Particle interspacing effects on the mechanical behavior of a Fe–TiB2 metal matrix composite using FFT-based mesoscopic field dislocation mechanics

Genee, Julien; Berbenni, Stephane; Gey, Natalie; Lebensohn, Ricardo A.; Bonnet, Frederic

doi:10.1186/s40323-020-0141-z

Title: Particle interspacing effects on the mechanical behavior of a Fe–TiB₂ metal matrix composite using FFT-based mesoscopic field dislocation mechanics

Abstract

This paper presents an application to metal matrix composites (MMCs) of an enhanced elasto-viscoplastic Fast Fourier Transform (EVP-FFT) formulation coupled with a phenomenological continuum Mesoscale Field Dislocation Mechanics (MFDM) theory. Contrary to conventional crystal plasticity, which only accounts for plastic flow and hardening induced by statistically stored dislocations (SSDs), MFDM-EVP-FFT also describes the evolution of polarized geometrically necessary dislocation (GND) density and its effect on both plastic flow and hardening. Numerical results for a Fe–TiB₂ MMC made of a ferrite matrix (α-Fe) and elastic ceramic particles (TiB₂) are presented. Full-field simulations are performed using synthetic periodic unit cells representative of the MMC, with single-crystalline and polycrystalline matrix, for different particle interspacing distances. A strong dependence of the predicted equivalent stress, cumulated plastic strain and GND density fields with particle interspacing distance is observed, in contrast with conventional crystal plasticity. Correlations between these mechanical fields and microstructural features, and their influence on local and global mechanical behavior are examined for the different MMC microstructures.

Authors:

Genee, Julien ^[1]; Berbenni, Stephane ^[1]; Gey, Natalie ^[1];

^[2]; Bonnet, Frederic ^[3]

Univ. of Lorraine (France)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
ArcelorMittal Research, Maizieres-les-Metz (France)

Publication Date:: Wed Feb 19 00:00:00 EST 2020

Research Org.:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE Laboratory Directed Research and Development (LDRD) Program

OSTI Identifier:: 1739937

Report Number(s):: LA-UR-19-31404
Journal ID: ISSN 2213-7467

Grant/Contract Number:: 89233218CNA000001

Resource Type:: Accepted Manuscript

Journal Name:: Advanced Modeling and Simulation in Engineering Sciences

Additional Journal Information:: Journal Volume: 7; Journal Issue: 1; Journal ID: ISSN 2213-7467

Publisher:: Springer

Country of Publication:: United States

Language:: English

Subject:: 42 ENGINEERING; crystal plasticity; continuum dislocation mechanics; size effects; FFT; metal matrix composite; geometrically necessary dislocations

Citation Formats


                    Genee, Julien, Berbenni, Stephane, Gey, Natalie, Lebensohn, Ricardo A., and Bonnet, Frederic. Particle interspacing effects on the mechanical behavior of a Fe–TiB2 metal matrix composite using FFT-based mesoscopic field dislocation mechanics.  United States: N. p., 2020. 
Web.  doi:10.1186/s40323-020-0141-z.

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                    Genee, Julien, Berbenni, Stephane, Gey, Natalie, Lebensohn, Ricardo A., & Bonnet, Frederic. Particle interspacing effects on the mechanical behavior of a Fe–TiB2 metal matrix composite using FFT-based mesoscopic field dislocation mechanics.  United States.  https://doi.org/10.1186/s40323-020-0141-z

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                    Genee, Julien, Berbenni, Stephane, Gey, Natalie, Lebensohn, Ricardo A., and Bonnet, Frederic. Wed .  
"Particle interspacing effects on the mechanical behavior of a Fe–TiB2 metal matrix composite using FFT-based mesoscopic field dislocation mechanics".  United States.  https://doi.org/10.1186/s40323-020-0141-z.  https://www.osti.gov/servlets/purl/1739937.

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@article{osti_1739937,

  title        = {Particle interspacing effects on the mechanical behavior of a Fe–TiB2 metal matrix composite using FFT-based mesoscopic field dislocation mechanics},

  author       = {Genee, Julien and Berbenni, Stephane and Gey, Natalie and Lebensohn, Ricardo A. and Bonnet, Frederic},

