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Computational modeling of radiation-induced segregation in concentrated binary alloys

Published online by Cambridge University Press:  10 April 2013

Santosh Dubey
Affiliation:
School of Nuclear Engineering, Purdue University, West Lafayette, IN, USA
Anter El-Azab
Affiliation:
School of Nuclear Engineering, Purdue University, West Lafayette, IN, USA
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Abstract

A sharp-interface model to study radiation-induced segregation in binary alloy has been developed. This model is based on a set of reaction-diffusion equations for the point defect and atomic species concentrations, with a stochastic, spatially-resolved, discrete defect generation terms representing the cascade damage. An important feature of this model, which is significantly different from the way radiation-induced segregation has been studied in the past, is that the role of the boundaries as defect sinks has been ensured by defining defect-boundary interactions via a set of reaction boundary conditions. Defining defect-boundary interactions in this way makes it possible to capture the process of segregation as a consequence of boundary motion. The model is tested in 2D for Cu-Au solid solution with the material surface being free to move. The Gear method has been used to solve the reaction-diffusion equations. Enrichment of Cu and depletion of Au have been observed near to the boundaries.

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Articles
Copyright
Copyright © Materials Research Society 2013

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References

REFERENCES

Andersen, P. L., Ford, F.P., Murphy, S.M., and Perks, J.M., in 4th International Conference on Environmental Degradation of Materials in Nuclear Power Systems-Water Reactor, Jekyll Island, GA, August 1989, NACE, 1990, p. 1.Google Scholar
Marwick, A. D., J. Phys. F: Metal Phys. 8, No. 9, 18491861 (1978).CrossRefGoogle Scholar
Manning, J. R., Physical Review B 4, 1110 (1973).Google Scholar
Wiedersich, H., Okamoto, P. R., and Lam, N. Q., Journal of Nuclear Materials 83, 98 (1979).CrossRefGoogle Scholar
Lam, N. Q. and Wiedersich, H., Journal of Nuclear Materials 103 & 104, 433 (1981).CrossRefGoogle Scholar
Perks, J. M. and Murphy, S. M., in Materials for Nuclear Reactor Core Applications (BNES, London, 1987), Vol. 1, p. 165.Google Scholar
Dumbill, S. and Williams, T. M., in: Proc. Conf. on Materials for Nuclear Reactor Core Applications, 1987, Vol. 1 (BNES, London, 1987) p. 119.Google Scholar
Murphy, S. M., Journal of Nuclear Materials 182, 7386 (1991).CrossRefGoogle Scholar
Hashimoto, T., Isobe, Y. and Shigenaka, N., Journal of Nuclear Materials 225, 108 (1995).CrossRefGoogle Scholar
Dederichs, P.H. et al. ., Journal of Nuclear Materials, 69 & 70, 176 (1978).CrossRefGoogle Scholar
Grandjean, Y., Bellon, Pascal and Martin, Georges, Physical Review B 50, No. 6, 4228 (1994).CrossRefGoogle Scholar
Martin, G., Physical Review B 41, 2279 (1990).CrossRefGoogle Scholar
Dubey, Santosh and El-Azab, Anter ( to be submitted ).Google Scholar
Hindmarsh, A., “ODEPACK: A Systematized Collection of ODE Solvers”, in Scientific Computing, edited by Stepleman, R. S. et al. (North Holland Publishing Co., New York, 1983) p.Google Scholar
Gear, C. W., Numerical Initial Value Problems in Ordinary Differential Equations (Prentice-Hall, Englewood Cliffs, 1971).Google Scholar
Liu, Yajun et al. ., Journal of Phase Equilibria and diffusion 30, 389 (2009).Google Scholar
Hashimoto, T. et al. ., ASTM-STP955, 700 (1987).Google Scholar
Hashimoto, T. et al. ., Physical Review B 18, 12868 (1988).CrossRefGoogle Scholar