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Advanced time integration algorithms for dislocation dynamics simulations of work hardening

Journal Article · · Modelling and Simulation in Materials Science and Engineering
 [1];  [2];  [2]
  1. Stanford Univ., Stanford, CA (United States); Sandia National Lab. (SNL-CA), Livermore, CA (United States)
  2. Stanford Univ., Stanford, CA (United States)

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. As a result, 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.

Research Organization:
Sandia National Laboratories (SNL-CA), Livermore, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Grant/Contract Number:
AC04-94AL85000
OSTI ID:
1319494
Alternate ID(s):
OSTI ID: 1250064
OSTI ID: 22747907
Report Number(s):
SAND--2015-10883J; 617636
Journal Information:
Modelling and Simulation in Materials Science and Engineering, Journal Name: Modelling and Simulation in Materials Science and Engineering Journal Issue: 4 Vol. 24; ISSN 0965-0393
Publisher:
IOP PublishingCopyright Statement
Country of Publication:
United States
Language:
English

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Cited By (3)

Fundamentals of Dislocation Dynamics Simulations book January 2016
A spectral approach for discrete dislocation dynamics simulations of nanoindentation journal May 2018
GPU-accelerated dislocation dynamics using subcycling time-integration journal August 2019

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