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

Published online by Cambridge University Press:  02 May 2014

Laurentiu Nastac*
Affiliation:
The University of Alabama, Department of Metallurgical and Materials Engineering, Box 870202, Tuscaloosa, AL, 35487, USA. e-mail: [email protected]
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Abstract

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

Type
Research Article
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) 129134 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