Effect of local stress fields on twin characteristics in HCP metals
Abstract
Here we study the effect of nearest neighboring grains on the propensity for {1012} twin growth in Mg and Zr. Twin lamellae lying within one grain flanked by two neighboring grains with several orientations are considered. The fields of resolved shear stress on the twin system are calculated in the multicrystal using a three-dimensional full-field crystal plasticity Fast Fourier Transform approach. The calculations were carried out for Mg and Zr using slip threshold stresses corresponding to 300K and 76K, respectively, where twin activity is important. We show that the neighboring grain constraint tends to oppose further growth and that the critical applied stress needed to overcome this resistance depends on neighboring grain orientation, more strongly in Zr than in Mg. We also present results for a pair of adjacent and parallel twins at various spacings. It is found that their paired interaction increases the resistive forces for twin growth above that for an isolated twin. The critical spacing above which this enhanced resistance is removed is smaller for Zr than Mg. Our analysis reveals that these two disparate responses of Zr and Mg are both a consequence of the fact that Zr is elastically and plastically more anisotropic than Mg.more »
- Authors:
-
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Materials Science and Technology Division
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Materials Science and Technology Divisio
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC). Basic Energy Sciences (BES) (SC-22); USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1304731
- Alternate Identifier(s):
- OSTI ID: 1351012
- Report Number(s):
- LA-UR-16-24148
Journal ID: ISSN 1359-6454
- Grant/Contract Number:
- AC52-06NA25396; FWP-06SCPE401
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Acta Materialia
- Additional Journal Information:
- Journal Volume: 116; Journal Issue: C; Journal ID: ISSN 1359-6454
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE
Citation Formats
Arul Kumar, M., Beyerlein, Irene Jane, and Tomé, Carlos N. Effect of local stress fields on twin characteristics in HCP metals. United States: N. p., 2016.
Web. doi:10.1016/j.actamat.2016.06.042.
Arul Kumar, M., Beyerlein, Irene Jane, & Tomé, Carlos N. Effect of local stress fields on twin characteristics in HCP metals. United States. https://doi.org/10.1016/j.actamat.2016.06.042
Arul Kumar, M., Beyerlein, Irene Jane, and Tomé, Carlos N. Thu .
"Effect of local stress fields on twin characteristics in HCP metals". United States. https://doi.org/10.1016/j.actamat.2016.06.042. https://www.osti.gov/servlets/purl/1304731.
@article{osti_1304731,
title = {Effect of local stress fields on twin characteristics in HCP metals},
author = {Arul Kumar, M. and Beyerlein, Irene Jane and Tomé, Carlos N.},
abstractNote = {Here we study the effect of nearest neighboring grains on the propensity for {1012} twin growth in Mg and Zr. Twin lamellae lying within one grain flanked by two neighboring grains with several orientations are considered. The fields of resolved shear stress on the twin system are calculated in the multicrystal using a three-dimensional full-field crystal plasticity Fast Fourier Transform approach. The calculations were carried out for Mg and Zr using slip threshold stresses corresponding to 300K and 76K, respectively, where twin activity is important. We show that the neighboring grain constraint tends to oppose further growth and that the critical applied stress needed to overcome this resistance depends on neighboring grain orientation, more strongly in Zr than in Mg. We also present results for a pair of adjacent and parallel twins at various spacings. It is found that their paired interaction increases the resistive forces for twin growth above that for an isolated twin. The critical spacing above which this enhanced resistance is removed is smaller for Zr than Mg. Our analysis reveals that these two disparate responses of Zr and Mg are both a consequence of the fact that Zr is elastically and plastically more anisotropic than Mg. Additional calculations carried out on Ti support this conclusion. Finally, these findings can help explain why, for the same grain size, more twins per grain form in Zr than in Mg, twins in Zr tend to be thinner than those in Mg, and the relationship between the thickness of the twin and its Schmid factor in Zr is not as strong as in Mg.},
doi = {10.1016/j.actamat.2016.06.042},
journal = {Acta Materialia},
number = C,
volume = 116,
place = {United States},
year = {2016},
month = {9}
}
Web of Science
Works referenced in this record:
Plastic deformation of zirconium single crystals
journal, July 1971
- Akhtar, A.; Teghtsoonian, A.
