Effect of neighboring grain orientation on strain localization in slip bands in HCP materials

Ahmadikia, Benham; Mariyappan, Arul Kumar; Beyerlein, I. J.

doi:10.1016/j.ijplas.2021.103026

Title: Effect of neighboring grain orientation on strain localization in slip bands in HCP materials

Abstract

Particularly in plastically anisotropic crystals, such as hexagonal close packed (HCP) materials, plastic deformation is realized by slip acting in the small volumes within individual crystals. Here we extend a full field fast Fourier transform (FFT)-based elasto-viscoplastic formulation to simulate the development of a single slip band on either prismatic or basal planes spanning a crystal. Calculations of the strain and stress fields induced locally within the band and parent crystal, and ahead of the band/grain boundary junction in the neighboring crystal are analyzed as the slip band intensifies under increasing applied strain. We report a substantial influence of the crystallographic orientation of the nearest neighboring grain on the rate of slip band localization. Performing the analysis on two materials, CP-Ti and Mg, indicates that the strength of the material affects the rate of localization, with stronger materials tending to localize more easily. A slip band tip stress-based criterion is proposed for identifying the nearest neighbor orientations in which slip band transmission is possible and the likely slip system for which it occurs. This indicator is validated against experimental studies on commercially pure Ti, an Mg–Y alloy, and Ti–6Al–4V. Finally, we show that for low GB misorientations, the slip bandmore »« less

Authors:

Ahmadikia, Benham ^[1];

^[2]; Beyerlein, I. J. ^[1]

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

Publication Date:: Fri May 14 00:00:00 EDT 2021

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

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

OSTI Identifier:: 1784702

Alternate Identifier(s):: OSTI ID: 1815122

Report Number(s):: LA-UR-20-28274
Journal ID: ISSN 0749-6419

Grant/Contract Number:: 89233218CNA000001; 1934641; FWP-06SCPE401

Resource Type:: Accepted Manuscript

Journal Name:: International Journal of Plasticity

Additional Journal Information:: Journal Volume: 144; Journal ID: ISSN 0749-6419

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE; crystal plasticity; microstructures; anisotropic materials; elastic-viscoplastic material; slip transmission

Citation Formats


                    Ahmadikia, Benham, Mariyappan, Arul Kumar, and Beyerlein, I. J. Effect of neighboring grain orientation on strain localization in slip bands in HCP materials.  United States: N. p., 2021. 
Web.  doi:10.1016/j.ijplas.2021.103026.

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                    Ahmadikia, Benham, Mariyappan, Arul Kumar, & Beyerlein, I. J. Effect of neighboring grain orientation on strain localization in slip bands in HCP materials.  United States.  https://doi.org/10.1016/j.ijplas.2021.103026

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                    Ahmadikia, Benham, Mariyappan, Arul Kumar, and Beyerlein, I. J. Fri .  
"Effect of neighboring grain orientation on strain localization in slip bands in HCP materials".  United States.  https://doi.org/10.1016/j.ijplas.2021.103026.  https://www.osti.gov/servlets/purl/1784702.

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@article{osti_1784702,

  title        = {Effect of neighboring grain orientation on strain localization in slip bands in HCP materials},

  author       = {Ahmadikia, Benham and Mariyappan, Arul Kumar and Beyerlein, I. J.},

  abstractNote = {Particularly in plastically anisotropic crystals, such as hexagonal close packed (HCP) materials, plastic deformation is realized by slip acting in the small volumes within individual crystals. Here we extend a full field fast Fourier transform (FFT)-based elasto-viscoplastic formulation to simulate the development of a single slip band on either prismatic or basal planes spanning a crystal. Calculations of the strain and stress fields induced locally within the band and parent crystal, and ahead of the band/grain boundary junction in the neighboring crystal are analyzed as the slip band intensifies under increasing applied strain. We report a substantial influence of the crystallographic orientation of the nearest neighboring grain on the rate of slip band localization. Performing the analysis on two materials, CP-Ti and Mg, indicates that the strength of the material affects the rate of localization, with stronger materials tending to localize more easily. A slip band tip stress-based criterion is proposed for identifying the nearest neighbor orientations in which slip band transmission is possible and the likely slip system for which it occurs. This indicator is validated against experimental studies on commercially pure Ti, an Mg–Y alloy, and Ti–6Al–4V. Finally, we show that for low GB misorientations, the slip band is likely to transmit into another slip band of the same type in the neighbor grain, while for high GB misorientations, it is likely to transmit into one of a different type or to not transmit at all.},

  doi          = {10.1016/j.ijplas.2021.103026},

  journal      = {International Journal of Plasticity},

  number       = ,

  volume       = 144,

  place        = {United States},

  year         = {Fri May 14 00:00:00 EDT 2021},

  month        = {Fri May 14 00:00:00 EDT 2021}

}

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Works referenced in this record:

Simulation of slip band evolution in duplex Ti–6Al–4V
journal, February 2010

Zhang, M.; Bridier, F.; Villechaise, P.
Acta Materialia, Vol. 58, Issue 3
DOI: 10.1016/j.actamat.2009.10.025

