Statistical characterization of twin transmission across grain boundaries in magnesium

Kumar, Mariyappan Arul; McCabe, Rodney James; Taupin, Vincent; Tomé, Carlos N.; Capolungo, Laurent

doi:10.1016/j.matchar.2022.112457

Title: Statistical characterization of twin transmission across grain boundaries in magnesium

Abstract

Here, a detailed statistical analysis of twin transmission (TT) across grain boundaries is performed in rolled, commercial purity magnesium compressed along the rolling direction. EBSD images are acquired from two different cuts: a section containing the rolling (RD) and normal (ND) directions; and a section at 35° to the ND which contains transverse direction (TD). An automated twinning analysis software, METIS, is used to obtain the statistical correlations between deformation twins and other microstructural features by analyzing EBSD microstructures comprising thousands of grains and twins. This detailed statistical analysis reveals that the TT propensity is sensitive to the grain boundary (GB) misorientation angle but not to the GB misorientation axis. Specifically, TT propensity decreases with increasing GB misorientation angle; however, the decreasing trend is not monotonic. Further, the detailed analysis of TT events combining macroscopic Schmid factor and the geometric measures (m’: accounts for the alignment of both twin plane normal and shear directions; m”: accounts for the alignment of only twin shear directions; and m”’: accounts for the alignment of only twin plane normal) helps in understanding and identifying the process of twin-pair formation, i.e., co-nucleation versus transmission, also to identify the role of local stresses at GBs inducedmore »« less

Authors:

^[1];

^[1]; Taupin, Vincent ^[2];

^[1];

^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Universite de Lorraine (France); Centre National de la Recherche Scientifique (CNRS) (France); Arts et Métiers ParisTech (France)

Publication Date:: Fri Nov 04 00:00:00 EDT 2022

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

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1898358

Alternate Identifier(s):: OSTI ID: 1962125

Report Number(s):: LA-UR-22-20355
Journal ID: ISSN 1044-5803

Grant/Contract Number:: 89233218CNA000001; FWP 06SCPE401

Resource Type:: Accepted Manuscript

Journal Name:: Materials Characterization

Additional Journal Information:: Journal Volume: 194; Journal ID: ISSN 1044-5803

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE; Magnesium; Deformation twinning; Microstructure; Bayesian inference; EBSD

Citation Formats


                    Kumar, Mariyappan Arul, McCabe, Rodney James, Taupin, Vincent, Tomé, Carlos N., and Capolungo, Laurent. Statistical characterization of twin transmission across grain boundaries in magnesium.  United States: N. p., 2022. 
Web.  doi:10.1016/j.matchar.2022.112457.

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                    Kumar, Mariyappan Arul, McCabe, Rodney James, Taupin, Vincent, Tomé, Carlos N., & Capolungo, Laurent. Statistical characterization of twin transmission across grain boundaries in magnesium.  United States.  https://doi.org/10.1016/j.matchar.2022.112457

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                    Kumar, Mariyappan Arul, McCabe, Rodney James, Taupin, Vincent, Tomé, Carlos N., and Capolungo, Laurent. Fri .  
"Statistical characterization of twin transmission across grain boundaries in magnesium".  United States.  https://doi.org/10.1016/j.matchar.2022.112457.  https://www.osti.gov/servlets/purl/1898358.

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@article{osti_1898358,

  title        = {Statistical characterization of twin transmission across grain boundaries in magnesium},

  author       = {Kumar, Mariyappan Arul and McCabe, Rodney James and Taupin, Vincent and Tomé, Carlos N. and Capolungo, Laurent},

  abstractNote = {Here, a detailed statistical analysis of twin transmission (TT) across grain boundaries is performed in rolled, commercial purity magnesium compressed along the rolling direction. EBSD images are acquired from two different cuts: a section containing the rolling (RD) and normal (ND) directions; and a section at 35° to the ND which contains transverse direction (TD). An automated twinning analysis software, METIS, is used to obtain the statistical correlations between deformation twins and other microstructural features by analyzing EBSD microstructures comprising thousands of grains and twins. This detailed statistical analysis reveals that the TT propensity is sensitive to the grain boundary (GB) misorientation angle but not to the GB misorientation axis. Specifically, TT propensity decreases with increasing GB misorientation angle; however, the decreasing trend is not monotonic. Further, the detailed analysis of TT events combining macroscopic Schmid factor and the geometric measures (m’: accounts for the alignment of both twin plane normal and shear directions; m”: accounts for the alignment of only twin shear directions; and m”’: accounts for the alignment of only twin plane normal) helps in understanding and identifying the process of twin-pair formation, i.e., co-nucleation versus transmission, also to identify the role of local stresses at GBs induced by inter-grain interaction versus twinning shear transformation processes. In addition, Bayesian inference is used to draw statistically meaningful conclusions as to the likelihood of transmission given misorientation angles. Lastly, twin chain frequency as a function of chain length is predicted using the probability distribution obtained from the Bayesian inference and compared with the actual data from the EBSD microstructures.},

