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Computer Modelling of Dynamically-Induced Dislocation Patterning

Published online by Cambridge University Press:  01 January 1992

Benoit Devincre
Affiliation:
Section d'Etude des Solides Irradiés, CEA-CEREM, Ecole Polytechnique, 91128 Palaiseau Cedex, France
Vassilis Pontikis
Affiliation:
Section d'Etude des Solides Irradiés, CEA-CEREM, Ecole Polytechnique, 91128 Palaiseau Cedex, France
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Abstract

The evolution of a random and initially homogeneous distribution of parallel and infinitely extended edge dislocations is studied by using elastic energy minimization without and in presence of a periodic external stress, τa. During the energy minimization without external stress (relaxation), randomly distributed dislocation dipoles are formed whereas, when the external stress is acting, the dislocations condense in walls. We investigated the spatial periodicity of this microstructure, λ, as a function of, τa, and of the total dislocation density. The elastic energy of the stress-induced microstructure is found to be comparable to the value obtained by relaxation. Thereby, emphasis is given to the dynamical character of patterning. A phenomenological model has been developed, explaining the correlation between λ and τa found in the simulations and comparing favorably with existing experimental data.

Type
Research Article
Copyright
Copyright © Materials Research Society 1993

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References

REFERENCES

1. Kubin, L. P., “Dislocation patterning”, in Treatise on Materials Science and Technology. Cahn, R. W., Haasen, P. and Kramer, E. J. Eds., vol 6, Chap 4, VCH, Weinberg (1991).Google Scholar
2.VIEWPOINT SET N°20, Scripta Met., 22, 947 (1992).Google Scholar
3. Lepinoux, J. and Kubin, L. P., Scripta Met., 21, 833 (1987).Google Scholar
4. Ghoniem, N. M. and Amodeo, R. J., Phys. Rev. B, 41, 6958 (1989).Google Scholar
5. Gulluoglu, A. N., Srolovitz, D. J., LeSar, R. and Lomdahl, P. S., Scripta Met., 22, 1347 (1989).Google Scholar
6. Hesselbarth, H. W. and Steck, E., in Non Linear Phenomena in Materials Science II. Trans Tech Publications, CH-Aedermannsdorf (1992).Google Scholar
7. Kubin, L. P., Canova, G., Condat, M., Devincre, B., Pontikis, V. and Brechet, Y., in Non Linear Phenomena in Materials Science II. Trans Tech Publications, CH-Aedermannsdorf (1992).Google Scholar
8. Devincre, B. and Condat, M., Acta, metall., 40, 2629 (1992)Google Scholar
9. Essmann, U. and Mughrabi, H., Phil. Mag. A, 40, 731 (1979).Google Scholar
10. Hirth, J. P. and Lothe, J., “Theory of dislocations”, Wiley Interscience (1982).Google Scholar
11. Devincre, B. and Pontikis, V., in preparation.Google Scholar
12. Staker, M.R. and Holt, D.M., Acta metall., 20, 569 (1972)Google Scholar
13. Raj, S. V. and Pharr, G. M., Mat. Sci. Eng., 81, 217 (1986).Google Scholar
14. Holt, D. L., J. Appl. Phys., 41, 3197 (1970).Google Scholar
15. Walgraef, D. and Aifantis, E. C., J. Appl. Phys., 688 (1985).Google Scholar
16. Kratochvil, J., Rev. Phys. Appliquée, 21, 419 (1988).Google Scholar