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Mechanism-based strain gradient crystal plasticity

Published online by Cambridge University Press:  15 March 2011

Chung-Souk Han ,
Huajian Gao ,
Yonggang Huang  and
William D. Nix
Chung-Souk Han
Affiliation:
Max Planck Institute for Metals Research, Heisenbergstr. 3, D-70569 Stuttgart, Germany Dept. of Mater. Sci. and Engng., Stanford University, Stanford, CA 94305, USA
Huajian Gao
Affiliation:
Max Planck Institute for Metals Research, Heisenbergstr. 3, D-70569 Stuttgart, Germany
Yonggang Huang
Affiliation:
Dept. of Mech. and Indust. Engng., University of Illinois, Urbana, IL 61801, USA
William D. Nix
Affiliation:
Dept. of Mater. Sci. and Engng., Stanford University, Stanford, CA 94305, USA
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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.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 821: Symposium P – Nanoscale Materials & Modeling-Relations Among Processing, Microstructure and Mechanical Properties , 2004 , P6.1
Copyright
Copyright © Materials Research Society 2004

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