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Dislocations, Mesoscale Simulations and Plastic Flow$
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Ladislas Kubin

Print publication date: 2013

Print ISBN-13: 9780198525011

Published to Oxford Scholarship Online: May 2013

DOI: 10.1093/acprof:oso/9780198525011.001.0001

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A Guide to 3D DD Simulations

A Guide to 3D DD Simulations

Chapter:
(p.145) 4 A Guide to 3D DD Simulations
Source:
Dislocations, Mesoscale Simulations and Plastic Flow
Author(s):

Ladislas Kubin

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198525011.003.0004

This chapter discusses how the critical problems faced by dislocation dynamics simulations are solved. Available references to the technical bases of current nodal and lattice-based simulation codes are presented in a specific section. Curved dislocation lines are most often discretized into a succession of connected straight segments. This simplification allows implementing in tractable form the elastic properties of dislocations. The main issues are the treatment of the self-stress and the optimization of accuracy and computing efficiency by parallelization or the fast-multipole method. Elastic properties are complemented by local rules that allow incorporating dislocation velocities, cross-slip and other mechanisms at the mesoscale. Periodic boundary conditions are used mainly for large-scale simulations of single crystals. Two types of boundary condition are also available for materials with finite sizes.

Keywords:   dislocation dynamics codes, nodal simulations, lattice-based simulations, optimization of simulations, implementation of self-stress, local rules, boundary conditions

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