A measure of plastic anisotropy for hexagonal close packed metals: Application to alloying effects on the formability of Mg

Arul Kumar, Mariyappan; Beyerlein, Irene Jane; Tome, Carlos N.

doi:10.1016/j.jallcom.2016.10.287

A measure of plastic anisotropy for hexagonal close packed metals: Application to alloying effects on the formability of Mg

Journal Article · Tue Nov 01 00:00:00 EDT 2016 · Journal of Alloys and Compounds

DOI:https://doi.org/10.1016/j.jallcom.2016.10.287· OSTI ID:1331290

Arul Kumar, Mariyappan ^[1]; Beyerlein, Irene Jane ^[1]; Tome, Carlos N. ^[1]

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

Mg is inherently plastically anisotropic and, over the years, alloying development efforts have sought to reduce the plastic anisotropy in order to enhance formability. To understand the relationship between alloy type and plastic anisotropy, we use a visco-plastic self-consistent (VPSC) polycrystal plasticity model to relate the macroscopic constitutive response to the underlying slip and twinning mechanisms in pure Mg and several Mg alloys. In the calculations, the influence of alloy type is represented by the differences in the CRSS values among the basal, prismatic, pyramidal slip and tensile twin systems. We show that for the same initial texture, this microscopic-level CRSS anisotropy can have a significant effect on the macroscopic indicators of formability, namely the anisotropy of the post-deformation polycrystal yield surface, tension-compression yield asymmetry, and Lankford coefficients. A plastic anisotropy (PA) measure is formulated to quantify the degree of single crystal plastic anisotropy acquired by the dissimilarities in the CRSS values of the slip and twinning modes for a given alloy. We demonstrate a strong correlation between the PA measure with the formability indicators mentioned above for multiple initial textures commonly enountered in processing. In conclusion, we find that alloys can be classified into two groups, those with a PA value below 2, which are more formable, less twinnable, and less sensitive to initial texture, where PA ~2 for pure Mg, and those with a PA value above 2, which possess the opposite deformation response.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL)

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

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1331290

Report Number(s):: LA-UR-16-26904

Journal Information:: Journal of Alloys and Compounds, Journal Name: Journal of Alloys and Compounds; ISSN 0925-8388

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (72)

