Mechanism-based strain gradient crystal plasticity - I. Theory

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

doi:10.1016/j.jmps.2004.08.008

Mechanism-based strain gradient crystal plasticity - I. Theory

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

^*Corresponding author for this work

Civil and Environmental Engineering

Research output: Contribution to journal › Article › peer-review

238 Scopus citations

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 language	English (US)
Pages (from-to)	1188-1203
Number of pages	16
Journal	Journal of the Mechanics and Physics of Solids
Volume	53
Issue number	5
DOIs	https://doi.org/10.1016/j.jmps.2004.08.008
State	Published - May 2005

Funding

The authors gratefully acknowledge support through NSF-NIRT project `Mechanism Based Modeling and Simulation in Nanomechanics' (grant no. CMS-0103257) under the direction of Dr. Ken Chong. Helpful discussions with Alexander Hartmaier of Stuttgart are gratefully acknowledged.

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

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10.1016/j.jmps.2004.08.008

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title = "Mechanism-based strain gradient crystal plasticity - I. Theory",

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.",

keywords = "A. Dislocations, B. Constitutive behavior, Elastic-plastic material, Principles, Strain gradient plasticity, Strengthening mechanisms",

author = "Han, {Chung Souk} and Huajian Gao and Yonggang Huang and Nix, {William D.}",

note = "Funding Information: The authors gratefully acknowledge support through NSF-NIRT project `Mechanism Based Modeling and Simulation in Nanomechanics' (grant no. CMS-0103257) under the direction of Dr. Ken Chong. Helpful discussions with Alexander Hartmaier of Stuttgart are gratefully acknowledged. Copyright: Copyright 2008 Elsevier B.V., All rights reserved.",

year = "2005",

month = may,

doi = "10.1016/j.jmps.2004.08.008",

language = "English (US)",

volume = "53",

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AU - Han, Chung Souk

AU - Gao, Huajian

AU - Huang, Yonggang

AU - Nix, William D.

N1 - Funding Information: The authors gratefully acknowledge support through NSF-NIRT project `Mechanism Based Modeling and Simulation in Nanomechanics' (grant no. CMS-0103257) under the direction of Dr. Ken Chong. Helpful discussions with Alexander Hartmaier of Stuttgart are gratefully acknowledged. Copyright: Copyright 2008 Elsevier B.V., All rights reserved.

PY - 2005/5

Y1 - 2005/5

N2 - 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.

AB - 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.

KW - A. Dislocations

KW - B. Constitutive behavior

KW - Elastic-plastic material

KW - Principles

KW - Strain gradient plasticity

KW - Strengthening mechanisms

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Mechanism-based strain gradient crystal plasticity - I. Theory

Abstract

Funding

Keywords

ASJC Scopus subject areas

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