Crystal plasticity-based constitutive modelling of irradiated bcc structures
journal, March 2012

Patra, Anirban; McDowell, David L.
Philosophical Magazine, Vol. 92, Issue 7
DOI: 10.1080/14786435.2011.634855

Slip activity of persistent slip bands in polycrystalline nickel
journal, November 2006

Weidner, A.; Beyer, R.; Blochwitz, C.
Materials Science and Engineering: A, Vol. 435-436
DOI: 10.1016/j.msea.2006.07.039

Revealing slip-induced extension twinning behaviors dominated by micro deformation in a magnesium alloy
journal, May 2020

Zhou, Bijin; Wang, Leyun; Jin, Peipeng
International Journal of Plasticity, Vol. 128
DOI: 10.1016/j.ijplas.2020.102669

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

Shen, Z.; Wagoner, R. H.; Clark, W. A. T.
Scripta Metallurgica, Vol. 20, Issue 6
DOI: 10.1016/0036-9748(86)90467-9

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

Strain-Rate Sensitivity, Tension-Compression Asymmetry, r-Ratio, Twinning, and Texture Evolution of a Rolled Magnesium Alloy Mg-1.3Zn-0.4Ca-0.4Mn
journal, June 2020

Vasilev, Evgenii; Ferreri, Nicholas C.; Decker, Ray
Metallurgical and Materials Transactions A, Vol. 51, Issue 8
DOI: 10.1007/s11661-020-05841-x

Plastic deformation behavior of Mg12YZn with 18R long-period stacking ordered structure
journal, February 2010

Hagihara, K.; Yokotani, N.; Umakoshi, Y.
Intermetallics, Vol. 18, Issue 2
DOI: 10.1016/j.intermet.2009.07.014

Texture and strain localization prediction using a N-site polycrystal model
journal, January 2001

Solas, D. E.; Tomé, C. N.
International Journal of Plasticity, Vol. 17, Issue 5
DOI: 10.1016/S0749-6419(00)00030-9

The role of elastic anisotropy, length scale and crystallographic slip in fatigue crack nucleation
journal, May 2013

Sweeney, C. A.; Vorster, W.; Leen, S. B.
Journal of the Mechanics and Physics of Solids, Vol. 61, Issue 5
DOI: 10.1016/j.jmps.2013.01.001

On the experimental characterization of crystal plasticity in polycrystals
journal, September 2003

Tatschl, A.; Kolednik, O.
Materials Science and Engineering: A, Vol. 356, Issue 1-2
DOI: 10.1016/S0921-5093(03)00095-9

Incipient slip and long range plastic strain localization in microtextured Ti-6Al-4V titanium
journal, August 2016

Echlin, McLean P.; Stinville, Jean Charles; Miller, Victoria M.
Acta Materialia, Vol. 114
DOI: 10.1016/j.actamat.2016.04.057

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

Kumar, Mariyappan Arul; Beyerlein, Irene J.
Journal of Materials Research, Vol. 35, Issue 3
DOI: 10.1557/jmr.2020.14

Quantitative investigation of micro slip and localization in polycrystalline materials under uniaxial tension
journal, September 2018

Zhang, Zhen; Lunt, David; Abdolvand, Hamidreza
International Journal of Plasticity, Vol. 108
DOI: 10.1016/j.ijplas.2018.04.014

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

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

Luster, J.; Morris, M. A.
Metallurgical and Materials Transactions A, Vol. 26, Issue 7
DOI: 10.1007/BF02670762

Plastic deformation of quench-hardened aluminum single crystals
journal, February 1969

Mori, T.; Meshii, M.
Acta Metallurgica, Vol. 17, Issue 2
DOI: 10.1016/0001-6160(69)90137-0

Crystal plasticity investigation of the microstructural factors influencing dislocation channeling in a model irradiated bcc material
journal, May 2016

Patra, Anirban; McDowell, David L.
Acta Materialia, Vol. 110
DOI: 10.1016/j.actamat.2016.03.041

Correlation between cleared channels and surface slip steps in neutron irradiated copper crystals
journal, May 1972

Sharp, J. V.
Radiation Effects, Vol. 14, Issue 1-2
DOI: 10.1080/00337577208230474

Slip transfer across low-angle grain boundaries of deformed Titanium
journal, December 1995

Kehagias, Th.; Komninou, Ph.; Dimitrakopulos, G. P.
Scripta Metallurgica et Materialia, Vol. 33, Issue 12
DOI: 10.1016/0956-716X(95)00351-U

Direct measurement of critical resolved shear stress of prismatic and basal slip in polycrystalline Ti using high energy X-ray diffraction microscopy
journal, June 2017

Wang, L.; Zheng, Z.; Phukan, H.
Acta Materialia, Vol. 132
DOI: 10.1016/j.actamat.2017.05.015

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

Guo, Y.; Britton, T. B.; Wilkinson, A. J.
Acta Materialia, Vol. 76
DOI: 10.1016/j.actamat.2014.05.015

Crystal plasticity modeling of slip activity in Ti–6Al–4V under high cycle fatigue loading
journal, June 2009

