Abstract
Deformation twinning is a prevalent mode of plastic deformation in hexagonal close packed (HCP) magnesium. Twin domains are associated with significant lattice reorientation and localized shear. The theoretical misorientation angle for the most common \( \left\{ {10\overline{1} 2} \right\}\) tensile twin in magnesium is 86.3°. Through electron backscatter diffraction characterization of twinning microstructure, we show that the twin boundary misorientation at the twin tips is approximately 85°, and it is close to the theoretical value only along the central part of the twin. The variations in twin/matrix misorientation along the twin boundary control the twin thickening process by affecting the nucleation, glide of twinning partials, and migration of twinning facets. To understand this observation, we employ a 3D crystal plasticity model with explicit twinning. The model successfully captures the experimentally observed misorientation variation, and it reveals that the twin boundary misorientation variations are governed by the local plasticity that accommodates the characteristic twin shear.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
M.H. Yoo, Slip, Twinning, and Fracture in Hexagonal Close-Packed Metals, Metall Trans A 12(3) (1981) 409-418.
I.J. Beyerlein, L. Capolungo, P.E. Marshall, R.J. McCabe, C.N. Tome, Statistical analyses of deformation twinning in magnesium (vol 90, pg 2161, 2010), Philos Mag 90(30) (2010) 4073-4074.
M.A. Kumar, M. Wroński, R.J. McCabe, L. Capolungo, K. Wierzbanowski, C.N. Tomé, Role of microstructure on twin nucleation and growth in HCP titanium: A statistical study, Acta Mater 148 (2018) 123-132.
A. Serra, D. Bacon, Computer simulation of screw dislocation interactions with twin boundaries in HCP metals, Acta metallurgica et materialia 43(12) (1995) 4465-4481.
A. Serra, D.J. Bacon, Interaction of a moving {} twin boundary with perfect dislocations and loops in a hcp metal, Philos Mag 90(7-8) (2010) 845-861.
A. Serra, D.J. Bacon, R.C. Pond, Twins as barriers to basal slip in hexagonal-close-packed metals, Metallurgical and Materials Transactions A 33(13) (2002) 809-812.
L. Jiang, M.A. Kumar, I.J. Beyerlein, X. Wang, D. Zhang, C. Wu, C. Cooper, T.J. Rupert, S. Mahajan, E.J. Lavernia, J.M. Schoenung, Twin formation from a twin boundary in Mg during in-situ nanomechanical testing, Materials Science and Engineering: A 759 (2019) 142-153.
G. Proust, C.N. Tome, A. Jain, S.R. Agnew, Modeling the effect of twinning and detwinning during strain-path changes of magnesium alloy AZ31, Int J Plasticity 25(5) (2009) 861-880.
A.A. Salem, S.R. Kalidindi, R.D. Doherty, S.L. Semiatin, Strain hardening due to deformation twinning in alpha-titanium: Mechanisms, Metall Mater Trans A 37a(1) (2006) 259-268.
Y.N. Wang, J.C. Huang, The role of twinning and untwinning in yielding behavior in hot-extruded Mg-Al-Zn alloy, Acta Mater 55(3) (2007) 897-905.
M. Wronski, M. Arul Kumar, L. Capolungo, R. Madec, K. Wierzbanowski, C.N. Tome, Deformation behavior of CP-titanium: Experiment and Crystal plasticity modeling, Mat Sci Eng a-Struct 724 (2018) 289-297.
M.H. Yoo, J.K. Lee, Deformation Twinning in Hcp Metals and Alloys, Philos Mag A 63(5) (1991) 987-1000.
X. Zhang, B. Li, X. Wu, Y. Zhu, Q. Ma, Q. Liu, P. Wang, M. Horstemeyer, Twin boundaries showing very large deviations from the twinning plane, Scripta Mater 67(10) (2012) 862-865.
M. Gharghouri, G. Weatherly, J. Embury, The interaction of twins and precipitates in a Mg-7.7 at.% Al alloy, Philosophical Magazine A 78(5) (1998) 1137-1149.
B. Li, E. Ma, Atomic shuffling dominated mechanism for deformation twinning in magnesium, Phys Rev Lett 103(3) (2009) 035503.
Y. Zhang, Z.S. Dong, J.T. Wang, J.Q. Liu, N. Gao, T.G. Langdon, An analytical approach and experimental confirmation of dislocation–twin boundary interactions in titanium, J Mater Sci 48(13) (2013) 4476-4483.
Q. Sun, X. Fang, Y. Wang, L. Tan, X. Zhang, Changes in misorientations of {1011} twin boundaries in deformed magnesium alloy, J Mater Sci 53(10) (2018) 7834-7844.