  abstractNote = {This paper presents an application to metal matrix composites (MMCs) of an enhanced elasto-viscoplastic Fast Fourier Transform (EVP-FFT) formulation coupled with a phenomenological continuum Mesoscale Field Dislocation Mechanics (MFDM) theory. Contrary to conventional crystal plasticity, which only accounts for plastic flow and hardening induced by statistically stored dislocations (SSDs), MFDM-EVP-FFT also describes the evolution of polarized geometrically necessary dislocation (GND) density and its effect on both plastic flow and hardening. Numerical results for a Fe–TiB2 MMC made of a ferrite matrix (α-Fe) and elastic ceramic particles (TiB2) are presented. Full-field simulations are performed using synthetic periodic unit cells representative of the MMC, with single-crystalline and polycrystalline matrix, for different particle interspacing distances. A strong dependence of the predicted equivalent stress, cumulated plastic strain and GND density fields with particle interspacing distance is observed, in contrast with conventional crystal plasticity. Correlations between these mechanical fields and microstructural features, and their influence on local and global mechanical behavior are examined for the different MMC microstructures.},

  doi          = {10.1186/s40323-020-0141-z},

  journal      = {Advanced Modeling and Simulation in Engineering Sciences},

  number       = 1,

  volume       = 7,

  place        = {United States},

  year         = {Wed Feb 19 00:00:00 EST 2020},

  month        = {Wed Feb 19 00:00:00 EST 2020}

}

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Abstract

Citation Formats

Continuous distribution of moving dislocations journal, May 1963

Continuous distribution of moving dislocations journal, May 1963

A model of crystal plasticity based on the theory of continuously distributed dislocations journal, April 2001

A FFT-based numerical implementation of mesoscale field dislocation mechanics: Application to two-phase laminates journal, February 2020

Interfaces and defects in a successfully hot-rolled steel-based composite Fe–TiB 2 journal, October 2015

Interfaces and defects in a successfully hot-rolled steel-based composite Fe–TiB 2 journal, October 2015

A Gradient-Dependent Flow Theory of Plasticity: Application to Metal and Soil Instabilities journal, November 1989

A fast numerical scheme for computing the response of composites using grid refinement journal, April 1999

Stress estimates for particle damage in Fe-TiB 2 metal matrix composites from experimental data and simulation journal, July 2017

Modeling and estimation of deformation behavior of particle-reinforced metal–matrix composite journal, November 2000

Effects of Size on the Dynamics of Dislocations in Ice Single Crystals journal, October 2007

A Gradient-Dependent Flow Theory of Plasticity: Application to Metal and Soil Instabilities journal, November 1989

Plastic flow in a composite: a comparison of nonlocal continuum and discrete dislocation predictions journal, February 2001

Strain gradients and continuum modeling of size effect in metal matrix composites journal, March 1997

Stress estimates for particle damage in Fe-TiB 2 metal matrix composites from experimental data and simulation journal, July 2017

Numerical implementation of static Field Dislocation Mechanics theory for periodic media journal, March 2014

A numerical spectral approach for solving elasto-static field dislocation and g-disclination mechanics journal, November 2014

Particle reinforced aluminium and magnesium matrix composites journal, January 1994

Assessing the reliability of fast Fourier transform-based crystal plasticity simulations of a polycrystalline material near a crack tip journal, February 2020

Finite element implementation and numerical issues of strain gradient plasticity with application to metal matrix composites journal, November 2009

A numerical method for computing the overall response of nonlinear composites with complex microstructure journal, April 1998

Constitutive analysis of finite deformation field dislocation mechanics journal, February 2004

Slip planes in bcc transition metals journal, June 2013

Fourier-based schemes for computing the mechanical response of composites with accurate local fields journal, March 2015

Strain gradient plasticity: Theory and experiment journal, February 1994

A numerical spectral approach to solve the dislocation density transport equation journal, August 2015

Grain-size effect in viscoplastic polycrystals at moderate strains journal, October 2000

Size effects and idealized dislocation microstructure at small scales: Predictions of a Phenomenological model of Mesoscopic Field Dislocation Mechanics: Part II journal, August 2006

Plastic deformation of multicrystalline thin films: Grain size distribution vs. grain orientation journal, February 2012

An elasto-viscoplastic formulation based on fast Fourier transforms for the prediction of micromechanical fields in polycrystalline materials journal, May 2012

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

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

The physics of plastic deformation journal, January 1987

Size effects and idealized dislocation microstructure at small scales: Predictions of a Phenomenological model of Mesoscopic Field Dislocation Mechanics: Part I journal, August 2006

A reformulation of strain gradient plasticity journal, October 2001

Some geometrical relations in dislocated crystals journal, March 1953

Microstructural evolution of iron based metal–matrix composites submitted to simple shear journal, October 2014

Anisotropic elastic constants and thermal expansivities in monocrystal CrB2, TiB2, and ZrB2 journal, January 2010

Comparison of discrete dislocation and continuum plasticity predictions for a composite material journal, August 1997

The influence of particle size and particle fracture on the elastic/plastic deformation of metal matrix composites journal, September 1996

Driving forces and boundary conditions in continuum dislocation mechanics journal, June 2003