Bridier, Florent; McDowell, David L.; Villechaise, Patrick
International Journal of Plasticity, Vol. 25, Issue 6
DOI: 10.1016/j.ijplas.2008.08.004

Evidence of void nucleation and growth on planar slip bands in a Nb-Cr-Ti alloy
journal, March 1999

Chan, Kwai S.; Davidson, David L.
Metallurgical and Materials Transactions A, Vol. 30, Issue 3
DOI: 10.1007/s11661-999-0049-1

Deformation of quench-hardened gold single crystals
journal, October 1974

Bapna, M. S.; Meshii, M.
Materials Science and Engineering, Vol. 16, Issue 1-2
DOI: 10.1016/0025-5416(74)90152-9

Static versus propagative plastic strain localisations
journal, November 1993

Bréchet, Y. J. M.; Canova, G. R.; Kubin, L. P.
Scripta Metallurgica et Materialia, Vol. 29, Issue 9
DOI: 10.1016/0956-716X(93)90103-Y

Phenomenological and microstructural analysis of room temperature creep in titanium alloys
journal, April 2000

Neeraj, T.; Hou, D. -H.; Daehn, G. S.
Acta Materialia, Vol. 48, Issue 6
DOI: 10.1016/S1359-6454(99)00426-7

Numerical implementation of non-local polycrystal plasticity using fast Fourier transforms
journal, December 2016

Lebensohn, Ricardo A.; Needleman, Alan
Journal of the Mechanics and Physics of Solids, Vol. 97
DOI: 10.1016/j.jmps.2016.03.023

Lengthscale-dependent, elastically anisotropic, physically-based hcp crystal plasticity: Application to cold-dwell fatigue in Ti alloys
journal, June 2007

Dunne, F. P. E.; Rugg, D.; Walker, A.
International Journal of Plasticity, Vol. 23, Issue 6
DOI: 10.1016/j.ijplas.2006.10.013

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

The observation of slip channels in quenched gold
journal, January 1968

Bapna, M. S.; Mori, T.; Meshii, M.
The Philosophical Magazine: A Journal of Theoretical Experimental and Applied Physics, Vol. 17, Issue 145
DOI: 10.1080/14786436808218191

Computational strain gradient crystal plasticity
journal, January 2014

Niordson, Christian F.; Kysar, Jeffrey W.
Journal of the Mechanics and Physics of Solids, Vol. 62
DOI: 10.1016/j.jmps.2013.08.014

Gradient-dependent deformation of two-phase single crystals
journal, November 2000

Busso, E.
Journal of the Mechanics and Physics of Solids, Vol. 48, Issue 11
DOI: 10.1016/S0022-5096(00)00006-5

A quantitative study of stress fields ahead of a slip band blocked by a grain boundary in unalloyed magnesium
journal, February 2020

Andani, Mohsen Taheri; Lakshmanan, Aaditya; Karamooz-Ravari, Mohammadreza
Scientific Reports, Vol. 10, Issue 1
DOI: 10.1038/s41598-020-59684-y

Modeling slip, kink and shear banding in classical and generalized single crystal plasticity
journal, May 1998

Forest, S.
Acta Materialia, Vol. 46, Issue 9
DOI: 10.1016/S1359-6454(98)00012-3

Cyclic deformation behavior and dislocation structure of Ti-2 at. Pct Al single crystals oriented for double prism slip
journal, September 2004

Xiao, Lin; Umakoshi, Yukichi
Metallurgical and Materials Transactions A, Vol. 35, Issue 9
DOI: 10.1007/s11661-004-0232-3

Multiscale modeling of ice deformation behavior
journal, April 2014

Montagnat, M.; Castelnau, O.; Bons, P. D.
Journal of Structural Geology, Vol. 61
DOI: 10.1016/j.jsg.2013.05.002

Non-linear composite voxels for FFT-based explicit modeling of slip bands: Application to basal channeling in irradiated Zr alloys
journal, August 2020

Marano, Aldo; Gélébart, Lionel
International Journal of Solids and Structures, Vol. 198
DOI: 10.1016/j.ijsolstr.2020.04.027

Spectral methods for full-field micromechanical modelling of polycrystalline materials
journal, February 2020

Lebensohn, Ricardo A.; Rollett, Anthony D.
Computational Materials Science, Vol. 173
DOI: 10.1016/j.commatsci.2019.109336

Formation of adiabatic shear band in metal matrix composites
journal, November 2004

Dai, L. H.; Liu, L. F.; Bai, Y. L.
International Journal of Solids and Structures, Vol. 41, Issue 22-23
DOI: 10.1016/j.ijsolstr.2004.05.023

Cyclic deformation behaviour and saturation bundle structure in Ti–5 at.% Al single crystals deforming by single prism slip
journal, October 2003

Xiao, L.; Umakoshi, Y.
Philosophical Magazine, Vol. 83, Issue 30
DOI: 10.1080/14786430310001603454

A polycrystal plasticity model of strain localization in irradiated iron
journal, February 2013

Barton, Nathan R.; Arsenlis, Athanasios; Marian, Jaime
Journal of the Mechanics and Physics of Solids, Vol. 61, Issue 2
DOI: 10.1016/j.jmps.2012.10.009

