Multiscale model of deformed polycrystals. Hall-Petch problem

V. E. Panin, D. D. Moiseenko, T. F. Elsukova

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

The paper puts forward a multiscale model of deformed polycrystals according to which the basis for self-consistent deformation of grains is rotational wave flows of planar structural transformations at their boundaries. Computer-aided engineering of grain boundaries reveals two types of rotational wave flows defined by the misorientation angle of adjacent grains. Grain boundary flows of the first type develop at low-angle boundaries and feature low curvature. These flows generate dislocations in the grain bulk and the Hall-Petch equation for them has the form σ=σ0+kd -1/2. Grain boundary flows of the second type develop at high-angle boundaries and feature high curvature. These flows generate curvature bands in near-boundary zones and inject them into the grain bulk, resulting in fragmentation of grains and breakdown of translation invariance. For such self-consistency of grains in a polycrystal, the Hall-Petch equation has the form σ=σ0+kd -1. Experimental data in support of the proposed multiscale model are presented.

Original languageEnglish
Pages (from-to)1-14
Number of pages14
JournalPhysical Mesomechanics
Volume17
Issue number1
DOIs
Publication statusPublished - 2004

Fingerprint

multiscale models
Polycrystals
polycrystals
Grain boundaries
grain boundaries
curvature
Computer aided engineering
computer aided design
Invariance
misalignment
invariance
fragmentation
breakdown

Keywords

  • engineering of grain boundaries
  • Hall-Petch equation
  • multiscale model
  • polycrystals

ASJC Scopus subject areas

  • Mechanics of Materials
  • Materials Science(all)
  • Condensed Matter Physics
  • Surfaces and Interfaces

Cite this

Multiscale model of deformed polycrystals. Hall-Petch problem. / Panin, V. E.; Moiseenko, D. D.; Elsukova, T. F.

In: Physical Mesomechanics, Vol. 17, No. 1, 2004, p. 1-14.

Research output: Contribution to journalArticle

Panin, V. E. ; Moiseenko, D. D. ; Elsukova, T. F. / Multiscale model of deformed polycrystals. Hall-Petch problem. In: Physical Mesomechanics. 2004 ; Vol. 17, No. 1. pp. 1-14.
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