On the Microstructural Origin of Certain Inelastic Models journal, October 1984

Lattice incompatibility and a gradient theory of crystal plasticity journal, August 2000

Continuity constraints at interfaces and their consequences on the work hardening of metal–matrix composites journal, October 2011

A computational scheme for linear and non‐linear composites with arbitrary phase contrast journal, September 2001

Field Dislocation Mechanics for heterogeneous elastic materials: A numerical spectral approach journal, March 2017

Field Dislocation Mechanics for heterogeneous elastic materials: A numerical spectral approach journal, March 2017

On the Microstructural Origin of Certain Inelastic Models journal, October 1984

Multi-scale modeling of the mechanical behavior of polycrystalline ice under transient creep journal, January 2012

The physics of plastic deformation journal, January 1987

A fast Fourier transform-based mesoscale field dislocation mechanics study of grain size effects and reversible plasticity in polycrystals journal, February 2020

A phenomenological theory for strain gradient effects in plasticity journal, December 1993

Directionality of yield point in strain-aged steels: The role of polar dislocations journal, August 2008

Deformation Behavior and Damage Evaluation in a New Titanium Diboride (TiB2) Steel-Based Composite journal, April 2012

Particle-induced damage in Fe–TiB2 high stiffness metal matrix composite steels journal, December 2018

The deformation of plastically non-homogeneous materials journal, February 1970

The Deformation and Ageing of Mild Steel: III Discussion of Results journal, September 1951

Finite element approximation of field dislocation mechanics journal, January 2005

Gradient crystal plasticity including dislocation-based work-hardening and dislocation transport journal, June 2015

Directionality of yield point in strain-aged steels: The role of polar dislocations journal, August 2008

N-site modeling of a 3D viscoplastic polycrystal using Fast Fourier Transform journal, August 2001

A numerical spectral approach for solving elasto-static field dislocation and g-disclination mechanics journal, November 2014

Kinetics of flow and strain-hardening journal, November 1981

Mechanical response of multicrystalline thin films in mesoscale field dislocation mechanics journal, November 2011

Predictionoftheoverallbehaviorofa3DmicrostructureofausteniticsteelbyusingFFTnumericalscheme journal, January 2011

A numerical spectral approach to solve the dislocation density transport equation journal, August 2015

Multi-scale modeling of the mechanical behavior of polycrystalline ice under transient creep journal, January 2012

Modeling dislocation sources and size effects at initial yield in continuum plasticity journal, January 2009

Phenomenological mesoscopic field dislocation mechanics, lower-order gradient plasticity, and transport of mean excess dislocation density journal, December 2006

Mechanism-based strain gradient plasticity? I. Theory journal, April 1999

Title: Particle interspacing effects on the mechanical behavior of a Fe–TiB₂ metal matrix composite using FFT-based mesoscopic field dislocation mechanics

Continuous distribution of moving dislocations
journal, May 1963

Continuous distribution of moving dislocations
journal, May 1963

A model of crystal plasticity based on the theory of continuously distributed dislocations
journal, April 2001

A FFT-based numerical implementation of mesoscale field dislocation mechanics: Application to two-phase laminates
journal, February 2020

Interfaces and defects in a successfully hot-rolled steel-based composite Fe–TiB 2
journal, October 2015

Interfaces and defects in a successfully hot-rolled steel-based composite Fe–TiB 2
journal, October 2015

A Gradient-Dependent Flow Theory of Plasticity: Application to Metal and Soil Instabilities
journal, November 1989

A fast numerical scheme for computing the response of composites using grid refinement
journal, April 1999

Stress estimates for particle damage in Fe-TiB 2 metal matrix composites from experimental data and simulation
journal, July 2017

Modeling and estimation of deformation behavior of particle-reinforced metal–matrix composite
journal, November 2000

Effects of Size on the Dynamics of Dislocations in Ice Single Crystals
journal, October 2007

A Gradient-Dependent Flow Theory of Plasticity: Application to Metal and Soil Instabilities
journal, November 1989

Plastic flow in a composite: a comparison of nonlocal continuum and discrete dislocation predictions
journal, February 2001

Strain gradients and continuum modeling of size effect in metal matrix composites
journal, March 1997

Stress estimates for particle damage in Fe-TiB 2 metal matrix composites from experimental data and simulation
journal, July 2017

Numerical implementation of static Field Dislocation Mechanics theory for periodic media
journal, March 2014

A numerical spectral approach for solving elasto-static field dislocation and g-disclination mechanics
journal, November 2014

Particle reinforced aluminium and magnesium matrix composites
journal, January 1994

Assessing the reliability of fast Fourier transform-based crystal plasticity simulations of a polycrystalline material near a crack tip
journal, February 2020