Atomic force microscopy of the intense slip localization causing fatigue crack initiation in polycrystalline brass
journal, December 2004

Wejdemann, C.; Pedersen, O. B.
Materials Science and Engineering: A, Vol. 387-389
DOI: 10.1016/j.msea.2003.12.095

A higher order elasto-viscoplastic model using fast Fourier transforms: Effects of lattice curvatures on mechanical response of nanocrystalline metals
journal, August 2016

Upadhyay, M. V.; Capolungo, L.; Taupin, V.
International Journal of Plasticity, Vol. 83
DOI: 10.1016/j.ijplas.2016.04.007

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

Arul Kumar, M.; Beyerlein, I. J.; Lebensohn, R. A.
Materials Science and Engineering: A, Vol. 706
DOI: 10.1016/j.msea.2017.08.084

Continuum modeling of localized deformation in irradiated bcc materials
journal, January 2013

Patra, Anirban; McDowell, David L.
Journal of Nuclear Materials, Vol. 432, Issue 1-3
DOI: 10.1016/j.jnucmat.2012.08.021

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

Lee, T. C.; Robertson, I. M.; Birnbaum, H. K.
Scripta Metallurgica, Vol. 23, Issue 5
DOI: 10.1016/0036-9748(89)90534-6

A study of microstructure-driven strain localizations in two-phase polycrystalline HCP/BCC composites using a multi-scale model
journal, November 2015

Ardeljan, Milan; Knezevic, Marko; Nizolek, Thomas
International Journal of Plasticity, Vol. 74
DOI: 10.1016/j.ijplas.2015.06.003

A study of dislocation transmission through a grain boundary in hcp Ti–6Al using micro-cantilevers
journal, January 2016

Ding, Rengen; Gong, Jicheng; Wilkinson, Angus J.
Acta Materialia, Vol. 103
DOI: 10.1016/j.actamat.2015.10.023

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

Modeling the evolution of crystallographic dislocation density in crystal plasticity
journal, September 2002

Arsenlis, Athanasios; Parks, David M.
Journal of the Mechanics and Physics of Solids, Vol. 50, Issue 9
DOI: 10.1016/S0022-5096(01)00134-X

Hydrogen-induced strain localization and failure of austenitic stainless steels at high hydrogen concentrations
journal, June 1991

Ulmer, D. G.; Altstetter, C. J.
Acta Metallurgica et Materialia, Vol. 39, Issue 6
DOI: 10.1016/0956-7151(91)90211-I

Influence of microstructure variability on short crack behavior through postulated micromechanical short crack driving force metrics
journal, April 2015

Rovinelli, Andrea; Lebensohn, Ricardo A.; Sangid, Michael D.
Engineering Fracture Mechanics, Vol. 138
DOI: 10.1016/j.engfracmech.2015.03.001

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

The analysis of shear banding with a dislocation based gradient plasticity model
journal, November 2000

Sluys, L. J.; Estrin, Y.
International Journal of Solids and Structures, Vol. 37, Issue 46-47
DOI: 10.1016/S0020-7683(99)00331-5

Strain localization and failure in irradiated zircaloy with crystal plasticity
journal, August 2015

Erinosho, T. O.; Dunne, F. P. E.
International Journal of Plasticity, Vol. 71
DOI: 10.1016/j.ijplas.2015.05.008

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

Deformation mechanism of ω-enriched Ti–Nb-based gum metal: Dislocation channeling and deformation induced ω–β transformation
journal, November 2015

Lai, M. J.; Tasan, C. C.; Raabe, D.
Acta Materialia, Vol. 100
DOI: 10.1016/j.actamat.2015.08.047

Dislocation groups, multipoles, and friction stresses in α-CuZn alloys
journal, September 1988

Olfe, J.; Neuhäuser, H.
Physica Status Solidi (a), Vol. 109, Issue 1
DOI: 10.1002/pssa.2211090115

The Role of Slip Transmission on Plastic Strain accumulationacross Grain Boundaries
journal, January 2012

Abuzaid, Wael; Sangid, Michael D.; Sehitoglu, Huseyin
Procedia IUTAM, Vol. 4
DOI: 10.1016/j.piutam.2012.05.019

Polycrystal plasticity modeling for load reversals in commercially pure titanium
journal, February 2020

Wang, Jiaxiang; Zecevic, Milovan; Knezevic, Marko
International Journal of Plasticity, Vol. 125
DOI: 10.1016/j.ijplas.2019.09.013

On the spatial arrangement of lattice orientations in hot-rolled multiphase titanium
journal, August 2001

Barton, N. R.; Dawson, P. R.
Modelling and Simulation in Materials Science and Engineering, Vol. 9, Issue 5
DOI: 10.1088/0965-0393/9/5/308

Evaluation of finite element based analysis of 3D multicrystalline aggregates plasticity
journal, April 2005

Diard, O.; Leclercq, S.; Rousselier, G.
International Journal of Plasticity, Vol. 21, Issue 4
DOI: 10.1016/j.ijplas.2004.05.017