Influence of Rolling Conditions on the Microstructure and Mechanical Properties of Magnesium Sheet AZ31 Kaiser, F.; Bohlen, J.; Letzig, D. Advanced Engineering Materials, Vol. 5, Issue 12 https://doi.org/10.1002/adem.200300404	journal	December 2003
Slip, twinning, and fracture in hexagonal close-packed metals Yoo, M. H. Metallurgical Transactions A, Vol. 12, Issue 3 https://doi.org/10.1007/BF02648537	journal	March 1981
Magnesium and its alloys applications in automotive industry Kulekci, Mustafa Kemal The International Journal of Advanced Manufacturing Technology, Vol. 39, Issue 9-10 https://doi.org/10.1007/s00170-007-1279-2	journal	November 2007
The Effect of Nd on the Tension and Compression Deformation Behavior of Extruded Mg-1Mn (wt pct) at Temperatures Between 298 K and 523 K (25 °C and 250 °C) Chakkedath, Ajith; Bohlen, Jan; Yi, Sangbong Metallurgical and Materials Transactions A, Vol. 45, Issue 8 https://doi.org/10.1007/s11661-013-2143-7	journal	January 2014
Grain Size Effects on Primary, Secondary, and Tertiary Twin Development in Mg-4 wt pct Li (-1 wt pct Al) Alloys Lentz, Martin; Behringer, Andreas; Fahrenson, Christoph Metallurgical and Materials Transactions A, Vol. 45, Issue 11 https://doi.org/10.1007/s11661-014-2491-y	journal	August 2014
Analysis of the Deformation Behavior of Magnesium-Rare Earth Alloys Mg-2 pct Mn-1 pct Rare Earth and Mg-5 pct Y-4 pct Rare Earth by In Situ Energy-Dispersive X-ray Synchrotron Diffraction and Elasto-Plastic Self-Consistent Modeling Lentz, Martin; Klaus, Manuela; Coelho, Rodrigo S. Metallurgical and Materials Transactions A, Vol. 45, Issue 12 https://doi.org/10.1007/s11661-014-2533-5	journal	September 2014
Influence of Tension-Compression Asymmetry on the Mechanical Behavior of AZ31B Magnesium Alloy Sheets in Bending Zhou, Ping; Beeh, Elmar; Friedrich, Horst E. Journal of Materials Engineering and Performance, Vol. 25, Issue 3 https://doi.org/10.1007/s11665-016-1961-3	journal	February 2016
A self consistent approach of the large deformation polycrystal viscoplasticity Molinari, A.; Canova, G. R.; Ahzi, S. Acta Metallurgica, Vol. 35, Issue 12 https://doi.org/10.1016/0001-6160(87)90297-5	journal	December 1987
A model for texture development dominated by deformation twinning: Application to zirconium alloys Tomé, C. N.; Lebensohn, R. A.; Kocks, U. F. Acta Metallurgica et Materialia, Vol. 39, Issue 11 https://doi.org/10.1016/0956-7151(91)90083-D	journal	November 1991
A self-consistent anisotropic approach for the simulation of plastic deformation and texture development of polycrystals: Application to zirconium alloys Lebensohn, R. A.; Tomé, C. N. Acta Metallurgica et Materialia, Vol. 41, Issue 9 https://doi.org/10.1016/0956-7151(93)90130-K	journal	September 1993
Tensile-compressive yield asymmetries in high strength wrought magnesium alloys Ball, E. A.; Prangnell, P. B. Scripta Metallurgica et Materialia, Vol. 31, Issue 2 https://doi.org/10.1016/0956-716X(94)90159-7	journal	July 1994
Deformation microstructures and textures of some cold rolled Mg alloys Barnett, M.; Nave, M.; Bettles, C. Materials Science and Engineering A, Vol. 386, Issue 1-2 https://doi.org/10.1016/S0921-5093(04)00942-6	journal	November 2004
Application of texture simulation to understanding mechanical behavior of Mg and solid solution alloys containing Li or Y Agnew, S. R.; Yoo, M. H.; Tomé, C. N. Acta Materialia, Vol. 49, Issue 20 https://doi.org/10.1016/S1359-6454(01)00297-X	journal	December 2001
Texture development and its effect on mechanical properties of an AZ61 Mg alloy fabricated by equal channel angular pressing Kim, W. J.; Hong, S. I.; Kim, Y. S. Acta Materialia, Vol. 51, Issue 11 https://doi.org/10.1016/S1359-6454(03)00161-7	journal	June 2003
