Dislocation density-based plasticity model from massive discrete dislocation dynamics database

Akhondzadeh, Sh; Sills, Ryan B.; Bertin, Nicolas; Cai, Wei

doi:10.1016/j.jmps.2020.104152

Title: Dislocation density-based plasticity model from massive discrete dislocation dynamics database

Abstract

In this work, we present a dislocation density-based strain hardening model for single crystal copper through a systematic coarse-graining analysis of more than 200 discrete dislocation dynamics (DDD) simulations of plastic deformation under uniaxial tension. The proposed constitutive model has two components: a generalized Taylor relation connecting resolved shear stresses to dislocation densities on individual slip systems, and a generalized Kocks-Mecking model for dislocation multiplication. The DDD data strongly suggests a logarithmic dependence of flow stress on the plastic shear strain rate on each slip system, and, equivalently, an exponential dependence of the plastic shear strain rate on the resolved shear stress. Hence the proposed generalized Taylor relation subsumes the Orowan relation for plastic flow. The DDD data also calls for a correction to the Kocks-Mecking model of dislocation multiplication to account for the increase of dislocation density on slip systems with negligible plastic shear strain rate. This is accomplished by allowing the multiplication rate on each slip system to include contributions from the plastic strain rates of the two coplanar slip systems. The resulting constitutive model successfully captures the strain hardening rate dependence on the loading orientation as predicted by the DDD simulations, which is also consistent with existingmore » experiments.« less

Authors:

Akhondzadeh, Sh ^[1]; Sills, Ryan B. ^[2]; Bertin, Nicolas ^[3]; Cai, Wei ^[1]

Stanford Univ., CA (United States)
Rutgers Univ., Piscataway, NJ (United States)
Stanford Univ., CA (United States); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Publication Date:: Sat Sep 19 00:00:00 EDT 2020

Research Org.:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division; National Science Foundation (NSF)

OSTI Identifier:: 1785910

Alternate Identifier(s):: OSTI ID: 1776116

Report Number(s):: LLNL-JRNL-809835
Journal ID: ISSN 0022-5096; 1015833

Grant/Contract Number:: AC52-07NA27344; SC0010412; ACI-1548562

Resource Type:: Accepted Manuscript

Journal Name:: Journal of the Mechanics and Physics of Solids

Additional Journal Information:: Journal Volume: 145; Journal ID: ISSN 0022-5096

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE; dislocation dynamics; crystal plasticity; strain hardening; flow rule; dislocation multiplication

Citation Formats


                    Akhondzadeh, Sh, Sills, Ryan B., Bertin, Nicolas, and Cai, Wei. Dislocation density-based plasticity model from massive discrete dislocation dynamics database.  United States: N. p., 2020. 
Web.  doi:10.1016/j.jmps.2020.104152.

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                    Akhondzadeh, Sh, Sills, Ryan B., Bertin, Nicolas, & Cai, Wei. Dislocation density-based plasticity model from massive discrete dislocation dynamics database.  United States.  https://doi.org/10.1016/j.jmps.2020.104152

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                    Akhondzadeh, Sh, Sills, Ryan B., Bertin, Nicolas, and Cai, Wei. Sat .  
"Dislocation density-based plasticity model from massive discrete dislocation dynamics database".  United States.  https://doi.org/10.1016/j.jmps.2020.104152.  https://www.osti.gov/servlets/purl/1785910.

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@article{osti_1785910,

  title        = {Dislocation density-based plasticity model from massive discrete dislocation dynamics database},

  author       = {Akhondzadeh, Sh and Sills, Ryan B. and Bertin, Nicolas and Cai, Wei},

  abstractNote = {In this work, we present a dislocation density-based strain hardening model for single crystal copper through a systematic coarse-graining analysis of more than 200 discrete dislocation dynamics (DDD) simulations of plastic deformation under uniaxial tension. The proposed constitutive model has two components: a generalized Taylor relation connecting resolved shear stresses to dislocation densities on individual slip systems, and a generalized Kocks-Mecking model for dislocation multiplication. The DDD data strongly suggests a logarithmic dependence of flow stress on the plastic shear strain rate on each slip system, and, equivalently, an exponential dependence of the plastic shear strain rate on the resolved shear stress. Hence the proposed generalized Taylor relation subsumes the Orowan relation for plastic flow. The DDD data also calls for a correction to the Kocks-Mecking model of dislocation multiplication to account for the increase of dislocation density on slip systems with negligible plastic shear strain rate. This is accomplished by allowing the multiplication rate on each slip system to include contributions from the plastic strain rates of the two coplanar slip systems. The resulting constitutive model successfully captures the strain hardening rate dependence on the loading orientation as predicted by the DDD simulations, which is also consistent with existing experiments.},

