Numerical modelling of solidification process using interval boundary element method

• Autorzy: Piasecka-Belkhayat A.
• Języki publikacji: EN

Abstrakty

EN

In this paper an application of the interval boundary element method for solving problems with interval thermal parameters and interval source function in a system casting-mould is presented. The task is treated as a boundary-initial problem in which the crystallization model proposed by Mehl-Johnson-Avrami-Kolmogorov has been applied. The numerical solution of the problem discussed has been obtained on the basis of the interval boundary element method (IBEM). The interval Gauss elimination method with the decomposition procedure has been applied to solve the obtained interval system of equations. In the final part of the paper, results of numerical computations are shown.

Słowa kluczowe

EN

application of information technology; foundry industry; solidification process; interval arithmetic

PL

przemysł odlewniczy; zastosowanie technologii informatycznych; procesy krzepnięcia; model krystalizacji; modelowanie numeryczne

• Wydawca: Komisja Odlewnictwa Polskiej Akademii Nauk Oddział w Katowicach
• Czasopismo: Archives of Foundry Engineering
• Rocznik: 2008
• Tom: Vol. 8, iss. 4
• Strony: 171--176
• Opis fizyczny: Bibliogr. 16 poz., rys., wykr.

Twórcy

autor

Piasecka-Belkhayat A.

• Silesian University of Technology, Department for Strength of Materials and Computational Mechanics, Konarskiego 18A, 44-100 Gliwice, Poland,

Bibliografia

• [1] B. Mochnacki, J.S. Suchy, Numerical methods in computations of foundry processes, PFTA, Cracow, 1995.
• [2] E. Majchrzak, G. Kałuża, Explicit and implicit approach of sensitivity analysis numerical modeling of solidification, Archives of Foundry Engineering, Vol. 8, No. 1, 2008, 187-192.
• [3] E. Majchrzak, B. Mochnacki, G. Kałuża, Shape sensitivity analysis in numerical modeling of solidification, Archives of Foundry Engineering, Vol. 7, No. 4, 2007, 115-120.
• [4] E. Fraś, Crystallization of metals and alloys, PWN, Warsaw, 1992 (in Polish).
• [5] W. Kapturkiewicz, Modelling of cast iron crystallization, AKAPIT, Cracow, 2003 (in Polish).
• [6] E. Majchrzak, A. Piasecka, The numerical micro/macro model of solidification process, Journal of Materials Processing Technology, 1997, 267-276.
• [7] B. Mochnacki, E. Majchrzak, Identification of macro and micro parameters in solidification model, Bulletin of the Polish Academy of Sciences, Technical Sciences, Vol. 55, No. 1, 2007, 107-113.
• [8] A.A. Burbelko, Screening effect during the growth of spheroidal grains vs deviations from Kolmogorov-Johnson-Mehl-Avrami equations, Archives of Foundry Engineering, Vol. 8, No. 1, 2008, 35-40.
• [9] E. Majchrzak, A. Piasecka Belkhayat, Modelling of crystallization process using the interval boundary element method, Computer Assisted Mechanics and Engineering Sciences, Vol. 14, No. 4, 2007, 673-680.
• [10] A. Neumaier, Interval methods for system of equations, Cambridge University Press, Cambridge, New York, 1990.
• [11] A. Piasecka Belkhayat, Solution of energy equation using the interval boundary element method, Scientific Research of the Institute of Mathematics and Computer Science of Czestochowa University of Technology, Czestochowa, 1(6), 2007, 219-226.
• [12] C.A. Brebia, J. Dominguez, Boundary elements, an introductory course, Computational Mechanics Publications, McGraw-Hill Book Company, London, 1992.
• [13] E. Majchrzak, Boundary element method in heat transfer, Publ. of Czestochowa University of Technology, Czestochowa, 2001 (in Polish).
• [14] A. Bokota, S. Iskierka, An analysis of the diffusion-convection problem by the BEM, Engineering Analysis with Boundary Elements, 15, 1995, 267-275.
• [15] R. Szopa, Modelling of solidification and crystallization using combined variant of the BEM, Publ. of the Silesian University of Technology, Gliwice, 54, 1999.
• [16] A. Piasecka Belkhayat, Interval boundary element method for 1D transient diffusion problem, Scientific Research of the Institute of Mathematics and Computer Science of Czestochowa University of Technology, Czestochowa, 1(5), 2006, 176-184.