Ductility enhancement in AZ31 magnesium alloy by controlling its grain structure Mukai, Toshiji; Yamanoi, Masashi; Watanabe, Hiroyuki Scripta Materialia, Vol. 45, Issue 1 https://doi.org/10.1016/S1359-6462(01)00996-4	journal	July 2001
The texture and anisotropy of magnesium–zinc–rare earth alloy sheets Bohlen, Jan; Nürnberg, Marcus R.; Senn, Jeremy W. Acta Materialia, Vol. 55, Issue 6 https://doi.org/10.1016/j.actamat.2006.11.013	journal	April 2007
Twinning and texture development in two Mg alloys subjected to loading along three different strain paths Jiang, L.; Jonas, J. J.; Mishra, R. K. Acta Materialia, Vol. 55, Issue 11 https://doi.org/10.1016/j.actamat.2007.03.006	journal	June 2007
Mechanical anisotropy and deep drawing behaviour of AZ31 and ZE10 magnesium alloy sheets Yi, Sangbong; Bohlen, Jan; Heinemann, Frank Acta Materialia, Vol. 58, Issue 2 https://doi.org/10.1016/j.actamat.2009.09.038	journal	January 2010
Formation and slip of pyramidal dislocations in hexagonal close-packed magnesium single crystals Tang, Yizhe; El-Awady, Jaafar A. Acta Materialia, Vol. 71 https://doi.org/10.1016/j.actamat.2014.03.022	journal	June 2014
Evaluating the effect of yttrium as a solute strengthener in magnesium using in situ neutron diffraction Stanford, N.; Cottam, R.; Davis, B. Acta Materialia, Vol. 78 https://doi.org/10.1016/j.actamat.2014.06.023	journal	October 2014
In situ X-ray diffraction and crystal plasticity modeling of the deformation behavior of extruded Mg–Li–(Al) alloys: An uncommon tension–compression asymmetry Lentz, Martin; Klaus, Manuela; Beyerlein, Irene J. Acta Materialia, Vol. 86 https://doi.org/10.1016/j.actamat.2014.12.003	journal	March 2015
Emergence of grain-size effects in nanocrystalline metals from statistical activation of discrete dislocation sources Yuan, Rui; Beyerlein, Irene J.; Zhou, Caizhi Acta Materialia, Vol. 90 https://doi.org/10.1016/j.actamat.2015.02.035	journal	May 2015
The plasticity of highly oriented nano-layered Zr/Nb composites Ardeljan, Milan; Savage, Daniel J.; Kumar, Anil Acta Materialia, Vol. 115 https://doi.org/10.1016/j.actamat.2016.05.058	journal	August 2016
Yield symmetry and reduced strength differential in Mg-2.5Y alloy Zhang, Dalong; Wen, Haiming; Kumar, M. Arul Acta Materialia, Vol. 120 https://doi.org/10.1016/j.actamat.2016.08.037	journal	November 2016
Crystal plasticity-based forming limit prediction for non-cubic metals: Application to Mg alloy AZ31B John Neil, C.; Agnew, Sean R. International Journal of Plasticity, Vol. 25, Issue 3 https://doi.org/10.1016/j.ijplas.2008.05.003	journal	March 2009
Modeling the effect of twinning and detwinning during strain-path changes of magnesium alloy AZ31 Proust, Gwénaëlle; Tomé, Carlos N.; Jain, Ashutosh International Journal of Plasticity, Vol. 25, Issue 5 https://doi.org/10.1016/j.ijplas.2008.05.005	journal	May 2009
A crystal plasticity model for hexagonal close packed (HCP) crystals including twinning and de-twinning mechanisms Wang, H.; Wu, P. D.; Wang, J. International Journal of Plasticity, Vol. 49 https://doi.org/10.1016/j.ijplas.2013.02.016	journal	October 2013
Modeling twinning and detwinning behavior of Mg alloy ZK60A during monotonic and cyclic loading Qiao, H.; Agnew, S. R.; Wu, P. D. International Journal of Plasticity, Vol. 65 https://doi.org/10.1016/j.ijplas.2014.08.010	journal	February 2015
Incorporating interface affected zones into crystal plasticity Mayeur, J. R.; Beyerlein, I. J.; Bronkhorst, C. A. International Journal of Plasticity, Vol. 65 https://doi.org/10.1016/j.ijplas.2014.08.013	journal	February 2015
