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Plasticity of Crystals with Disordered Microstructure: Scale-dependent Fluctuations of Stress and Strain

Published online by Cambridge University Press:  09 January 2014

Olga Kapetanou  and
Michael Zaiser
Olga Kapetanou
Affiliation:
School of Engineering, Institute for Materials and Processes, The University of Edinburgh, Edinburgh EH93JL, UK
Michael Zaiser
Affiliation:
School of Engineering, Institute for Materials and Processes, The University of Edinburgh, Edinburgh EH93JL, UK Institute for Materials Simulation (WW8), Friedrich-Alexander-University Erlangen-Nürnberg, Dr.-Mack-Str. 77, 90762 Fürth, Germany.
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Abstract

A generic model of bulk crystal plasticity with stochastic evolution of the local microstructure is formulated. The evolution of local fluctuations of internal stress and plastic strain, as well as the cross correlation between these variables, is investigated for different loading modes (stress control vs. displacement control) as a function of the coarse graining scale, and the spatial structure of the respective correlation functions is determined. The investigations demonstrate that, after an initial transient characterized by uncorrelated initiation of plasticity in different sample locations, nontrivial long range correlations emerge both within the strain pattern and between the internal stress and plastic strain patterns. The internal stresses, on the other hand, remain short range correlated throughout. Implications of our findings for larger-scale plasticity models are discussed.

Keywords

crystaldislocationssimulation
Type
Articles
Information
MRS Online Proceedings Library (OPL) , Volume 1651: Symposium KK – Adaptive Soft Matter through Molecular Networks , 2014 , mrsf13-1651-kk07-08
Copyright
Copyright © Materials Research Society 2014 

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References

REFERENCES

Zaiser, M., Adv. Phys. 54, 185 (2006).CrossRefGoogle Scholar
Csikor, F. F., Motz, C., Weygand, D., Zaiser, M. and Zapperi, S., Science 318, 251 (2007).CrossRefGoogle Scholar
Miguel, M.-C., Vespignani, A., Zapperi, S., Weiss, J. and Grasso, J.R., Nature 410, 667 (2001).CrossRefGoogle Scholar
Richeton, T., Dobron, P., Chmelik, F., Weiss, J. and Louchet, F., Mater. Sci. Engng. A 424, 190 (2006).CrossRefGoogle Scholar
Zaiser, M. and Moretti, P., J. Stat. Mech. P08004 (2005).Google Scholar
Tsekenis, G., Uhl, J.T., Goldenfeld, N. and Dahmen, K.A., Europhys. Lett. 101, 36003 (2013).CrossRefGoogle Scholar
Zaiser, M. and Nikitas, N., J. Stat. Mech. P04013 (2007).Google Scholar
Zaiser, M., Madani, F., Koutsos, V. and Aifantis, E.C., Phys. Rev. Letters 93, 195507 (2004).CrossRefGoogle Scholar
Schwerdtfeger, J., Nadgorny, E., Koutsos, V., Blackford, J.R. and Zaiser, M., Acta Mater. 58, 4859 (2010).CrossRefGoogle Scholar
Zaiser, M. and Seeger, A., “Long-range Internal Stresses, Dislocation Patterning and Work Hardening in Crystal Plasticity”, Dislocations in Solids Vol. 11, ed. Nabarro, F.R.N. and Duesbery, M.S. (Elsevier, 2002) pp. 1–100.CrossRefGoogle Scholar
Mughrabi, H., Acta Metall. 31, 1367 (1983).CrossRefGoogle Scholar
Hähner, P. and Zaiser, M., Acta Mater. 45, 1067 (1997).CrossRefGoogle Scholar