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Phase Field Methods and Dislocationss

Published online by Cambridge University Press:  21 March 2011

D. Rodney and
A. Finel
D. Rodney
Affiliation:
Laboratoire d'Etude des microstrctures, CNRS-ONERA, B.P. 72, 92322 Chatillon Cedex, France
A. Finel
Affiliation:
Laboratoire d'Etude des microstrctures, CNRS-ONERA, B.P. 72, 92322 Chatillon Cedex, France
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Abstract

We present a general formalism for incorporating dislocations in Phas Field methods. This formalism is based on the elastic equiva;ence betweem a dislocation loop and a platelet inclusion of specific stress-free strain related to the loop Burgers vector and normal. Dislocations are thus treated as platelet inclusions and may be coupled dynamically to any other field such as a concentration field. The method is illustrated through the simulation of a Frank-Read source and of the shrinkage of a loop in presence of a concentration field.

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References

REFERENCES

[1] Phase transformations and Evolution in Materials, edited by Turchi, P.E.A. and Gonis, A. (The Minerals, Metals a Materials Society, Warrendale, Pennsylvania, 2000).Google Scholar
[2] Khachaturyan, A.G., Theory of Structural Transformation in Solids (Wiley, New York, 1983).Google Scholar
[3] Larché, F. C., in Dislocations in Solids, edited by Nabarro, F.R.N. (North-Holland, Amsterdam, 1979), Vol. 4, P.135.Google Scholar
[4] Léonard, F. and Desai, R. C., Phys. Rev. B 58, 8277 (1998).Google Scholar
[5] Hu, S.Y. and Chen, L.Q., to appear in Acta Met. (2000).Google Scholar
[6] Devincre, B., Kubin, L.P., Lemarchand, C. and Madec, R., to appear in Mat. Sci and Eng. A (2001).Google Scholar
[7] Finel, A., submitted to Phys. Rev. Lett. (2000).Google Scholar
[8] Wang, Y.U., Jin, Y.M., Cuitiño, A.M. and Khachaturyan, A.G., submitted to Acta Mater. (2000).Google Scholar
[9] Nabarro, F.R.N., Phil. Mag. 42, 1224 (1951).Google Scholar
[10] Landau, L.D. and Lifshitz, E.M., Theory of Elasticity 3rd ed. in Landau Course on Theory (Pergamon Press, Oxford, 1986).Google Scholar
[11] Peierls, R.E., Proc. Phys. Soc. 52, 23 (1940); F.R.N. Nabarro, Proc. Phys. Soc. 59, 256 (1947).Google Scholar