Analysis of three-dimensional binary alloy solidification with shrinkage cavity formation

• Autorzy: Skrzypczak T. , Węgrzyn-Skrzypczak E.
• Języki publikacji: EN

Abstrakty

EN

The paper focuses on modeling of binary alloy solidification process with using Finite Element Method (FEM). The process is characterized by liquidus and solidus temperatures which are constant because solutal segregation is neglected. Analysed region is threedimensional and consists of casting and riser. Mathematical and numerical models of solidification process are presented in the paper. The main focus is put on the algorithm of shrinkage cavity creation process. On the base of mathematical and numerical model computer program has been made. It is capable to simulate shrinkage cavity formation. Two examples show the results of different calculations performed by the program. The first example shows shrinkage cavity created during fast cooling of the top part of the riser while the second one was performed by significantly slower cooling. The shape and localization of shrinkage cavity obtained from simulation is compared to defect which was created during experiment.

Słowa kluczowe

EN

shrinkage cavity; binary alloy; 3D numerical modelling; Finite Element Method (FEM)

PL

jama skurczowa; stop dwuskładnikowy; modelowanie numeryczne 3D; metoda elementów skończonych (FEM)

• Wydawca: Komisja Odlewnictwa Polskiej Akademii Nauk Oddział w Katowicach
• Czasopismo: Archives of Foundry Engineering
• Rocznik: 2010
• Tom: Vol. 10, iss. 4
• Strony: 199--204
• Opis fizyczny: Bibliogr. 15 poz., rys.

Twórcy

autor

Skrzypczak T.

• Czestochowa University of Technology, Institute of Mechanics and Machine Design, st. Dąbrowskiego 73, 42-200 Częstochowa, Poland

autor

Węgrzyn-Skrzypczak E.

• Czestochowa University of Technology, Institute of Mathematics, st. Dąbrowskiego 73, 42-200 Częstochowa, Poland

Bibliografia

• [1] J. Campbell, Castings, 2nd edition, Butterworth-Heinemann, Oxford, 2003.
• [2] M. C. Flemings, The solidification processing, Mc Graw-Hill, New York, 1974.
• [3] A. Gierek, T. Mikuszewski, Forming of primary structure of metals and alloys, Publishers of the Silesian University of Technology, Gliwice, 1998 (in Polish).
• [4] Z. Falęcki, Analysis of casts defects, Wyd. AGH, Kraków, 1997 (in Polish).
• [5] B. Mochnacki, S. J. Suchy, Numerical methods in computations of foundry processes, Polish Foundrymen's Technical Association, Kraków, 1995.
• [6] R. Parkitny, L. Sowa, Numerical simulation of solidification of casting taking into account fluid flow and heat transfer phenomena. The axisymmetrical problem, Journal of Theoretical and Applied Mechanics , Vol. 39, No. 4 (2001): 910-921 (in Polish).
• [7] R. Parkitny, T. Skrzypczak, Simulation of solidification of two component alloys with solute distribution, Archives of Foundry, Vol. 2, No. 4 (2002): 198-203 (in Polish).
• [8] L. Sowa, Numerical simulation of the shrinkage cavity within solidifying steel casting, Archives of Foundry, Vol. 2, No. 4 (2002): 245-250 (in Polish).
• [9] R. Parkitny, L. Sowa, Numerical Modelling of the shrinkage cavity within steel castings, Acta Metallurgica Slovaca, Vol. 8, No. 1 (2002): 250-254 (in Polish).
• [10] S. Bockus, A. Venckunas, G. Zaldarys, Simulation of a shrinkage cavity in the risers of ductile iron castings, Materials Science, Vol. 11, No. 1 (2005): 19-23.
• [11] K. J. Bathe, Finite element procedures in engineering analysis, Prentice-Hall, 1982.
• [12] O. C. Zienkiewicz, The finite element method, Mc Graw-Hill, London, 1977.
• [13] T. Warburton J.S. Hesthaven, On the constant in hp-finite element trace inverse inequalities, Comput. Methods Appl. Mech. Engrg, 192 (2003): 2765-2773.
• [14] M. Dubiner, Spectral methods on triangles and other domains, J. Sci. Comput., 6 (1991): 345-390.
• [15] T. Skrzypczak, E. Węgrzyn-Skrzypczak, Simulation of Shrinkage Cavity Formation During Solidification of Binary Alloy, Arch. Foundry Eng. Vol.10, No, 1 (2010): 147-152.