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Title: 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 Lab. (SNL-CA), Livermore, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC04-94AL85000; SC0010412
OSTI ID:
1319494
Alternate ID(s):
OSTI ID: 1250064
Report Number(s):
SAND-2015-10883J; 617636
Journal Information:
Modelling and Simulation in Materials Science and Engineering, Vol. 24, Issue 4; ISSN 0965-0393
Publisher:
IOP PublishingCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 27 works
Citation information provided by
Web of Science

References (16)

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Efficient time integration in dislocation dynamics journal January 2014
Enabling strain hardening simulations with dislocation dynamics journal July 2007
Implicit integration methods for dislocation dynamics journal January 2015
Dislocation Microstructures and Plastic Flow: A 3D Simulation journal January 1992
A 3D mesoscopic approach for discrete dislocation dynamics journal July 2001
Discrete dislocation modeling in three-dimensional confined volumes journal July 2001
Dynamic dislocation effects in precipitation hardened materials journal November 1993
Fundamentals of engineering numerical analysis journal April 2002

Cited By (3)

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

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