A dislocation-crystal plasticity simulation on large deformation considering geometrically necessary dislocation density and incompatibility (1st report, definitions of GN crystal defects and multiscale modeling)

Yoshiteru Aoyagi, Kazuyuki Shizawa

Research output: Contribution to journalArticle

3 Citations (Scopus)


Plastic deformation and work-hardening of a crystal are caused by dislocation motions and dislocation accumulations, respectively. Recently, studies of crystal plasticity with the dislocation information have actively been done by many researchers. In this paper, both densities of isolated dislocation and dislocation pair corresponding respectively to the conventional GN and SS dislocation densities are uniformly defined as geometrical quantities, i.e., GN dislocation density and GN incompatibility tensors by extending Kroner's dislocation density and incompatibility tensors so that they are suitable for a crystal plasticity framework. Furthermore, we newly introduce a term of dynamic recovery that occurs in stage III of work-hardening of a single crystal into the expression of dislocation density. A new model of dislocation-crystal plasticity coupling deformation field with dislocation field is developed by introducing these dislocation densities into a hardening modulus matrix of crystal plasticity through the Bailey-Hirsch relation.

Original languageEnglish
Pages (from-to)1009-1016
Number of pages8
JournalNihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
Issue number7
Publication statusPublished - 2006 Jul 1



  • Constitutive Equation
  • Crystal Plasticity
  • Dislocation
  • Dislocation Dipole
  • Geometrically Necessary Dislocation
  • Incompatibility
  • Large Deformation
  • Plasticity

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

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