Abstract
Porosity is one of the most common defects to degrade the mechanical properties of aluminum alloys. Prediction of pore size, therefore, is critical to optimize the quality of castings. Moreover, to the design engineer, knowledge of the inherent pore population in a casting is essential to avoid potential fatigue failure of the component. In this work, the size distribution of the porosity was modeled based on the assumptions that the hydrogen pores are nucleated heterogeneously and that the nucleation site distribution is a Gaussian function of hydrogen supersaturation in the melt. The pore growth is simulated as a hydrogen-diffusion-controlled process, which is driven by the hydrogen concentration gradient at the pore liquid interface. Directionally solidified A356 (Al-7Si-0.3Mg) alloy castings were used to evaluate the predictive capability of the proposed model. The cast pore volume fraction and size distributions were measured using X-ray microtomography (XMT). Comparison of the experimental and simulation results showed that good agreement could be obtained in terms of both porosity fraction and size distribution. The model can effectively evaluate the effect of hydrogen content, heterogeneous pore nucleation population, cooling conditions, and degassing time on microporosity formation.
Similar content being viewed by others
Notes
SCANCO MEDICAL MICRO-CT is a trademark of SCANCO USA, Inc., Southeastern, PA.
AMIRA is a trademark of Visage Imaging GmbH, Berlin, Germany.
References
A.A. Dabaye, R.X. Xu, B.P. Du, and T.H. Topper: Int. J. Fatigue, 1996, vol. 18 (2), pp. 95–104.
X. Zhu, J.Z. Yi, J.W. Jones, and J.E. Allison: Metall. Mater. Trans. A, 2007, vol. 38A, pp. 1111–23.
O. Lashkari, L. Yao, S. Cockcroft, and D. Maijer: Metall. Mater. Trans. A, 2009, vol. 40A, pp. 991–99.
G. Nicoletto, G. Anzelotti, and R. Konecna: Procedia Eng., 2010, vol. 2, pp. 547–54.
H.R. Ammar, A.M. Samuel, and F.H. Samuel: Mater. Sci. Eng. A, 2008, vol. 473, pp. 65–75.
Q.G. Wang, D. Apelian, and D.A. Lados: J. Light Met., 2001, vol. 1, pp. 73–84.
K. Gall, N. Yang, M. Horstemeyer, D.L. McDowell, and J. Fan: Fatigue Fract. Eng. Mater. Struct., 2000, vol. 23, pp. 159–72.
W. Ludwig, J.Y. Buffière, S. Savelli, and P. Cloetens: Acta Mater., 2003, vol. 51, pp. 585–98.
P. Li, P.D. Lee, D.M. Maijer, and T.C. Lindley: Acta Mater., 2009, vol. 57, pp. 3539–48.
P.D. Lee, A. Chirazi, and D. See: J. Light Met., 2001, vol. 1, pp. 15–30.
P.D. Lee and J.D. Hunt: Acta Mater., 1997, vol. 45, pp. 4155–69.
P.D. Lee and J.D. Hunt: Modeling of Casting, Welding, and Advanced Solidification Processes VII, Warrendale, PA, 1995, pp. 585–92.
R.C. Atwood and P.D. Lee: Modeling of Casting Welding and Advanced Solidification Processes IX, Aachen, Germany, 2000, pp. 2–9.
L. Yao, E. Khajeh, S.L. Cockcroft, and D.M. Maijer: Modeling of Casting, Welding and Advanced Solidification Processes XII, Vancouver, Canada, 2009, pp. 385–92.
S. Thompson, S.L. Cockcroft, and M.A. Wells: Mater. Sci. Technol., 2004, vol. 20, pp. 194–200.
M. Massoud: Engineering Thermofluids: Thermodynamics, Fluid Mechanics, and Heat Transfer, Springer, New York, NY, 2005, pp. 631–39.
J. Pryde and C.G. Titcomb: J. Phys. C: Solid State Phys., 1972, vol. 5, pp. 1293–1300.
P. Anyalebechi: Scripta Metall. Mater., 1995, pp. 1209–16.
H.B. Aaron, D. Fainstein, and G. Kotler: J. Appl. Phys., 1970, vol. 41, pp. 4404–10.
K.D. Carlson, Zhiping Lin, and C. Beckermann: Metall. Mater. Trans. B, 2007, vol. 38B, pp. 541–55.
S.V. Akhonin, N.P. Trigub, V.N. Zamkov, and S.L. Semiatin: Metall. Mater. Trans. B, 2003, vol. 34B, pp. 447–54.
W. Kurz and D.J. Fisher: Fundamentals of Solidification, Trans Tech Publications, Aedermannsdorf, Switzerland, 1986, pp. 165–66.
K. Tynelius, J.F. Major, and D. Apelian: AFS Trans., 1994, vol. 101, pp. 401–13.
R. Fuoco, H. Goldenstein, and J.E. Gruzleski: AFS Trans., 1994, vol. 102, pp. 297–306.
D. Emadi, J.E. Gruzleski, and M. Pekguleryuz: AFS Trans., 1996, vol. 104, pp. 763–68.
B. Sun, W. Ding, D. Shu, and Y. Zhao: J. Cent. South Univ. Technol., 2004, vol. 11, pp. 134–41.
V.S. Warke, S. Shankar, and M.M. Makhlouf: J. Mater. Proc. Technol., 2005, vol. 168, pp. 119–26.
P.L. Schaffer and A.K. Dahle: Metall. Mater. Trans. A, 2009, vol. 40A, pp. 481–85.
J.B. Jordon, M.F. Horstemeyer, N. Yang, J.F. Major, K.A. Gall, J. Fan, and D.L. McDowell: Metall. Mater. Trans. A, 2010, vol. 41A, pp. 356–63.
J.F. Major: AFS Trans., 1997, vol. 105, pp. 901–06.
D. Emadi, J.E. Gruzleski, and J.M. Toguri: Metall. Mater. Trans. B, 1993, vol. 24B, pp. 1055–63.
Q.T. Fang and D.A. Granger: AFS Trans., 1989, vol. 97, pp. 989–1000.
J. Campbell and M. Tiryakioglu: Mater. Sci. Technol., 2010, vol. 26, pp. 262–67.
C.M. Dinnis, M.O. Otte, A.K. Dahle, and J.A. Taylor: Metall. Mater. Trans. A, 2004, vol. 35A, pp. 3531–41.
R.C. Atwood, S. Sridhar, W. Zhang, and P.D. Lee: Acta Mater., 2000, vol. 48 (2), pp. 405–17.
J.D. Zhu, S.L. Cockcroft, and D.M. Maijer: Metall. Mater. Trans. A, 2006, vol. 37A, pp. 1075–85.
Author information
Authors and Affiliations
Corresponding author
Additional information
Manuscript submitted March 14, 2011.
Rights and permissions
About this article
Cite this article
Yao, L., Cockcroft, S., Zhu, J. et al. Modeling of Microporosity Size Distribution in Aluminum Alloy A356. Metall Mater Trans A 42, 4137–4148 (2011). https://doi.org/10.1007/s11661-011-0811-z
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11661-011-0811-z