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Completion of the Linear 0-Lattice Theory and Extension to Non-Linear Problems

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Crystal Defects and Crystalline Interfaces
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Abstract

In this chapter, it will be shown how the definitions of dislocations and Burgers vectors can be extended to general crystalline interfaces. The conventional definitions of dislocations in single crystals will appear as special cases of the more general definitions. It will further be shown that practically every crystalline interface can be interpreted as a “dislocation network”, and a systematics of these networks shall be presented. The three grain problem will also be outlined. With this chapter, the linear geometrical theory of crystalline interfaces is essentially closed.

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References

  1. Bollmann, W.: (Symposia, ref. 3).

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  2. Gleiter, H.: Acta Met. 17, 565 (1969a)

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  3. Gleiter, H.: Acta Met. 17, 858 (1969b).

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  4. Marcinkowski, M. J.: (Symposia, ref. 3).

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  5. Sleeswyk, A. W.: Physique des dislocations (Ref. Symposia), p. 78.

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  6. Bollmann, W.: Dislocation dynamics (Ref. Symposia), p. 275.

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© 1970 Springer-Verlag Berlin Heidelberg

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Bollmann, W. (1970). Completion of the Linear 0-Lattice Theory and Extension to Non-Linear Problems. In: Crystal Defects and Crystalline Interfaces. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-49173-3_14

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  • DOI: https://doi.org/10.1007/978-3-642-49173-3_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-49175-7

  • Online ISBN: 978-3-642-49173-3

  • eBook Packages: Springer Book Archive

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