Discrete dislocation dynamics for crystal RVEs. Part 1: Periodic network kinematics

Yash Pachaury, Giacomo Po, Anter El-Azab

Research output: Contribution to journalArticlepeer-review


A novel implementation of the dislocation flux boundary condition in discrete dislocation dynamics is presented. The continuity of the individual dislocation loops in a periodic representative crystal volume (RVE) is enforced across the boundary of the RVE with the help of a dual topological description for representing dislocation line kinematics in two equivalent spaces representing the deforming crystal, the RVE and the unbounded crystal spaces. The former describes the motion of the dislocations in the simulated crystal RVE whereas the latter represents the motion of dislocations in an infinite space containing all replicas of the RVE. A mapping between the two spaces forms the basis of the implementation of flux boundary condition. The implementation details are discussed in the context of statistical homogeneity of bulk crystals undergoing macroscopically homogeneous plastic deformation. In this case, the boundary nodes associated with dislocation segments bear no relevance in the motion of the dislocations. Some test cases are presented and discussed to establish the proposed approach.

Original languageEnglish (US)
Article number104861
JournalJournal of the Mechanics and Physics of Solids
StatePublished - Jun 2022


  • Bulk crystal plasticity
  • Discrete dislocation dynamics
  • Representative volume element (RVE)
  • Statistical homogeneity

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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