  doi          = {10.1016/j.jmps.2020.104152},

  journal      = {Journal of the Mechanics and Physics of Solids},

  number       = ,

  volume       = 145,

  place        = {United States},

  year         = {Sat Sep 19 00:00:00 EDT 2020},

  month        = {Sat Sep 19 00:00:00 EDT 2020}

}

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Modeling dislocation storage rates and mean free paths in face-centered cubic crystals
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Kubin, L.; Devincre, B.; Hoc, T.
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Dislocation multiplication mechanisms – Glissile junctions and their role on the plastic deformation at the microscale
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Stricker, Markus; Weygand, Daniel
Acta Materialia, Vol. 99
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Assessment of crystal plasticity finite element simulations of the hot deformation of metals from local strain and orientation measurements
journal, October 2015

Pinna, C.; Lan, Y.; Kiu, M. F.
International Journal of Plasticity, Vol. 73
DOI: 10.1016/j.ijplas.2015.05.015

On the flow stress of [100]- and [111]-oriented Cu-Mn single crystals: A transmission electron microscopy study
journal, June 1992

Neuhaus, R.; Schwink, Ch.
Philosophical Magazine A, Vol. 65, Issue 6
DOI: 10.1080/01418619208205617

Dislocation Mean Free Paths and Strain Hardening of Crystals
journal, June 2008

Devincre, B.; Hoc, T.; Kubin, L.
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Works referencing / citing this record:

Discrete Dislocation Dynamics for Crystal RVEs. Part 1: Periodic Loop Kinematics
text, January 2021

Pachaury, Yash; Po, Giacomo; El-Azab, Anter
arXiv
DOI: 10.48550/arxiv.2102.11173

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Title: Dislocation density-based plasticity model from massive discrete dislocation dynamics database

Abstract

Citation Formats

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Analysis of texture evolution in channel die compression—I. Effects of grain interaction journal, June 1991

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GPU-accelerated dislocation dynamics using subcycling time-integration journal, August 2019

A dislocation mechanics-based crystallographic model of a B2-type intermetallic alloy journal, January 1996

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Athermal mechanisms of size-dependent crystal flow gleaned from three-dimensional discrete dislocation simulations journal, August 2008

Dislocation multiplication by cross-slip and glissile reaction in a dislocation based continuum formulation of crystal plasticity journal, November 2019

Annihilation of dislocations during tensile and cyclic deformation and limits of dislocation densities journal, December 1979

A constitutive model for fcc single crystals based on dislocation densities and its application to uniaxial compression of aluminium single crystals journal, July 2004

Multislip tests on copper crystals: A junctions hardening effect journal, December 1982

Geometrically projected discrete dislocation dynamics journal, July 2018

Enabling strain hardening simulations with dislocation dynamics journal, July 2007

Physical analyses of crystal plasticity by DD simulations journal, March 2006

Motion of a Dislocation Acted on by a Viscous Drag through an Array of Discrete Obstacles journal, December 1971

A self-consistent anisotropic approach for the simulation of plastic deformation and texture development of polycrystals: Application to zirconium alloys journal, September 1993

A crystal plasticity model for slip in hexagonal close packed metals based on discrete dislocation simulations journal, April 2017

Crystal plasticity finite element simulations of pyramidal indentation in copper single crystals journal, January 2007

Material rate dependence and localized deformation in crystalline solids journal, December 1983

The formation of deformation bands in f.c.c. crystals journal, August 1986

Physics and phenomenology of strain hardening: the FCC case journal, January 2003

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A self consistent approach of the large deformation polycrystal viscoplasticity journal, December 1987

Modeling dislocation storage rates and mean free paths in face-centered cubic crystals journal, December 2008

Dislocation multiplication mechanisms – Glissile junctions and their role on the plastic deformation at the microscale journal, October 2015

Assessment of crystal plasticity finite element simulations of the hot deformation of metals from local strain and orientation measurements journal, October 2015

On the flow stress of [100]- and [111]-oriented Cu-Mn single crystals: A transmission electron microscopy study journal, June 1992

