Continuum modeling of dislocation plasticity: Theory, numerical implementation and comparison to discrete dislocation simulations

P. Gumbsch*, S. Sandfeld, J. Senger, D. Weygand, T. Hochrainer

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference paperpeer-review


The development of advanced materials is driven by continuous progress in the synthesis and control of materials microstructure on sub-micrometer and nanometer scales. Confined to these length-scales, many materials show strikingly different physical properties from their bulk counterparts, like a strong increase in flow stress with decreasing size. This 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 (CDD) Theory which provides a kinematically consistent continuum description of the dynamics of curved dislocation systems [1]. Here we present a brief overview of the CDD method and illustrate the implementation of the CDD by numerical examples, the bending of a thin film, the torsion of a wire, and the plastic flow around an elastic inclusion. Results are compared to three-dimensional discrete dislocation dynamics simulations.

Original languageEnglish
Title of host publicationConference Program for the 3rd International Conference on Heterogeneous Materials Mechanics, ICHMM 2011
Number of pages9
Publication statusPublished - 2011
Externally publishedYes
Event3rd International Conference on Heterogeneous Materials Mechanics, ICHMM 2011 - Shanghai, China
Duration: 22 May 201126 May 2011


Conference3rd International Conference on Heterogeneous Materials Mechanics, ICHMM 2011


  • Continuum theory
  • Dislocation
  • Plasticity
  • Simulation

ASJC Scopus subject areas

  • Mechanics of Materials

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