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Modelling of Equiaxed Microstructure Formation in Solidifying Two-Component Alloys

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Numerical Analysis and Its Applications (NAA 2000)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1988))

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Abstract

The paper deals with a numerical modelling of equiaxed microstructure formation during the solidification of two-component alloys, poured into metal forms. The basic enthalpy formulation was applied to model the solidification. The formulation allows the characteristic dimensions of computed microstructure in thermal calculations to take into account. The so-called indirect model of solidification (solid phase growth), which allows the modelling of all possible solidification courses, from equilibrium to non-equilibrium solidification, was used to model the equiaxed microstructure formation. This model was worked out from an approximate solution of the diffusion equation of solute in a single grain. The equiaxed grain size was dependent on the average velocity of cooling at the moment when the liquid metal reached the temperature of the beginning of solidification. The above simulation was performed using the NuscaScomputer program, which has been developed at the Technical University of Czestochowa.

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References

  1. Dalhuijsen, A. J., Segal, A.: Comparison of finite element techniques for solidification problems. Int. J. Numer. Meth Engng. 23 (1986), 1807–1829

    Article  MATH  Google Scholar 

  2. Thévoz, Ph., Desbiolles, J. L., Rappaz, M.: Modeling of Equiaxed Microstructure Formation in Casting. Metall. Trans. A 20A (1989) 311–322

    Google Scholar 

  3. Voller, V. R., Swaminathan, C. R., Thomas, B. G.: Fixed grid techniques for phase change problems: a review. Int. J. Numer. Meth Engng. 30 (1990) 875–898

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  4. Sczygiol, N.: Object-oriented analysis of the numerical modelling of castings solidification. Computer Assisted Mechanics and Engineering Sciences, 2000 (in print)

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  5. Sczygiol, N., Szwarc, G.: Application of enthalpy formulation for numerical simulation of castings solidification. Computer Assisted Mechanics and Engineering Sciences, 2000 (in print)

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  6. Wood, W. L.: Practical Time-stepping Schemes. Clarendon Press, Oxford (1990)

    MATH  Google Scholar 

  7. Sczygiol, N.: Das rechnerische Modellieren der Beimengungsverteilung in erstarrenden Guβstücken aus binären Legierungen. ZAMM 74 (1994) T619–T622

    Google Scholar 

  8. Clyne, T. W., Kurz, W.: Solute Redistribution During Solidification with Rapid Solid State Diffusion, Metall. Trans. A 12A (1981) 965–971

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© 2001 Springer-Verlag Berlin Heidelberg

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Sczygiol, N. (2001). Modelling of Equiaxed Microstructure Formation in Solidifying Two-Component Alloys. In: Vulkov, L., Yalamov, P., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2000. Lecture Notes in Computer Science, vol 1988. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45262-1_83

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  • DOI: https://doi.org/10.1007/3-540-45262-1_83

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41814-6

  • Online ISBN: 978-3-540-45262-1

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