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Work Hardening of Copper Single Crystals with Multiple Glide Orientations
journal, January 1975

From Dislocation Junctions to Forest Hardening
journal, December 2002

Multiscale modeling of the plasticity in an aluminum single crystal
journal, August 2009

Stress dependence of cross slip energy barrier for face-centered cubic nickel
journal, January 2014

Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications
journal, February 2010

Sur le durcissement dû à la recombinaison des dislocations
journal, December 1960

Multiscale modeling of plasticity in a copper single crystal deformed at high strain rates
journal, January 2015

Effect of microstructure on strain localization in a 7050 aluminum alloy: Comparison of experiments and modeling for various textures
journal, April 2016

A self consistent approach of the large deformation polycrystal viscoplasticity
journal, December 1987

Dislocation multiplication mechanisms – Glissile junctions and their role on the plastic deformation at the microscale
journal, October 2015

Laws for Work-Hardening and Low-Temperature Creep
journal, January 1976

Assessment of crystal plasticity finite element simulations of the hot deformation of metals from local strain and orientation measurements
journal, October 2015

Analysis of texture evolution in channel die compression—I. Effects of grain interaction
journal, June 1991

On the flow stress of [100]- and [111]-oriented Cu-Mn single crystals: A transmission electron microscopy study
journal, June 1992

GPU-accelerated dislocation dynamics using subcycling time-integration
journal, August 2019

A dislocation mechanics-based crystallographic model of a B2-type intermetallic alloy
journal, January 1996

Kinetics of flow and strain-hardening
journal, November 1981

Modeling dislocation storage rates and mean free paths in face-centered cubic crystals
journal, December 2008

Athermal mechanisms of size-dependent crystal flow gleaned from three-dimensional discrete dislocation simulations
journal, August 2008

Dislocation multiplication by cross-slip and glissile reaction in a dislocation based continuum formulation of crystal plasticity
journal, November 2019

Annihilation of dislocations during tensile and cyclic deformation and limits of dislocation densities
journal, December 1979

A constitutive model for fcc single crystals based on dislocation densities and its application to uniaxial compression of aluminium single crystals
journal, July 2004

Multislip tests on copper crystals: A junctions hardening effect
journal, December 1982

Geometrically projected discrete dislocation dynamics
journal, July 2018

Enabling strain hardening simulations with dislocation dynamics
journal, July 2007

Physical analyses of crystal plasticity by DD simulations
journal, March 2006

Motion of a Dislocation Acted on by a Viscous Drag through an Array of Discrete Obstacles
journal, December 1971

A self-consistent anisotropic approach for the simulation of plastic deformation and texture development of polycrystals: Application to zirconium alloys
journal, September 1993

A crystal plasticity model for slip in hexagonal close packed metals based on discrete dislocation simulations
journal, April 2017

Crystal plasticity finite element simulations of pyramidal indentation in copper single crystals
journal, January 2007

Material rate dependence and localized deformation in crystalline solids
journal, December 1983

The formation of deformation bands in f.c.c. crystals
journal, August 1986

Physics and phenomenology of strain hardening: the FCC case
journal, January 2003

DAMASK – The Düsseldorf Advanced Material Simulation Kit for modeling multi-physics crystal plasticity, thermal, and damage phenomena from the single crystal up to the component scale
journal, February 2019

A self consistent approach of the large deformation polycrystal viscoplasticity
journal, December 1987

Modeling dislocation storage rates and mean free paths in face-centered cubic crystals
journal, December 2008

Dislocation multiplication mechanisms – Glissile junctions and their role on the plastic deformation at the microscale
journal, October 2015

Assessment of crystal plasticity finite element simulations of the hot deformation of metals from local strain and orientation measurements
journal, October 2015

On the flow stress of [100]- and [111]-oriented Cu-Mn single crystals: A transmission electron microscopy study
journal, June 1992

Dislocation Mean Free Paths and Strain Hardening of Crystals
journal, June 2008

Roadmap on multiscale materials modeling
journalarticle, January 2020

Metal hardening in atomistic detail
preprint, January 2019

DAMASK – The Düsseldorf Advanced Material Simulation Kit for modeling multi-physics crystal plasticity, thermal, and damage phenomena from the single crystal up to the component scale
text, January 2019

Discrete Dislocation Dynamics for Crystal RVEs. Part 1: Periodic Loop Kinematics
text, January 2021