Skip to main content
Log in

Prediction of Shrinkage Pore Volume Fraction Using a Dimensionless Niyama Criterion

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

Abstract

A method is presented to use a dimensionless form of the well-known Niyama criterion to directly predict the amount of shrinkage porosity that forms during solidification of metal alloy castings. The main advancement offered by this method is that it avoids the need to know the threshold Niyama value below which shrinkage porosity forms; such threshold values are generally unknown and alloy dependent. The dimensionless criterion accounts for both the local thermal conditions (as in the original Niyama criterion) and the properties and solidification characteristics of the alloy. Once a dimensionless Niyama criterion value is obtained from casting simulation results, the corresponding shrinkage pore volume fraction can be determined knowing only the solid fraction-temperature curve and the total solidification shrinkage of the alloy. Curves providing the shrinkage pore volume percentage as a function of the dimensionless Niyama criterion are given for WCB steel, aluminum alloy A356, and magnesium alloy AZ91D. The present method is used in a general-purpose casting simulation software package to predict shrinkage porosity in three-dimensional (3-D) castings. Comparisons between simulated and experimental shrinkage porosity results for a WCB steel plate casting demonstrate that this method can reasonably predict shrinkage. Additional simulations for magnesium alloy AZ91D illustrate that this method is applicable to a wide variety of alloys and casting conditions.

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
Fig. 8
Fig. 9

Similar content being viewed by others

Notes

  1. MAGMASOFT is a registered trademark of MAGMAGmbH, Aachen, Germany.

References

  1. E. Niyama, T. Uchida, M. Morikawa, S. Saito: AFS Cast Met. Res. J., 1982, vol. 7, pp. 52–63

    Google Scholar 

  2. K.D. Carlson, S. Ou, R.A. Hardin, C. Beckermann: Metall. Mater. Trans. B, 2002, vol. 33B, pp. 731–40

    Article  CAS  Google Scholar 

  3. K. Carlson, S. Ou, R. Hardin, C. Beckermann: 2001 SFSA Technical and Operating Conf., SFSA, Crystal Lake, IL, 2001

    Google Scholar 

  4. K.D. Carlson, S. Ou, C. Beckermann: Metall. Mater. Trans. B, 2005, vol. 36B, pp. 843–56

    Article  CAS  Google Scholar 

  5. F. Chiesa, B. Duchesne, G. Bournival, G. Morin: Am. Foundrymen’s Soc. Trans., 2006, vol. 114, pp. 667–81

    CAS  Google Scholar 

  6. G.K. Sigworth, C. Wang: Metall. Trans. B, 1993, vol. 24B, pp. 349–64

    Article  ADS  CAS  Google Scholar 

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

    Article  ADS  CAS  Google Scholar 

  8. S. Ou, K.D. Carlson, C. Beckermann: Metall. Mater. Trans. B, 2005, vol. 36B, pp. 97–116

    Article  CAS  Google Scholar 

  9. Y.W. Lee, E. Chang, C.F. Chieu: Metall. Trans. B, 1990, vol. 21B, pp. 715–22

    Article  ADS  CAS  Google Scholar 

  10. J. Dantzig and M. Rappaz: Solidification, 1st ed., EPFL Press, Lausanne, Switzerland, in press

  11. J. Miettinen: Metall. Mater. Trans. B, 1997, vol. 28B, pp. 281–97

    Article  ADS  CAS  Google Scholar 

  12. JMatPro v.4.0, Sente Software Ltd., Surrey Technology Centre, Surrey GU2 7YG, United Kingdom

  13. MAGMASOFT v4.5, MAGMA GmbH, Aachen, Germany

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Christoph Beckermann.

Additional information

Manuscript submitted July 28, 2008.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Carlson, K.D., Beckermann, C. Prediction of Shrinkage Pore Volume Fraction Using a Dimensionless Niyama Criterion. Metall Mater Trans A 40, 163–175 (2009). https://doi.org/10.1007/s11661-008-9715-y

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11661-008-9715-y

Keywords

Navigation