Continuum dislocation dynamics based on the second order alignment tensor

Research output: Contribution to journalArticleResearchpeer-review

Abstract

In the current paper we present a continuum theory of dislocations based on the second-order alignment tensor in conjunction with the classical dislocation density tensor (Kröner-Nye-tensor) and a scalar dislocation curvature measure. The second-order alignment tensor is a symmetric second order tensor characterizing the orientation distribution of dislocations in elliptic form. It is closely connected to total densities of screw and edge dislocations introduced in the literature. The scalar dislocation curvature density is a conserved quantity the integral of which represents the total number of dislocations in the system. The presented evolution equations of these dislocation density measures partly parallel earlier developed theories based on screw-edge decompositions but handle line length changes and segment reorientation consistently. We demonstrate that the presented equations allow predicting the evolution of a single dislocation loop in a non-trivial velocity field.

Original languageEnglish
Article numbermrsf13-1651-kk06-02
JournalMaterials Research Society Symposium Proceedings
Volume1651
DOIs
Publication statusPublished - 2014

Fingerprint

Tensors
alignment
tensors
continuums
Edge dislocations
Screw dislocations
Dislocations (crystals)
curvature
scalars
screw dislocations
edge dislocations
Decomposition
screws
retraining
velocity distribution
decomposition

Keywords

  • dislocations
  • metal
  • microstructure

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanical Engineering
  • Mechanics of Materials

Cite this

Continuum dislocation dynamics based on the second order alignment tensor. / Hochrainer, Thomas.

In: Materials Research Society Symposium Proceedings, Vol. 1651, mrsf13-1651-kk06-02, 2014.

Research output: Contribution to journalArticleResearchpeer-review

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