  doi          = {10.1016/j.matchar.2022.112457},

  journal      = {Materials Characterization},

  number       = ,

  volume       = 194,

  place        = {United States},

  year         = {Fri Nov 04 00:00:00 EDT 2022},

  month        = {Fri Nov 04 00:00:00 EDT 2022}

}

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Title: Statistical characterization of twin transmission across grain boundaries in magnesium

Abstract

Citation Formats

Compound cross-grain boundary extension twin structure and its related twin variant selection in a deformed Mg alloy journal, September 2017

Role of microstructure on twin nucleation and growth in HCP titanium: A statistical study journal, April 2018

Single and double twin nucleation, growth, and interaction in an extruded magnesium alloy journal, April 2017

Dislocation pile-up and grain boundary interactions in 304 stainless steel journal, June 1986

Geometrical compatibility factor analysis of paired extension twins in extruded Mg–3Al–1Zn alloys journal, December 2015

Dislocation and grain boundary interactions in metals journal, December 1988

Effect of microstructure on the nucleation of deformation twins in polycrystalline high-purity magnesium: A multi-scale modeling study journal, May 2011

Numerical study of the stress state of a deformation twin in magnesium journal, February 2015

On the selection of extension twin variants with low Schmid factors in a deformed Mg alloy journal, January 2015

A crystal plasticity FE model for deformation with twin nucleation in magnesium alloys journal, April 2015

Statistical analysis of twin/grain boundary interactions in pure rhenium journal, July 2019

Quasi in-situ investigation on the 112¯2 twin pair in cryogenic rolled Ti journal, May 2020

Local microstructure and micromechanical stress evolution during deformation twinning in hexagonal polycrystals journal, February 2020

Nucleation and propagation of { 1 0 1 ¯ 2 } twins in AZ31 magnesium alloy journal, November 2015

Revealing the effect of local stresses on twin growth mechanisms in titanium using synchrotron X-ray diffraction journal, December 2021

Review on slip transmission criteria in experiments and crystal plasticity models journal, November 2015

Compatibility of deformation in two-phase Ti-Al alloys: Dependence on microstructure and orientation relationships journal, July 1995

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Formation of single and multiple deformation twins in nanocrystalline fcc metals journal, August 2009

The role of residual dislocation arrays in slip induced cavitation, migration and dynamic recrystallization at grain boundaries journal, December 1985

Phase-field model of deformation twin-grain boundary interactions in hexagonal systems journal, November 2020

The role of twinning–detwinning on fatigue fracture morphology of Mg–3%Al–1%Zn alloy journal, October 2008

Quantitative prediction of grain boundary misorientation effect on twin transmission in hexagonal metals journal, July 2020

An atomic perspective on twin transmission in magnesium journal, November 2018

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Relationship between fatigue crack initiation and activated twins in as-extruded pure magnesium journal, November 2013

The role of heterogeneous deformation on damage nucleation at grain boundaries in single phase metals journal, September 2009

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A new mechanism for twin growth in Mg alloys journal, December 2014

Challenges in the prediction of twin transmission at grain boundaries in a magnesium alloy journal, October 2016

A study of deformation twinning in a titanium alloy by X-ray diffraction contrast tomography journal, February 2016

Role of alloying elements on twin growth and twin transmission in magnesium alloys journal, October 2017

Yield point elongation due to twinning in a magnesium alloy journal, February 2012

Prediction of slip transfer mechanisms across grain boundaries journal, May 1989

Understanding of variant selection and twin patterns in compressed Mg alloy sheets via combined analysis of Schmid factor and strain compatibility factor journal, July 2014

Magnesium and its alloys applications in automotive industry journal, November 2007

