Mechanism-based strain gradient crystal plasticity

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

*Corresponding author for this work

Research output: Contribution to journalConference article

Abstract

To model size dependent plastic deformation at micron and submicron length scales the theory of mechanism-based strain gradient plasticity (MSG) was developed. The MSG approach incorporates the concept of geometrically necessary dislocations into continuum plastic constitutive laws via Taylor hardening relation. This concept is extended here to develop a mechanism-based strain gradient theory for crystal plasticity (MSG-CP) based on the notions of dislocation density tensor and resolved density force corresponding to the Peach-Koehler force in dislocation theory. An effective density of geometrically necessary dislocations is defined on the basis of resolved density force for specific slip systems and is incorporated into the plastic constitutive laws via Taylor relation.

Original languageEnglish (US)
Article numberP6.1
Pages (from-to)301-306
Number of pages6
JournalMaterials Research Society Symposium Proceedings
Volume821
StatePublished - Dec 1 2004
EventNanoscale Materials and Modeling - Relations Among Processing, Microstructure and Mechanical Properties - San Francisco, CA, United States
Duration: Apr 13 2004Apr 16 2004

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

ASJC Scopus subject areas

  • Materials Science(all)
  • 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. In: Materials Research Society Symposium Proceedings. 2004 ; Vol. 821. pp. 301-306.
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Mechanism-based strain gradient crystal plasticity. / Han, Chung Souk; Gao, Huajian; Huang, Yonggang; Nix, William D.

In: Materials Research Society Symposium Proceedings, Vol. 821, P6.1, 01.12.2004, p. 301-306.

Research output: Contribution to journalConference article

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AU - Nix, William D.

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AB - To model size dependent plastic deformation at micron and submicron length scales the theory of mechanism-based strain gradient plasticity (MSG) was developed. The MSG approach incorporates the concept of geometrically necessary dislocations into continuum plastic constitutive laws via Taylor hardening relation. This concept is extended here to develop a mechanism-based strain gradient theory for crystal plasticity (MSG-CP) based on the notions of dislocation density tensor and resolved density force corresponding to the Peach-Koehler force in dislocation theory. An effective density of geometrically necessary dislocations is defined on the basis of resolved density force for specific slip systems and is incorporated into the plastic constitutive laws via Taylor relation.

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