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.
Notes
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 1 + Δκ/2] and [κ 2 − Δκ/2, κ 2 + Δκ/2]. Δκ is the binning size used for calculating the ISD plot.
References
J.A. Dantzig, M. Rappaz: Solidification. 1st ed., EPFL Press, Lausanne, 2009.
A. Sabau, S. Viswanathan, Metall. Mater. Trans. B, 2002, vol. 33B, pp. 243–55.
C. Pequet, M. Rappaz and M. Gremaud: Metall. Mater. Trans. A, 2002, vol. 33A, pp. 2095–106.
P.D. Lee and J.D. Hunt: Conference on Modeling of Casting, Welding and Advanced Solidification Processes VII, TMS, Warrendale, PA, 1995, p. 585.
R.C. Atwood, S. Sridhar, W. Zhang, P.D. Lee: Acta Mater., 2000, vol. 48, pp. 405-417.
K.D. Carlson, Z. Lin, C. Beckermann: Metall. Mater. Trans. A, 2007, vol. 38A, pp. 541–55.
K. Kubo, R. Pehlke: Metall. Trans. B, 1985, vol. 16B, pp. 359–66.
G. Couturier and M. Rappaz: Conference on Modeling of Casting, Welding and Advanced Solidification Processes, TMS Publ., Warrendale, PA, 2006, p. 143.
D.R. Poirier, K. Yeum, A.L. Maples: Metall. Trans. A, 1987, vol. 18A, pp. 1979–87.
M. Felberbaum, M. Rappaz: Acta Mater., 2011, vol. 59, pp. 6849- 6860.
R. Mendoza, J. Alkemper, P. Voorhees: Metall. Mater. Trans. A, 2003, vol. 34A, pp. 481–89.
W.J. Boettinger, J.A. Warren, C. Beckermann, A. Karma. Annual Review of Materials Research, 2003, vol. 32, pp.163-194.
H. Meidani, A. Jacot: Acta Mater., 2011, vol. 59, pp. 3032-3040.
H. Meidani, J.L. Desbiolles, A. Jacot, M. Rappaz : Acta Mater., 2012, vol. 60, pp. 2518-2527.
C.A. Schneider, W.S. Rasband, K.W. Eliceiri: Nature Methods, 2012, vol. 9, pp. 671-675.
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.
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Manuscript submitted April 14, 2014.
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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
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DOI: https://doi.org/10.1007/s11661-014-2647-9