Skip to main content
Log in

Multiphase-Field Modeling of Micropore Formation in Metallic Alloys

  • Communication
  • Published:
Metallurgical and Materials Transactions A Aims and scope Submit manuscript

Abstract

A 3D phase-field (PhF) model has been developed to study the formation of micropores constrained to grow within a well-developed solid network. The model accounts for the equilibrium condition at triple (solid–liquid–pore) lines and the partitioning of dissolved gases. Growth of a micropore in a representative volume element taken from X-ray tomography was simulated, which offered the possibility to study the pore evolution in temporal and spatial resolutions that are not possible in experiments.

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

Notes

  1. ISD plots, first introduced by the group of Voorhees and coworkers is a two-dimensional probability contour plot, P(κ 1, κ 2), which measures the probability of having a surface patch, with its principal curvatures falling in the range [κ 1 − Δκ/2, κ + Δκ/2] and [κ 2 − Δκ/2, κ 2 + Δκ/2]. Δκ is the binning size used for calculating the ISD plot.

References

  1. J.A. Dantzig, M. Rappaz: Solidification. 1st ed., EPFL Press, Lausanne, 2009.

    Book  Google Scholar 

  2. A. Sabau, S. Viswanathan, Metall. Mater. Trans. B, 2002, vol. 33B, pp. 243–55.

    Article  Google Scholar 

  3. C. Pequet, M. Rappaz and M. Gremaud: Metall. Mater. Trans. A, 2002, vol. 33A, pp. 2095–106.

    Article  Google Scholar 

  4. P.D. Lee and J.D. Hunt: Conference on Modeling of Casting, Welding and Advanced Solidification Processes VII, TMS, Warrendale, PA, 1995, p. 585.

  5. R.C. Atwood, S. Sridhar, W. Zhang, P.D. Lee: Acta Mater., 2000, vol. 48, pp. 405-417.

    Article  Google Scholar 

  6. K.D. Carlson, Z. Lin, C. Beckermann: Metall. Mater. Trans. A, 2007, vol. 38A, pp. 541–55.

    Article  Google Scholar 

  7. K. Kubo, R. Pehlke: Metall. Trans. B, 1985, vol. 16B, pp. 359–66.

    Article  Google Scholar 

  8. G. Couturier and M. Rappaz: Conference on Modeling of Casting, Welding and Advanced Solidification Processes, TMS Publ., Warrendale, PA, 2006, p. 143.

  9. D.R. Poirier, K. Yeum, A.L. Maples: Metall. Trans. A, 1987, vol. 18A, pp. 1979–87.

    Article  Google Scholar 

  10. M. Felberbaum, M. Rappaz: Acta Mater., 2011, vol. 59, pp. 6849- 6860.

    Article  Google Scholar 

  11. R. Mendoza, J. Alkemper, P. Voorhees: Metall. Mater. Trans. A, 2003, vol. 34A, pp. 481–89.

    Article  Google Scholar 

  12. W.J. Boettinger, J.A. Warren, C. Beckermann, A. Karma. Annual Review of Materials Research, 2003, vol. 32, pp.163-194.

    Article  Google Scholar 

  13. H. Meidani, A. Jacot: Acta Mater., 2011, vol. 59, pp. 3032-3040.

    Article  Google Scholar 

  14. H. Meidani, J.L. Desbiolles, A. Jacot, M. Rappaz : Acta Mater., 2012, vol. 60, pp. 2518-2527.

    Article  Google Scholar 

  15. C.A. Schneider, W.S. Rasband, K.W. Eliceiri: Nature Methods, 2012, vol. 9, pp. 671-675.

    Article  Google Scholar 

Download references

The authors would like to thank the Swiss Competence Centre for Materials Science and Technology (CCMX) and partner companies, Asulab, Constellium, Kugler Bimetal, Novelis, Rolex and Varinor, within the thematic area ‘‘Multi-scale, multi-phenomena modeling of metallic systems’’ for funding this research.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hossein Meidani.

Additional information

Manuscript submitted April 14, 2014.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Meidani, H., Jacot, A. & Rappaz, M. Multiphase-Field Modeling of Micropore Formation in Metallic Alloys. Metall Mater Trans A 46, 23–26 (2015). https://doi.org/10.1007/s11661-014-2647-9

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11661-014-2647-9

Keywords

Navigation