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A phase field model of the premelting of grain boundaries in pure materials

Published online by Cambridge University Press:  21 March 2011

Alexander E. Lobkovsky  and
James A. Warren
Alexander E. Lobkovsky
Affiliation:
Metallurgy Division National Institute for Standards and Technology 100 Bureau Drive, Stop 8555 Gaithersburg, MD 20899
James A. Warren
Affiliation:
Metallurgy Division National Institute for Standards and Technology 100 Bureau Drive, Stop 8555 Gaithersburg, MD 20899
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Abstract

We present a phase field model of solidification which includes the effects of the crystalline orientation in the solid phase. This model describes grain boundaries as well as solid-liquid boundaries within a unified framework. With an appropriate choice of coupling of the phase field variable to the gradient of the crystalline orientation variable in the free energy, we find that high angle boundaries undergo a premelting transition. As the melting temperature is approached from below, low angle grain boundaries remain narrow. The width of the liquid layer at high angle grain boundaries diverges logarithmically.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 652: Symposium Y – Influences of Interface & Dislocation Behavior on Microstructure Evolution , 2000 , Y1.9
Copyright
Copyright © Materials Research Society 2001

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References

REFERENCES

[1] Hsieh, T. E. and Balluffi, R. W., Acta Metall. 37, 1637 (1989).Google Scholar
[2] Author, K. T. and Demianczuk, D. W., Acta Metall. 23, 1149 (1975).Google Scholar
[3] Watanabe, T., Kimura, S.-I., and Karashima, S., Philos. Mag. A 49, 845 (1984).Google Scholar
[4] Budke, E. et al. , Acta Mater. 47, 385 (1999).Google Scholar
[5] Broughton, J. Q. and Gilmer, G. H., Modeling Simul. Mater. Sci. Eng. 6, 87 (1998).Google Scholar
[6] Keblinski, P., Wolf, D., Phillpot, S. R., and Gleiter, H., Philos. Mag. A 79, 2735 (1999).Google Scholar
[7] Nguyen, T. et al. , Phys. Rev. B 46, 6050 (1992).Google Scholar
[8] Schonfelder, B., Wolf, D., Phillpot, S. R., and Furtkamp, M., Interface Sci. 5, 245 (1997).Google Scholar
[9] Landau, L. D. and Lifshitz, E. M., in Statistical Physics, Part 1, 3 ed. (Pergamon, Oxford, 1980), Chap. 160.Google Scholar
[10] Dzyaloshinskii, I. E., Lifshitz, E. M., and Pitaevskii, L. P., Adv. Phys. 10, 165 (1961).Google Scholar
[11] Kikuchi, R. and Cahn, J. W., Phys. Rev. B 21, 1893 (1980).Google Scholar
[12] Elbaum, M. and Schick, M., Phys. Rev. Lett. 66, 1713 (1991).Google Scholar
[13] Warren, J. A., Kobayashi, R., and Carter, W. C., J. Cryst. Growth 211, 18 (2000).Google Scholar
[14] Lobkovsky, A. E. and Warren, J. A., submitted to Phys. Rev. E (unpublished).Google Scholar
[15] Kobayashi, R., Warren, J. A., and Carter, W. C., Physica D 119, 415 (1998).Google Scholar
[16] Langer, J. S., Directions in condensed matter physics (World Scientific, Philadelphia, 1986), pp. 164–186.Google Scholar
[17] Penrose, O. and Fife, P. C., Physica D 43, 44 (1990).Google Scholar
[18] Cahn, J. W. and Hilliard, J. E., J. Chem. Phys. 28, 258 (1958).Google Scholar