- Acta Metallurgica, Vol. 19, Issue 7
The crystallography and deformation modes of hexagonal close-packed metals
journal, January 1967
- Partridge, P. G.
- International Materials Reviews, Vol. 12, Issue 1
Slip, twinning, and fracture in hexagonal close-packed metals
journal, March 1981
- Yoo, M. H.
- Metallurgical Transactions A, Vol. 12, Issue 3
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
Role of twinning in the hardening response of zirconium during temperature reloads
journal, June 2006
- Kaschner, G. C.; Tomé, C. N.; Beyerlein, I. J.
- Acta Materialia, Vol. 54, Issue 11
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
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
Deformation twinning in polycrystalline Zr: Insights from electron backscattered diffraction characterization
journal, March 2002
- Bingert, J. R.; Mason, T. A.; Kaschner, G. C.
- Metallurgical and Materials Transactions A, Vol. 33, Issue 3
Effect of deformation twinning on microstructure and texture evolution during cold rolling of CP-titanium
journal, May 2005
- Chun, Y. B.; Yu, S. H.; Semiatin, S. L.
- Materials Science and Engineering: A, Vol. 398, Issue 1-2
Microstructures and textures of pure magnesium deformed in plane-strain compression
journal, November 2004
- Nave, Mark Denis; Barnett, Matthew Robert
- Scripta Materialia, Vol. 51, Issue 9
Growth Twins and Deformation Twins in Metals
journal, July 2014
- Beyerlein, Irene J.; Zhang, Xinghang; Misra, Amit
- Annual Review of Materials Research, Vol. 44, Issue 1
Statistical analyses of deformation twinning in magnesium
journal, May 2010
- Beyerlein, I. J.; Capolungo, L.; Marshall, P. E.
- Philosophical Magazine, Vol. 90, Issue 16
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
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
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
Nucleation and propagation of twins in AZ31 magnesium alloy
journal, November 2015
- Khosravani, A.; Fullwood, D. T.; Adams, B. L.
- Acta Materialia, Vol. 100
EBSD characterization of twinning in cold-rolled CP-Ti
journal, October 2013
- Li, X.; Duan, Y. L.; Xu, G. F.
- Materials Characterization, Vol. 84
Advances in deformation twin characterization using electron backscattered diffraction data
journal, March 2002
- Mason, T. A.; Bingert, J. F.; Kaschner, G. C.
- Metallurgical and Materials Transactions A, Vol. 33, Issue 3
Initiation and accommodation of primary twins in high-purity titanium
journal, June 2014
- Qin, Hong; Jonas, John J.; Yu, Hongbing
- Acta Materialia, Vol. 71
Yield point elongation due to twinning in a magnesium alloy
journal, February 2012
- Barnett, Matthew R.; Nave, Mark D.; Ghaderi, Alireza
- Acta Materialia, Vol. 60, Issue 4
Influence of orientation on twin nucleation and growth at low strains in a magnesium alloy
journal, November 2014
- Barnett, M. R.; Ghaderi, A.; Quinta da Fonseca, J.
- Acta Materialia, Vol. 80
Sensitivity of deformation twinning to grain size in titanium and magnesium
journal, December 2011
- Ghaderi, Alireza; Barnett, Matthew R.
- Acta Materialia, Vol. 59, Issue 20
Twinning in pure Ti subjected to monotonic simple shear deformation
journal, October 2012
- Tirry, W.; Bouvier, S.; Benmhenni, N.
- Materials Characterization, Vol. 72
The effect of grain size on deformation twinning in a textured zinc alloy
journal, August 1983
- Ecob, Nicola; Ralph, Brian
- Journal of Materials Science, Vol. 18, Issue 8
Grain size effects on the tensile properties and deformation mechanisms of a magnesium alloy, AZ31B, sheet
journal, July 2008
- Jain, A.; Duygulu, O.; Brown, D. W.
