Modeling the effect of neighboring grains on twin growth in HCP polycrystals

Kumar, M. Arul; Beyerlein, I. J.; Lebensohn, R. A.; Tomé, C. N.

doi:10.1088/1361-651X/aa7bbb

Title: Modeling the effect of neighboring grains on twin growth in HCP polycrystals

Abstract

In this paper, we study the dependence of neighboring grain orientation on the local stress state around a deformation twin in a hexagonal close packed (HCP) crystal and its effects on the resistance against twin thickening. We use a recently developed, full-field elasto-visco-plastic formulation based on fast Fourier transforms that accounts for the twinning shear transformation imposed by the twin lamella. The study is applied to Mg, Zr and Ti, since these HCP metals tend to deform by activation of different types of slip modes. The analysis shows that the local stress along the twin boundary are strongly controlled by the relative orientation of the easiest deformation modes in the neighboring grain with respect to the twin lamella in the parent grain. A geometric expression that captures this parent-neighbor relationship is proposed and incorporated into a larger scale, mean-field visco-plastic self-consistent model to simulate the role of neighboring grain orientation on twin thickening. We demonstrate that the approach improves the prediction of twin area fraction distribution when compared with experimental observations.

Authors:

Kumar, M. Arul ^[1]; Beyerlein, I. J. ^[2]; Lebensohn, R. A. ^[1]; Tomé, C. N. ^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Univ. of California, Santa Barbara, CA (United States)

Publication Date:: Fri Aug 04 00:00:00 EDT 2017

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

Sponsoring Org.:: USDOE Office of Science (SC). Basic Energy Sciences (BES) (SC-22)

OSTI Identifier:: 1406209

Report Number(s):: LA-UR-17-21482
Journal ID: ISSN 0965-0393

Grant/Contract Number:: AC52-06NA25396

Resource Type:: Accepted Manuscript

Journal Name:: Modelling and Simulation in Materials Science and Engineering

Additional Journal Information:: Journal Volume: 25; Journal Issue: 6; Journal ID: ISSN 0965-0393

Publisher:: IOP Publishing

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE; deformation twinning; HCP metals; shear transformation; backstress; twin growth

Citation Formats


                    Kumar, M. Arul, Beyerlein, I. J., Lebensohn, R. A., and Tomé, C. N. Modeling the effect of neighboring grains on twin growth in HCP polycrystals.  United States: N. p., 2017. 
Web.  doi:10.1088/1361-651X/aa7bbb.

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                    Kumar, M. Arul, Beyerlein, I. J., Lebensohn, R. A., & Tomé, C. N. Modeling the effect of neighboring grains on twin growth in HCP polycrystals.  United States.  https://doi.org/10.1088/1361-651X/aa7bbb

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                    Kumar, M. Arul, Beyerlein, I. J., Lebensohn, R. A., and Tomé, C. N. Fri .  
"Modeling the effect of neighboring grains on twin growth in HCP polycrystals".  United States.  https://doi.org/10.1088/1361-651X/aa7bbb.  https://www.osti.gov/servlets/purl/1406209.

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@article{osti_1406209,

  title        = {Modeling the effect of neighboring grains on twin growth in HCP polycrystals},

  author       = {Kumar, M. Arul and Beyerlein, I. J. and Lebensohn, R. A. and Tomé, C. N.},

  abstractNote = {In this paper, we study the dependence of neighboring grain orientation on the local stress state around a deformation twin in a hexagonal close packed (HCP) crystal and its effects on the resistance against twin thickening. We use a recently developed, full-field elasto-visco-plastic formulation based on fast Fourier transforms that accounts for the twinning shear transformation imposed by the twin lamella. The study is applied to Mg, Zr and Ti, since these HCP metals tend to deform by activation of different types of slip modes. The analysis shows that the local stress along the twin boundary are strongly controlled by the relative orientation of the easiest deformation modes in the neighboring grain with respect to the twin lamella in the parent grain. A geometric expression that captures this parent-neighbor relationship is proposed and incorporated into a larger scale, mean-field visco-plastic self-consistent model to simulate the role of neighboring grain orientation on twin thickening. We demonstrate that the approach improves the prediction of twin area fraction distribution when compared with experimental observations.},

  doi          = {10.1088/1361-651X/aa7bbb},

  journal      = {Modelling and Simulation in Materials Science and Engineering},

  number       = 6,

  volume       = 25,

  place        = {United States},

  year         = {Fri Aug 04 00:00:00 EDT 2017},

  month        = {Fri Aug 04 00:00:00 EDT 2017}

}

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Works referenced in this record:

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

Beyerlein, I. J.; McCabe, R. J.; Tomé, C. N.
Journal of the Mechanics and Physics of Solids, Vol. 59, Issue 5
DOI: 10.1016/j.jmps.2011.02.007

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

Arul Kumar, M.; Kanjarla, A. K.; Niezgoda, S. R.
Acta Materialia, Vol. 84
DOI: 10.1016/j.actamat.2014.10.048

