Zaiser M (2015)
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2015
Publisher: American Physical Society
Book Volume: 92
Journal Issue: 17
DOI: 10.1103/PhysRevB.92.174120
The elastic energy functional of a system of discrete dislocation lines is well known from dislocation theory. In this paper, we demonstrate how the discrete functional can be used to systematically derive approximations which express the elastic energy in terms of dislocation densitylike variables which average over the discrete dislocation configurations and represent the dislocation system on scales above the spacing of the individual dislocation lines. We study the simple case of two-dimensional systems of straight dislocation lines before we proceed to derive energy functionals for systems of three-dimensionally curved dislocation lines pertaining to a single as well as to multiple slip systems. We then illustrate several applications of the theory including Debye screening of dislocations in two and three dimensions, and the derivation of back stress and friction stress terms entering the stress balance from the free-energy functionals.
APA:
Zaiser, M. (2015). Local density approximation for the energy functional of three-dimensional dislocation systems. Physical Review B, 92(17). https://dx.doi.org/10.1103/PhysRevB.92.174120
MLA:
Zaiser, Michael. "Local density approximation for the energy functional of three-dimensional dislocation systems." Physical Review B 92.17 (2015).
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