Efficient fast Fourier transform-based numerical implementation to simulate large strain behavior of polycrystalline materials
journal, November 2017

Nagra, Jaspreet S.; Brahme, Abhijit; Lebensohn, Ricardo A.
International Journal of Plasticity, Vol. 98
DOI: 10.1016/j.ijplas.2017.07.001

Work hardening and softening in a dislocation glide plane with precipitates
journal, August 1978

Melander, Arne
Materials Science and Engineering, Vol. 34, Issue 3
DOI: 10.1016/0025-5416(78)90055-1

Stress fields and geometrically necessary dislocation density distributions near the head of a blocked slip band
journal, September 2012

Benjamin Britton, T.; Wilkinson, Angus J.
Acta Materialia, Vol. 60, Issue 16
DOI: 10.1016/j.actamat.2012.07.004

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

Dislocation density distribution at slip band-grain boundary intersections
journal, January 2020

Guo, Yi; Collins, David M.; Tarleton, Edmund
Acta Materialia, Vol. 182
DOI: 10.1016/j.actamat.2019.10.031

Investigation of hot spot characteristics in energetic crystals
journal, February 2002

Armstrong, R. W.; Ammon, H. L.; Elban, W. L.
Thermochimica Acta, Vol. 384, Issue 1-2
DOI: 10.1016/S0040-6031(01)00786-9

Elastic anisotropy of crystals
journal, September 2016

Kube, Christopher M.
AIP Advances, Vol. 6, Issue 9
DOI: 10.1063/1.4962996

Intragranular localization induced by softening crystal plasticity: Analysis of slip and kink bands localization modes from high resolution FFT-simulations results
journal, August 2019

Marano, Aldo; Gélébart, Lionel; Forest, Samuel
Acta Materialia, Vol. 175
DOI: 10.1016/j.actamat.2019.06.010

Deformation behavior of HCP Ti-Al alloy single crystals
journal, March 2002

Williams, J. C.; Baggerly, R. G.; Paton, N. E.
Metallurgical and Materials Transactions A, Vol. 33, Issue 3
DOI: 10.1007/s11661-002-0153-y

Role of twinning on the omega-phase transformation and stability in zirconium
journal, February 2020

Arul Kumar, M.; Hilairet, N.; McCabe, R. J.
Acta Materialia, Vol. 185
DOI: 10.1016/j.actamat.2019.12.006

Dependence of intergranular fatigue cracking on the interactions of persistent slip bands with grain boundaries
journal, January 2003

Zhang, Z. F.; Wang, Z. G.
Acta Materialia, Vol. 51, Issue 2
DOI: 10.1016/S1359-6454(02)00399-3

Strain softening, slip localization and propagation: From simulations to continuum modelling
journal, November 1996

Bréchet, Y.; Canova, G.; Kubin, L. P.
Acta Materialia, Vol. 44, Issue 11
DOI: 10.1016/1359-6454(96)00115-2

TEM observations and finite element modelling of channel deformation in pre-irradiated austenitic stainless steels – Interactions with free surfaces and grain boundaries
journal, November 2010

Sauzay, Maxime; Bavard, Karine; Karlsen, Wade
Journal of Nuclear Materials, Vol. 406, Issue 1
DOI: 10.1016/j.jnucmat.2010.01.027

A size-dependent tensorial plasticity model for FCC single crystal with irradiation
journal, February 2015

Xiao, Xiazi; Song, Dingkun; Xue, Jianming
International Journal of Plasticity, Vol. 65
DOI: 10.1016/j.ijplas.2014.09.004

Deformation behavior of CP-titanium: Experiment and crystal plasticity modeling
journal, May 2018

Wronski, M.; Arul Kumar, M.; Capolungo, L.
Materials Science and Engineering: A, Vol. 724
DOI: 10.1016/j.msea.2018.03.017

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

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

Manipulating deformation mechanisms with Y alloying of Mg
journal, June 2021

Wang, Jiaxiang; Wang, Xin; Yu, Kehang
Materials Science and Engineering: A, Vol. 817
DOI: 10.1016/j.msea.2021.141373

Analysis of the different slip systems activated by tension in a α/β titanium alloy in relation with local crystallographic orientation
journal, February 2005

Bridier, F.; Villechaise, P.; Mendez, J.
Acta Materialia, Vol. 53, Issue 3
DOI: 10.1016/j.actamat.2004.09.040

TEM in situ deformation study of the interaction of lattice dislocations with grain boundaries in metals
journal, July 1990

Lee, T. C.; Robertson, I. M.; Birnbaum, H. K.
Philosophical Magazine A, Vol. 62, Issue 1
DOI: 10.1080/01418619008244340

Grain boundaries and interfaces in slip transfer
journal, August 2014

Bieler, T. R.; Eisenlohr, P.; Zhang, C.
Current Opinion in Solid State and Materials Science, Vol. 18, Issue 4
DOI: 10.1016/j.cossms.2014.05.003

The deformation of magnesium single crystals
journal, September 1965

Hirsch, P. B.; Lally, J. S.
Philosophical Magazine, Vol. 12, Issue 117
DOI: 10.1080/14786436508218903

