Influence of growth velocity v and temperature gradient G on the interlamellar spacing λ of FeC unidirectionally crystallized eutectic
Abstract
The paper presents the results of investigations concerning the influence of growth velocity (v) and temperature gradient (G) on the interlamellar spacing (λ) in an irregular iron-carbon (Fe-C) eutectic unidirectionally crystallized. The aim of this study was to verify the growth model of D.J. Fisher and W. Kurz and to determine the relationship λ = f(v, G) based on experimental and numerical analysis. The crystallization process was carried out using the Bridgman-Stockbarger method with liquid metal cooling (LMC), and the structure was studied using optical microscopy and scanning electron microscopy. In parallel, numerical simulations were performed in ProCAST to determine the temperature gradient in the liquid at the crystallization front. The results showed that increasing the growth velocity at constant G leads to a decrease in interlamellar spacing λ, while at constant velocity a decrease in G results in an increase in λ. The experimental data obtained showed good agreement with the results of mathematical modelling, confirming the suitability of the W. Kurz and D.J. Fisher model in describing the crystallization of irregular Fe-C eutectic alloys.
References
D.M. Stefanescu, Science and engineering of casting solidification, Springer International Publishing, Cham, 2015 p.379-434.
C.R. Loper, R.B. Gundlach, D.M. Stefanescu, Solidification characteristics of cast irons, American Foundry Society Transactions, 96 (1988) 761–768.
E. Fraś, Crystallization of metals and alloys, PWN, Warszawa, 1992, (in Polish).
E. Fraś, Directional crystallization of graphite eutectic, Zeszyt naukowy AGH - Metalurgia Odlewnictwa, 2 (1) (1976) 103.
K.A. Jackson, J.D. Hunt, Lamellar and rod eutectic growth, Transactions of the Metallurgical Society of AIME, 236 (1966) 1129–1142. https://doi.org/10.1016/B978-0-08-092523-3.50040-X
D.J. Fisher, W. Kurz, A theory of branching limited growth of irregular eutectitcs, Acta Metallurgical, 28 (6) (1980) 777-794. https://doi.org/10.1016/00016160(80)90155-8
E. Guzik, A model of irregular eutectic growth taking as an example the graphite eutectic in Fe-C alloys, Dissertations Monographies 15, AGH, Kraków, 1994.
E. Guzik, D. Kopyciński, Modelling structure parameters of irregular eutectic growth: Modification of Magnin-Kurz theory, Metallurgical and Materials Transactions, 37 (2006) 3057-3067. https://doi.org/10.1007/s11661-006-0187-7
E. Fraś, Crystallization of cast iron, WNT, Kraków, 2003, (in Polish).
M. Trepczyńska-Łent, Possibilities of the materials properties improvement for the cementite eutectic by means of unidirectional solidification, Archives of Metallurgy and Materials, 58 (3) (2013) 987-991. https://doi.org/10.2478/amm-2013-0116
M. Trepczyńska-Łent, Characteristics of the growth of the directionally solidified Fe-4.25% C eutectic alloy, Archives of Metallurgy and Materials, 66 (4) (2021) 1179-1186. https://doi.org/10.24425/ams.2021.138601
W. Kurz, D.J. Fisher, Dendrite growth at the limit of stability: tip radius and spacing, Acta Metallurgica, 29 (1) (1981)11–20. https://doi.org/10.1016/0001-6160(81)90082-1
W. Wołczyński, Pattern selection in the eutectic growth – thermodynamic interpretation, Archives of Metallurgy and Materials, 65 (2) (2020) 653-666. https://doi.org/10.24425/amm.2020.132804
E. Fraś, Theoretical foundations of crystallization. Part II, Wydawnictwa AGH, Kraków, 1986, (In Polish).
W. Wołczynski, Concentration micro-field for lamellar eutectic growth, Defect and Diffusion Forum, 272 (2007) 123-138. https://doi.org/10.4028/www.scientific.net/DDF.272.1 23
C. Podrzucki, Cast iron. Structure, properties, applications, Wydawnictwo ZG Stop, Kraków, 1991, (In Polish).
Z. Hong-bo, Ai. Xin-gang, Ch. Ming, G. Rui, Ch. Qingsong, H. Zhong-linn, Phase-field simulation study of dendritic growth in directional solidification of Fe-C alloy under varied initial solute concentrations, Material Research Express, 12 (2) (2025). https://doi.org/10.1088/2053-1591/adb3f6
S. Charnnarong, S. Harnsopa, Influence of component proportions in casting process on hardness and the quality of cast iron, Archives of Foundry Engineering, 23 (2) (2023) 35-42. https://doi.org/10.24425/afe.2023.144293
D. Szeliga, K. Kubiak, G. Jarczyk, The influence of the radiation baffle on predicted temperature gradient in single crystal CMSX-4 castings, International Journal of Metalcasting, 7 (3) (2013) 17-23. https://doi.org/10.1007/BF03355555
Authors retain copyright of the published papers and grant to the publisher the non-exclusive right to publish the article, to be cited as its original publisher in case of reuse, and to distribute it in all forms and media.
The Author(s) warrant that their manuscript is their original work that has not been published before; that it is not under consideration for publication elsewhere; and that its publication has been approved by all co-authors, if any, as well as tacitly or explicitly by the responsible authorities at the institution where the work was carried out. The Author(s) affirm that the article contains no unfounded or unlawful statements and does not violate the rights of others. The author(s) also affirm that they hold no conflict of interest that may affect the integrity of the Manuscript and the validity of the findings presented in it. The Corresponding author, as the signing author, warrants that he/she has full power to make this grant on behalf of the Author(s). Any software contained in the Supplemental Materials is free from viruses, contaminants or worms.The published articles will be distributed under the Creative Commons Attribution ShareAlike 4.0 International license (CC BY-SA).
Authors are permitted to deposit publisher's version (PDF) of their work in an institutional repository, subject-based repository, author's personal website (including social networking sites, such as ResearchGate, Academia.edu, etc.), and/or departmental website at any time after publication.
Upon receiving the proofs, the Author(s) agree to promptly check the proofs carefully, correct any typographical errors, and authorize the publication of the corrected proofs.
The Corresponding author agrees to inform his/her co-authors, of any of the above terms.
