Crystal plasticity modeling of 3rd generation multi-phase AHSS with martensitic transformation

Park, Taejoon; Hector, Louis G.; Hu, Xiaohua; Abu-Farha, Fadi; Fellinger, Michael R.; Kim, Hyunki; Esmaeilpour, Rasoul; Pourboghrat, Farhang

doi:10.1016/j.ijplas.2019.03.010

Title: Crystal plasticity modeling of 3rd generation multi-phase AHSS with martensitic transformation

Abstract

Here, a systematic constitutive modeling and calibration methodology were developed based on rate-independent crystal plasticity to predict the quasi static macroscopic behavior of 3rd generation multiphase advanced high strength steels (3GAHSS) prepared with a quenching and partitioning (Q&P) process. In the constitutive law, martensitic phase transformation induced by the elastic-plastic deformation of the retained austenite is represented by considering the Bain strain, the lattice invariant shear deformation, and the orientation relationship between parent austenite and transformed martensite. The amount that each martensite variant evolves is obtained through an optimization scheme that constrains the plastic deformation of the retained austenite to have minimum-energy during phase transformation. In-situ high energy X-ray diffraction (HEXRD) tensile test data was utilized for the characterization and calibration of the material model. Dislocation density based hardening parameters were separately obtained for each phase by iteratively performing crystal plasticity finite element (CPFE) simulations until the simulated stress-strain curves matched the experimentally measured curves from in-situ HEXRD. The 3D representative volume element (RVE) for the 3GAHSS was generated by utilizing Dream.3D and the MTEX Matlab toolbox software. The distributions of grain size and crystal orientation were analyzed based on the measured EBSD data and accounted for in the generationmore »« less

Authors:

^[1]; Hector, Louis G. ^[2]; Hu, Xiaohua ^[3]; Abu-Farha, Fadi ^[4]; Fellinger, Michael R. ^[5]; Kim, Hyunki ^[1]; Esmaeilpour, Rasoul ^[1]; Pourboghrat, Farhang ^[1]

The Ohio State Univ., Columbus, OH (United States)
GM Global Research and Development, Warren, MI (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Clemson University-International Centre for Automotive Research (CU-ICAR), Greenville, SC (United States)
Univ. of Illinois, Urbana-Champaign, IL (United States)

Publication Date:: Mon Apr 01 00:00:00 EDT 2019

Research Org.:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Sponsoring Org.:: USDOE Office of Energy Efficiency and Renewable Energy (EERE)

OSTI Identifier:: 1542212

Grant/Contract Number:: AC05-00OR22725; EE000597

Resource Type:: Accepted Manuscript

Journal Name:: International Journal of Plasticity

Additional Journal Information:: Journal Volume: 120; Journal Issue: C; Journal ID: ISSN 0749-6419

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE; 3GAHSS; Martensitic phase transformation; Crystal plasticity; 3D RVE; In-situ HEXRD; Forming limit curves

Citation Formats


                    Park, Taejoon, Hector, Louis G., Hu, Xiaohua, Abu-Farha, Fadi, Fellinger, Michael R., Kim, Hyunki, Esmaeilpour, Rasoul, and Pourboghrat, Farhang. Crystal plasticity modeling of 3rd generation multi-phase AHSS with martensitic transformation.  United States: N. p., 2019. 
Web.  doi:10.1016/j.ijplas.2019.03.010.

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                    Park, Taejoon, Hector, Louis G., Hu, Xiaohua, Abu-Farha, Fadi, Fellinger, Michael R., Kim, Hyunki, Esmaeilpour, Rasoul, & Pourboghrat, Farhang. Crystal plasticity modeling of 3rd generation multi-phase AHSS with martensitic transformation.  United States.  https://doi.org/10.1016/j.ijplas.2019.03.010

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                    Park, Taejoon, Hector, Louis G., Hu, Xiaohua, Abu-Farha, Fadi, Fellinger, Michael R., Kim, Hyunki, Esmaeilpour, Rasoul, and Pourboghrat, Farhang. Mon .  
"Crystal plasticity modeling of 3rd generation multi-phase AHSS with martensitic transformation".  United States.  https://doi.org/10.1016/j.ijplas.2019.03.010.  https://www.osti.gov/servlets/purl/1542212.

