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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

(p.145) 4 A Guide to 3D DD Simulations
Dislocations, Mesoscale Simulations and Plastic Flow

Ladislas Kubin

Oxford University Press

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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