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Continuum modeling of dislocation plasticity: Theory, numerical implementation, and validation by discrete dislocation simulations

: Sandfeld, S.; Hochrainer, T.; Zaiser, M.; Gumbsch, P.


Journal of Materials Research 26 (2011), Nr.5, S.623-632
ISSN: 0884-2914
ISSN: 2044-5326
Fraunhofer IWM ()

Miniaturization of components and devices calls for an increased effort on physically motivated continuum theories, which can predict size-dependent plasticity by accounting for length scales associated with the dislocation microstructure. An important recent development has been the formulation of a Continuum Dislocation Dynamics theory (CDD) that provides a kinematically consistent continuum description of the dynamics of curved dislocation systems [T. Hochrainer, et al., Philos. Mag. 87, 1261 (2007)]. In this work, we present a brief overview of dislocation-based continuum plasticity models. We illustrate the implementation of CDD by a numerical example, bending of a thin film, and compare with results obtained by three-dimensional discrete dislocation dynamics (DDD) simulation.