Hostname: page-component-848d4c4894-r5zm4 Total loading time: 0 Render date: 2024-07-01T12:16:55.694Z Has data issue: false hasContentIssue false

Statistics of Internal Elastic Fields and Dislocation Density Tensor in Deformed FCC Crystals

Published online by Cambridge University Press:  12 September 2011

Jie Deng
Affiliation:
Mechanical Engineering Department, Florida State University, Tallahassee, FL 32310, USA
Anter El-Azab
Affiliation:
Scientific Computing Department, Florida State University, Tallahassee, FL 32306, USA
B.C. Larson
Affiliation:
Materials Science and Technology Division, Oak Ridge Nat. Lab., Oak Ridge, TN 37831, USA
Get access

Abstract

The statistics of internal elastic fields and dislocation density tensor associated with arbitrary 3D dislocation distributions have been modeled using probability density function and pair correlations. Numerical results for these quantities have been obtained for dislocation structures generated by the method of dislocation dynamics simulation.

Type
Research Article
Copyright
Copyright © Materials Research Society 2008

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1. Groma, I. and Bako, B., Physical Review B, 63, 224012 (1998).Google Scholar
2. Csikor, F. and Groma, I., Physical Review B, 70, 064106 (2004).Google Scholar
3. Zaiser, M. and Seeger, A., “Long-range internal stresses, dislocation patterning and workhardening in crystal plasticity,” in: Dislocations in Solids, Volume 11, ed. Nabarro, F.R. and Duesbery, M.S. (Elsevier Science, Amsterdam 2002) pp. 1101.Google Scholar
4. Larson, B.C., Yang, W., Ice, G.E., Budai, J. and Tischler, J.Z., Nature, 415, 887 (2002).Google Scholar
5. Larson, B.C., El-Azab, A., Yang, W., Tischler, J. Z., Liu, W. and Ice, G.E., Philosophical Magazine, 87, 1327 (2007).Google Scholar
6. Larson, B.C., Tischler, J.Z., El-Azab, A. and Liu, W., Journal of Engineering Materials and Technology, 130, 0210241 (2008).Google Scholar
7. Devincre, B., “Mesoscale simulation of the dislocation dynamics,” in: Computer Simulation in Materials Science, ed. Kirchner, H., Pontikis, V. and Kubin, L. (Kluwer, Dordrecht 1996), pp. 309323.Google Scholar
8. Hirth, J. and Lothe, J., Theory of Dislocations, (John Wiley & Sons, New York 1982).Google Scholar
9. Kröner, E., “Continuum theory of defects,” in: Physics of Defects, ed. Balian, R., Kleman, M. and Poirier, J. (North-Holland, Amsterdam, 1981), pp. 282315.Google Scholar
10. Nye, J. F., Acta Metall., 1, 153 (1953).Google Scholar