- Materials Science and Engineering: A, Vol. 486, Issue 1-2
The effect of loading direction and Sn alloying on the deformation modes of Zr: An in-situ neutron diffraction study
journal, January 2016
- Mani Krishna, K. V.; Leo Prakash, D. G.; Timár, Gábor
- Materials Science and Engineering: A, Vol. 650
Low temperature peculiarities of plastic deformation in titanium and its alloys
journal, September 1980
- Moskalenko, V. A.; Startsev, V. I.; Kovaleva, V. N.
- Cryogenics, Vol. 20, Issue 9
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
Temperature and Strain Rate Dependence of Deformation Microstructures of AZ31 Magnesium Alloy under Uniaxial Tension
journal, March 2011
- Deng, Wan Peng; Gao, Zhan Feng; Li, Xiao Wu
- Advanced Materials Research, Vol. 217-218
The importance of mechanical twinning in the stress-strain behavior of swaged high purity fine-grained titanium below 424°K
journal, October 1971
- Garde, A. M.; Reed-Hill, R. E.
- Metallurgical Transactions, Vol. 2, Issue 10
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
Modeling the temperature dependent effect of twinning on the behavior of magnesium alloy AZ31B sheet
journal, July 2007
- Jain, A.; Agnew, S. R.
- Materials Science and Engineering: A, Vol. 462, Issue 1-2
Mechanical response and texture evolution of AZ31 alloy at large strains for different strain rates and temperatures
journal, May 2011
- Khan, Akhtar S.; Pandey, Amit; Gnäupel-Herold, Thomas
- International Journal of Plasticity, Vol. 27, Issue 5
Microstructure evolution under compressive plastic deformation of magnesium at different temperatures and strain rates
journal, February 2002
- Klimanek, P.; Pötzsch, A.
- Materials Science and Engineering: A, Vol. 324, Issue 1-2
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
Influence of grain size on the compressive deformation of wrought Mg–3Al–1Zn
journal, October 2004
- Barnett, M. R.; Keshavarz, Z.; Beer, A. G.
- Acta Materialia, Vol. 52, Issue 17
Role of {10–12} twinning characteristics in the deformation behavior of a polycrystalline magnesium alloy
journal, October 2010
- Hong, Seong-Gu; Park, Sung Hyuk; Lee, Chong Soo
- Acta Materialia, Vol. 58, Issue 18
Mechanical properties and deformation mechanisms of a commercially pure titanium
journal, October 1999
- Nemat-Nasser, S.; Guo, W. G.; Cheng, J. Y.
- Acta Materialia, Vol. 47, Issue 13
Strain hardening of titanium: role of deformation twinning
journal, August 2003
- Salem, Ayman A.; Kalidindi, Surya R.; Doherty, Roger D.
- Acta Materialia, Vol. 51, Issue 14
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
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
N-site modeling of a 3D viscoplastic polycrystal using Fast Fourier Transform
journal, August 2001
- A. Lebensohn, R.
- Acta Materialia, Vol. 49, Issue 14
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
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
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
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
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
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
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
Anomalous Basal Slip Activity in Zirconium under High-strain Deformation
journal, September 2013
- Knezevic, Marko; Beyerlein, Irene J.; Nizolek, Thomas
- Materials Research Letters, Vol. 1, Issue 3
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
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
Prediction of crystallographic texture evolution and anisotropic stress–strain curves during large plastic strains in high purity α-titanium using a Taylor-type crystal plasticity model
journal, January 2007
- Wu, X.; Kalidindi, S.; Necker, C.
- Acta Materialia, Vol. 55, Issue 2
Deformation twinning
journal, January 1995
- Christian, J. W.; Mahajan, S.
- Progress in Materials Science, Vol. 39, Issue 1-2
Pure-Shuffle Nucleation of Deformation Twins in Hexagonal-Close-Packed Metals
journal, September 2013
- Wang, J.; Yadav, S. K.; Hirth, J. P.
- Materials Research Letters, Vol. 1, Issue 3
Faceted interfacial structure of {101¯1} twins in Ti formed during equal channel angular pressing
journal, April 2010
- Li, Y. J.; Chen, Y. J.; Walmsley, J. C.