Characteristics of microscopic strain localization in irradiated 316 stainless steels and pure vanadium
journal, March 2006

Byun, T. S.; Hashimoto, N.; Farrell, K.
Journal of Nuclear Materials, Vol. 349, Issue 3
DOI: 10.1016/j.jnucmat.2005.10.011

Microstructural interpretation of work softening in aluminum
journal, August 1976

Alden, T. H.
Metallurgical Transactions A, Vol. 7, Issue 8
DOI: 10.1007/BF02656587

Multiple slip in bicrystal deformation
journal, June 1957

Livingston, J. D.; Chalmers, B.
Acta Metallurgica, Vol. 5, Issue 6
DOI: 10.1016/0001-6160(57)90044-5

Slip transfer and plastic strain accumulation across grain boundaries in Hastelloy X
journal, June 2012

Abuzaid, Wael Z.; Sangid, Michael D.; Carroll, Jay D.
Journal of the Mechanics and Physics of Solids, Vol. 60, Issue 6
DOI: 10.1016/j.jmps.2012.02.001

Local strain hardening and nonuniformity of plastic deformation
journal, December 1986

Estrin, Y.; Kubin, L. P.
Acta Metallurgica, Vol. 34, Issue 12
DOI: 10.1016/0001-6160(86)90148-3

Intergranular stress distributions in polycrystalline aggregates of irradiated stainless steel
journal, August 2016

Hure, J.; El Shawish, S.; Cizelj, L.
Journal of Nuclear Materials, Vol. 476
DOI: 10.1016/j.jnucmat.2016.04.017

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

Finite element simulation of PSB macroband nucleation and propagation in single crystal nickel cycled at low plastic strain amplitudes
journal, July 2006

Zhou, D.; Moosbrugger, J. C.; Morrison, D. J.
International Journal of Plasticity, Vol. 22, Issue 7
DOI: 10.1016/j.ijplas.2005.09.001

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Similar Records

Title: Effect of neighboring grain orientation on strain localization in slip bands in HCP materials

Abstract

Citation Formats

Simulation of slip band evolution in duplex Ti–6Al–4V journal, February 2010

Crystal plasticity-based constitutive modelling of irradiated bcc structures journal, March 2012

Slip activity of persistent slip bands in polycrystalline nickel journal, November 2006

Revealing slip-induced extension twinning behaviors dominated by micro deformation in a magnesium alloy journal, May 2020

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

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

Strain-Rate Sensitivity, Tension-Compression Asymmetry, r-Ratio, Twinning, and Texture Evolution of a Rolled Magnesium Alloy Mg-1.3Zn-0.4Ca-0.4Mn journal, June 2020

Plastic deformation behavior of Mg12YZn with 18R long-period stacking ordered structure journal, February 2010

Texture and strain localization prediction using a N-site polycrystal model journal, January 2001

The role of elastic anisotropy, length scale and crystallographic slip in fatigue crack nucleation journal, May 2013

On the experimental characterization of crystal plasticity in polycrystals journal, September 2003

Incipient slip and long range plastic strain localization in microtextured Ti-6Al-4V titanium journal, August 2016

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

Quantitative investigation of micro slip and localization in polycrystalline materials under uniaxial tension journal, September 2018

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

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

Plastic deformation of quench-hardened aluminum single crystals journal, February 1969

Crystal plasticity investigation of the microstructural factors influencing dislocation channeling in a model irradiated bcc material journal, May 2016

Correlation between cleared channels and surface slip steps in neutron irradiated copper crystals journal, May 1972

Slip transfer across low-angle grain boundaries of deformed Titanium journal, December 1995

Direct measurement of critical resolved shear stress of prismatic and basal slip in polycrystalline Ti using high energy X-ray diffraction microscopy journal, June 2017

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

Crystal plasticity modeling of slip activity in Ti–6Al–4V under high cycle fatigue loading journal, June 2009

Evidence of void nucleation and growth on planar slip bands in a Nb-Cr-Ti alloy journal, March 1999

Deformation of quench-hardened gold single crystals journal, October 1974

Static versus propagative plastic strain localisations journal, November 1993

Phenomenological and microstructural analysis of room temperature creep in titanium alloys journal, April 2000

Numerical implementation of non-local polycrystal plasticity using fast Fourier transforms journal, December 2016

Lengthscale-dependent, elastically anisotropic, physically-based hcp crystal plasticity: Application to cold-dwell fatigue in Ti alloys journal, June 2007

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

The observation of slip channels in quenched gold journal, January 1968

Computational strain gradient crystal plasticity journal, January 2014

Gradient-dependent deformation of two-phase single crystals journal, November 2000

A quantitative study of stress fields ahead of a slip band blocked by a grain boundary in unalloyed magnesium journal, February 2020

Modeling slip, kink and shear banding in classical and generalized single crystal plasticity journal, May 1998

Cyclic deformation behavior and dislocation structure of Ti-2 at. Pct Al single crystals oriented for double prism slip journal, September 2004

Multiscale modeling of ice deformation behavior journal, April 2014

Non-linear composite voxels for FFT-based explicit modeling of slip bands: Application to basal channeling in irradiated Zr alloys journal, August 2020