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@article{osti_1542212,

  title        = {Crystal plasticity modeling of 3rd generation multi-phase AHSS with martensitic transformation},

  author       = {Park, Taejoon and Hector, Louis G. and Hu, Xiaohua and Abu-Farha, Fadi and Fellinger, Michael R. and Kim, Hyunki and Esmaeilpour, Rasoul and Pourboghrat, Farhang},

  abstractNote = {Here, a systematic constitutive modeling and calibration methodology were developed based on rate-independent crystal plasticity to predict the quasi static macroscopic behavior of 3rd generation multiphase advanced high strength steels (3GAHSS) prepared with a quenching and partitioning (Q&P) process. In the constitutive law, martensitic phase transformation induced by the elastic-plastic deformation of the retained austenite is represented by considering the Bain strain, the lattice invariant shear deformation, and the orientation relationship between parent austenite and transformed martensite. The amount that each martensite variant evolves is obtained through an optimization scheme that constrains the plastic deformation of the retained austenite to have minimum-energy during phase transformation. In-situ high energy X-ray diffraction (HEXRD) tensile test data was utilized for the characterization and calibration of the material model. Dislocation density based hardening parameters were separately obtained for each phase by iteratively performing crystal plasticity finite element (CPFE) simulations until the simulated stress-strain curves matched the experimentally measured curves from in-situ HEXRD. The 3D representative volume element (RVE) for the 3GAHSS was generated by utilizing Dream.3D and the MTEX Matlab toolbox software. The distributions of grain size and crystal orientation were analyzed based on the measured EBSD data and accounted for in the generation of the 3D RVE. For verification and validation of the constitutive model, crystal plasticity finite element simulations of a uniaxial tensile test were enacted using the developed material model and the generated 3D RVE. Additional hypothetical RVEs were also generated by manipulating phase volume fractions, phase transformation speed, and phase properties to determine if these virtual 3GAHSS steels have improved mechanical properties. Additionally, forming limit curves (FLC) for the multiphase 3GAHSS were predicted from the CPFE simulation results.},

  doi          = {10.1016/j.ijplas.2019.03.010},

  journal      = {International Journal of Plasticity},

  number       = C,

  volume       = 120,

  place        = {United States},

  year         = {Mon Apr 01 00:00:00 EDT 2019},

  month        = {Mon Apr 01 00:00:00 EDT 2019}

}

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Title: Crystal plasticity modeling of 3rd generation multi-phase AHSS with martensitic transformation

Abstract

Citation Formats

In Situ Local Measurement of Austenite Mechanical Stability and Transformation Behavior in Third-Generation Advanced High-Strength Steels journal, May 2018

Plastic anisotropy of electro-deposited pure α-iron with sharp crystallographic <111>// texture in normal direction: Analysis by an explicitly dislocation-based crystal plasticity model journal, January 2014

Modeling and simulation on ultrafine-graining based on multiscale crystal plasticity considering dislocation patterning journal, August 2013

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Overview no. 42 Texture development and strain hardening in rate dependent polycrystals journal, June 1985

Strain localization in ductile single crystals journal, October 1977

Texture Analysis with MTEX – Free and Open Source Software Toolbox journal, February 2010

Grain detection from 2d and 3d EBSD data—Specification of the MTEX algorithm journal, December 2011

Crystallographic texture, anisotropic yield surfaces and forming limits of sheet metals journal, July 1987

Plane stress yield function for aluminum alloy sheets—part 1: theory journal, September 2003

Effect of stress triaxiality and Lode angle on the kinetics of strain-induced austenite-to-martensite transformation journal, April 2011

A dislocation-based constitutive law for pure Zr including temperature effects journal, May 2008

An RVE procedure for micromechanical prediction of mechanical behavior of dual-phase steel journal, May 2017

Microstructure-based model for the static mechanical behaviour of multiphase steels journal, April 2006

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Transmission Electron Microscopy Analysis of Yielding in Ultrafine-Grained Medium Mn Transformation-Induced Plasticity Steel journal, February 2013

Effect of Carbon and Manganese on the Quenching and Partitioning Response of CMnSi Steels journal, January 2011

OpenMP and MPI implementations of an elasto-viscoplastic fast Fourier transform-based micromechanical solver for fast crystal plasticity modeling journal, December 2018

Ab initio calculations of the lattice parameter and elastic stiffness coefficients of bcc Fe with solutes journal, January 2017

Data files for ab initio calculations of the lattice parameter and elastic stiffness coefficients of bcc Fe with solutes journal, February 2017