Spatially resolved in situ strain measurements from an interior twinned grain in bulk polycrystalline AZ31 alloy
journal, June 2013

Balogh, L.; Niezgoda, S. R.; Kanjarla, A. K.
Acta Materialia, Vol. 61, Issue 10
DOI: 10.1016/j.actamat.2013.02.048

Elastic anisotropy and yield surface estimates of polycrystals
journal, August 2009

Brenner, R.; Lebensohn, R. A.; Castelnau, O.
International Journal of Solids and Structures, Vol. 46, Issue 16
DOI: 10.1016/j.ijsolstr.2009.04.001

A finite element model of deformation twinning in zirconium
journal, January 2008

Zhang, Richard Y.; Daymond, Mark R.; Holt, Richard A.
Materials Science and Engineering: A, Vol. 473, Issue 1-2
DOI: 10.1016/j.msea.2007.04.021

Strain rate and temperature effects on the selection of primary and secondary slip and twinning systems in HCP Zr
journal, April 2015

Knezevic, Marko; Zecevic, Milovan; Beyerlein, Irene J.
Acta Materialia, Vol. 88
DOI: 10.1016/j.actamat.2015.01.037

Stochastic modeling of twin nucleation in polycrystals: An application in hexagonal close-packed metals
journal, May 2014

Niezgoda, Stephen R.; Kanjarla, Anand K.; Beyerlein, Irene J.
International Journal of Plasticity, Vol. 56
DOI: 10.1016/j.ijplas.2013.11.005

Strength and ductility with {10͞11} — {10͞12} double twinning in a magnesium alloy
journal, April 2016

Lentz, M.; Risse, M.; Schaefer, N.
Nature Communications, Vol. 7, Issue 1
DOI: 10.1038/ncomms11068

Twinning-Associated Boundaries in Hexagonal Close-Packed Metals
journal, November 2013

Wang, Jian; Yu, Qin; Jiang, Yanyao
JOM, Vol. 66, Issue 1
DOI: 10.1007/s11837-013-0803-0

The role of strain accommodation during the variant selection of primary twins in magnesium
journal, March 2011

Jonas, John J.; Mu, Sijia; Al-Samman, Talal
Acta Materialia, Vol. 59, Issue 5
DOI: 10.1016/j.actamat.2010.12.005

Reorientation and stress relaxation due to twinning: Modeling and experimental characterization for Mg
journal, June 2008

Clausen, B.; Tomé, C. N.; Brown, D. W.
Acta Materialia, Vol. 56, Issue 11
DOI: 10.1016/j.actamat.2008.01.057

Twinning-induced dynamic recrystallization in a magnesium alloy extruded at 450°C
journal, November 2011

Ma, Q.; Li, B.; Marin, E. B.
Scripta Materialia, Vol. 65, Issue 9
DOI: 10.1016/j.scriptamat.2011.07.046

Characterization of basal-prismatic interface of twin in deformed titanium by high-resolution transmission electron microscopy
journal, March 2015

Sun, Q.; Zhang, X. Y.; Tu, J.
Philosophical Magazine Letters, Vol. 95, Issue 3
DOI: 10.1080/09500839.2015.1021399

Multi-scale modeling and experimental study of twin inception and propagation in hexagonal close-packed materials using a crystal plasticity finite element approach—Part I: Average behavior
journal, March 2013

Abdolvand, Hamidreza; Daymond, Mark R.
Journal of the Mechanics and Physics of Solids, Vol. 61, Issue 3
DOI: 10.1016/j.jmps.2012.10.013

Assessment of residual stress fields at deformation twin tips and the surrounding environments
journal, February 2016

Abdolvand, Hamidreza; Wilkinson, Angus J.
Acta Materialia, Vol. 105
DOI: 10.1016/j.actamat.2015.11.036

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

Lebensohn, Ricardo A.; Kanjarla, Anand K.; Eisenlohr, Philip
International Journal of Plasticity, Vol. 32-33
DOI: 10.1016/j.ijplas.2011.12.005

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

Xu, D. K.; Han, E. H.
Scripta Materialia, Vol. 69, Issue 9
DOI: 10.1016/j.scriptamat.2013.08.006

Influence of temperature and plastic relaxation on tensile twinning in a magnesium alloy
journal, October 2013

Ghaderi, A.; Siska, F.; Barnett, M. R.
Scripta Materialia, Vol. 69, Issue 7
DOI: 10.1016/j.scriptamat.2013.06.016

Toward understanding twin–twin interactions in hcp metals: Utilizing multiscale techniques to characterize deformation mechanisms in magnesium
journal, September 2014

Morrow, B. M.; Cerreta, E. K.; McCabe, R. J.
Materials Science and Engineering: A, Vol. 613
DOI: 10.1016/j.msea.2014.06.062

In Situ Characterization of Twin Nucleation in Pure Ti Using 3D-XRD
journal, November 2013

