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

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Abstract

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.

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Acknowledgment

Financial support of the Deutsche Forschungsgemeinschaft DFG under contracts HO4227/1 and GU367/30 is gratefully acknowledged.

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Authors and Affiliations

  1. Karlsruher Institut für Technologie, IZBS—Institut für Zuverlässigkeit von Bauteilen und Systemen, 76131, Karlsruhe, Germany

    Stefan Sandfeld

  2. Department of Scientific Computing, Florida State University, Tallahassee, Florida, 32310, USA

    Thomas Hochrainer

  3. Center for Materials Science and Engineering, The University of Edinburgh, Edinburgh, EH93JL, UK

    Michael Zaiser

  4. Karlsruher Institut für Technologie, IZBS—Institut für Zuverlässigkeit von Bauteilen und Systemen, 76131, Karlsruhe, Germany

    Peter Gumbsch

  5. Fraunhofer IWM, 79108, Freiburg, Germany

    Peter Gumbsch

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  1. Stefan Sandfeld
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  4. Peter Gumbsch
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Correspondence to Stefan Sandfeld.

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Sandfeld, S., Hochrainer, T., Zaiser, M. et al. Continuum modeling of dislocation plasticity: Theory, numerical implementation, and validation by discrete dislocation simulations. Journal of Materials Research 26, 623–632 (2011). https://doi.org/10.1557/jmr.2010.92

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