- Scripta Materialia, Vol. 62, Issue 7
Twinning disconnections and basal–prismatic twin boundary in magnesium
journal, January 2014
- Ostapovets, A.; Gröger, R.
- Modelling and Simulation in Materials Science and Engineering, Vol. 22, Issue 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
Structural characterization of twin boundaries in deformed cobalt
journal, November 2015
- Sun, Q.; Zhang, X. Y.; Yin, R. S.
- Scripta Materialia, Vol. 108
Structural characterization of {101¯2} twin boundaries in cobalt
journal, July 2013
- Tu, Jian; Zhang, Xiyan; Wang, Jian
- Applied Physics Letters, Vol. 103, Issue 5
Twinning and De-twinning via Glide and Climb of Twinning Dislocations along Serrated Coherent Twin Boundaries in Hexagonal-close-packed Metals
journal, February 2013
- Wang, J.; Liu, L.; Tomé, C. N.
- Materials Research Letters, Vol. 1, Issue 2
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
Internal strain and texture development during twinning: Comparing neutron diffraction measurements with crystal plasticity finite-element approaches
journal, March 2012
- Abdolvand, Hamidreza; Daymond, Mark R.
- Acta Materialia, Vol. 60, Issue 5
Multi-scale modeling and experimental study of twin inception and propagation in hexagonal close-packed materials using a crystal plasticity finite element approach; part II: Local behavior
journal, March 2013
- Abdolvand, Hamidreza; Daymond, Mark R.
- Journal of the Mechanics and Physics of Solids, Vol. 61, Issue 3
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
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
High resolution electron backscatter diffraction measurements of elastic strain variations in the presence of larger lattice rotations
journal, March 2012
- Britton, T. B.; Wilkinson, A. J.
- Ultramicroscopy, Vol. 114
Quantification of strain and orientation measurement error in cross-correlation EBSD in hexagonal close-packed materials
journal, November 2012
- Niezgoda, Stephen R.; McCabe, Rodney J.; Tomé, Carlos N.
- Scripta Materialia, Vol. 67, Issue 10
Explicit incorporation of deformation twins into crystal plasticity finite element models
journal, October 2015
- Ardeljan, Milan; McCabe, Rodney J.; Beyerlein, Irene J.
- Computer Methods in Applied Mechanics and Engineering, Vol. 295
Works referencing / citing this record:
Three-dimensional character of the deformation twin in magnesium
journal, July 2019
- Liu, Y.; Tang, P. Z.; Gong, M. Y.
- Nature Communications, Vol. 10, Issue 1
Twin hopping in nanolayered Zr-2.5Nb
text, January 2020
- Zhang, Jie-Wen; Leu, Brandon; Kumar, M. Arul
- Taylor & Francis
On the evolving nature of c/a ratio in a hexagonal close-packed epsilon martensite phase in transformative high entropy alloys
journal, September 2019
- Sinha, Subhasis; Nene, Saurabh S.; Frank, Michael
- Scientific Reports, Vol. 9, Issue 1
Quantitative analysis of {332}〈113〉 twinning in a Ti-15Mo alloy by in situ scanning electron microscopy
journal, June 2018
- Gutierrez-Urrutia, Ivan; Li, Cheng-Lin; Ji, Xin
- Science and Technology of Advanced Materials, Vol. 19, Issue 1
Strong grain neighbour effects in polycrystals
journal, January 2018
- Abdolvand, Hamidreza; Wright, Jonathan; Wilkinson, Angus J.
- Nature Communications, Vol. 9, Issue 1
Twin hopping in nanolayered Zr-2.5Nb
journal, April 2020
- Zhang, Jie-Wen; Leu, Brandon; Kumar, M. Arul
- Materials Research Letters, Vol. 8, Issue 8
Twin hopping in nanolayered Zr-2.5Nb
text, January 2020
- Zhang, Jie-Wen; Leu, Brandon; Kumar, M. Arul
- Taylor & Francis