Spectral methods for full-field micromechanical modelling of polycrystalline materials journal, February 2020

Formation of adiabatic shear band in metal matrix composites journal, November 2004

Cyclic deformation behaviour and saturation bundle structure in Ti–5 at.% Al single crystals deforming by single prism slip journal, October 2003

A polycrystal plasticity model of strain localization in irradiated iron journal, February 2013

Atomic force microscopy of the intense slip localization causing fatigue crack initiation in polycrystalline brass journal, December 2004

A higher order elasto-viscoplastic model using fast Fourier transforms: Effects of lattice curvatures on mechanical response of nanocrystalline metals journal, August 2016

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

Continuum modeling of localized deformation in irradiated bcc materials journal, January 2013

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

A study of microstructure-driven strain localizations in two-phase polycrystalline HCP/BCC composites using a multi-scale model journal, November 2015

A study of dislocation transmission through a grain boundary in hcp Ti–6Al using micro-cantilevers journal, January 2016

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

Modeling the evolution of crystallographic dislocation density in crystal plasticity journal, September 2002

Hydrogen-induced strain localization and failure of austenitic stainless steels at high hydrogen concentrations journal, June 1991

Influence of microstructure variability on short crack behavior through postulated micromechanical short crack driving force metrics journal, April 2015

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

The analysis of shear banding with a dislocation based gradient plasticity model journal, November 2000

Strain localization and failure in irradiated zircaloy with crystal plasticity journal, August 2015

Plastic deformation of zirconium single crystals journal, July 1971

Deformation mechanism of ω-enriched Ti–Nb-based gum metal: Dislocation channeling and deformation induced ω–β transformation journal, November 2015

Dislocation groups, multipoles, and friction stresses in α-CuZn alloys journal, September 1988

The Role of Slip Transmission on Plastic Strain accumulationacross Grain Boundaries journal, January 2012

Polycrystal plasticity modeling for load reversals in commercially pure titanium journal, February 2020

On the spatial arrangement of lattice orientations in hot-rolled multiphase titanium journal, August 2001

Evaluation of finite element based analysis of 3D multicrystalline aggregates plasticity journal, April 2005

Efficient fast Fourier transform-based numerical implementation to simulate large strain behavior of polycrystalline materials journal, November 2017

Work hardening and softening in a dislocation glide plane with precipitates journal, August 1978

Stress fields and geometrically necessary dislocation density distributions near the head of a blocked slip band journal, September 2012

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

Dislocation density distribution at slip band-grain boundary intersections journal, January 2020

Investigation of hot spot characteristics in energetic crystals journal, February 2002

Elastic anisotropy of crystals journal, September 2016

Intragranular localization induced by softening crystal plasticity: Analysis of slip and kink bands localization modes from high resolution FFT-simulations results journal, August 2019

Deformation behavior of HCP Ti-Al alloy single crystals journal, March 2002

Role of twinning on the omega-phase transformation and stability in zirconium journal, February 2020

Dependence of intergranular fatigue cracking on the interactions of persistent slip bands with grain boundaries journal, January 2003

Strain softening, slip localization and propagation: From simulations to continuum modelling journal, November 1996

TEM observations and finite element modelling of channel deformation in pre-irradiated austenitic stainless steels – Interactions with free surfaces and grain boundaries journal, November 2010

A size-dependent tensorial plasticity model for FCC single crystal with irradiation journal, February 2015

Simulation of slip band evolution in duplex Ti–6Al–4V
journal, February 2010

Crystal plasticity-based constitutive modelling of irradiated bcc structures
journal, March 2012

Slip activity of persistent slip bands in polycrystalline nickel
journal, November 2006

Revealing slip-induced extension twinning behaviors dominated by micro deformation in a magnesium alloy
journal, May 2020

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

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

Strain-Rate Sensitivity, Tension-Compression Asymmetry, r-Ratio, Twinning, and Texture Evolution of a Rolled Magnesium Alloy Mg-1.3Zn-0.4Ca-0.4Mn
journal, June 2020

Plastic deformation behavior of Mg12YZn with 18R long-period stacking ordered structure
journal, February 2010

Texture and strain localization prediction using a N-site polycrystal model
journal, January 2001

The role of elastic anisotropy, length scale and crystallographic slip in fatigue crack nucleation
journal, May 2013

On the experimental characterization of crystal plasticity in polycrystals
journal, September 2003

Incipient slip and long range plastic strain localization in microtextured Ti-6Al-4V titanium
journal, August 2016

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

Quantitative investigation of micro slip and localization in polycrystalline materials under uniaxial tension
journal, September 2018

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

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

Plastic deformation of quench-hardened aluminum single crystals
journal, February 1969

Crystal plasticity investigation of the microstructural factors influencing dislocation channeling in a model irradiated bcc material
journal, May 2016

Correlation between cleared channels and surface slip steps in neutron irradiated copper crystals
journal, May 1972

Slip transfer across low-angle grain boundaries of deformed Titanium
journal, December 1995

