Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-29T04:56:04.091Z Has data issue: false hasContentIssue false
  • English
  • Français

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)
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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