Modelling of the Dendritic Crystallization by the Cellular Automaton Method

• Autorzy: Zyska A. , Konopka Z. , Łągiewka M. , Nadolski M.

Identyfikatory

DOI

10.1515/afe-2016-0011

• Języki publikacji: EN

Abstrakty

EN

A numerical model of binary alloy crystallization, based on the cellular automaton technique, is presented. The model allows to follow the crystallization front movement and to generate the images of evolution of the dendritic structures during the solidification of a binary alloy. The mathematic description of the model takes into account the proceeding thermal, diffusive, and surface phenomena. There are presented the results of numerical simulations concerning the multi-dendritic growth of solid phase along with the accompanying changes in the alloying element concentration field during the solidification of Al + 5% wt. Mg alloy. The model structure of the solidified casting was achieved and compared with the actual structure of a die casting. The dendrite interaction was studied with respect to its influence on the generation and growth of the primary and secondary dendrite arms and on the evolution of solute segregation both in the liquid and in the solid state during the crystallization of the examined alloy. The morphology of a single, free-growing dendritic crystal was also modelled. The performed investigations and analyses allowed to state e.g. that the developed numerical model correctly describes the actual evolution of the dendritic structure under the non-equilibrium conditions and provides for obtaining the qualitatively correct results of simulation of the crystallization process.

Słowa kluczowe

EN

binary alloys; crystallization; numerical modelling; cellular automata; structure modeling

PL

stop dwuskładnikowy; krystalizacja; modelowanie numeryczne; metoda automatów komórkowych

• Wydawca: Komisja Odlewnictwa Polskiej Akademii Nauk Oddział w Katowicach
• Czasopismo: Archives of Foundry Engineering
• Rocznik: 2016
• Tom: Vol. 16, iss. 1
• Strony: 99--106
• Opis fizyczny: Bibliogr. 18 poz., rys., tab.

Twórcy

autor

Zyska A.

• Foundry Department, Czestochowa University of Technology, Al. Armii Krajowej 19, 42-200 Częstochowa, Poland

autor

Konopka Z.

• Foundry Department, Czestochowa University of Technology, Al. Armii Krajowej 19, 42-200 Częstochowa, Poland

autor

Łągiewka M.

• Foundry Department, Czestochowa University of Technology, Al. Armii Krajowej 19, 42-200 Częstochowa, Poland

autor

Nadolski M.

• Foundry Department, Czestochowa University of Technology, Al. Armii Krajowej 19, 42-200 Częstochowa, Poland

Bibliografia

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• [2] Gandin, Ch.A., Desbiolles, J.L., Rappaz, M. & Thevoz, Ph., (1999). A Three-Dimensional Cellular Automaton–Finite Element Model for the Prediction of Solidification Grain Structures. Metallurgical and Materials Transactions A. 30, 3153-3165.
• [3] Beltran-Sanchez, L. & Stefanescu, D.M. (2003). Growth of Solutal Dendrites: A Cellular Automaton Model and Its Quantitative Capabilities. Metallurgical and Materials Transactions A. 34, 367-382.
• [4] Kuangfei, W., Shan, L., Guofa, M., Changyun, L. & Hengzhi, F. (2010). Simulation of microstructural evolution in directional solidification of Ti-45at.%Al alloy using cellular automaton method. China Foundry. 7, 47-51.
• [5] Zhu, M.F. & Stefanescu, D.M. (2007). Virtual front tracking model for the quantitative modeling of dendritic growth in solidification of alloys. Acta Materialia. 55, 1741-1755.
• [6] Michelic, S.C. & Thuswaldner, J.M. (2010). Polydimensional modelling of dendritic growth and microsegregation in multicomponent alloys. Acta Materialia. 58, 2738-2751.
• [7] Zhu, M.F., Dai, T., Lee, S.Y. & Hong, Ch.P. (2008). Modeling of solutal dendritic growth with melt convection. Computers and Mathematics with Applications. 55, 1620 – 1628.
• [8] Wie, L., Lin, X., Wang, M. & Huang W. (2012). Orientation selection of equiaxed dendritic growth by three-dimensional cellular automaton model. Physica B. 407, 2471-2475.
• [9] Zhang, X., Zhao, J., Jiang, H. & Zhu, M. (2012). A three-dimensional cellular automaton model for dendritic growth in multi-component alloys. Acta Materialia. 60, 2249-2257.
• [10] Kothe, D.B., Mjolsness, R.C. (1991). A Computer Program for Incompressible Flows with Free Surface. Los Alamos National Lab. Los Alamos.
• [11] Yin, H., Felicelli, S.D. & Wang, L. (2011). Simulation of a dendritic microstructure with the lattice Boltzmann and cellular automaton methods. Acta Materialia. 59, 3124-3136.
• [12] Burbelko, A. (2004). Mezomodeling of Solidification Using a Cellular Automaton. Monograph UWN-D AGH. Krakow. (in Polish).
• [13] Zhu, M.F., Cao, W., Chen, S.L., Hong, C.P. & Chang, Y.A. (2007). Modeling of Microstructure and Microsegregation in Solidification of Multi-Component Alloys. Journal of Phase Equilibria and Diffusion. 28, 130-138.
• [14] Zhan, X., Wie, Y. & Dong, Z. (2008). Cellular automaton simulation of grain growth with different orientation angles during solidification process. Journal of Materials Processing Technology. 208, 1-8.
• [15] Zyska, A. (2014). Modelling of the dendritic structure and the solidification process for a binary alloy. Monograph WWIPiTM P.Cz. Częstochowa. (in Polish).
• [16] Stefanescu, D.M. (2009). Science and Engineering of Casting Solidification. Springer.
• [17] The thermo-physical database of Nova Flow&Solid program.
• [18] Yan, X., Chen, S., Xie, F. & Chang, Y.A. (2002). Computational and Experimental Investigation of Microsegregation in an Al-rich Al-Cu-Mg-Si Quaternary Alloy. Acta Materialia. 50, 2199-2207.

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.