DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Abstract

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 amore » 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.« less

Authors:
 [1];  [1];  [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
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:
1331290
Report Number(s):
LA-UR-16-26904
Journal ID: ISSN 0925-8388
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Alloys and Compounds
Additional Journal Information:
Journal Name: Journal of Alloys and Compounds; Journal ID: ISSN 0925-8388
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; anisotropy; magnesium; yield surface; Lankford coefficients; texture

Citation Formats

Arul Kumar, Mariyappan, Beyerlein, Irene Jane, and Tome, Carlos N. A measure of plastic anisotropy for hexagonal close packed metals: Application to alloying effects on the formability of Mg. United States: N. p., 2016. Web. doi:10.1016/j.jallcom.2016.10.287.
Arul Kumar, Mariyappan, Beyerlein, Irene Jane, & Tome, Carlos N. A measure of plastic anisotropy for hexagonal close packed metals: Application to alloying effects on the formability of Mg. United States. https://doi.org/10.1016/j.jallcom.2016.10.287
Arul Kumar, Mariyappan, Beyerlein, Irene Jane, and Tome, Carlos N. Tue . "A measure of plastic anisotropy for hexagonal close packed metals: Application to alloying effects on the formability of Mg". United States. https://doi.org/10.1016/j.jallcom.2016.10.287. https://www.osti.gov/servlets/purl/1331290.
@article{osti_1331290,
title = {A measure of plastic anisotropy for hexagonal close packed metals: Application to alloying effects on the formability of Mg},
author = {Arul Kumar, Mariyappan and Beyerlein, Irene Jane and Tome, Carlos N.},
abstractNote = {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.},
doi = {10.1016/j.jallcom.2016.10.287},
journal = {Journal of Alloys and Compounds},
number = ,
volume = ,
place = {United States},
year = {Tue Nov 01 00:00:00 EDT 2016},
month = {Tue Nov 01 00:00:00 EDT 2016}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 49 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

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


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

  • Kulekci, Mustafa Kemal
  • The International Journal of Advanced Manufacturing Technology, Vol. 39, Issue 9-10
  • DOI: 10.1007/s00170-007-1279-2

Current issues in magnesium sheet alloys: Where do we go from here?
journal, August 2014


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


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


Enhanced ductility in strongly textured magnesium produced by equal channel angular processing
journal, February 2004


Grain Size Effects on Primary, Secondary, and Tertiary Twin Development in Mg-4 wt pct Li (-1 wt pct Al) Alloys
journal, August 2014

  • Lentz, Martin; Behringer, Andreas; Fahrenson, Christoph
  • Metallurgical and Materials Transactions A, Vol. 45, Issue 11
  • DOI: 10.1007/s11661-014-2491-y

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

Texture and microstructure changes in asymmetrically hot rolled AZ31 magnesium alloy sheets
journal, December 2005


Microstructure and mechanical properties of Mg–Al–Zn alloy sheets severely deformed by asymmetrical rolling
journal, February 2007


Ductility enhancement in AZ31 magnesium alloy by controlling its grain structure
journal, July 2001


Influence of Rolling Conditions on the Microstructure and Mechanical Properties of Magnesium Sheet AZ31
journal, December 2003

  • Kaiser, F.; Bohlen, J.; Letzig, D.
  • Advanced Engineering Materials, Vol. 5, Issue 12
  • DOI: 10.1002/adem.200300404

Deformation microstructures and textures of some cold rolled Mg alloys
journal, November 2004


The texture and anisotropy of magnesium–zinc–rare earth alloy sheets
journal, April 2007


Enhancement of tensile ductility and stretch formability of magnesium by addition of 0.2wt%(0.035at%)Ce
journal, October 2008

  • Chino, Yasumasa; Kado, Motohisa; Mabuchi, Mamoru
  • Materials Science and Engineering: A, Vol. 494, Issue 1-2
  • DOI: 10.1016/j.msea.2008.04.059

