Mechanism-based strain gradient crystal plasticity - I. Theory

Chung Souk Han*, Huajian Gao, Yonggang Huang, William D. Nix

*Corresponding author for this work

Research output: Contribution to journalArticle

121 Citations (Scopus)

Abstract

We have been developing the theory of mechanism-based strain gradient plasticity (MSG) to model size-dependent plastic deformation at micron and submicron length scales. The core idea has been to incorporate the concept of geometrically necessary dislocations into the continuum plastic constitutive laws via the Taylor hardening relation. Here we extend this effort to develop a mechanism-based strain gradient theory of crystal plasticity. In this theory, an effective density of geometrically necessary dislocations for a specific slip plane is introduced via a continuum analog of the Peach-Koehler force in dislocation theory and is incorporated into the plastic constitutive laws via the Taylor relation.

Original languageEnglish (US)
Pages (from-to)1188-1203
Number of pages16
JournalJournal of the Mechanics and Physics of Solids
Volume53
Issue number5
DOIs
StatePublished - May 1 2005

Fingerprint

plastic properties
Plasticity
Plastics
gradients
Crystals
plastics
continuums
crystals
Hardening
Plastic deformation
hardening
plastic deformation
slip
analogs

Keywords

  • A. Dislocations
  • B. Constitutive behavior
  • Elastic-plastic material
  • Principles
  • Strain gradient plasticity
  • Strengthening mechanisms

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Han, Chung Souk ; Gao, Huajian ; Huang, Yonggang ; Nix, William D. / Mechanism-based strain gradient crystal plasticity - I. Theory. In: Journal of the Mechanics and Physics of Solids. 2005 ; Vol. 53, No. 5. pp. 1188-1203.
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Mechanism-based strain gradient crystal plasticity - I. Theory. / Han, Chung Souk; Gao, Huajian; Huang, Yonggang; Nix, William D.

In: Journal of the Mechanics and Physics of Solids, Vol. 53, No. 5, 01.05.2005, p. 1188-1203.

Research output: Contribution to journalArticle

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