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Dislocation Walls in Finite Media: The Case of an Infinite Slab

Published online by Cambridge University Press:  14 March 2011

M. Surh  and
W. G. Wolfer
M. Surh
Affiliation:
Lawrence Livermore National Laboratory, Livermore, CA 94550
W. G. Wolfer
Affiliation:
Lawrence Livermore National Laboratory, Livermore, CA 94550
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Abstract

The dislocation microstructure observed in solids exhibits cellular patterns. The interiors of these cells are depleted of dislocations while the walls contain dense bundles including the geometrically necessary dislocations leading to misorientations of the crystal lattice on either side. This clustering is the result of short-range interactions which favor the formation of dislocation dipoles or multipoles and tilt and twist boundaries. While this short-range ordering of dislocations is readily understood, the long-range pattern formation is still being studied. We examine finite tilt boundaries in an infinite medium, a model grain, and a free slab to investigate the conditions for long-range stress interactions. We find that finite tilt walls in a larger medium generally possess a long-range stress field because the local bending at the tilt wall is constrained by the surrounding material.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 683: Symposium BB – Materials Instabilities and Patterning in Metals , 2001 , BB1.2.1
Copyright
Copyright © Materials Research Society 2001

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References

REFERENCES

[1] Li, J.C.M., in Electron Microscopy and Strength of Crystals, ed. By Thomas, G. and Washburn, J., Wiley & Sons 1963, chapter 15.Google Scholar
[2] Li, J.C.M., Acta Met. 8 (1960) 563 Google Scholar
[3] Ray, C. and Saada, G., Phil. Mag. 33 (1976) 825 Google Scholar
[4] Saada, G., Acta Met. 27 (1979) 921 Google Scholar
[5] Bouchaud, E. and Bouchaud, J.-P., Phil. Mag. 65 (1992) 339 Google Scholar
[6] Lubarda, V.A., Blume, J.A., and Needleman, A., Acta metall. mater. 41 (1992) 625 Google Scholar
[7] Saada, G. and Bouchaud, E., Acta metall. mater. 41 (1992) 2173 Google Scholar
[8] Nazarov, A.A. and Romanov, A.E., Phil. Mag. 68 (1993) 297 Google Scholar
[9] Nazarov, A.A., Romanov, A.E., and Baudlet, B., Phil. Mag. Letters 68 (1993) 303 Google Scholar
[10] Raabe, D., phys. stat. sol. (b) 192 (1995)Google Scholar
[11] Hughes, D.A., Chrzan, D.C., Liu, Q., and Hansen, N., Phys. Rev Lett. 81 (1998) 4664.Google Scholar
[12] Godfrey, A. and Hughes, D.A., Acta mater. 48 (2000) 1897.Google Scholar
[13] Hughes, D.A. and Hansen, N., Acta mater. 48 (2000) 2985.Google Scholar
[14] Adams, J.B., Wolfer, W.G., and Foiles, S.M., Phys. Rev. B 40 (1989) 9479 Google Scholar
[15] Wolf, D. and Lutsko, J.F., J. Mater. Res. 4 (1989) 1427.Google Scholar
[16] Siems, R., Delavignette, P., and Amelinckx, S., Phys. Stat. Solidi 2 (1962) 421.Google Scholar
[17] Nabarro, F.R.N. and Kostlan, E.J., J. Appl. Phys. 49 (1978) 5445.Google Scholar
[18] Little, R.W., Elasticity, Prentice-Hall 1973, chapter 7.Google Scholar