  26. Brillo, J. and Egry, I., Surface tension of nickel, copper, iron and their binary alloys, J. Mater. Sci., 2005, vol. 40, pp. 2213–2216.

    Article  CAS  Google Scholar 

  27. Aqra, F. and Ayyad, A., Surface energies of metals in both liquid and solid states, Appl. Surf. Sci., 2011, vol. 257, pp. 6372–6379.

    Article  CAS  Google Scholar 

  28. Giuranno, D., Amore, S., Novakovich, R., and Ricci, E., Surface tension and density of RENE N5 and RENE 90 Ni-base superalloys, J. Mater. Sci., 2015, vol. 50, pp. 3763–3771.

    Article  CAS  Google Scholar 

  29. Wang, H. and Li, Z., Diffusive shrinkage of a void within a grain of a stressed polycrystal, J. Mech. Phys. Solids, 2003, vol. 51, pp. 961–976.

    Article  Google Scholar 

  30. Cuitiño, A.M. and Ortiz, M., Ductile fracture by vacancy condensation in f. c. c. single crystals, Acta Mater., 1996, vol. 44, pp. 427–436.

    Article  Google Scholar 

  31. Epishin, A., Link, T., Brückner, U., and Fedelich, B., Residual stresses in the dendritic structure of single crystal nickel-based superalloys, Phys. Met. Metallogr., 2005, vol. 100, no. 2, pp. 104–112.

    CAS  Google Scholar 

  32. Engström, A. and Ågren, J., Assessment of diffusional mobilities in face-centered cubic Ni–Cr–Al alloys, Z. Metallkd., 1996, vol. 87, pp. 92–97.

    Google Scholar 

  33. Liang, G., US Patent 6808367, 2004.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Technical University of Berlin, Berlin, Germany

    A. I. Epishin

  2. National Technological University MISiS, Moscow, Russia

    B. S. Bokstein

  3. All-Russian Scientific Research Institute of Aviation Materials, Moscow, Russia

    I. L. Svetlov

  4. Federal Institute for Materials Research and Testing, Berlin, Germany

    B. Fedelich & T. Feldmann

  5. Laboratory of Microstructure Studies and Mechanics of Materials, CNRS/ONEPA, Châtillon, France

    Y. Le Bouar, A. Ruffini & A. Finel

  6. University of Toulouse, Toulouse, France

    B. Viguier & D. Poquillon

Authors
  1. A. I. Epishin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. B. S. Bokstein
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. I. L. Svetlov
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. B. Fedelich
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. T. Feldmann
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Y. Le Bouar
    View author publications

    You can also search for this author in PubMed Google Scholar

  7. A. Ruffini
    View author publications

    You can also search for this author in PubMed Google Scholar

  8. A. Finel
    View author publications

    You can also search for this author in PubMed Google Scholar

  9. B. Viguier
    View author publications

    You can also search for this author in PubMed Google Scholar

  10. D. Poquillon
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. I. Epishin.

Additional information

Original Russian Text © A.I. Epishin, B.S. Bokstein, I.L. Svetlov, B. Fedelich, T. Feldmann, Y. Le Bouar, A. Ruffini, A. Finel, B. Viguier, D. Poquillon, 2017, published in Materialovedenie, 2017, No. 5, pp. 3–12.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Epishin, A.I., Bokstein, B.S., Svetlov, I.L. et al. A Vacancy Model of Pore Annihilation During Hot Isostatic Pressing of Single Crystals of Nickel-Base Superalloys. Inorg. Mater. Appl. Res. 9, 57–65 (2018). https://doi.org/10.1134/S2075113318010100

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S2075113318010100

Keywords

Search

Navigation