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.
Similar content being viewed by others
References
E.T. Onat, Report No. ORNL-SUB-3863-2, Yale University (1976).
E. Krempl, Acta Mech. 69, 25 (1987).
E. J. Tuegel, Res. Mech. 22, 65 (1987).
A. K. Miller, J. Eng. Mat. Tech. 98, 97 (1976).
M. Jain, Mater. Sci. Eng. (in press).
H. Mughrabi, T. Unger, W. Kienle, and M. Wilkens, Phil. Mag. A 53, 193 (1986).
H. Mughrabi, Mater. Sci. Eng. 85, 15 (1987).
H. Mughrabi, Acta Metall. 31, 1367 (1983).
C. S. Smith and L. Guttman, J. Metals 5, 81 (1953).
M. R. Staker and D. L. Holt, Acta Metall. 20, 569 (1972).
P. Dadras, Scripta Metall. 11, 569 (1977).
H. Kousek, P. Bajons, and H. Mullner, Phys. Status Solidi A 38, 199 (1976).
R. Den Buurman and A. P. Snoep, Acta Metall. 20, 407 (1972).
J. S. Koehler, Imperfection in Nearly Imperfect Crystals, edited by W. Shockley (John Wiley and Sons, New York, 1952), p. 197.
A. Granato and K. Lücke, J. Appl. Phys. 27, 583 (1956).
J. C. Grosskreutz and H. Mughrabi, Constitutive Equations in Plasticity, edited by A. S. Argon (MIT Press, Cambridge, MA, 1975), p. 251.
M. Gerland, J. Mendez, P. Violan, and B. Ait Saadi, Mater. Sci. Eng. A118, 83 (1989).
K. Hatanaka, T. Yamada, and Y. Hirose, Bull. JSME 25, 1039 (1982).
P. Charlesley and B. A. Robbins, Mater. Sci. Eng. 14, 189 (1974).
I. Gokyu and T. Kishi, The Thirteenth Japan Congress on Materials Research–Metallic Materials (1970), p. 125.
R.C. Daniel and G.T. Horne, Metall. Trans. 2, 1161 (1971).
O. B. Pedersen, L. M. Brown, and W. M. Stobbs, Acta Metall. 29, 1843 (1981).
J. Shiori, K. Satoh, and K. Nishimura, High Velocity Deformation of Solids, edited by K. Kawata and J. Shiori (Springer-Verlag, Berlin, 1978), p. 50.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Jain, M. A dislocation based analysis of continuum mechanical and microscopic local stresses during cyclic deformation of copper. Journal of Materials Research 5, 2079–2093 (1990). https://doi.org/10.1557/JMR.1990.2079
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1557/JMR.1990.2079