Direct measurement of critical resolved shear stress of prismatic and basal slip in polycrystalline Ti using high energy X-ray diffraction microscopy
journal, June 2017

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

Crystal plasticity modeling of slip activity in Ti–6Al–4V under high cycle fatigue loading
journal, June 2009

Evidence of void nucleation and growth on planar slip bands in a Nb-Cr-Ti alloy
journal, March 1999

Deformation of quench-hardened gold single crystals
journal, October 1974

Static versus propagative plastic strain localisations
journal, November 1993

Phenomenological and microstructural analysis of room temperature creep in titanium alloys
journal, April 2000

Numerical implementation of non-local polycrystal plasticity using fast Fourier transforms
journal, December 2016

Lengthscale-dependent, elastically anisotropic, physically-based hcp crystal plasticity: Application to cold-dwell fatigue in Ti alloys
journal, June 2007

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

The observation of slip channels in quenched gold
journal, January 1968

Computational strain gradient crystal plasticity
journal, January 2014

Gradient-dependent deformation of two-phase single crystals
journal, November 2000

A quantitative study of stress fields ahead of a slip band blocked by a grain boundary in unalloyed magnesium
journal, February 2020

Modeling slip, kink and shear banding in classical and generalized single crystal plasticity
journal, May 1998

Cyclic deformation behavior and dislocation structure of Ti-2 at. Pct Al single crystals oriented for double prism slip
journal, September 2004

Multiscale modeling of ice deformation behavior
journal, April 2014

Non-linear composite voxels for FFT-based explicit modeling of slip bands: Application to basal channeling in irradiated Zr alloys
journal, August 2020

Spectral methods for full-field micromechanical modelling of polycrystalline materials
journal, February 2020

Formation of adiabatic shear band in metal matrix composites
journal, November 2004

Cyclic deformation behaviour and saturation bundle structure in Ti–5 at.% Al single crystals deforming by single prism slip
journal, October 2003

A polycrystal plasticity model of strain localization in irradiated iron
journal, February 2013

Atomic force microscopy of the intense slip localization causing fatigue crack initiation in polycrystalline brass
journal, December 2004

A higher order elasto-viscoplastic model using fast Fourier transforms: Effects of lattice curvatures on mechanical response of nanocrystalline metals
journal, August 2016

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

Continuum modeling of localized deformation in irradiated bcc materials
journal, January 2013

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

A study of microstructure-driven strain localizations in two-phase polycrystalline HCP/BCC composites using a multi-scale model
journal, November 2015

A study of dislocation transmission through a grain boundary in hcp Ti–6Al using micro-cantilevers
journal, January 2016

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

Modeling the evolution of crystallographic dislocation density in crystal plasticity
journal, September 2002

Hydrogen-induced strain localization and failure of austenitic stainless steels at high hydrogen concentrations
journal, June 1991

Influence of microstructure variability on short crack behavior through postulated micromechanical short crack driving force metrics
journal, April 2015

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

The analysis of shear banding with a dislocation based gradient plasticity model
journal, November 2000

Strain localization and failure in irradiated zircaloy with crystal plasticity
journal, August 2015

Plastic deformation of zirconium single crystals
journal, July 1971

Deformation mechanism of ω-enriched Ti–Nb-based gum metal: Dislocation channeling and deformation induced ω–β transformation
journal, November 2015

Dislocation groups, multipoles, and friction stresses in α-CuZn alloys
journal, September 1988

The Role of Slip Transmission on Plastic Strain accumulationacross Grain Boundaries
journal, January 2012

Polycrystal plasticity modeling for load reversals in commercially pure titanium
journal, February 2020

On the spatial arrangement of lattice orientations in hot-rolled multiphase titanium
journal, August 2001

Evaluation of finite element based analysis of 3D multicrystalline aggregates plasticity
journal, April 2005

Efficient fast Fourier transform-based numerical implementation to simulate large strain behavior of polycrystalline materials
journal, November 2017

Work hardening and softening in a dislocation glide plane with precipitates
journal, August 1978

Stress fields and geometrically necessary dislocation density distributions near the head of a blocked slip band
journal, September 2012

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

Dislocation density distribution at slip band-grain boundary intersections
journal, January 2020

Investigation of hot spot characteristics in energetic crystals
journal, February 2002

Elastic anisotropy of crystals
journal, September 2016

Intragranular localization induced by softening crystal plasticity: Analysis of slip and kink bands localization modes from high resolution FFT-simulations results
journal, August 2019

Deformation behavior of HCP Ti-Al alloy single crystals
journal, March 2002

Role of twinning on the omega-phase transformation and stability in zirconium
journal, February 2020

Dependence of intergranular fatigue cracking on the interactions of persistent slip bands with grain boundaries
journal, January 2003

Strain softening, slip localization and propagation: From simulations to continuum modelling
journal, November 1996

TEM observations and finite element modelling of channel deformation in pre-irradiated austenitic stainless steels – Interactions with free surfaces and grain boundaries
journal, November 2010

A size-dependent tensorial plasticity model for FCC single crystal with irradiation
journal, February 2015

Deformation behavior of CP-titanium: Experiment and crystal plasticity modeling
journal, May 2018

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

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