An elasto-plastic constitutive model for evolving asymmetric/anisotropic hardening behavior of AZ31B and ZEK100 magnesium alloy sheets considering monotonic and reverse loading paths Muhammad, Waqas; Mohammadi, Mohsen; Kang, Jidong International Journal of Plasticity, Vol. 70 https://doi.org/10.1016/j.ijplas.2015.03.004	journal	July 2015
Demonstration of alloying, thermal activation, and latent hardening effects on quasi-static and dynamic polycrystal plasticity of Mg alloy, WE43-T5, plate Bhattacharyya, J. J.; Wang, F.; Wu, P. D. International Journal of Plasticity, Vol. 81 https://doi.org/10.1016/j.ijplas.2016.01.005	journal	June 2016
Strain rate and temperature sensitive multi-level crystal plasticity model for large plastic deformation behavior: Application to AZ31 magnesium alloy Ardeljan, Milan; Beyerlein, Irene J.; McWilliams, Brandon A. International Journal of Plasticity, Vol. 83 https://doi.org/10.1016/j.ijplas.2016.04.005	journal	August 2016
Influence of initial texture on rolling and annealing textures of Mg–3Al–1Zn alloy sheets processed by high temperature rolling Huang, Xinsheng; Suzuki, Kazutaka; Chino, Yasumasa Journal of Alloys and Compounds, Vol. 537 https://doi.org/10.1016/j.jallcom.2012.05.002	journal	October 2012
Effect of microstructure on the nucleation of deformation twins in polycrystalline high-purity magnesium: A multi-scale modeling study Beyerlein, I. J.; McCabe, R. J.; Tomé, C. N. Journal of the Mechanics and Physics of Solids, Vol. 59, Issue 5 https://doi.org/10.1016/j.jmps.2011.02.007	journal	May 2011
Numerical study of the large strain behavior of extruded magnesium alloy AM30 tube by elastic viscoplastic self-consistent model Guo, X. Q.; Wang, H.; Qiao, H. Materials & Design, Vol. 79 https://doi.org/10.1016/j.matdes.2015.04.044	journal	August 2015
Texture and microstructure changes in asymmetrically hot rolled AZ31 magnesium alloy sheets Kim, Su-Hyeon; You, Bong-Sun; Dong Yim, Chang Materials Letters, Vol. 59, Issue 29-30 https://doi.org/10.1016/j.matlet.2005.07.024	journal	December 2005
Modeling the temperature dependent effect of twinning on the behavior of magnesium alloy AZ31B sheet Jain, A.; Agnew, S. R. Materials Science and Engineering: A, Vol. 462, Issue 1-2 https://doi.org/10.1016/j.msea.2006.03.160	journal	July 2007
Twinning and the ductility of magnesium alloys Barnett, M. R. Materials Science and Engineering: A, Vol. 464, Issue 1-2 https://doi.org/10.1016/j.msea.2006.12.037	journal	August 2007
Mechanical properties of Mg–Al–Zn alloy with a tilted basal texture obtained by differential speed rolling Huang, Xinsheng; Suzuki, Kazutaka; Watazu, Akira Materials Science and Engineering: A, Vol. 488, Issue 1-2 https://doi.org/10.1016/j.msea.2007.11.029	journal	August 2008
Enhancement of tensile ductility and stretch formability of magnesium by addition of 0.2wt%(0.035at%)Ce Chino, Yasumasa; Kado, Motohisa; Mabuchi, Mamoru Materials Science and Engineering: A, Vol. 494, Issue 1-2 https://doi.org/10.1016/j.msea.2008.04.059	journal	October 2008
Texture and stretch formability of a rolled Mg–Zn alloy containing dilute content of Y Chino, Yasumasa; Sassa, Kensuke; Mabuchi, Mamoru Materials Science and Engineering: A, Vol. 513-514 https://doi.org/10.1016/j.msea.2009.01.074	journal	July 2009
The effects of texture and extension twinning on the low-cycle fatigue behavior of a rolled magnesium alloy, AZ31B Wu, L.; Agnew, S. R.; Ren, Y. Materials Science and Engineering: A, Vol. 527, Issue 26 https://doi.org/10.1016/j.msea.2010.07.047	journal	October 2010
