Advanced time integration algorithms for dislocation dynamics simulations of work hardening

Ryan B. Sills, Amin Aghaei, Wei Cai

Research output: Contribution to journalArticlepeer-review

30 Scopus citations


Efficient time integration is a necessity for dislocation dynamics simulations of work hardening to achieve experimentally relevant strains. In this work, an efficient time integration scheme using a high order explicit method with time step subcycling and a newly-developed collision detection algorithm are evaluated. First, time integrator performance is examined for an annihilating Frank-Read source, showing the effects of dislocation line collision. The integrator with subcycling is found to significantly out-perform other integration schemes. The performance of the time integration and collision detection algorithms is then tested in a work hardening simulation. The new algorithms show a 100-fold speed-up relative to traditional schemes. Subcycling is shown to improve efficiency significantly while maintaining an accurate solution, and the new collision algorithm allows an arbitrarily large time step size without missing collisions.

Original languageEnglish (US)
Article number045019
JournalModelling and Simulation in Materials Science and Engineering
Issue number4
StatePublished - Apr 25 2016
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Computer Science Applications


  • dislocation dynamics
  • subcycling
  • time integration


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