Sheet texture modification in magnesium-based alloys by selective rare earth alloying
journal, April 2011


Effect of alloying elements on the formation of rolling texture in Mg-Nd-Zr and Mg-Li alloys
journal, January 2011

  • Betsofen, S. Ya.; Volkova, E. F.; Shaforostov, A. A.
  • Russian Metallurgy (Metally), Vol. 2011, Issue 1
  • DOI: 10.1134/S0036029511010058

Effect of rare earth elements on the microstructure and texture development in magnesium–manganese alloys during extrusion
journal, October 2010

  • Bohlen, Jan; Yi, Sangbong; Letzig, Dietmar
  • Materials Science and Engineering: A, Vol. 527, Issue 26
  • DOI: 10.1016/j.msea.2010.07.081

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)
journal, January 2014

  • Chakkedath, Ajith; Bohlen, Jan; Yi, Sangbong
  • Metallurgical and Materials Transactions A, Vol. 45, Issue 8
  • DOI: 10.1007/s11661-013-2143-7

Texture and stretch formability of a rolled Mg–Zn alloy containing dilute content of Y
journal, July 2009

  • Chino, Yasumasa; Sassa, Kensuke; Mabuchi, Mamoru
  • Materials Science and Engineering: A, Vol. 513-514
  • DOI: 10.1016/j.msea.2009.01.074

Explaining texture weakening and improved formability in magnesium rare earth alloys
journal, August 2014


Effect of rare earth additions on microstructure and texture development of magnesium alloy sheets
journal, October 2010


Influence of cerium on the texture and ductility of magnesium extrusions
journal, September 2008


Yield symmetry and reduced strength differential in Mg-2.5Y alloy
journal, November 2016


Plastic Deformation Behavior in Magnesium Alloy Single Crystals
journal, January 2012


Effects of Ca on Tensile Properties and Stretch Formability at Room Temperature in Mg-Zn and Mg-Al Alloys
journal, January 2011


Texture weakening and ductility variation of Mg–2Zn alloy with CA or RE addition
journal, October 2015


Texture Modification by Addition of Ca in Mg–Zn–Y Alloy
journal, January 2012


Application of texture simulation to understanding mechanical behavior of Mg and solid solution alloys containing Li or Y
journal, December 2001


Effect of age hardening on the deformation behavior of an Mg–Y–Nd alloy: In-situ X-ray diffraction and crystal plasticity modeling
journal, March 2015


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

Yield Loci Calculation of Hexagonal Materials Using a Selfconsistent Polycrystalline Model
journal, January 1996


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


Formability Maps
journal, August 1981


Crystal plasticity-based forming limit prediction for non-cubic metals: Application to Mg alloy AZ31B
journal, March 2009


Plastic deformation and ductility of magnesium AZ31B-H24 alloy sheet from 22 to 450°C
journal, April 2015

  • Antoniswamy, Aravindha R.; Taleff, Eric M.; Hector, Louis G.
  • Materials Science and Engineering: A, Vol. 631
  • DOI: 10.1016/j.msea.2015.02.018

A self consistent approach of the large deformation polycrystal viscoplasticity
journal, December 1987


Self-consistent modelling of the mechanical behaviour of viscoplastic polycrystals incorporating intragranular field fluctuations
journal, August 2007

  • Lebensohn, R. A.; Tomé, C. N.; CastaÑeda, P. Ponte
  • Philosophical Magazine, Vol. 87, Issue 28
  • DOI: 10.1080/14786430701432619

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

Strain rate and temperature sensitive multi-level crystal plasticity model for large plastic deformation behavior: Application to AZ31 magnesium alloy
journal, August 2016

  • Ardeljan, Milan; Beyerlein, Irene J.; McWilliams, Brandon A.
  • International Journal of Plasticity, Vol. 83
  • DOI: 10.1016/j.ijplas.2016.04.005

