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Potts Model Simulation of Grain Size Distributions During Final Stage Sintering

Published online by Cambridge University Press:  10 February 2011

P. Zeng  and
V. Tikare
P. Zeng
Affiliation:
Center for Materials Simulations, IMS, University of Connecticut, Storrs, CT 06269
V. Tikare
Affiliation:
Sandia National Lab, Computational Materials Modeling, Albuquerque, NM 87185-1411
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Abstract

The Potts Monte Carlo model was used to simulate microstructural evolution and characterize grain size distribution during the final stages of sintering. Simultaneous grain growth, pore migration and pore shrinkage were simulated in a system with an initial porosity of 10% with varying ratios of grain boundary mobility to pore shrinkage rates. This investigation shows that the presence of pores changes the grain size distribution and the topological characteristics due to pinning of grains by pores. As pores shrink away, their pinning effect decreases. Once pore shrinkage is complete, normal grain growth is achieved.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 529: Symposia BB – Computational & Mathematical Models of Microstructural Evolution , 1998 , 77
Copyright
Copyright © Materials Research Society 1998

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References

1 Rahaman, M.N., Ceramic Processing and Sintering, Marce Dekker, Inc, 1995 Google Scholar
2 Burke, J.E., “Role of Grain boundaries in sintering”, J. Am. Ceram. Soc. 40. 80–85 (1957)Google Scholar
3 Holm, E.A. & Tikare, V., “Simulation of Grain Growth and Pore Migration in a Thermal Gradient”, J. Am. Ceram. Soc., 81[3] 480–484 (1998).Google Scholar
4 Holm, E.A., Glazier, James A., Srolovitz, D.J., Grest, G.S., “Effects of Lattice Anisotropy and Temperature on Domain Growth in the Two-Dimensional Potts Model, ” Phys. Rev. A, 43 [6] 2662–2668 (1991).Google Scholar
5 Metropolis, N. & Ulam, S., “The Monte Carlo Method”, J. Am. Sta. Ass. V44, 335, (1949)Google Scholar
6 Srolovitz, D. J., Anderson, M.P., Sahni, P.S. & Grest, G.S., “Computer simulation of grain growth-II. Grain size distribution, topology, and local dynamics”, Acta Metall. V32, No.5, pp792–802 (1984)Google Scholar
7 Tikare, V. & Cawley, J.D., “Application of the Potts Model to Oswald Ripening”, J. Am. Cram. Soc., 81[3] 485–491(1998).Google Scholar
8 Cobel, R.L., “Sintering Crystalline Solid. I. Intermediate and Final State Diffusion Models”, J. AM. Ceram. Soc., 32[5] 787–792(1961).Google Scholar
9 Hassold, G.N.. Chen, I., Srolovitz, D.J., “Computer Simulation of Final Stage Sintering: I, Model, Kinetics and Microstructure”, J. AM. Ceram. Soc., 73 [10] 2857–64(1990).Google Scholar
10 Holm, E.A.. “Modeling Micro-structural Evolution in Single Phase Composite and Two-Phase polycrystals”, Dissertation, University of Michigan. 1992.Google Scholar
11 Hillert, M., “On the theory of Normal and Abnormal Grain Growth”, Acta Metall., 13 227–231(1965).Google Scholar