Effect of rare earth elements on the microstructure and texture development in magnesium–manganese alloys during extrusion Bohlen, Jan; Yi, Sangbong; Letzig, Dietmar Materials Science and Engineering: A, Vol. 527, Issue 26 https://doi.org/10.1016/j.msea.2010.07.081	journal	October 2010
Sheet texture modification in magnesium-based alloys by selective rare earth alloying Al-Samman, T.; Li, X. Materials Science and Engineering: A, Vol. 528, Issue 10-11 https://doi.org/10.1016/j.msea.2011.01.080	journal	April 2011
Reducing the tension–compression yield asymmetry in a hot-rolled Mg–3Al–1Zn alloy via multidirectional pre-compression Xu, Shun; Liu, Tianmo; Chen, Huicong Materials Science and Engineering: A, Vol. 565 https://doi.org/10.1016/j.msea.2012.11.127	journal	March 2013
Tension–compression asymmetry in an extruded Mg alloy AM30: Temperature and strain rate effects Zachariah, Z.; Tatiparti, Sankara Sarma V.; Mishra, S. K. Materials Science and Engineering: A, Vol. 572 https://doi.org/10.1016/j.msea.2013.02.023	journal	June 2013
Effect of age hardening on the deformation behavior of an Mg–Y–Nd alloy: In-situ X-ray diffraction and crystal plasticity modeling Lentz, Martin; Klaus, Manuela; Wagner, Michael Materials Science and Engineering: A, Vol. 628 https://doi.org/10.1016/j.msea.2015.01.069	journal	March 2015
Plastic deformation and ductility of magnesium AZ31B-H24 alloy sheet from 22 to 450°C Antoniswamy, Aravindha R.; Taleff, Eric M.; Hector, Louis G. Materials Science and Engineering: A, Vol. 631 https://doi.org/10.1016/j.msea.2015.02.018	journal	April 2015
Towards resolving the anonymity of pyramidal slip in magnesium Fan, Haidong; El-Awady, Jaafar A. Materials Science and Engineering: A, Vol. 644 https://doi.org/10.1016/j.msea.2015.07.080	journal	September 2015
Texture weakening and ductility variation of Mg–2Zn alloy with CA or RE addition Ding, Hanlin; Shi, Xiaobin; Wang, Yongqiang Materials Science and Engineering: A, Vol. 645 https://doi.org/10.1016/j.msea.2015.08.025	journal	October 2015
Enhanced ductility in strongly textured magnesium produced by equal channel angular processing Agnew, S. R.; Horton, J. A.; Lillo, T. M. Scripta Materialia, Vol. 50, Issue 3 https://doi.org/10.1016/j.scriptamat.2003.10.006	journal	February 2004
Microstructure and mechanical properties of Mg–Al–Zn alloy sheets severely deformed by asymmetrical rolling Kim, W. J.; Lee, J. B.; Kim, W. Y. Scripta Materialia, Vol. 56, Issue 4, p. 309-312 https://doi.org/10.1016/j.scriptamat.2006.09.034	journal	February 2007
Influence of cerium on the texture and ductility of magnesium extrusions Mishra, Raja K.; Gupta, Anil K.; Rao, P. Rama Scripta Materialia, Vol. 59, Issue 5 https://doi.org/10.1016/j.scriptamat.2008.05.019	journal	September 2008
Microcompression of single-crystal magnesium Byer, Cynthia M.; Li, Bin; Cao, Buyang Scripta Materialia, Vol. 62, Issue 8 https://doi.org/10.1016/j.scriptamat.2009.12.017	journal	April 2010
Effect of rare earth additions on microstructure and texture development of magnesium alloy sheets Hantzsche, K.; Bohlen, J.; Wendt, J. Scripta Materialia, Vol. 63, Issue 7 https://doi.org/10.1016/j.scriptamat.2009.12.033	journal	October 2010
Microcompression study of Mg (0001) single crystal Lilleodden, Erica Scripta Materialia, Vol. 62, Issue 8 https://doi.org/10.1016/j.scriptamat.2009.12.048	journal	April 2010
Current issues in magnesium sheet alloys: Where do we go from here? Suh, Byeong-Chan; Shim, Myeong-Shik; Shin, K. S. Scripta Materialia, Vol. 84-85 https://doi.org/10.1016/j.scriptamat.2014.04.017	journal	August 2014
Pyramidal I slip in c-axis compressed Mg single crystals Xie, Kelvin Y.; Alam, Zafir; Caffee, Alexander Scripta Materialia, Vol. 112 https://doi.org/10.1016/j.scriptamat.2015.09.016	journal	February 2016