Effect of solutes on the lattice parameters and elastic stiffness coefficients of body-centered tetragonal Fe journal, September 2018

Modeling of latent hardening produced by complex loading paths in FCC alloys journal, March 2013

Constitutive modelling and identification of parameters of the plastic strain-induced martensitic transformation in 316L stainless steel at cryogenic temperatures journal, July 2006

A crystal plasticity model incorporating the effects of precipitates in superalloys: Application to tensile, compressive, and cyclic deformation of Inconel 718 journal, December 2017

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DREAM.3D: A Digital Representation Environment for the Analysis of Microstructure in 3D journal, April 2014

Computationally efficient predictions of crystal plasticity based forming limit diagrams using a spectral database journal, April 2018

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

A constitutive model for the formation of martensite in austenitic steels under large strain plasticity journal, July 2007

Crystal-plasticity finite-element analysis of anisotropic deformation behavior in a commercially pure titanium Grade 1 sheet journal, April 2017

Crystal-plasticity finite-element analysis of inelastic behavior during unloading in a magnesium alloy sheet journal, July 2011

Multiscale modelling of the induced plastic anisotropy in bcc metals journal, August 2011

A variational approach to the theory of the elastic behaviour of multiphase materials journal, March 1963

On discontinuous plastic states, with special reference to localized necking in thin sheets journal, October 1952

Generalized constitutive relations for incremental deformation of metal crystals by multislip journal, March 1966

Constitutive analysis of elastic-plastic crystals at arbitrary strain journal, December 1972

Determining Individual Phase Flow Properties in a Quench and Partitioning Steel with In Situ High-Energy X-Ray Diffraction and Multiphase Elasto-Plastic Self-Consistent Method journal, February 2016

Individual phase constitutive properties of a TRIP-assisted QP980 steel from a combined synchrotron X-ray diffraction and crystal plasticity approach journal, June 2017

Elastic-Plastic Behaviour of Polycrystalline Metals and Composites journal, October 1970

Investigation on deformation mode dependence of strain-induced martensitic transformation in trip steels and modelling of transformation kinetics journal, February 1998

A deformation mechanism based crystal plasticity model of ultrafine-grained/nanocrystalline FCC polycrystals journal, November 2016

Experiment and modeling to investigate the effect of stress state, strain and temperature on martensitic phase transformation in TRIP-assisted steel journal, September 2015

Crystal plasticity finite element analysis of ferritic stainless steel for sheet formability prediction journal, June 2017

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

Thermodynamic theory of dislocation-mediated plasticity journal, June 2010

Thermodynamic dislocation theory: Size effect in torsion journal, April 2019

Crystal plasticity finite element modeling of mechanically induced martensitic transformation (MIMT) in metastable austenite journal, May 2010

A dislocation density-based single crystal constitutive equation journal, July 2010

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Grain-scale experimental validation of crystal plasticity finite element simulations of tantalum oligocrystals journal, September 2014

A multi-scale model of dislocation plasticity in α-Fe: Incorporating temperature, strain rate and non-Schmid effects journal, October 2015

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The crystallography of martensite transformations II journal, January 1954

A hierarchical model for rate-dependent polycrystals journal, May 2009

Limit strains in the processes of stretch-forming sheet metal journal, September 1967

On modeling the development of crystallographic texture in bulk forming processes journal, January 1989

Kinetics of strain-induced martensitic nucleation journal, April 1975

Hexahedral Mesh Generation for Computational Materials Modeling journal, January 2017

Non-associated flow rule with symmetric stiffness modulus for isotropic-kinematic hardening and its application for earing in circular cup drawing journal, December 2012

On Estimation of a Probability Density Function and Mode journal, September 1962

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

Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity journal, November 1971

DAMASK: the Düsseldorf Advanced MAterial Simulation Kit for studying crystal plasticity using an FE based or a spectral numerical solver journal, January 2012

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Prediction of martensitic transformation and deformation behavior in the TRIP steel sheet forming journal, October 2008

Carbon partitioning into austenite after martensite transformation journal, May 2003

Elastic constants of binary iron-base alloys journal, August 1972

A multiscale approach to modeling formability of dual-phase steels journal, January 2016

Micromechanics of plastic deformation and phase transformation in a three-phase TRIP-assisted advanced high strength steel: Experiments and modeling journal, May 2015

