Skip to main content
Log in

Spurious Grain Formation at Cross-Sectional Expansion During Directional Solidification: Influence of Thermosolutal Convection

  • Published:
Journal of Materials Engineering and Performance Aims and scope Submit manuscript

Abstract

Formation of spurious grains during directional solidification (DS) of Al-7 wt.% Si and Al-19 wt.% Cu alloys through an abrupt increase in cross-sectional area has been examined by experiments and by numerical simulations. Stray grains were observed in the Al-19 wt.% Cu samples and almost none in the Al-7 wt.% Si. The locations of the stray grains correlate well where numerical solutions indicate the solute-rich melt to be flowing up the thermal gradient faster than the isotherm velocity. It is proposed that the spurious grain formation occurred by fragmentation of slender tertiary dendrite arms was enhanced by thermosolutal convection. In Al-7 wt.% Si, the dendrite fragments sink in the surrounding melt and get trapped in the dendritic array growing around them, and therefore they do not grow further. In the Al-19 wt.% Cu alloy, on the other hand, the dendrite fragments float in the surrounding melt and some find conducive thermal conditions for further growth and become stray grains.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

Notes

  1. In this article, “wt.%” is dropped, so Al-7 wt.% Si is simply designated as Al-7Si, and so on.

References

  1. M. Rappaz, C.A. Gandin, J.L. Desbiolles, and P. Thevoz, Prediction of Grain Structures in Various Solidification Processes, Metall. Mater. Trans. A, 1996, 27(3), p 695–705

    Article  Google Scholar 

  2. C.A. Gandin and M. Rappaz, A Coupled Finite Element-Cellular Automaton Model for the Prediction of Dendritic Grain Structures in Solidification Processes, Acta Metall. Mater., 1994, 42(7), p 2233–2246

    Article  Google Scholar 

  3. C.A. Gandin, J.L. Desbiolles, M. Rappaz, and P. Thevoz, A Three-Dimensional Cellular Automation-Finite Element Model for the Prediction of Solidification Grain Structures, Metall. Mater. Trans. A, 1999, 30(12), p 3153–3165

    Article  Google Scholar 

  4. A. Kermanpur, M. Rappaz, N. Varahram, and P. Davami, Thermal and Grain-Structure Simulation in a Land-Based Turbine Blade Directionally Solidified with the Liquid Metal Cooling Process, Metall. Mater. Trans. B, 2000, 31(6), p 1293–1304

    Article  Google Scholar 

  5. R.H. Mathiesen, L. Arnberg, P. Bleuet, and A. Somogyi, Crystal Fragmentation and Columnar-to-Equiaxed Transitions in Al-Cu Studied by Synchrotron X-Ray Video Microscopy, Metall. Mater. Trans. A, 2006, 37(8), p 2515–2524

    Article  Google Scholar 

  6. A. Kumar and P. Dutta, A Rayleigh Number Based Dendrite Fragmentation Criterion for Detachment of Solid Crystals During Solidification, J. Phys. D Appl. Phys., 2008, 41(15), p 155501

    Article  Google Scholar 

  7. N. D’souza, P.A. Jennings, X.L. Yang, P.D. Lee, M. McLean, and H.B. Dong, Seeding of Single-Crystal superalloys—Role of Constitutional Undercooling and Primary Dendrite Orientation on Stray-Grain Nucleation and Growth, Metall. Mater. Trans. B, 2005, 36(5), p 657–666

    Article  Google Scholar 

  8. Y. Zheng, M. Wu, A. Kharicha, and A. Ludwig, Incorporation of Fragmentation into a Volume Average Solidification Model, Model. Simul. Mater. Sci. Eng., 2017, 26(1), p 015004

    Article  Google Scholar 

  9. G. Zimmermann, C. Pickmann, M. Hamacher, E. Schaberger-Zimmermann, H. Neumann-Heyme, K. Eckert, and S. Eckert, Fragmentation-Driven Grain Refinement in Directional Solidification of AlCu10wt-% Alloy at Low Pulling Speeds, Acta Mater., 2017, 126, p 236–250

    Article  Google Scholar 

  10. R.H. Mathiesen and L. Arnberg, Stray Crystal Formation in Al-20 wt.% Cu Studied by Synchrotron X-Ray Video Microscopy, Mater. Sci. Eng., A, 2005, 413, p 283–287

    Article  Google Scholar 

  11. H.N. Thi, G. Reinhart, A. Buffet, T. Schenk, N. Mangelinck-Noel, H. Jung, and J. Baruchel, In Situ and Real-Time Analysis of TGZM Phenomena by Synchrotron X-Ray Radiography, J. Cryst. Growth, 2008, 310(11), p 2906–2914

