Concurrent growth of two phases in 2D space

• Autorzy: Burbelko A. A. , Kapturkiewicz W. , Fraś E.
• Języki publikacji: EN

Abstrakty

EN

The kinetics of phase transformations has been studied within the framework of the Kolmogorov- Johnson-Mehl-Avrami (KJMA) theory. This theory accurately describes only the parallel growth of anisotropic products with identical convex shape. The identical growth velocity distribution at an interface is the indispensable condition for the above restriction. The proposed earlier extension of KJMA theory (statistical theory of the screened growth) enlarges the scope of its application and eliminates the above limitation. The results of the application of this extension were compared with the results obtained during modelling of the concurrent growth of the two types of circular particles on a plane, where the said particles were characterised by different growth rates and modelling was carried out by the method of cellular automata (CA).

Słowa kluczowe

EN

KJMA theory; concurrent growth; screening

PL

teoria KJMA; wzrost; ekranowanie

• Wydawca: Komisja Odlewnictwa Polskiej Akademii Nauk Oddział w Katowicach
• Czasopismo: Archives of Foundry Engineering
• Rocznik: 2008
• Tom: Vol. 8, iss. 4
• Strony: 23--26
• Opis fizyczny: Bibliogr. 9 poz., fot., rys.

Twórcy

autor

Burbelko A. A.

autor

Kapturkiewicz W.

autor

Fraś E.

• AGH - University of Science and Technology, Faculty of Foundry Engineering, Reymonta 23, 30-059 Krakow, Poland,

Bibliografia

• [1] B.A. Berg, S. Dubey, Finite Volume Kolmogorov-Johnson-Mehl-Avrami Theory, Phys. Rev. Lett., 2008, 100 (16), art. No. 165702.
• [2] A.N. Kolmogorov, About Statistical Theory of Metals Solidification. Izvestija Akademii Nauk SSSR. Mathematical Series, 1937, 3, 355-359 (in Russian).
• [3] W.A. Johnson, R.F. Mehl, Reaction Kinetics in Processes of Nucleation and Growt. Transaction Metallurgical Society AIME, 1939, 135, 416-442.
• [4] M. Avrami, Kinetics of Phase Change, I, II and III, Journal of Chem. Phys, 1939, 7, 1103-1112; 1940, 8, 212-224; 1941, 9, 177-184.
• [5] B.J. Kooi, Extension of the Johnson-Mehl-Avrami-Kolmogorov theory incorporating anisotropic growth studied by Monte Carlo simulations, Phys. Rev. B, 2006, 73, 054103-(1-13).
• [6] W.Z. Belen'kij, Geometrical-Stochastic Solidification Models. Phenomenology. Moskwa, Nauka, 1980 (in Russian).
• [7] Burbelko, Probabilistic Theory of Screening of the Particles Growth. Computer Methods in Materials Science (Informatyka w Technologii Materiałów) 2002, 2, 106-120 (in Polish).
• [8] A.A. Burbelko, E. Fras, W. Kapturkiewicz, About Kolmogorov's statistical theory of phase transformation. Mat. Sci. Eng. A, 2005, 413-414, 429-434.
• [9] A.A. Burbelko, W. Kapturkiewicz, D. Gurgul, Analysis of causes and means to reduce artificial anisotropy in cellular automaton modelling of the solidification process. Proc. 5th Decennial Int. Conf. on 'Solidification Processing 2007', Sheffield, UK, July 2007, University of Sheffield, 31-35.