Bieler, Thomas R.; Wang, Leyun; Beaudoin, Armand J.
Metallurgical and Materials Transactions A, Vol. 45, Issue 1
DOI: 10.1007/s11661-013-2082-3

Deformation twinning in h.c.p. metals and alloys
journal, May 1991

Yoo, M. H.; Lee, J. K.
Philosophical Magazine A, Vol. 63, Issue 5
DOI: 10.1080/01418619108213931

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

Partridge, P. G.
Metallurgical Reviews, Vol. 12, Issue 1
DOI: 10.1179/mtlr.1967.12.1.169

Direct numerical simulation of deformation twinning in polycrystals
journal, November 2016

Chester, Shawn A.; Bernier, Joel V.; Barton, Nathan R.
Acta Materialia, Vol. 120
DOI: 10.1016/j.actamat.2016.08.054

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

Partridge, P. G.
International Materials Reviews, Vol. 12, Issue 1
DOI: 10.1179/095066067790138184

Plastic relaxation of the internal stress induced by twinning
journal, December 2013

Barnett, Matthew R.; Stanford, Nicole; Ghaderi, Alireza
Acta Materialia, Vol. 61, Issue 20
DOI: 10.1016/j.actamat.2013.09.024

The determination of the elastic field of an ellipsoidal inclusion, and related problems
journal, August 1957

Eshelby, John Douglas
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 241, Issue 1226, p. 376-396
DOI: 10.1098/rspa.1957.0133

Structural interpretation of the nucleation and growth of deformation twins in Zr and Ti—I. Application of the coincidence site lattice (CSL) theory to twinning problems in h.c.p. structures
journal, June 1995

Song, S. G.; Gray, G. T.
Acta Metallurgica et Materialia, Vol. 43, Issue 6
DOI: 10.1016/0956-7151(94)00433-1

Effects of texture, temperature and strain on the deformation modes of zirconium
journal, August 2006

McCabe, R. J.; Cerreta, E. K.; Misra, A.
Philosophical Magazine, Vol. 86, Issue 23
DOI: 10.1080/14786430600684500

Observations on the interaction of twins with grain boundaries in Mo-35 at.% Re alloy
journal, March 1973

Mahajan, S.
Acta Metallurgica, Vol. 21, Issue 3
DOI: 10.1016/0001-6160(73)90011-4

Quantitative analysis of deformation twinning in zirconium
journal, March 2009

McCabe, Rodney J.; Proust, Gwénaëlle; Cerreta, Ellen K.
International Journal of Plasticity, Vol. 25, Issue 3
DOI: 10.1016/j.ijplas.2008.03.010

A phase-field model for incoherent martensitic transformations including plastic accommodation processes in the austenite
journal, October 2011

Kundin, J.; Raabe, D.; Emmerich, H.
Journal of the Mechanics and Physics of Solids, Vol. 59, Issue 10
DOI: 10.1016/j.jmps.2011.07.001

Experimental Characterization and Crystal Plasticity Modeling of Heterogeneous Deformation in Polycrystalline α-Ti
journal, June 2010

Wang, L.; Barabash, R. I.; Yang, Y.
Metallurgical and Materials Transactions A, Vol. 42, Issue 3
DOI: 10.1007/s11661-010-0249-8

Effect of local stress fields on twin characteristics in HCP metals
journal, September 2016

Arul Kumar, M.; Beyerlein, I. J.; Tomé, C. N.
Acta Materialia, Vol. 116
DOI: 10.1016/j.actamat.2016.06.042

Strengthening and toughening of magnesium alloy by {10−12} extension twins
journal, January 2012

Xin, Yunchang; Wang, Maoyin; Zeng, Zhen
Scripta Materialia, Vol. 66, Issue 1
DOI: 10.1016/j.scriptamat.2011.09.033

A probabilistic twin nucleation model for HCP polycrystalline metals
journal, March 2010

Beyerlein, I. J.; Tomé, C. N.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 466, Issue 2121
DOI: 10.1098/rspa.2009.0661

Orientation image-based micromechanical modelling of subgrain texture evolution in polycrystalline copper
journal, September 2008

Lebensohn, Ricardo A.; Brenner, Renald; Castelnau, Olivier
Acta Materialia, Vol. 56, Issue 15
DOI: 10.1016/j.actamat.2008.04.016

Estimating Critical Stresses Required for Twin Growth in a Magnesium Alloy
journal, December 2012

Barnett, Matthew; Setty, Mohan; Siska, Filip
Metallurgical and Materials Transactions A, Vol. 44, Issue 7
DOI: 10.1007/s11661-012-1573-y

Plastic deformation of zirconium single crystals
journal, July 1971

Akhtar, A.; Teghtsoonian, A.
Acta Metallurgica, Vol. 19, Issue 7
DOI: 10.1016/0001-6160(71)90019-8

