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A 3D stochastic mesoscopic model for prediction of microstructure evolution during solidification of dendritic alloys

Published online by Cambridge University Press:  02 May 2014

Laurentiu Nastac
Laurentiu Nastac*
Affiliation:
The University of Alabama, Department of Metallurgical and Materials Engineering, Box 870202, Tuscaloosa, AL, 35487, USA. e-mail: lnastac@eng.ua.edu
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Abstract

A comprehensive three-dimensional (3D) stochastic model for simulating the evolution of dendritic crystals during the solidification of binary alloys was developed. The multi-scale model takes into account all the length scales (e.g., macro, micro- and meso-scales) required to accurately predict the evolution of dendritic morphologies during solidification of alloys. The model includes time-dependent computations for temperature distribution, solute redistribution in the liquid and solid phases, curvature, and growth anisotropy. Stochastic models previously developed for simulating dendritic grains in 2D were modified to control the nucleation and growth of dendrites in 3D. 3D mesoscopic computations at the dendrite tip length scale were performed to simulate the evolution of columnar and equiaxed dendritic morphologies including segregation patterns and compared then with predictions based on 2D mesoscopic computations.

Keywords

3D stochastic mesoscopic modelingCastingSolidification processingDendritic microstructure evolutionSegregation patterns
Type
Research Article
Information
Metallurgical Research & Technology , Volume 111 , Issue 5 , 2014 , pp. 311 - 319
Copyright
© EDP Sciences 2014

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References

Nastac, L., Acta Materialia 47 (1999) 4253-4262 Google Scholar
L. Beltran-Sanchez, D.M. Stefanescu, Proceedings of the “Modelling of Casting, Welding, and Advanced Solidification Processes X”, TMS, Destin, FL, USA, 2003, pp. 75–82 Google Scholar
Karma, A., Rappel, W.J., Phys. Rev. E 57 (1998) 4323-4349 Google Scholar
Jeong, J.H., Goldenfeld, N., Dantzig, J.A., Phys. Rev. E 64 (2001) 1-14 Google Scholar
Eshragi, M., Felicelli, S.D., Jelinek, B., J. Crys. growth 354 (2012) 129–134 Google Scholar
Gandin, C.A., Rappaz, M., Acta Met. 45 (1997) 2187-2195 Google Scholar
L. Nastac, 4th Pacific Rim International Conference on Modeling of Casting and Solidification Processes (MCSP-4), C.P. Hong ed., Yonsei University, Seoul, Korea, September 5-8, 1999 Google Scholar
L. Nastac, Proceedings of the “Modelling of Casting, Welding, and Advanced Solidification Processes IX”, Engineering Foundation, Aachen, Germany, August 20-25, 2000 Google Scholar
L. Nastac, “Modeling and Simulation of Microstructure Evolution in Solidifying Alloys”, Springer, New York, 2004 Google Scholar
Nastac, L., Stefanescu, D.M., Modelling and Simulation in Materials Science and Engineering, Institute of Physics Publishing 5 (1997) 391-420 Google Scholar
D.B. Kothe, R.C. Mjolsness, M.D. Torrey, RIPPLE: A Computer Program for Incompressible Flows with free surfaces, Los Alamos National Lab., LA-10612-MS, Los Alamos, NM, 1991 CrossRefGoogle Scholar
Chen, S., Merriman, B., Osher, S., Smereka, P., J. Comp. Phys. 135 (1997) 8-29 Google Scholar
Nastac, L., Stefanescu, D.M., Metal. Transact. 28A (1997) 1582-1587 Google Scholar
Kong, M., Bhattacharyal, R.N., James, C., Basu, A., Geol. Soc. Am. Bull. 117 (2005) 244-249Google Scholar