Numerical Model of Solidification Including Formation of Multiple Shrinkage Cavities

• Autorzy: Skrzypczak T. , Sowa L. , Węgrzyn-Skrzypczak E.

Identyfikatory

DOI

10.24425/afe.2020.131280

• Języki publikacji: EN

Abstrakty

EN

Presented paper shows the mathematical and numerical approaches for modelling of binary alloy solidification solved by the Finite Element Method (FEM). The phenomenon of shrinkage cavities formation process is included in the numerical model. Multiple macroscopic cavities can be modelled within the single casting volume. Solid, liquid and gaseous phases with different material properties are taken into account during solidification process. Mathematical model uses the differential equation of heat diffusion. Modification of specific heat is used to describe the heat releasing during liquid-solid phase change. Numerical procedure of shrinkage cavities evolution is based on the recognition of non-connected liquid volumes and local shrinkage computation in the each of them. The recognition is done by the selection of sets of interconnected nodes containing liquid phase in the finite element mesh. Original computer program was developed to perform calculation process. Obtained results of temperature and shrinkage cavities distributions are presented and discussed in details.

Słowa kluczowe

EN

solidification process; castings defects; shrinkage cavity; numerical simulation; finite element method

PL

proces krzepnięcia; wady odlewów; ubytki skurczowe; symulacja numeryczna; metoda elementów skończonych

• Wydawca: Komisja Odlewnictwa Polskiej Akademii Nauk Oddział w Katowicach
• Czasopismo: Archives of Foundry Engineering
• Rocznik: 2020
• Tom: Vol. 20, iss. 1
• Strony: 37--42
• Opis fizyczny: Bibliogr. 11 poz., rys., tab.

Twórcy

autor

Skrzypczak T.

• Częstochowa University of Technology, Institute of Mechanics and Machine Design Fundamentals, Częstochowa, Poland \

autor

Sowa L.

• Częstochowa University of Technology, Institute of Mechanics and Machine Design Fundamentals, Częstochowa, Poland

autor

Węgrzyn-Skrzypczak E.

• Częstochowa University of Technology, Institute of Mechanics and Machine Design Fundamentals, Częstochowa, Poland

Bibliografia

• [1] Pequet, Ch., Rappaz, M. & Gremaud, M. (2002). Modeling of microporosity, macroporosity, and pipe-shrinkage formation during the solidification of alloys using a mushy-zone refinement method: Applications to aluminum alloys. Metallurgical and Materials Transactions A. 33(7), 2095-2106.
• [2] Hajkowski, J., Roquet, P., Khamashta, M., Codina, E. & Ignaszak, Z. (2017). Validation tests of prediction modules of shrinkage defects in cast iron sample. Archives of Foundry Engineering. 17(1), 57-66. DOI: 10.1515/afe-2017-0011.
• [3] Campbell, J. (2003). Castings, (2nd ed.). Oxford: Butterworth-Heinemann.
• [4] Flemings, M.C. (1974). The solidification processing. New York: Mc Graw-Hill.
• [5] Jabur, A.S. & Kushnaw, F.M. (2017). Casting simulation and prediction of shrinkage cavities. Journal of Applied & Computational Mathematics. 6(4), 7. DOI: 10.4172/2168-9679.1000371.
• [6] Kim, C.J. & Ro, S.T. (1993). Shrinkage formation during the solidification process in an open rectangular cavity. Journal of Heat Transfer. 115(4), 1078-1081. DOI: 10.1115/ 1.2911369.
• [7] Zhang, C., Bao, Y., Wang, M. & Zhang, L. (2016). Shrinkage porosity criterion and its application to a 5.5 ton steel ingot. Archives of Foundry Engineering. 16(2), 27-32. DOI: 10.1515/afe-2016-0021.
• [8] Wu, M., Ludwig, A. & Kharicha, A. (2017). A four phase model for the macrosegregation and shrinkage cavity during solidification of steel ingot. Applied Mathematical Modelling. 41, 102-120. DOI: dx.doi.org/10.1016 /j.apm.2016.08.023.
• [9] Mochnacki, B., Suchy. J.S. (1993). Modeling and simulation of solidification of castings. Warsaw: PWN. (in Polish).
• [10] Skrzypczak, T., Węgrzyn-Skrzypczak, E. & Sowa, L. (2019). Numerical model of solidification process of Fe-C alloy taking into account the phenomenon of shrinkage cavity formation. MATEC Web of Conferences. 254, 7. DOI: https://doi.org/10.1051/matecconf/201925402009
• [11] Geuzaine, C., & Remacle, J.-F. (2009). Gmsh: a three-dimensional finite element mesh generator with built-in pre- and post-processing facilities. International Journal for Numerical Methods in Engineering. 79(11), 1309-1331.

Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).