Mechanism-based strain gradient crystal plasticity

Chung Souk Han; Huajian Gao; Yonggang Huang; William D. Nix

Mechanism-based strain gradient crystal plasticity

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

^*Corresponding author for this work

Civil and Environmental Engineering

Research output: Contribution to journal › Conference 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 language	English (US)
Article number	P6.1
Pages (from-to)	301-306
Number of pages	6
Journal	Materials Research Society Symposium Proceedings
Volume	821
State	Published - Dec 1 2004
Event	Nanoscale Materials and Modeling - Relations Among Processing, Microstructure and Mechanical Properties - San Francisco, CA, United States Duration: Apr 13 2004 → Apr 16 2004

ASJC Scopus subject areas

Materials Science(all)
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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Han, C. S., Gao, H., Huang, Y., & Nix, W. D. (2004). Mechanism-based strain gradient crystal plasticity. Materials Research Society Symposium Proceedings, 821, 301-306. [P6.1].

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T1 - Mechanism-based strain gradient crystal plasticity

AU - Han, Chung Souk

AU - Gao, Huajian

AU - Huang, Yonggang

AU - Nix, William D.

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Y1 - 2004/12/1

N2 - 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.

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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