Statistical analyses of deformation twinning in magnesium
journal, May 2010

Beyerlein, I. J.; Capolungo, L.; Marshall, P. E.
Philosophical Magazine, Vol. 90, Issue 16
DOI: 10.1080/14786431003630835

A spectral method solution to crystal elasto-viscoplasticity at finite strains
journal, July 2013

Eisenlohr, P.; Diehl, M.; Lebensohn, R. A.
International Journal of Plasticity, Vol. 46
DOI: 10.1016/j.ijplas.2012.09.012

Initiation and accommodation of primary twins in high-purity titanium
journal, June 2014

Qin, Hong; Jonas, John J.; Yu, Hongbing
Acta Materialia, Vol. 71
DOI: 10.1016/j.actamat.2014.03.025

Effect of twinning and dynamic recrystallization on the high strain rate rolling process
journal, November 2010

Zhu, S. Q.; Yan, H. G.; Chen, J. H.
Scripta Materialia, Vol. 63, Issue 10
DOI: 10.1016/j.scriptamat.2010.07.029

Grain neighbour effects on twin transmission in hexagonal close-packed materials
journal, December 2016

Arul Kumar, M.; Beyerlein, I. J.; McCabe, R. J.
Nature Communications, Vol. 7, Issue 1
DOI: 10.1038/ncomms13826

On the deformation twinning of Mg AZ31B: A three-dimensional synchrotron X-ray diffraction experiment and crystal plasticity finite element model
journal, July 2015

Abdolvand, Hamidreza; Majkut, Marta; Oddershede, Jette
International Journal of Plasticity, Vol. 70
DOI: 10.1016/j.ijplas.2015.03.001

Deformation twinning
journal, January 1995

Christian, J. W.; Mahajan, S.
Progress in Materials Science, Vol. 39, Issue 1-2
DOI: 10.1016/0079-6425(94)00007-7

Modeling texture, twinning and hardening evolution during deformation of hexagonal materials
journal, April 2007

Proust, G.; Tomé, C. N.; Kaschner, G. C.
Acta Materialia, Vol. 55, Issue 6
DOI: 10.1016/j.actamat.2006.11.017

Study of internal lattice strain distributions in stainless steel using a full-field elasto-viscoplastic formulation based on fast Fourier transforms
journal, April 2012

Kanjarla, A. K.; Lebensohn, R. A.; Balogh, L.
Acta Materialia, Vol. 60, Issue 6-7
DOI: 10.1016/j.actamat.2012.02.014

Fatigue damage development in pure polycrystalline magnesium under cyclic tension–compression loading
journal, September 2011

Yu, Qin; Zhang, Jixi; Jiang, Yanyao
Materials Science and Engineering: A, Vol. 528, Issue 25-26
DOI: 10.1016/j.msea.2011.06.064

Twin Nucleation by Slip Transfer across Grain Boundaries in Commercial Purity Titanium
journal, November 2009

Wang, L.; Yang, Y.; Eisenlohr, P.
Metallurgical and Materials Transactions A, Vol. 41, Issue 2
DOI: 10.1007/s11661-009-0097-6

Observations of the Atomic Structure of Tensile and Compressive Twin Boundaries and Twin–Twin Interactions in Zirconium
journal, August 2014

Morrow, Benjamin M.; McCabe, Rodney J.; Cerreta, Ellen K.
Metallurgical and Materials Transactions A, Vol. 45, Issue 13
DOI: 10.1007/s11661-014-2481-0

Accommodation around {101} twins in titanium
journal, October 1985

Minonishi, Y.; Morozumi, S.; Yoshinaga, H.
Scripta Metallurgica, Vol. 19, Issue 10
DOI: 10.1016/0036-9748(85)90246-7

Disconnections and other defects associated with twin interfaces
journal, October 2016

Hirth, J. P.; Wang, J.; Tomé, C. N.
Progress in Materials Science, Vol. 83
DOI: 10.1016/j.pmatsci.2016.07.003

Interfacial structure of { $1 0 \overline{1} 2$ } twin tip in deformed magnesium alloy
journal, November 2014

Sun, Q.; Zhang, X. Y.; Ren, Y.
Scripta Materialia, Vol. 90-91
DOI: 10.1016/j.scriptamat.2014.07.012

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

Beyerlein, I. J.; Tomé, C. N.
International Journal of Plasticity, Vol. 24, Issue 5
DOI: 10.1016/j.ijplas.2007.07.017

A constitutive model of twinning and detwinning for hexagonal close packed polycrystals
journal, October 2012

Wang, H.; Wu, P. D.; Tomé, C. N.
Materials Science and Engineering: A, Vol. 555
DOI: 10.1016/j.msea.2012.06.038

Grain size constraints on twin expansion in hexagonal close packed crystals
journal, October 2016

Arul Kumar, M.; Beyerlein, I. J.; Tomé, C. N.
Journal of Applied Physics, Vol. 120, Issue 15
DOI: 10.1063/1.4965719

