Some steps towards a continuum representation of 3D dislocation systems

Michael Zaiser*, Thomas Hochrainer

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We outline a method for representing the dynamics of interacting curved dislocations in a continuum framework. Starting from a pseudo-continuum representation of the kinematics of discrete lines, we demonstrate how this can be used to derive a set of coupled equations for the densities of screw and edge components. We discuss how long- and short-range dislocation interactions can be treated within this framework, and apply the resulting equations to a simple model of channel slip.

Original languageEnglish
Pages (from-to)717-721
Number of pages5
JournalScripta Materialia
Issue number5
Early online date28 Nov 2005
Publication statusPublished - 1 Mar 2006


  • Dislocation dynamics
  • Size effects
  • Statistical mechanics


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