Modelling of crystallization process using the interval boundary element method

• Autorzy: Majchrzak E. , Piasecka-Belkhayat A.
• Języki publikacji: EN

Abstrakty

EN

The mathematical model of solidification process can be formulated using the macro or micro-macro approach. In this paper the second generation model (micro-macro one) is considered. The driving force of crystallization is the local and temporary undercooling below solidification point T_cr. The nucleation and nuclei growth are proportional to the second power of undercooling. Formulas determining the phenomena previously mentioned contain coefficients called the nucleation coefficient and nuclei growth one. These coefficients are assumed to be interval values. For above assumptions the problem has been solved by means of interval boundary element method. In the final part of the paper the results of computations are shown.

Słowa kluczowe

EN

interval boundary element method; interval arithmetic; crystallization

PL

arytmetyka przedziałowa; krystalizacja; metoda elementów brzegowych

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2007
• Tom: Vol. 14, No. 4
• Strony: 673--680
• Opis fizyczny: Bibliogr. 9 poz., wykr.

Twórcy

autor

Majchrzak E.

autor

Piasecka-Belkhayat A.

• Silesian University of Technology, Department for Strength of Materials and Computational Mechanics, Konarskiego 22, 44-100 Gliwice

Bibliografia

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• [2] T. Burczyński, J. Skrzypczyk. The fuzzy boundary element method: A new solution concept. Proc. of XII Polish Conference on Computer Methods in Mechanics, Warsaw-Zegrze, Poland, May 9-13, 1995, pp. 65-66.
• [3] E. Fraś. Crystallization of Metals and Alloys (in Polish). AKAPIT, Cracow, 2003.
• [4] W. Kapturkiewicz. Modelling of Cast Iron Crystallization (in Polish). AKAPIT, Cracow, 2003.
• [5] E. Majchrzak, A. Piasecka. The numerical micro/macro model of solidification process. Journal of Materials Processing Technology, 64: 267-276, 1997.
• [6] E. Majchrzak. Boundary Element Method in Heat Transfer (in Polish). Publ. of Częstochowa Univ. of Technology, Częstochowa, 2001.
• [7] B. Mochnacki, J.S. Suchy. Numerical Methods in Computations of Foundry Processes. PFTA, Cracow, 1995.
• [8] A. Neumaier. Interval Methods for System of Equations. Cambridge University Press, Cambridge-New York-Port Chester-Melbourne-Sydney, 1990.
• [9] A. Piasecka Belkhayat. Modelling of two-dimensional transient diffusion problem with interval thermal parameters and interval boundary conditions. 17th International Conference on Computer Methods in Mechanics CMM-2007, Short Papers, Lodz-Spala, pp. 311-312, 2007.