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

Capolungo, L.; Marshall, P. E.; McCabe, R. J.
Acta Materialia, Vol. 57, Issue 20
DOI: 10.1016/j.actamat.2009.08.030

A crystal plasticity model for hexagonal close packed (HCP) crystals including twinning and de-twinning mechanisms
journal, October 2013

Wang, H.; Wu, P. D.; Wang, J.
International Journal of Plasticity, Vol. 49
DOI: 10.1016/j.ijplas.2013.02.016

Dilatational viscoplasticity of polycrystalline solids with intergranular cavities
journal, August 2011

Lebensohn, R. A.; Idiart, M. I.; Castañeda, P. Ponte
Philosophical Magazine, Vol. 91, Issue 22
DOI: 10.1080/14786435.2011.561811

Slip, twinning, and fracture in hexagonal close-packed metals
journal, March 1981

Yoo, M. H.
Metallurgical Transactions A, Vol. 12, Issue 3
DOI: 10.1007/BF02648537

Non-basal slip systems in HCP metals and alloys: source mechanisms
journal, December 2001

Yoo, M. H.; Agnew, S. R.; Morris, J. R.
Materials Science and Engineering: A, Vol. 319-321
DOI: 10.1016/S0921-5093(01)01027-9

Influence of temperature and strain rate on slip and twinning behavior of zr
journal, October 1995

Song, S. G.; Gray, G. T.
Metallurgical and Materials Transactions A, Vol. 26, Issue 10
DOI: 10.1007/BF02669423

Mechanical response of zirconium—I. Derivation of a polycrystal constitutive law and finite element analysis
journal, September 2001

Tomé, C.
Acta Materialia, Vol. 49, Issue 15
DOI: 10.1016/S1359-6454(01)00190-2

Structural interpretation of the nucleation and growth of deformation twins in Zr and Ti—II. Tem study of twin morphology and defect reactions during twinning
journal, June 1995

Song, S. G.; Gray, G. T.
Acta Metallurgica et Materialia, Vol. 43, Issue 6
DOI: 10.1016/0956-7151(94)00434-X

Evolution of stress in individual grains and twins in a magnesium alloy aggregate
journal, July 2009

Aydıner, C. C.; Bernier, J. V.; Clausen, B.
Physical Review B, Vol. 80, Issue 2
DOI: 10.1103/PhysRevB.80.024113

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

Lebensohn, R. A.; Tomé, C. N.
Acta Metallurgica et Materialia, Vol. 41, Issue 9
DOI: 10.1016/0956-7151(93)90130-K

A model for texture development dominated by deformation twinning: Application to zirconium alloys
journal, November 1991

Tomé, C. N.; Lebensohn, R. A.; Kocks, U. F.
Acta Metallurgica et Materialia, Vol. 39, Issue 11
DOI: 10.1016/0956-7151(91)90083-D

Stochastic Processes of {1012} Deformation Twinning in Hexagonal Close-Packed Polycrystalline Zirconium and Magnesium
journal, January 2011

Beyerlein, Irene J.; McCabe, R. J.; Tome, C. N.
International Journal for Multiscale Computational Engineering, Vol. 9, Issue 4
DOI: 10.1615/IntJMultCompEng.v9.i4.80

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

Moulinec, H.; Suquet, P.
Computer Methods in Applied Mechanics and Engineering, Vol. 157, Issue 1-2
DOI: 10.1016/S0045-7825(97)00218-1

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

A. Lebensohn, R.
Acta Materialia, Vol. 49, Issue 14
DOI: 10.1016/S1359-6454(01)00172-0

The Elastic Constants of Anisotropic Materials
journal, July 1946

Hearmon, R. F. S.
Reviews of Modern Physics, Vol. 18, Issue 3
DOI: 10.1103/RevModPhys.18.409

Single-Crystal Elastic Moduli and the hcp → bcc Transformation in Ti, Zr, and Hf
journal, July 1964

Fisher, E. S.; Renken, C. J.
Physical Review, Vol. 135, Issue 2A
DOI: 10.1103/PhysRev.135.A482

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

Clark, W. A. T.; Wagoner, R. H.; Shen, Z. Y.
Scripta Metallurgica et Materialia, Vol. 26, Issue 2
DOI: 10.1016/0956-716X(92)90173-C

A constitutive model for hcp materials deforming by slip and twinning
journal, October 2003

Staroselsky, A.; Anand, L.
International Journal of Plasticity, Vol. 19, Issue 10
DOI: 10.1016/S0749-6419(03)00039-1

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

Partridge, P. G.
International Materials Reviews, Vol. 12, Issue 1
DOI: 10.1179/imr.1967.12.1.169

Works referencing / citing this record:

Mechanical Twinning is a Correlated Dynamic Process
journal, April 2019

Vinogradov, A.; Agletdinov, E.; Merson, D.
Scientific Reports, Vol. 9, Issue 1
DOI: 10.1038/s41598-019-42317-4

