Dislocation Mediated Continuum Plasticity: Case Studies on Modeling Scale Dependence, Scale-Invariance, and Directionality of Sharp Yield-Point

  • Claude Fressengeas
  • A. Acharya
  • A. J. Beaudoin


Plasticity of crystalline solids is a dynamic phenomenon resulting from the motion under stress of linear crystal defects known as dislocations. Such a statement is grounded on numerous convincing observations, and it is widely accepted by the scientific community. Nevertheless, the conventional plasticity theories use macroscopic variables whose definition does not involve the notion of dislocation. This paradoxical situation arises from the enormous range covered by the length scales involved in the description of plasticity, from materials science to engineering. Itmay have seemed impossible to account for the astounding complexity of the (microscopic) dynamics of dislocation ensembles at the (macroscopic) scale of the mechanical properties of materials. Justifications offered for such a simplification usually reside in perfect disorder assumptions. Namely, plastic strain is regarded as resulting from a large number of randomly distributed elementary dislocation glide events, showing no order whatsoever at intermediate length scales. Hence, deriving the mechanical properties from the interactions of dislocations with defects simply requires averaging on any space and time domain. The existence of grain boundaries in polycrystals is of course affecting this averaging procedure, but it does not change it fundamentally.


Screw Dislocation Dislocation Dynamic Dislocation Velocity Plastic Activity Internal Stress Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



AA gratefully acknowledges the support from the National Science Foundation through the CMU MRSEC, grant no. DMR-0520425, the LMA-CNRS, Marseille and the Dept. of Civil and Env. Engineering at CMU. AB received support under US Dept. of Energy grant DEFG03-02-NA00072 and the Center for Simulation of Advanced Rockets at the University of Illinois at Urbana-Champaign (UIUC), US DOE subcontract B341494. AB and CF benefited from exchanges under a joint agreement between Centre National de la Recherche Scientifique and UIUC. We thank Juliette Chevy for providing Figs.4, 8 and Russell J. McDonald for his help in carrying out the experiments in Fig.18.


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© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.LPMMUniversite Paul Verlaine-Metz/CNRS Ile du SaulcyMetz Cedex 01France

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