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Relative Helicity and Jog Densities in Continuum Descriptions of Dislocations

Published online by Cambridge University Press:  11 February 2016

Thomas Hochrainer
Thomas Hochrainer*
Affiliation:
Universität Bremen, IW3, Am Biologischen Garten 2, 28359 Bremen, Germany.
*
*(Email: hochrain@uni-bremen.de)
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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.

Keywords

dislocationsstress/strain relationshipmetal

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Type
Articles
Information
MRS Advances , Volume 1 , Issue 25: Theory, Characterization, and Modeling , 2016 , pp. 1847 - 1852
Copyright
Copyright © Materials Research Society 2016 

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References

REFERENCES

Hochrainer, T., Philos. Mag. 95, 1321–1367 (2015)Google Scholar
Hirth, J. P. and Lothe, J., Theory of Dislocations, 2nd ed. (Krieger, 1982) p.792.Google Scholar
Buehler, M. et al., Acta Mech Sinica 21, 103–111 (2005)CrossRefGoogle Scholar
Berger, M. A. and Field, G. B., J. Fluid Mech. 147, 133–148 (1984).Google Scholar
Müller, S. and Spaeth, P., Ergodic Theory Dyn. Syst. 33, 1550–1583 (2013)Google Scholar
de Rham, G., Differentiable Manifolds (Springer 1984) p. 144 Google Scholar
Kröner, E., Kontinuumstheorie der Versetzungen und Eigenspannungen (Springer, 1958) p. 24.Google Scholar
Vegge, T. et al., Mater. Sci. Eng. A 319–321, 119–123, (2001)CrossRefGoogle Scholar