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The Energetics of Dislocation-Obstacle Interactions by 3-D Quasicontinuum Simulations

Published online by Cambridge University Press:  15 February 2011

Kedar Hardikar  and
R. Phillips
Kedar Hardikar
Affiliation:
Division of Engineering, Brown University, Providence, RI 02912hardikar@engin.brown.edu
R. Phillips
Affiliation:
Division of Engineering, Brown University, Providence, RI 02912
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Abstract

The goal of this work is to study the interaction of dislocations with local obstacles to glide such as point defects, precipitates and other dislocations. The quasicontinuum method is used as the basis of this study. It is demonstrated that two types of boundary effects are of concern in the calculation of hardening parameters using finite sized simulation cells. A recently developed technique to incorporate periodic boundary conditions in the quasicontinuum method is used to eliminate surface effects which were present in earlier implementations and to simulate a dislocation of infinite extent interacting with an array of obstacles. The second type of boundary effect is due to the boundary conditions on the lateral boundaries. A method based on finite element calculations is proposed for quantifying the effect of lateral boundaries in these simulations. Preliminary results for the validation of the method are presented as well as a simulation of the interaction between a conventional edge dislocation in Al with an array of clusters of Ni atoms.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 578: Symposia A/C – Multiscale Phenomena in Materials - Experiments in Modeling , 1999 , 155
Copyright
Copyright © Materials Research Society 2000

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References

REFERENCES

1. Hull, D., Bacon, D. J. Introduction to Dislocations, 3rd ed.,(Pergamon Press, Oxford, 1984), p. 235.Google Scholar
2. Hirth, J. P., Lothe, J. Theory of Dislocations, 2nd ed., (Krieger Publishing Company, Malabar, Florida, 1982), pp. 681–685, p. 78.Google Scholar
3. Ardell, A. J., Met. Trans. A 16A, 2131–2165 (1985).Google Scholar
4. Butt, M. Z. and Feltham, P., J. Mater. Sci. 28, 2557–2576 (1993).Google Scholar
5. Tadmor, E. B., Ortiz, M..and Phillips, R., Phil. Mag. A 73, 1529 (1996).Google Scholar
6. Shenoy, V. B., Miller, R., Tadmor, E. B., Rodney, D., Phillips, R. and Ortiz, M., J. Mech. Phys. Sol. 47(3), 611–642 (1999).Google Scholar
7. Rodney, D. and Phillips, R., Phys. Rev. Lett. 82 (8), 1704–1707 (1999).Google Scholar
8. Shenoy, V. B. and Phillips, Rob, Phil. Mag. A 76 (2), 367–385(1997).Google Scholar
9. Rao, S., Hernandez, C., Simmons, J. P., Parthasarathy, T. A. and Woodward, C., Phil. Mag. A 77(1), 231–256 (1998).Google Scholar
10. Daw, M. S. and Baskes, M. I., Phys. Rev. Lett. 50, 1285 (1983).Google Scholar
11. Ercolessi, F. and Adams, J., Europhys. Lett. 26, 583 (1993).Google Scholar
12. Voter, A. F. and Chen, S. P. in Characterization of Defects in Materials, edited by Siegel, R., Weertman, J., Sinclair, R. (Mat. Res. Soc. Symp. Proc. 82, Pittsburgh PA, 1987) pp 175–180.Google Scholar