A dislocation-based model for twin growth within and across grains
journal, February 2018

Lloyd, J. T.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 474, Issue 2210
DOI: 10.1098/rspa.2017.0709

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Critical Shape for the Growth of Grain Boundary Twin Embryos in Mg and Mg Alloys: Crystal Plasticity Modeling

Journal Article Su, Yanqing ; Arul Kumar, M. ; Beyerlein, Irene J. - Alloys

Application of polycrystalline hexagonal close packed (HCP) metals in engineering designs has been constrained by their anisotropic responses due to twinning and limited plasticity. In deformation, twins most often initiate at grain boundaries (GBs), and thicken and propagate across the grain. In this work, the GB twin embryos in Mg and Mg alloys, and the conditions that influence their propagation are investigated. Using a micromechanical crystal plasticity model, the role of embryo shape on the driving forces prevailing at the embryo boundaries that could support its expansion is studied. The modeled embryos are either planar, extending more in the shearmore »« less
https://doi.org/10.3390/alloys1020013
Grain size constraints on twin expansion in hexagonal close packed crystals

Journal Article Kumar, Mariyappan Arul ; Beyerlein, Irene Jane ; Tome, Carlos N. - Journal of Applied Physics

Deformation twins are stress-induced transformed domains of lamellar shape that form when polycrystalline hexagonal close packed metals, like Mg, are strained. Several studies have reported that the propensity of deformation twinning reduces as grain size decreases. Here, we use a 3D crystal plasticity based micromechanics model to calculate the effect of grain size on the driving forces responsible for expanding twin lamellae. The calculations reveal that constraints from the neighboring grain where the grain boundary and twin lamella meet induce a stress reversal in the twin lamella. A pronounced grain size effect arises as reductions in grain size cause thesemore »« less
Cited by 33
https://doi.org/10.1063/1.4965719

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Title: Modeling the effect of neighboring grains on twin growth in HCP polycrystals

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Citation Formats

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

Spatially resolved in situ strain measurements from an interior twinned grain in bulk polycrystalline AZ31 alloy journal, June 2013

Elastic anisotropy and yield surface estimates of polycrystals journal, August 2009

A finite element model of deformation twinning in zirconium journal, January 2008

Strain rate and temperature effects on the selection of primary and secondary slip and twinning systems in HCP Zr journal, April 2015

Stochastic modeling of twin nucleation in polycrystals: An application in hexagonal close-packed metals journal, May 2014

Strength and ductility with {10͞11} — {10͞12} double twinning in a magnesium alloy journal, April 2016

Twinning-Associated Boundaries in Hexagonal Close-Packed Metals journal, November 2013

The role of strain accommodation during the variant selection of primary twins in magnesium journal, March 2011

Reorientation and stress relaxation due to twinning: Modeling and experimental characterization for Mg journal, June 2008

Twinning-induced dynamic recrystallization in a magnesium alloy extruded at 450°C journal, November 2011

Characterization of basal-prismatic interface of twin in deformed titanium by high-resolution transmission electron microscopy journal, March 2015

Multi-scale modeling and experimental study of twin inception and propagation in hexagonal close-packed materials using a crystal plasticity finite element approach—Part I: Average behavior journal, March 2013

Assessment of residual stress fields at deformation twin tips and the surrounding environments journal, February 2016

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

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

Influence of temperature and plastic relaxation on tensile twinning in a magnesium alloy journal, October 2013

Toward understanding twin–twin interactions in hcp metals: Utilizing multiscale techniques to characterize deformation mechanisms in magnesium journal, September 2014

In Situ Characterization of Twin Nucleation in Pure Ti Using 3D-XRD journal, November 2013

Deformation twinning in h.c.p. metals and alloys journal, May 1991

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

Direct numerical simulation of deformation twinning in polycrystals journal, November 2016

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

Plastic relaxation of the internal stress induced by twinning journal, December 2013

The determination of the elastic field of an ellipsoidal inclusion, and related problems journal, August 1957

Structural interpretation of the nucleation and growth of deformation twins in Zr and Ti—I. Application of the coincidence site lattice (CSL) theory to twinning problems in h.c.p. structures journal, June 1995

Effects of texture, temperature and strain on the deformation modes of zirconium journal, August 2006

Observations on the interaction of twins with grain boundaries in Mo-35 at.% Re alloy journal, March 1973

Quantitative analysis of deformation twinning in zirconium journal, March 2009

A phase-field model for incoherent martensitic transformations including plastic accommodation processes in the austenite journal, October 2011

Experimental Characterization and Crystal Plasticity Modeling of Heterogeneous Deformation in Polycrystalline α-Ti journal, June 2010

Effect of local stress fields on twin characteristics in HCP metals journal, September 2016

Strengthening and toughening of magnesium alloy by {10−12} extension twins journal, January 2012

A probabilistic twin nucleation model for HCP polycrystalline metals journal, March 2010

