Hostname: page-component-77c89778f8-gq7q9 Total loading time: 0 Render date: 2024-07-18T14:02:51.863Z Has data issue: false hasContentIssue false

Elastic Distortion of Dislocations in Deforming FCC Crystals

Published online by Cambridge University Press:  20 September 2011

Mamdouh Mohamed
Affiliation:
Department of Scientific Computing, Florida State University, Tallahassee, FL, USA
Anter El-Azab*
Affiliation:
Department of Scientific Computing, Florida State University, Tallahassee, FL, USA
B. C. Larson
Affiliation:
Materials Sciences and Technology Division, Oak Ridge National Laboratory, Oak Ridge, TN, USA
*
*Corresponding author. E-mail address: aelazab@fsu.edu
Get access

Abstract

A computational technique is developed to predict the statistics of internal elastic fields of three-dimensional dislocation systems in deforming crystals. The internal elastic fields are computed based on 3D dislocation realizations generated by the method of dislocation dynamics simulation. Preliminary results are presented for the statistical characteristics of the elastic strain, lattice rotation and dislocation density tensor fields. The importance of the current analysis is discussed in the context of direct comparison of simulations with spatially resolved 3D X-ray microscopy measurements of lattice rotation and the dislocation density tensor.

Type
Research Article
Copyright
Copyright © Materials Research Society 2011

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] Kroner, E., “Continuum theory of defects,” in Physics of Defects, Edited by Balian, R., Kleman, M. and Poirier, J. (North-Holland, Amsterdam 1981) pp. 282315.Google Scholar
[2] Larson, B. C., Yang, W., Ice, G. E., Budia, J. and Tischler, J. Z., Nature 415, 887 (2002).Google Scholar
[3] Larson, B. C., El-Azab, A., Yang, W., Tischler, J. Z., Liu, W., and Ice, G. E., Phil. Mag. 87, 1327 (2007).Google Scholar
[4] Larson, B. C., Tischler, J. Z., El-Azab, A. and Liu, W., J. Eng. Mater. Tech. 130, 021024–1 (2008).Google Scholar
[5] Devincre, B., “Mesoscale simulation of the dislocation dynamics,” in Computer Simulation in Materials Science, Edited by Kirchner, H., Pontikis, V. and Kubin, L. (Kluwer, Dordrecht 1996), pp. 309323.Google Scholar
[6] Hirth, J. and Lothe, J., Theory of Dislocations (John Wiley & Sons, New York 1982).Google Scholar
[7] Cai, W., Arsenlis, A., Weinberger, C. and Bulatov, V., J. Mech. Phys. Solids 54, 561 (2006).Google Scholar
[8] El-Azab, Anter, Modell. Simul. Mater. Sci. Engng. 8, 37 (2000).Google Scholar
[9] El-Azab, A. and Deng, J., On the statistics of internal stress of 3D dislocation systems, to be published.Google Scholar
[10] Deng, J., El-Azab, A. and Larson, B., Phil. Mag. 88, 3527 (2008).Google Scholar
[11] Larson, B. et al. , to be published.Google Scholar