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

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

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

Abstract

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
Pages7-15
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

Conference

Conference3rd International Conference on Heterogeneous Materials Mechanics, ICHMM 2011
CountryChina
CityShanghai
Period22/05/1126/05/11

Fingerprint

Plasticity
Plastic flow
Microstructure
Torsional stress
Physical properties
Wire
Thin films
Computer simulation

Keywords

  • Continuum theory
  • Dislocation
  • Plasticity
  • Simulation

ASJC Scopus subject areas

  • Mechanics of Materials

Cite this

Gumbsch, P., Sandfeld, S., Senger, J., Weygand, D., & Hochrainer, T. (2011). Continuum modeling of dislocation plasticity: Theory, numerical implementation and comparison to discrete dislocation simulations. In Conference Program for the 3rd International Conference on Heterogeneous Materials Mechanics, ICHMM 2011 (pp. 7-15)

Continuum modeling of dislocation plasticity : Theory, numerical implementation and comparison to discrete dislocation simulations. / Gumbsch, P.; Sandfeld, S.; Senger, J.; Weygand, D.; Hochrainer, T.

Conference Program for the 3rd International Conference on Heterogeneous Materials Mechanics, ICHMM 2011. 2011. p. 7-15.

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

Gumbsch, P, Sandfeld, S, Senger, J, Weygand, D & Hochrainer, T 2011, Continuum modeling of dislocation plasticity: Theory, numerical implementation and comparison to discrete dislocation simulations. in Conference Program for the 3rd International Conference on Heterogeneous Materials Mechanics, ICHMM 2011. pp. 7-15, 3rd International Conference on Heterogeneous Materials Mechanics, ICHMM 2011, Shanghai, China, 22/05/11.
Gumbsch P, Sandfeld S, Senger J, Weygand D, Hochrainer T. Continuum modeling of dislocation plasticity: Theory, numerical implementation and comparison to discrete dislocation simulations. In Conference Program for the 3rd International Conference on Heterogeneous Materials Mechanics, ICHMM 2011. 2011. p. 7-15
Gumbsch, P. ; Sandfeld, S. ; Senger, J. ; Weygand, D. ; Hochrainer, T. / Continuum modeling of dislocation plasticity : Theory, numerical implementation and comparison to discrete dislocation simulations. Conference Program for the 3rd International Conference on Heterogeneous Materials Mechanics, ICHMM 2011. 2011. pp. 7-15
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