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A dislocation based analysis of continuum mechanical and microscopic local stresses during cyclic deformation of copper

Published online by Cambridge University Press:  31 January 2011

Mukesh Jain
Affiliation:
Department of Mechanical Engineering, University of Manitoba, Winnipeg, Manitoba, R3T2N2, Canada
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Abstract

A relationship between continuum mechanical internal stress variables, kinetic back stress, isotropic drag stress, and microscopic local stresses in the dislocation cell interior and cell walls, is developed based upon Mughrabi's composite model of deformation of heterogeneous microstructure during cyclic deformation in cell forming metals. The experimental data on the evolution of kinematic back stress and isotropic drag stress during cyclic deformation of Cu along with TEM measurements of cell diameter and cell width are utilized to determine the evolution of mobile and immobile dislocation densities in the cell interior and cell walls, respectively, as a function of the number of cycles. The range of values obtained is in agreement with the available experimental data.

Type
Articles
Copyright
Copyright © Materials Research Society 1990

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References

REFERENCES

1Onat, E. T., Report No. ORNL-SUB-3863–2, Yale University (1976).Google Scholar
2Krempl, E., Acta Mech. 69, 25 (1987).CrossRefGoogle Scholar
3Tuegel, E. J., Res. Mech. 22, 65 (1987).Google Scholar
4Miller, A. K., J. Eng. Mat. Tech. 98, 97 (1976).CrossRefGoogle Scholar
5Jain, M., Mater. Sci. Eng. (in press).Google Scholar
6Mughrabi, H., Unger, T., Kienle, W., and Wilkens, M., Phil. Mag. A S3, 193 (1986).Google Scholar
7Mughrabi, H., Mater. Sci. Eng. 85, 15 (1987).CrossRefGoogle Scholar
8Mughrabi, H., Acta Metall. 31, 1367 (1983).CrossRefGoogle Scholar
9Smith, C. S. and Guttman, L., J. Metals 5, 81 (1953).Google Scholar
10Staker, M. R. and Holt, D. L., Acta Metall. 20, 569 (1972).CrossRefGoogle Scholar
11Dadras, P., Scripta Metall. 11, 569 (1977).Google Scholar
12Kousek, H., Bajons, P., and Mullner, H., Phys. Status Solidi A 38, 199 (1976).CrossRefGoogle Scholar
13Buurman, R. Den and Snoep, A. P., Acta Metall. 20, 407 (1972).CrossRefGoogle Scholar
14Koehler, J. S., Imperfection in Nearly Imperfect Crystals, edited by Shockley, W. (John Wiley and Sons, New York, 1952), p. 197.Google Scholar
15Granato, A. and Liicke, K., J. Appl. Phys. 27, 583 (1956).CrossRefGoogle Scholar
16Grosskreutz, J. C. and Mughrabi, H., Constitutive Equations in Plasticity, edited by Argon, A. S. (MIT Press, Cambridge, MA, 1975), p. 251.Google Scholar
17Gerland, M., Mendez, J., Violan, P., and Ait, B.Saadi, Mater. Sci. Eng. A118, 83 (1989).CrossRefGoogle Scholar
18Hatanaka, K., Yamada, T., and Hirose, Y., Bull. JSME 25, 1039 (1982).CrossRefGoogle Scholar
19Charlesley, P. and Robbins, B. A., Mater. Sci. Eng. 14, 189 (1974).CrossRefGoogle Scholar
20Gokyu, I. and Kishi, T., The Thirteenth Japan Congress on Materials Research-Metallic Materials (1970), p. 125.Google Scholar
21Daniel, R. C. and Home, G. T., Metall. Trans. 2, 1161 (1971).CrossRefGoogle Scholar
22Pedersen, O. B., Brown, L. M., and Stobbs, W. M., Acta Metall. 29, 1843 (1981).CrossRefGoogle Scholar
23Shiori, J., Satoh, K., and Nishimura, K., High Velocity Deformation of Solids, edited by Kawata, K. and Shiori, J. (Springer-Verlag, Berlin, 1978), p. 50.Google Scholar