AnIn Situ transmission electron microscope deformation study of the slip transfer mechanisms in metals journal, September 1990

Nucleation of paired twins at grain boundaries in titanium journal, October 2010

Understanding common grain boundary twins in Mg alloys by a composite Schmid factor journal, December 2019

Plastic deformation of zirconium single crystals journal, July 1971

The roles of grain boundary dislocations and disclinations in the nucleation of {102} twinning journal, January 2014

Growth of { 11 2 ¯ 2 } twins in titanium: A combined experimental and modelling investigation of the local state of deformation journal, March 2017

In situ observation of collective grain-scale mechanics in Mg and Mg–rare earth alloys journal, November 2014

Crack propagation along grain boundaries and twins in Mg and Mg–0.3 at.%Y alloy during in-situ straining in transmission electron microscope journal, January 2018

Plastic strain-induced grain refinement at the nanometer scale in copper journal, November 2006

Crack initiation mechanism of extruded AZ31 magnesium alloy in the very high cycle fatigue regime journal, September 2008

Investigation of slip transmission behavior across grain boundaries in polycrystalline Ni 3 Al using nanoindentation journal, January 2004

Interaction between a { 10 1 ‾ 2 } twin boundary and grain boundaries in magnesium journal, March 2020

Grain boundaries and interfaces in slip transfer journal, August 2014

Geometric compatibility measure m′ for twin transmission: A predictor or descriptor? journal, December 2022

Effect of neighboring grain orientation on strain localization in slip bands in HCP materials journal, September 2021

Nucleation and growth of twins in Zr: A statistical study journal, December 2009

Observation of Twin Transmission Process in Mg Alloys by In Situ EBSD journal, March 2019

Multiple slip in bicrystal deformation journal, June 1957

On the criteria for slip transmission across interfaces in polycrystals journal, January 1992

Modeling the effect of neighboring grains on twin growth in HCP polycrystals journal, August 2017

Three-dimensional local stress analysis on grain boundaries in polycrystalline material journal, May 2007

Critical Assessment 6: Magnesium sheet alloys: viable alternatives to steels? journal, July 2014

Characterizing the role of adjoining twins at grain boundaries in hexagonal close packed materials journal, March 2019

In-situ analysis of slip transfer and heterogeneous deformation in tension of Mg-5.4Gd-1.8Y-1.5Zn alloy journal, December 2020

Compound cross-grain boundary extension twin structure and its related twin variant selection in a deformed Mg alloy
journal, September 2017

Role of microstructure on twin nucleation and growth in HCP titanium: A statistical study
journal, April 2018

Single and double twin nucleation, growth, and interaction in an extruded magnesium alloy
journal, April 2017

Dislocation pile-up and grain boundary interactions in 304 stainless steel
journal, June 1986

Geometrical compatibility factor analysis of paired extension twins in extruded Mg–3Al–1Zn alloys
journal, December 2015

Dislocation and grain boundary interactions in metals
journal, December 1988

Effect of microstructure on the nucleation of deformation twins in polycrystalline high-purity magnesium: A multi-scale modeling study
journal, May 2011

Numerical study of the stress state of a deformation twin in magnesium
journal, February 2015

On the selection of extension twin variants with low Schmid factors in a deformed Mg alloy
journal, January 2015

A crystal plasticity FE model for deformation with twin nucleation in magnesium alloys
journal, April 2015

Statistical analysis of twin/grain boundary interactions in pure rhenium
journal, July 2019

Quasi in-situ investigation on the 112¯2 twin pair in cryogenic rolled Ti
journal, May 2020

Local microstructure and micromechanical stress evolution during deformation twinning in hexagonal polycrystals
journal, February 2020

Nucleation and propagation of ${1 0 \bar{1} 2}$ twins in AZ31 magnesium alloy
journal, November 2015

Revealing the effect of local stresses on twin growth mechanisms in titanium using synchrotron X-ray diffraction
journal, December 2021

Review on slip transmission criteria in experiments and crystal plasticity models
journal, November 2015

Compatibility of deformation in two-phase Ti-Al alloys: Dependence on microstructure and orientation relationships
journal, July 1995

Slip band–grain boundary interactions in commercial-purity titanium
journal, September 2014

Formation of single and multiple deformation twins in nanocrystalline fcc metals
journal, August 2009

