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Relative Helicity and Jog Densities in Continuum Descriptions of Dislocations

  • Thomas Hochrainer (a1)

Abstract

Dislocations are line like crystal defects mediating plasticity in single crystals. In the current contribution we review classical continuum concepts of dislocation theory from a topological view point. Subsequently, we introduce a new measure for the density of jogs mutually impaired on each other by dislocations on different slip systems. This jog density is closely related to a topological measure of the interlinkage of the dislocations on the involved slip systems, known as relative helicity in other branches of physics.

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[1] Hochrainer, T., Philos. Mag. 95, 13211367 (2015)
[2] Hirth, J. P. and Lothe, J., Theory of Dislocations, 2nd ed. (Krieger, 1982) p.792.
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Relative Helicity and Jog Densities in Continuum Descriptions of Dislocations

  • Thomas Hochrainer (a1)

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