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Hall-Petch Law Revisited in Terms of Collective Dislocation Dynamics

Journal Article · · Physical Review Letters
; ;  [1]
  1. Laboratoire de Glaciologie et de Geophysique de l'Environnement, Universite Joseph Fourier/CNRS, BP96 - 38402 Saint Martin d'Heres (France)

The Hall-Petch (HP) law, that accounts for the effect of grain size on the plastic yield stress of polycrystals, is revisited in terms of the collective motion of interacting dislocations. Sudden relaxation of incompatibility stresses in a grain triggers aftershocks in the neighboring ones. The HP law results from a scaling argument based on the conservation of the elastic energy during such transfers. The Hall-Petch law breakdown for nanometric sized grains is shown to stem from the loss of such a collective behavior as grains start deforming by successive motion of individual dislocations.

OSTI ID:
20860700
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 7 Vol. 97; ISSN 0031-9007; ISSN PRLTAO
Country of Publication:
United States
Language:
English

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