Finite element implementation and numerical issues of strain gradient plasticity with application to metal matrix composites
journal, November 2009

A numerical method for computing the overall response of nonlinear composites with complex microstructure
journal, April 1998

Constitutive analysis of finite deformation field dislocation mechanics
journal, February 2004

Slip planes in bcc transition metals
journal, June 2013

Fourier-based schemes for computing the mechanical response of composites with accurate local fields
journal, March 2015

Strain gradient plasticity: Theory and experiment
journal, February 1994

A numerical spectral approach to solve the dislocation density transport equation
journal, August 2015

Grain-size effect in viscoplastic polycrystals at moderate strains
journal, October 2000

Size effects and idealized dislocation microstructure at small scales: Predictions of a Phenomenological model of Mesoscopic Field Dislocation Mechanics: Part II
journal, August 2006

Plastic deformation of multicrystalline thin films: Grain size distribution vs. grain orientation
journal, February 2012

An elasto-viscoplastic formulation based on fast Fourier transforms for the prediction of micromechanical fields in polycrystalline materials
journal, May 2012

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

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

The physics of plastic deformation
journal, January 1987

Size effects and idealized dislocation microstructure at small scales: Predictions of a Phenomenological model of Mesoscopic Field Dislocation Mechanics: Part I
journal, August 2006

A reformulation of strain gradient plasticity
journal, October 2001

Some geometrical relations in dislocated crystals
journal, March 1953

Microstructural evolution of iron based metal–matrix composites submitted to simple shear
journal, October 2014

Anisotropic elastic constants and thermal expansivities in monocrystal CrB2, TiB2, and ZrB2
journal, January 2010

Comparison of discrete dislocation and continuum plasticity predictions for a composite material
journal, August 1997

The influence of particle size and particle fracture on the elastic/plastic deformation of metal matrix composites
journal, September 1996

Driving forces and boundary conditions in continuum dislocation mechanics
journal, June 2003

On the Microstructural Origin of Certain Inelastic Models
journal, October 1984

Lattice incompatibility and a gradient theory of crystal plasticity
journal, August 2000

Continuity constraints at interfaces and their consequences on the work hardening of metal–matrix composites
journal, October 2011

A computational scheme for linear and non‐linear composites with arbitrary phase contrast
journal, September 2001

Field Dislocation Mechanics for heterogeneous elastic materials: A numerical spectral approach
journal, March 2017

Field Dislocation Mechanics for heterogeneous elastic materials: A numerical spectral approach
journal, March 2017

On the Microstructural Origin of Certain Inelastic Models
journal, October 1984

Multi-scale modeling of the mechanical behavior of polycrystalline ice under transient creep
journal, January 2012

The physics of plastic deformation
journal, January 1987

A fast Fourier transform-based mesoscale field dislocation mechanics study of grain size effects and reversible plasticity in polycrystals
journal, February 2020

A phenomenological theory for strain gradient effects in plasticity
journal, December 1993

Directionality of yield point in strain-aged steels: The role of polar dislocations
journal, August 2008

Deformation Behavior and Damage Evaluation in a New Titanium Diboride (TiB2) Steel-Based Composite
journal, April 2012

Particle-induced damage in Fe–TiB2 high stiffness metal matrix composite steels
journal, December 2018

The deformation of plastically non-homogeneous materials
journal, February 1970

The Deformation and Ageing of Mild Steel: III Discussion of Results
journal, September 1951

Finite element approximation of field dislocation mechanics
journal, January 2005

Gradient crystal plasticity including dislocation-based work-hardening and dislocation transport
journal, June 2015

Directionality of yield point in strain-aged steels: The role of polar dislocations
journal, August 2008

N-site modeling of a 3D viscoplastic polycrystal using Fast Fourier Transform
journal, August 2001

A numerical spectral approach for solving elasto-static field dislocation and g-disclination mechanics
journal, November 2014

Kinetics of flow and strain-hardening
journal, November 1981

Mechanical response of multicrystalline thin films in mesoscale field dislocation mechanics
journal, November 2011

Predictionoftheoverallbehaviorofa3DmicrostructureofausteniticsteelbyusingFFTnumericalscheme
journal, January 2011

A numerical spectral approach to solve the dislocation density transport equation
journal, August 2015

Multi-scale modeling of the mechanical behavior of polycrystalline ice under transient creep
journal, January 2012

Modeling dislocation sources and size effects at initial yield in continuum plasticity
journal, January 2009

Phenomenological mesoscopic field dislocation mechanics, lower-order gradient plasticity, and transport of mean excess dislocation density
journal, December 2006

Mechanism-based strain gradient plasticity? I. Theory
journal, April 1999