Orientation image-based micromechanical modelling of subgrain texture evolution in polycrystalline copper journal, September 2008

Estimating Critical Stresses Required for Twin Growth in a Magnesium Alloy journal, December 2012

Plastic deformation of zirconium single crystals journal, July 1971

Statistical analyses of deformation twinning in magnesium journal, May 2010

A spectral method solution to crystal elasto-viscoplasticity at finite strains journal, July 2013

Initiation and accommodation of primary twins in high-purity titanium journal, June 2014

Effect of twinning and dynamic recrystallization on the high strain rate rolling process journal, November 2010

Grain neighbour effects on twin transmission in hexagonal close-packed materials journal, December 2016

On the deformation twinning of Mg AZ31B: A three-dimensional synchrotron X-ray diffraction experiment and crystal plasticity finite element model journal, July 2015

Deformation twinning journal, January 1995

Modeling texture, twinning and hardening evolution during deformation of hexagonal materials journal, April 2007

Study of internal lattice strain distributions in stainless steel using a full-field elasto-viscoplastic formulation based on fast Fourier transforms journal, April 2012

Fatigue damage development in pure polycrystalline magnesium under cyclic tension–compression loading journal, September 2011

Twin Nucleation by Slip Transfer across Grain Boundaries in Commercial Purity Titanium journal, November 2009

Observations of the Atomic Structure of Tensile and Compressive Twin Boundaries and Twin–Twin Interactions in Zirconium journal, August 2014

Accommodation around {101} twins in titanium journal, October 1985

Disconnections and other defects associated with twin interfaces journal, October 2016

Interfacial structure of { 1 0 1 ‾ 2 } twin tip in deformed magnesium alloy journal, November 2014

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

A constitutive model of twinning and detwinning for hexagonal close packed polycrystals journal, October 2012

Grain size constraints on twin expansion in hexagonal close packed crystals journal, October 2016

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

A crystal plasticity model for hexagonal close packed (HCP) crystals including twinning and de-twinning mechanisms journal, October 2013

Dilatational viscoplasticity of polycrystalline solids with intergranular cavities journal, August 2011

Slip, twinning, and fracture in hexagonal close-packed metals journal, March 1981

Non-basal slip systems in HCP metals and alloys: source mechanisms journal, December 2001

Influence of temperature and strain rate on slip and twinning behavior of zr journal, October 1995

Mechanical response of zirconium—I. Derivation of a polycrystal constitutive law and finite element analysis journal, September 2001

Structural interpretation of the nucleation and growth of deformation twins in Zr and Ti—II. Tem study of twin morphology and defect reactions during twinning journal, June 1995

Evolution of stress in individual grains and twins in a magnesium alloy aggregate journal, July 2009

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

A model for texture development dominated by deformation twinning: Application to zirconium alloys journal, November 1991

Stochastic Processes of {1012} Deformation Twinning in Hexagonal Close-Packed Polycrystalline Zirconium and Magnesium journal, January 2011

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

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

The Elastic Constants of Anisotropic Materials journal, July 1946

Single-Crystal Elastic Moduli and the hcp → bcc Transformation in Ti, Zr, and Hf journal, July 1964

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

A constitutive model for hcp materials deforming by slip and twinning journal, October 2003

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

Mechanical Twinning is a Correlated Dynamic Process journal, April 2019

A dislocation-based model for twin growth within and across grains journal, February 2018

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

Spatially resolved in situ strain measurements from an interior twinned grain in bulk polycrystalline AZ31 alloy
journal, June 2013

Elastic anisotropy and yield surface estimates of polycrystals
journal, August 2009

A finite element model of deformation twinning in zirconium
journal, January 2008

Strain rate and temperature effects on the selection of primary and secondary slip and twinning systems in HCP Zr
journal, April 2015

Stochastic modeling of twin nucleation in polycrystals: An application in hexagonal close-packed metals
journal, May 2014

Strength and ductility with {10͞11} — {10͞12} double twinning in a magnesium alloy
journal, April 2016

Twinning-Associated Boundaries in Hexagonal Close-Packed Metals
journal, November 2013

The role of strain accommodation during the variant selection of primary twins in magnesium
journal, March 2011

Reorientation and stress relaxation due to twinning: Modeling and experimental characterization for Mg
journal, June 2008

Twinning-induced dynamic recrystallization in a magnesium alloy extruded at 450°C
journal, November 2011

Characterization of basal-prismatic interface of twin in deformed titanium by high-resolution transmission electron microscopy
journal, March 2015

Multi-scale modeling and experimental study of twin inception and propagation in hexagonal close-packed materials using a crystal plasticity finite element approach—Part I: Average behavior
journal, March 2013

Assessment of residual stress fields at deformation twin tips and the surrounding environments
journal, February 2016

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

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

Influence of temperature and plastic relaxation on tensile twinning in a magnesium alloy
journal, October 2013