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

Modeling the effect of twinning and detwinning during strain-path changes of magnesium alloy AZ31
journal, May 2009

  • Proust, Gwénaëlle; Tomé, Carlos N.; Jain, Ashutosh
  • International Journal of Plasticity, Vol. 25, Issue 5
  • DOI: 10.1016/j.ijplas.2008.05.005

Evaluating the effect of yttrium as a solute strengthener in magnesium using in situ neutron diffraction
journal, October 2014


Towards resolving the anonymity of pyramidal slip in magnesium
journal, September 2015


Pyramidal I slip in c-axis compressed Mg single crystals
journal, February 2016


Microcompression of single-crystal magnesium
journal, April 2010


Microcompression study of Mg (0001) single crystal
journal, April 2010


Formation and slip of pyramidal dislocations in hexagonal close-packed magnesium single crystals
journal, June 2014


Reducing deformation anisotropy to achieve ultrahigh strength and ductility in Mg at the nanoscale
journal, July 2013

  • Yu, Q.; Qi, L.; Mishra, R. K.
  • Proceedings of the National Academy of Sciences, Vol. 110, Issue 33
  • DOI: 10.1073/pnas.1306371110

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


Twinning and texture development in two Mg alloys subjected to loading along three different strain paths
journal, June 2007


Modeling twinning and detwinning behavior of Mg alloy ZK60A during monotonic and cyclic loading
journal, February 2015


The plasticity of highly oriented nano-layered Zr/Nb composites
journal, August 2016


Incorporating interface affected zones into crystal plasticity
journal, February 2015


Modeling the temperature dependent effect of twinning on the behavior of magnesium alloy AZ31B sheet
journal, July 2007


Twinning and the ductility of magnesium alloys
journal, August 2007


Tensile-compressive yield asymmetries in high strength wrought magnesium alloys
journal, July 1994


The effects of texture and extension twinning on the low-cycle fatigue behavior of a rolled magnesium alloy, AZ31B
journal, October 2010


Mechanical properties of Mg–Al–Zn alloy with a tilted basal texture obtained by differential speed rolling
journal, August 2008

  • Huang, Xinsheng; Suzuki, Kazutaka; Watazu, Akira
  • Materials Science and Engineering: A, Vol. 488, Issue 1-2
  • DOI: 10.1016/j.msea.2007.11.029

Influence of initial texture on rolling and annealing textures of Mg–3Al–1Zn alloy sheets processed by high temperature rolling
journal, October 2012


Reducing the tension–compression yield asymmetry in a hot-rolled Mg–3Al–1Zn alloy via multidirectional pre-compression
journal, March 2013


Influence of Tension-Compression Asymmetry on the Mechanical Behavior of AZ31B Magnesium Alloy Sheets in Bending
journal, February 2016

  • Zhou, Ping; Beeh, Elmar; Friedrich, Horst E.
  • Journal of Materials Engineering and Performance, Vol. 25, Issue 3
  • DOI: 10.1007/s11665-016-1961-3

Tension–compression asymmetry in an extruded Mg alloy AM30: Temperature and strain rate effects
journal, June 2013

  • Zachariah, Z.; Tatiparti, Sankara Sarma V.; Mishra, S. K.
  • Materials Science and Engineering: A, Vol. 572
  • DOI: 10.1016/j.msea.2013.02.023

Mechanical anisotropy and deep drawing behaviour of AZ31 and ZE10 magnesium alloy sheets
journal, January 2010


Works referencing / citing this record:

Effect of Asymmetric Rolling on the Microstructure, Mechanical Properties and Texture Evolution of Mg–8Li–3Al–1Y Alloy
journal, March 2019


Room temperature deformation mechanisms of Mg/Nb nanolayered composites
journal, May 2018

  • Ardeljan, Milan; Knezevic, Marko; Jain, Manish
  • Journal of Materials Research, Vol. 33, Issue 10
  • DOI: 10.1557/jmr.2018.107