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Modelling the Effect of Composition on the Stability of Equilibrium Intergranular Films with Diffuse Interfaces

Published online by Cambridge University Press:  10 February 2011

C. M. Bishop  and
W. C. Carter
C. M. Bishop
Affiliation:
Dept. of Materials Science and Engineering, Massachusetts Institute of Technology
W. C. Carter
Affiliation:
Dept. of Materials Science and Engineering, Massachusetts Institute of Technology
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Abstract

Current understanding of the equilibrium thickness of interfacial films derives from models which balance a steric repulsion against an attractive force between abutting crystals such as the van der Waals forces [1]. Recent experimental observations indicate that, a) film thickness is a non-monotonic function of additions of impurities and b) impurities are non-uniformly distributed in the interfacial phases and triple junctions [2]. We have developed a model which couples the steric terms which affect the equilibrium thickness with composition for a semi-infinite film in equilibrium with a chemical reservoir at a fixed composition.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 586: Symposium M – Interfacial Engineering for Optimized Properties II , 1999 , 75
Copyright
Copyright © Materials Research Society 2000

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References

REFERENCES

[1] Clarke, D., “On the equilibrium thickness of intergranular glass phases in ceramic materials,” J. Am. Ceram. Soc., vol.70, pp. 15–22, 1987.Google Scholar
[2] Gu, H., Pan, X., Cannon, R., and Rühle, M., “Dopant distribution in grain-boundary films in calcia-doped silicon nitride ceramics,” J. Am. Ceram. Soc., vol.81, pp. 3125–3125, 1998.Google Scholar
[3] Luo, J. and Chiang, Y.-M., “Equilibrium-thickness amorphous films on 1120 surfaces of Bi2O3-doped ZnO,” Journal of European Ceramic Society, vol.19, pp. 697–701, 1999.Google Scholar
[4] Bobeth, M., Clarke, D., and Pompe, W., “A diffuse interface description of intergranularfilms in polycrystlline ceramics,” J. Am. Ceram. Soc., vol.82, pp. 1537–1546, 1999.Google Scholar
[5] Ackler, H., Carter, W.C., and Chiang, Y.-M., “Contribution of structure to thermodynamics of thin amorphous films constrained between crystal faces.” submitted to J. Am.Ceram. Soc., 1999.Google Scholar
[6] Kobayashi, R., Warren, J., and Carter, W., “A simple continuum model of grain boundaries.” submitted to Physics Review A, 1999.Google Scholar
[7] Huang, C., Cruz, M. de la, and Voorhees, P., “Interfacial adsorption in ternary alloys,” Acta Materialia, vol.47, pp. 4449–4459, 1999.Google Scholar