Toward understanding twin–twin interactions in hcp metals: Utilizing multiscale techniques to characterize deformation mechanisms in magnesium
journal, September 2014

In Situ Characterization of Twin Nucleation in Pure Ti Using 3D-XRD
journal, November 2013

Deformation twinning in h.c.p. metals and alloys
journal, May 1991

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

Direct numerical simulation of deformation twinning in polycrystals
journal, November 2016

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

Plastic relaxation of the internal stress induced by twinning
journal, December 2013

The determination of the elastic field of an ellipsoidal inclusion, and related problems
journal, August 1957

Structural interpretation of the nucleation and growth of deformation twins in Zr and Ti—I. Application of the coincidence site lattice (CSL) theory to twinning problems in h.c.p. structures
journal, June 1995

Effects of texture, temperature and strain on the deformation modes of zirconium
journal, August 2006

Observations on the interaction of twins with grain boundaries in Mo-35 at.% Re alloy
journal, March 1973

Quantitative analysis of deformation twinning in zirconium
journal, March 2009

A phase-field model for incoherent martensitic transformations including plastic accommodation processes in the austenite
journal, October 2011

Experimental Characterization and Crystal Plasticity Modeling of Heterogeneous Deformation in Polycrystalline α-Ti
journal, June 2010

Effect of local stress fields on twin characteristics in HCP metals
journal, September 2016

Strengthening and toughening of magnesium alloy by {10−12} extension twins
journal, January 2012

A probabilistic twin nucleation model for HCP polycrystalline metals
journal, March 2010

Orientation image-based micromechanical modelling of subgrain texture evolution in polycrystalline copper
journal, September 2008

Estimating Critical Stresses Required for Twin Growth in a Magnesium Alloy
journal, December 2012

Plastic deformation of zirconium single crystals
journal, July 1971

Statistical analyses of deformation twinning in magnesium
journal, May 2010

A spectral method solution to crystal elasto-viscoplasticity at finite strains
journal, July 2013

Initiation and accommodation of primary twins in high-purity titanium
journal, June 2014

Effect of twinning and dynamic recrystallization on the high strain rate rolling process
journal, November 2010

Grain neighbour effects on twin transmission in hexagonal close-packed materials
journal, December 2016

On the deformation twinning of Mg AZ31B: A three-dimensional synchrotron X-ray diffraction experiment and crystal plasticity finite element model
journal, July 2015

Deformation twinning
journal, January 1995

Modeling texture, twinning and hardening evolution during deformation of hexagonal materials
journal, April 2007

Study of internal lattice strain distributions in stainless steel using a full-field elasto-viscoplastic formulation based on fast Fourier transforms
journal, April 2012

Fatigue damage development in pure polycrystalline magnesium under cyclic tension–compression loading
journal, September 2011

Twin Nucleation by Slip Transfer across Grain Boundaries in Commercial Purity Titanium
journal, November 2009

Observations of the Atomic Structure of Tensile and Compressive Twin Boundaries and Twin–Twin Interactions in Zirconium
journal, August 2014

Accommodation around {101} twins in titanium
journal, October 1985

Disconnections and other defects associated with twin interfaces
journal, October 2016

Interfacial structure of { $1 0 \overline{1} 2$ } twin tip in deformed magnesium alloy
journal, November 2014

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

A constitutive model of twinning and detwinning for hexagonal close packed polycrystals
journal, October 2012

Grain size constraints on twin expansion in hexagonal close packed crystals
journal, October 2016

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

A crystal plasticity model for hexagonal close packed (HCP) crystals including twinning and de-twinning mechanisms
journal, October 2013

Dilatational viscoplasticity of polycrystalline solids with intergranular cavities
journal, August 2011

Slip, twinning, and fracture in hexagonal close-packed metals
journal, March 1981

Non-basal slip systems in HCP metals and alloys: source mechanisms
journal, December 2001

Influence of temperature and strain rate on slip and twinning behavior of zr
journal, October 1995

Mechanical response of zirconium—I. Derivation of a polycrystal constitutive law and finite element analysis
journal, September 2001

Structural interpretation of the nucleation and growth of deformation twins in Zr and Ti—II. Tem study of twin morphology and defect reactions during twinning
journal, June 1995

Evolution of stress in individual grains and twins in a magnesium alloy aggregate
journal, July 2009

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

A model for texture development dominated by deformation twinning: Application to zirconium alloys
journal, November 1991

Stochastic Processes of {1012} Deformation Twinning in Hexagonal Close-Packed Polycrystalline Zirconium and Magnesium
journal, January 2011

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

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

The Elastic Constants of Anisotropic Materials
journal, July 1946

Single-Crystal Elastic Moduli and the hcp → bcc Transformation in Ti, Zr, and Hf
journal, July 1964

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

A constitutive model for hcp materials deforming by slip and twinning
journal, October 2003

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

Mechanical Twinning is a Correlated Dynamic Process
journal, April 2019

A dislocation-based model for twin growth within and across grains
journal, February 2018