A general forming limit criterion for sheet metal forming journal, January 2000

Review of theoretical models of the strain-based FLD and their relevance to the stress-based FLD journal, August 2004

A constitutive model for transformation plasticity accompanying strain-induced martensitic transformations in metastable austenitic steels journal, July 1992

A multiscale thermomechanical model for cubic to tetragonal martensitic phase transformations journal, July 2006

In Situ Local Measurement of Austenite Mechanical Stability and Transformation Behavior in Third-Generation Advanced High-Strength Steels
journal, May 2018

Plastic anisotropy of electro-deposited pure α-iron with sharp crystallographic <111>// texture in normal direction: Analysis by an explicitly dislocation-based crystal plasticity model
journal, January 2014

Modeling and simulation on ultrafine-graining based on multiscale crystal plasticity considering dislocation patterning
journal, August 2013

Crystal plasticity modeling and simulation considering the behavior of the dislocation source of ultrafine-grained metal
journal, April 2014

A dislocation density based crystal plasticity finite element model: Application to a two-phase polycrystalline HCP/BCC composites
journal, May 2014

Strain rate and temperature sensitive multi-level crystal plasticity model for large plastic deformation behavior: Application to AZ31 magnesium alloy
journal, August 2016

Overview no. 42 Texture development and strain hardening in rate dependent polycrystals
journal, June 1985

Strain localization in ductile single crystals
journal, October 1977

Texture Analysis with MTEX – Free and Open Source Software Toolbox
journal, February 2010

Grain detection from 2d and 3d EBSD data—Specification of the MTEX algorithm
journal, December 2011

Crystallographic texture, anisotropic yield surfaces and forming limits of sheet metals
journal, July 1987

Plane stress yield function for aluminum alloy sheets—part 1: theory
journal, September 2003

Effect of stress triaxiality and Lode angle on the kinetics of strain-induced austenite-to-martensite transformation
journal, April 2011

A dislocation-based constitutive law for pure Zr including temperature effects
journal, May 2008

An RVE procedure for micromechanical prediction of mechanical behavior of dual-phase steel
journal, May 2017

Microstructure-based model for the static mechanical behaviour of multiphase steels
journal, April 2006

Predicting elastic anisotropy of dual-phase steels based on crystal mechanics and microstructure
journal, February 2019

Transmission Electron Microscopy Analysis of Yielding in Ultrafine-Grained Medium Mn Transformation-Induced Plasticity Steel
journal, February 2013

Effect of Carbon and Manganese on the Quenching and Partitioning Response of CMnSi Steels
journal, January 2011

OpenMP and MPI implementations of an elasto-viscoplastic fast Fourier transform-based micromechanical solver for fast crystal plasticity modeling
journal, December 2018

Ab initio calculations of the lattice parameter and elastic stiffness coefficients of bcc Fe with solutes
journal, January 2017

Data files for ab initio calculations of the lattice parameter and elastic stiffness coefficients of bcc Fe with solutes
journal, February 2017

Effect of solutes on the lattice parameters and elastic stiffness coefficients of body-centered tetragonal Fe
journal, September 2018

Modeling of latent hardening produced by complex loading paths in FCC alloys
journal, March 2013

Constitutive modelling and identification of parameters of the plastic strain-induced martensitic transformation in 316L stainless steel at cryogenic temperatures
journal, July 2006

A crystal plasticity model incorporating the effects of precipitates in superalloys: Application to tensile, compressive, and cyclic deformation of Inconel 718
journal, December 2017

Austenite Stability Effects on Tensile Behavior of Manganese-Enriched-Austenite Transformation-Induced Plasticity Steel
journal, April 2011

DREAM.3D: A Digital Representation Environment for the Analysis of Microstructure in 3D
journal, April 2014

Computationally efficient predictions of crystal plasticity based forming limit diagrams using a spectral database
journal, April 2018

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

A constitutive model for the formation of martensite in austenitic steels under large strain plasticity
journal, July 2007

Crystal-plasticity finite-element analysis of anisotropic deformation behavior in a commercially pure titanium Grade 1 sheet
journal, April 2017

Crystal-plasticity finite-element analysis of inelastic behavior during unloading in a magnesium alloy sheet
journal, July 2011

Multiscale modelling of the induced plastic anisotropy in bcc metals
journal, August 2011

A variational approach to the theory of the elastic behaviour of multiphase materials
journal, March 1963

On discontinuous plastic states, with special reference to localized necking in thin sheets
journal, October 1952

