Dislocated and Oriented Media

  • R. A. Toupin
Conference paper
Part of the IUTAM Symposia book series (IUTAM)

Abstract

A continuum model of perfect or dislocated crystals is considered, and it is shown how one can view such a crystalline medium as an oriented medium, and as a material manifold with an irrotational law of distant parallelism. In dislocated crystals with twist, the Burgers vectors of homologous cycles are not independent of the cycles unless the amount of twist is restricted.

Keywords

Burger Vector Lattice Vector Perfect Crystal Rigid Transformation Crystalline Medium 
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References

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    Fox, N. : A Continuum Theory of Dislocations for Single Crystals. J. Inst. Maths. Appl. 2, 285 (1966).CrossRefGoogle Scholar
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Copyright information

© Springer-Verlag Berlin Heidelberg 1968

Authors and Affiliations

  • R. A. Toupin
    • 1
  1. 1.IBM Zürich Research LaboratoryRüschlikon-ZHSwitzerland

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