Microstructural comparison of the kinematics of discrete and continuum dislocations models

Language
en
Document Type
Article
Issue Date
2022-02-07
First published
2015-10-05
Issue Year
2015
Authors
Sandfeld, Stefan
Po, Giacomo
Editor
Publisher
IOP Publishing
Abstract

Abstract The Continuum Dislocation Dynamics (CDD) theory and the Discrete Dislocation Dynamics (DDD) method are compared based on concise mathematical formulations of the coarse graining of discrete data. A numerical tool for converting from a discrete to a continuum representation of a given dislocation configuration is developed, which allows to directly compare both simulation approaches based on continuum quantities (e.g. scalar density, geometrically necessary densities, mean curvature). Investigating the evolution of selected dislocation configurations within analytically given velocity fields for both DDD and CDD reveals that CDD contains a surprising number of important microstructural details.

Journal Title
Modelling and Simulation in Materials Science and Engineering
Volume
23
Issue
8
Citation
Modelling and Simulation in Materials Science and Engineering 23.8 (2015): 085003. <https://iopscience.iop.org/article/10.1088/0965-0393/23/8/085003>
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