Generalized constitutive relations for incremental deformation of metal crystals by multislip
journal, March 1966

Constitutive analysis of elastic-plastic crystals at arbitrary strain
journal, December 1972

Determining Individual Phase Flow Properties in a Quench and Partitioning Steel with In Situ High-Energy X-Ray Diffraction and Multiphase Elasto-Plastic Self-Consistent Method
journal, February 2016

Individual phase constitutive properties of a TRIP-assisted QP980 steel from a combined synchrotron X-ray diffraction and crystal plasticity approach
journal, June 2017

Elastic-Plastic Behaviour of Polycrystalline Metals and Composites
journal, October 1970

Investigation on deformation mode dependence of strain-induced martensitic transformation in trip steels and modelling of transformation kinetics
journal, February 1998

A deformation mechanism based crystal plasticity model of ultrafine-grained/nanocrystalline FCC polycrystals
journal, November 2016

Experiment and modeling to investigate the effect of stress state, strain and temperature on martensitic phase transformation in TRIP-assisted steel
journal, September 2015

Crystal plasticity finite element analysis of ferritic stainless steel for sheet formability prediction
journal, June 2017

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

Thermodynamic theory of dislocation-mediated plasticity
journal, June 2010

Thermodynamic dislocation theory: Size effect in torsion
journal, April 2019

Crystal plasticity finite element modeling of mechanically induced martensitic transformation (MIMT) in metastable austenite
journal, May 2010

A dislocation density-based single crystal constitutive equation
journal, July 2010

TRIP steel retained austenite transformation under cyclic V-bending deformation
journal, June 2014

A robust integration algorithm for implementing rate dependent crystal plasticity into explicit finite element method
journal, February 2008

Grain-scale experimental validation of crystal plasticity finite element simulations of tantalum oligocrystals
journal, September 2014

A multi-scale model of dislocation plasticity in α-Fe: Incorporating temperature, strain rate and non-Schmid effects
journal, October 2015

Simulation of polycrystal deformation with grain and grain boundary effects
journal, September 2011

A dislocation dynamics based higher-order crystal plasticity model and applications on confined thin-film plasticity
journal, February 2011

The crystallography of martensite transformations II
journal, January 1954

A hierarchical model for rate-dependent polycrystals
journal, May 2009

Limit strains in the processes of stretch-forming sheet metal
journal, September 1967

On modeling the development of crystallographic texture in bulk forming processes
journal, January 1989

Kinetics of strain-induced martensitic nucleation
journal, April 1975

Hexahedral Mesh Generation for Computational Materials Modeling
journal, January 2017

Non-associated flow rule with symmetric stiffness modulus for isotropic-kinematic hardening and its application for earing in circular cup drawing
journal, December 2012

On Estimation of a Probability Density Function and Mode
journal, September 1962

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

Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity
journal, November 1971

DAMASK: the Düsseldorf Advanced MAterial Simulation Kit for studying crystal plasticity using an FE based or a spectral numerical solver
journal, January 2012

Experimental and Visco-Plastic Self-Consistent evaluation of forming limit diagrams for anisotropic sheet metals: An efficient and robust implementation of the M-K model
journal, October 2015

Prediction of martensitic transformation and deformation behavior in the TRIP steel sheet forming
journal, October 2008

Carbon partitioning into austenite after martensite transformation
journal, May 2003

Elastic constants of binary iron-base alloys
journal, August 1972

A multiscale approach to modeling formability of dual-phase steels
journal, January 2016

Micromechanics of plastic deformation and phase transformation in a three-phase TRIP-assisted advanced high strength steel: Experiments and modeling
journal, May 2015

A general forming limit criterion for sheet metal forming
journal, January 2000

Review of theoretical models of the strain-based FLD and their relevance to the stress-based FLD
journal, August 2004

A constitutive model for transformation plasticity accompanying strain-induced martensitic transformations in metastable austenitic steels
journal, July 1992

A multiscale thermomechanical model for cubic to tetragonal martensitic phase transformations
journal, July 2006

Thermal stability of retained austenite in TRIP steels studied by synchrotron X-ray diffraction during cooling
journal, December 2005

High-strain-rate behavior of low-alloy multiphase aluminum- and silicon-based transformation-induced plasticity steels
journal, May 2006

Deformation mode and strain path dependence of martensite phase transformation in a medium manganese TRIP steel
journal, January 2018