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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.

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References

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