Strength and ductility with {10͞11} — {10͞12} double twinning in a magnesium alloy Lentz, M.; Risse, M.; Schaefer, N. Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms11068	journal	April 2016
Reducing deformation anisotropy to achieve ultrahigh strength and ductility in Mg at the nanoscale Yu, Q.; Qi, L.; Mishra, R. K. Proceedings of the National Academy of Sciences, Vol. 110, Issue 33 https://doi.org/10.1073/pnas.1306371110	journal	July 2013
Self-consistent modelling of the mechanical behaviour of viscoplastic polycrystals incorporating intragranular field fluctuations Lebensohn, R. A.; Tomé, C. N.; CastaÑeda, P. Ponte Philosophical Magazine, Vol. 87, Issue 28 https://doi.org/10.1080/14786430701432619	journal	August 2007
The determination of the elastic field of an ellipsoidal inclusion, and related problems Eshelby, John Douglas Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 241, Issue 1226, p. 376-396 https://doi.org/10.1098/rspa.1957.0133	journal	August 1957
Effect of alloying elements on the formation of rolling texture in Mg-Nd-Zr and Mg-Li alloys Betsofen, S. Ya.; Volkova, E. F.; Shaforostov, A. A. Russian Metallurgy (Metally), Vol. 2011, Issue 1 https://doi.org/10.1134/S0036029511010058	journal	January 2011
Formability Maps Embury, J. D.; Duncan, J. L. Annual Review of Materials Science, Vol. 11, Issue 1 https://doi.org/10.1146/annurev.ms.11.080181.002445	journal	August 1981
Yield Loci Calculation of Hexagonal Materials Using a Selfconsistent Polycrystalline Model Lebensohn, R. A.; Tomé, C. N. Textures and Microstructures, Vol. 26 https://doi.org/10.1155/TSM.26-27.513	journal	January 1996
Critical Assessment 6: Magnesium sheet alloys: viable alternatives to steels? Kim, N. J. Materials Science and Technology, Vol. 30, Issue 15 https://doi.org/10.1179/1743284714Y.0000000596	journal	July 2014
Explaining texture weakening and improved formability in magnesium rare earth alloys Griffiths, D. Materials Science and Technology, Vol. 31, Issue 1 https://doi.org/10.1179/1743284714Y.0000000632	journal	August 2014
The crystallography and deformation modes of hexagonal close-packed metals Partridge, P. G. International Materials Reviews, Vol. 12, Issue 1 https://doi.org/10.1179/imr.1967.12.1.169	journal	January 1967
Stochastic Processes of {1012} Deformation Twinning in Hexagonal Close-Packed Polycrystalline Zirconium and Magnesium Beyerlein, Irene J.; McCabe, R. J.; Tome, C. N. International Journal for Multiscale Computational Engineering, Vol. 9, Issue 4 https://doi.org/10.1615/IntJMultCompEng.v9.i4.80	journal	January 2011
Effects of Ca on Tensile Properties and Stretch Formability at Room Temperature in Mg-Zn and Mg-Al Alloys Chino, Yasumasa; Ueda, Takamichi; Otomatsu, Yuki MATERIALS TRANSACTIONS, Vol. 52, Issue 7 https://doi.org/10.2320/matertrans.M2011048	journal	January 2011
Texture Modification by Addition of Ca in Mg–Zn–Y Alloy Kyeong, Joon Seok; Kim, Jeong Kyun; Lee, Myung Jae MATERIALS TRANSACTIONS, Vol. 53, Issue 5 https://doi.org/10.2320/matertrans.M2011401	journal	January 2012
Plastic Deformation Behavior in Magnesium Alloy Single Crystals Ando, Shinji; Tsushida, Masayuki; Kitahara, Hiromoto Materials Science Forum, Vol. 706-709 https://doi.org/10.4028/www.scientific.net/MSF.706-709.1122	journal	January 2012

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36 MATERIALS SCIENCE
Lankford coefficients
anisotropy
magnesium
texture
yield surface

A measure of plastic anisotropy for hexagonal close packed metals: Application to alloying effects on the formability of Mg

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