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Purpose: The aim of this work was to develop a computer program for simulation of dendritic growth in a selected alloy using the phase field model. This model becomes very popular for modelling a variety of technological processes at the mesoscale level. Design/methodology/approach: In the phase field model a new variable, the phase field variable is introduced, which defines the physical state of the system (liquid or solid) at each point and the governing differential equations system. The main advantage of this method is to avoid interphase tracking in contrast to the conventional method with sharp interface. Findings: In this work an algorithm for calculation of the microstructural evolution formed during dendritic solidification is presented by application of a numerical finite difference method for solving partial differential equations. Research limitations/implications: The presented model for dendritic solidification will be extended for modelling of phase transformations in the solid state during technological processes in metallurgy. The calculation still has to be verified using experimental methods of microstructure analysis. Practical implications: The phase field method becomes very popular for modelling of variety of technological processes at the mesoscale. In the actual work the methodology for simulation of microstructural development during solidification is presented.
Wydawca
Rocznik
Tom
Strony
89--93
Opis fizyczny
Bibliogr. 16 poz.
Twórcy
autor
autor
- Faculty of Metals Engineering and Industrial Computer Science, University of Science and Technology, Al. Mickiewicza 30, 30-059 Kraków, Poland, adrian@agh.edu.pl
Bibliografia
- [1] N. Moelans, B. Blanpain, P. Wollants, An introduction to phase-field modelling of microstructure evolution, Computer Coupling of Phase Diagrams and Thermochemistry 32 (2008) 268-294.
- [2] I. Steinbach, Phase-field models in materials science, Modelling and Simulation in Materials Science and Engineering 17 (2009) 073001.
- [3] A.A. Wheeler, W.J. Boetinger, G.B. McFadden, Phase-Field model for isothermal phase transitions in binary alloys, Physical Review 45 (1992) 7424-7438.
- [4] J.A. Warren, W.J. Boettinger, Prediction of dendritic growth and microsegregation patterns in a binary alloy using the phase-field method, Acta Metallurgica et Materialia 43 (1995) 689-703.
- [5] W.J. Boettinger, J.A. Warren, The phase-field method: simulation of alloy dendritic solidification during recalescence, Metallurgical and Materials Transactions A 27A (1996) 657-669.
- [6] J.F. McCarthy, Phase diagram effects in phase field models of dendritic growth in binary alloys, Acta Metallurgica et Materialia 45 (1997) 4077-4091.
- [7] I. Longinova, G. Amberg, J. Agren, Phase field simulations of non-isothermal binary alloy solidification. Acta Metallurgica et Materialia 49 (2001) 573-581.
- [8] C.F. Gerald, P.O. Wheatley, Applied Numerical Analysis, Addison Wesley Publishing Company, USA.
- [9] T.J. Chung, Computational fluid dynamics, Cambridge University Press, 2002.
- [10] H.Adrian: Thermodynamic Calculations of Carbonitride Precipitation as a Guide for Alloy Design of Microalloyed Steels; Proceedings of the International Conference "Microalloying'95", Pittsburgh, 1995, 285-307
- [11] M. Glowacki, R. Kuziak, Z. Malinowski, M. Pietrzyk Modelling of heat transfer, plastic flow, and microstructural evolution during shape rolling, Journal of Materials Processing Technology 53 (1995) 159-166.
- [12] B. Koczurkiewicz, The model of prediction of the microstructure austenite C-Mn steel, Archives of Materials Science and Engineering 28 (2007) 421-424.
- [13] J. Trzaska, A. Jagiełło, L.A. Dobrzański, The calculation of CCT diagrams for engineering steels, Archives of Materials Science and Engineering 39/1 (2009) 13-20.
- [14] D. Słota, Modelling of the optimum cooling condition in two-dimensional solidification processes, Computational Materials Science and Surface Engineering 1 (2009) 45-52
- [15] B. Smoljan, D. Iljkić, S. Smokvina Hanza, F. Traven An analysis of modified Jominy-test (JMC®-test), Computational Materials Science and Surface Engineering 1 (2009) 120-124.
- [16] L.A. Dobrzański, R. Honysz, Computer modelling system of the chemical composition and treatment parameters influence on mechanical properties of structural steels, Journal of Achievements in Materials and Manufacturing Engineering 35/2 (2009) 138-145.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSL8-0031-0022