    Article  Google Scholar 

  12. S. Ganesan and D.R. Poirier, Densities of Aluminum-Rich, Metall. Mater. Trans. A, 1987, 18(5), p 721–723

    Article  Google Scholar 

  13. T. Magnusson and L. Arnberg, Density and Solidification Shrinkage of Hypoeutectic Aluminum-Silicon Alloys, Metall. Mater. Trans. A, 2001, 32(10), p 2605–2613

    Article  Google Scholar 

  14. D.R. Poirier, Density, Viscosity, and Diffusion Coefficients in Hypoeutectic Al-Si Liquid Alloys: An Assessment of Available Data, Metall. Mater. Trans. B, 2014, 45(4), p 1345–1354

    Article  Google Scholar 

  15. M. Ghods, L. Johnson, M. Lauer, R.N. Grugel, S.N. Tewari, and D.R. Poirier, Radial Macrosegregation and Dendrite Clustering in Directionally Solidified Al-7Si and Al-19Cu Alloys, J. Cryst. Growth, 2016, 441, p 107–116

    Article  Google Scholar 

  16. M. Ghods, L. Johnson, M. Lauer, R.N. Grugel, S.N. Tewari, and D.R. Poirier, Macrosegregation in Al-7Si Alloy Caused by Abrupt Cross-Section Change During Directional Solidification, J. Cryst. Growth, 2016, 449, p 134–147

    Article  Google Scholar 

  17. M. Ghods, M. Lauer, R.N. Grugel, S.N. Tewari, and D.R. Poirier, Macrosegregation Due to Convection in Al-19Cu Alloy Directionally Solidified Through an Abrupt Expansion in Cross-Section: A Comparison with Al-7Si, J. Mater. Eng. Perform., 2017, 26(10), p 4876–4889

    Article  Google Scholar 

  18. D.R. Poirier, P.J. Nandapurkar, and S. Ganesan, The Energy and Solute Conservation Equations for Dendritic Solidification, Metall. Trans. B, 1991, 22(6), p 889–900

    Article  Google Scholar 

  19. S. Ganesan and D.R. Poirier, Conservation of Mass and Momentum for the Flow of Interdendritic Liquid During Solidification, Metall. Mater. Trans. B, 1990, 21(1), p 173–181

    Article  Google Scholar 

  20. S.D. Felicelli, D.R. Poirier, and J.C. Heinrich, Macrosegregation Patterns in Multicomponent Ni-Base Alloys, J. Cryst. Growth, 1997, 177(1-2), p 145–161

    Article  Google Scholar 

  21. S.D. Felicelli, J.C. Heinrich, and D.R. Poirier, Simulation of Freckles During Vertical Solidification of Binary Alloys, Metall. Mater. Trans. B, 1991, 22(6), p 847–859

    Article  Google Scholar 

  22. S.D. Felicelli, J.C. Heinrich, and D.R. Poirier, Numerical Model for Dendritic Solidification of Binary Alloys, Numer. Heat Transf., 1993, 23(4), p 461–481

    Article  Google Scholar 

  23. M.A. Lauer, Modeling Macrosegregation in Directionally Solidified Aluminum Alloys, Ph.D. dissertation, The University of Arizona, Tucson, AZ, 2015

  24. J.R. Van Hoose, R.N. Grugel, S.N. Tewari, L.N. Brush, R.G. Erdmann, and D.R. Poirier, Observation of Misoriented Tertiary Dendrite Arms During Controlled Directional Solidification in Aluminum-7 wt pct Silicon Alloys, Metall. Mater. Trans. A, 2012, 43(12), p 4724–4731

    Article  Google Scholar 

  25. R. Mehrabian, M. Keane, and M.C. Flemings, Interdendritic Fluid Flow and Macrosegregation; Influence of Gravity, Metall. Mater. Trans., 1970, 1(5), p 1209–1220

    Article  Google Scholar 

  26. D. Ruvalcaba, R.H. Mathiesen, D.G. Eskin, L. Arnberg, and L. Katgerman, In Situ Observations of Dendritic Fragmentation Due to Local Solute-Enrichment During Directional Solidification of an Aluminum Alloy, Acta Mater., 2007, 55(13), p 4287–4292

    Article  Google Scholar 

Download references

Acknowledgments

This work was supported by NASA Grants NX10AV40G and NNX14AM18G. The Al-19% Cu and Al-7% Si alloys for this study were kindly provided by Dr. Men G. Chu at ALCOA Technical Center.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. Ghods.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ghods, M., Lauer, M., Upadhyay, S.R. et al. Spurious Grain Formation at Cross-Sectional Expansion During Directional Solidification: Influence of Thermosolutal Convection. J. of Materi Eng and Perform 27, 3122–3130 (2018). https://doi.org/10.1007/s11665-018-3364-0

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11665-018-3364-0

Keywords

Navigation