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Dislocation patterning: tochastic approach to mesoscale modeling

Published online by Cambridge University Press:  21 March 2011

Peter Häahner*
Affiliation:
Joint Research Centre of the European Commission, Institute for Advanced aterials, -1755 ZG Petten, The Netherlands
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Abstract

Plastic deformation by dislocation glide is known to be associated with the spontaneous formation of mesoscopic patterns of various types, e.g. cellular dislocation structures during unidirectional deformation and quasi-periodic persistent slip band structures during cyclic deformation. hile it is recognized that dislocation patterning represents a dissipative far-from-equilibrium process, theoretical modelling of those phenomena is complicated by the long-range nature of dislocation interactions inducing collective dislocation behaviour on a mesoscopic scale. n this paper the problem is addressed using a stochastic approach with random uctuations acting on the evolution of the dislocation ensemble. he intensity of the uctuations is determined self-consistently from dynamic dislocation interactions and, hence, re ects correlated dislocation motion. t is shown that those uctuations may induce dislocation patterns by stabilizing non-uniform dislocation distributions. icrostructure-based models are presented for unidirectional and cyclic plastic deformation. n the rst case fractal dislocations distributions corresponding to hierarchically organized dislocation cell structures are obtained, while in the latter case a decomposition into dislocation-rich walls or veins and depleted channels is found, which are associated with the formation of persistent slip bands and matrix structures. he good agreement with experimental observations in single-crystalline f.c.c. metals points at the importance of collective dislocation e ects in the self-organization of those structures.

Type
Research Article
Copyright
Copyright © Materials Research Society 2001

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References

REFERENCES

[1] Aifantis, E.C., Int. J. Engng. Sci., 30, 1279 (1992).Google Scholar
[2] Kratochvil, J. and Orlova, A., Phil. Mag. A, 61, 281 (1990).Google Scholar
[3] Kubin, L.P., Dislocation Patterning, Treatise in Materials Science and Technology, Vol. 6, ed. Mughrabi, H. (VCH, 1993) pp.137190.Google Scholar
[4] Haken, H. Advanced Synergetics. (Springer, 1983).Google Scholar
[5] Häahner, P., Appl. Phys. A, 62, 473 (1996).Google Scholar
[6] Häahner, P., Acta mater., 44, 2345 (1996).Google Scholar
[7] Häahner, P. and Zaiser, M., Acta mater., 45, 1067 (1997).Google Scholar
[8] Frisch, U., Turbulence: The Legacy of A.N. Kolmogorov (Cambridge University Press, 1995).Google Scholar
[9] Zaiser, M. and Häahner, P., phys. stat. sol. (b), 199, 267 (1997).Google Scholar
[10] Horsthemke, W. and Lefever, R., Noise-Induced Transitions. (Springer, 1994).Google Scholar
[11] Kampen, N.G. van, Stochastic Processes in Physics and Chemistry (North-Holland, 1981).Google Scholar
[12] Häahner, P., Bay, K. and Zaiser, M., Phys. Rev. Lett., 81, 2470 (1998).Google Scholar
[13] Zaiser, M., Bay, K. and Häahner, P., Acta mater., 47, 2463 (1999).Google Scholar
[14] Häahner, P. and Zaiser, M., Mater. Sci. Eng. A, 272, 443 (1999).Google Scholar
[15] Holt, D.L., J. Appl. Phys., 41, 3197 (1970).Google Scholar
[16] Kuhlmann-Wilsdorf, D., Phil. Mag. A, 79, 955 (1999).Google Scholar
[17] Mughrabi, H., Dislocations in Fatigue; Dislocations and Properties of Real Metals, (Book No. 323) (The Institute of Metals, 1985) pp.244262.Google Scholar
[18] Basinski, Z.S. and Basinski, S.J., Progr. Mater. Sci., 36, 89 (1992).Google Scholar
[19] Häahner, P., Appl. Phys. A, 63, 45 (1996).Google Scholar
[20] Tippelt, B., Bretschneider, J. and Häahner, P., phys. stat. sol. (a), 163, 11 (1997).Google Scholar