The role of residual dislocation arrays in slip induced cavitation, migration and dynamic recrystallization at grain boundaries
journal, December 1985

Phase-field model of deformation twin-grain boundary interactions in hexagonal systems
journal, November 2020

The role of twinning–detwinning on fatigue fracture morphology of Mg–3%Al–1%Zn alloy
journal, October 2008

Quantitative prediction of grain boundary misorientation effect on twin transmission in hexagonal metals
journal, July 2020

An atomic perspective on twin transmission in magnesium
journal, November 2018

Crack opening due to deformation twin shear at grain boundaries in near-γ TiAl
journal, January 2007

Relationship between fatigue crack initiation and activated twins in as-extruded pure magnesium
journal, November 2013

The role of heterogeneous deformation on damage nucleation at grain boundaries in single phase metals
journal, September 2009

Twin boundary interactions with grain boundaries investigated in pure rhenium
journal, December 2014

Atomistic and phase field simulations of three dimensional interactions of ${10 \bar{1} 2}$ twins with grain boundaries in Mg: Twin transmission and dislocation emission
journal, December 2021

The crystallography and deformation modes of hexagonal close-packed metals
journal, January 1967

A new mechanism for twin growth in Mg alloys
journal, December 2014

Challenges in the prediction of twin transmission at grain boundaries in a magnesium alloy
journal, October 2016

A study of deformation twinning in a titanium alloy by X-ray diffraction contrast tomography
journal, February 2016

Role of alloying elements on twin growth and twin transmission in magnesium alloys
journal, October 2017

Yield point elongation due to twinning in a magnesium alloy
journal, February 2012

Prediction of slip transfer mechanisms across grain boundaries
journal, May 1989

Understanding of variant selection and twin patterns in compressed Mg alloy sheets via combined analysis of Schmid factor and strain compatibility factor
journal, July 2014

Magnesium and its alloys applications in automotive industry
journal, November 2007

AnIn Situ transmission electron microscope deformation study of the slip transfer mechanisms in metals
journal, September 1990

Nucleation of paired twins at grain boundaries in titanium
journal, October 2010

Understanding common grain boundary twins in Mg alloys by a composite Schmid factor
journal, December 2019

Plastic deformation of zirconium single crystals
journal, July 1971

The roles of grain boundary dislocations and disclinations in the nucleation of {102} twinning
journal, January 2014

Growth of { $11 \bar{2} 2$ } twins in titanium: A combined experimental and modelling investigation of the local state of deformation
journal, March 2017

In situ observation of collective grain-scale mechanics in Mg and Mg–rare earth alloys
journal, November 2014

Crack propagation along grain boundaries and twins in Mg and Mg–0.3 at.%Y alloy during in-situ straining in transmission electron microscope
journal, January 2018

Plastic strain-induced grain refinement at the nanometer scale in copper
journal, November 2006

Crack initiation mechanism of extruded AZ31 magnesium alloy in the very high cycle fatigue regime
journal, September 2008

Investigation of slip transmission behavior across grain boundaries in polycrystalline Ni ₃ Al using nanoindentation
journal, January 2004

Interaction between a ${10 \overline{1} 2}$ twin boundary and grain boundaries in magnesium
journal, March 2020

Grain boundaries and interfaces in slip transfer
journal, August 2014

Geometric compatibility measure m′ for twin transmission: A predictor or descriptor?
journal, December 2022

Effect of neighboring grain orientation on strain localization in slip bands in HCP materials
journal, September 2021

Nucleation and growth of twins in Zr: A statistical study
journal, December 2009

Observation of Twin Transmission Process in Mg Alloys by In Situ EBSD
journal, March 2019

Multiple slip in bicrystal deformation
journal, June 1957

On the criteria for slip transmission across interfaces in polycrystals
journal, January 1992

Modeling the effect of neighboring grains on twin growth in HCP polycrystals
journal, August 2017

Three-dimensional local stress analysis on grain boundaries in polycrystalline material
journal, May 2007

Critical Assessment 6: Magnesium sheet alloys: viable alternatives to steels?
journal, July 2014

Characterizing the role of adjoining twins at grain boundaries in hexagonal close packed materials
journal, March 2019

In-situ analysis of slip transfer and heterogeneous deformation in tension of Mg-5.4Gd-1.8Y-1.5Zn alloy
journal, December 2020