Y. Liu, X. Chen, K. Wei, L. Xiao, B. Chen, H. Long, Y. Yu, Z. Hu, H. Zhou, Effect of Micro-Steps on Twinning and Interfacial Segregation in Mg–Ag Alloy, Materials 12(8) (2019) 1307.
M.A. Kumar, I.J. Beyerlein, C.N. Tome, Effect of local stress fields on twin characteristics in HCP metals, Acta Mater 116 (2016) 143-154.
M.A. Kumar, A.K. Kanjarla, S.R. Niezgoda, R.A. Lebensohn, C.N. Tome, Numerical study of the stress state of a deformation twin in magnesium, Acta Mater 84 (2015) 349-358.
A.K. Kanjarla, R.A. Lebensohn, L. Balogh, C.N. Tome, Study of internal lattice strain distributions in stainless steel using a full-field elasto-viscoplastic formulation based on fast Fourier transforms, Acta Mater 60(6-7) (2012) 3094-3106.
R.A. Lebensohn, A.K. Kanjarla, P. Eisenlohr, An elasto-viscoplastic formulation based on fast Fourier transforms for the prediction of micromechanical fields in polycrystalline materials, Int J Plasticity 32-33 (2012) 59-69.
G. Simmons, H. Wang, Single crystal elastic constants and calculated aggregate properties: A Handbook, MIT press 1971.
I.J. Beyerlein, R.J. McCabe, C.N. Tome, Effect of microstructure on the nucleation of deformation twins in polycrystalline high-purity magnesium: A multi-scale modeling study, J Mech Phys Solids 59(5) (2011) 988-1003.
M. Ardeljan, I.J. Beyerlein, M. Knezevic, Effect of dislocation density-twin interactions on twin growth in AZ31 as revealed by explicit crystal plasticity finite element modeling, Int J Plasticity 99 (2017) 81-101.
M. Gong, V. Taupin, L. Capolungo, The kinetics of growth of twins: 3d perspectives, (in preparation) (2019).
J.T. Lloyd, A dislocation-based model for twin growth within and across grains, P Roy Soc a-Math Phy 474(2210) (2018).
A. Serra, D.J. Bacon, A new model for {10(1)over-bar2} twin growth in hcp metals, Philos Mag A 73(2) (1996) 333-343.
F. Wang, C.D. Barrett, R.J. McCabe, H. El Kadiri, L. Capolungo, S.R. Agnew, Dislocation induced twin growth and formation of basal stacking faults in \( \left\{ {10\overline{1} 2} \right\} \) twins in pure Mg, Acta Mater 165 (2019) 471-485.
B. Xu, L. Capolungo, D. Rodney, On the importance of prismatic/basal interfaces in the growth of (1012) twins in hexagonal close packed crystals, Scripta Mater 68(11) (2013) 901-904.
C.D. Barrett, H. El Kadiri, Impact of deformation faceting on {1 0 (1)over-bar 2}, {1 0 (1)over-bar 1} and {1 0 (1)over-bar3} embryonic twin nucleation in hexagonal close-packed metals, Acta Mater 70 (2014) 137-161.
A. Ostapovets, A. Serra, Characterization of the matrix-twin interface of a (10(1)over-bar2) twin during growth, Philos Mag 94(25) (2014) 2827-2839.
Q. Sun, X. Zhang, Y. Ren, J. Tu, Q. Liu, Interfacial structure of \( \left\{ {10\overline{1} 2} \right\} \) twin tip in deformed magnesium alloy, Scripta Mater 90 (2014) 41-44.
Q. Sun, X.Y. Zhang, J. Tu, Y. Ren, H. Qin, Q. Liu, Characterization of basal-prismatic interface of {10(1)over-bar2} twin in deformed titanium by high-resolution transmission electron microscopy, Phil Mag Lett 95(3) (2015) 145-151.
Y. Liu, N. Li, S. Shao, M. Gong, J. Wang, R.J. McCabe, Y. Jiang, C.N. Tomé, Characterizing the boundary lateral to the shear direction of deformation twins in magnesium, Nat Commun 7 (2016) 11577.
M.A. Kumar, B. Clausen, L. Capolungo, R.J. McCabe, W. Liu, J.Z. Tischler, C.N. Tome, Deformation twinning and grain partitioning in a hexagonal close-packed magnesium alloy, Nat Commun 9 (2018).
M.A. Kumar, I.J. Beyerlein, R.A. Lebensohn, C.N. Tome, Modeling the effect of neighboring grains on twin growth in HCP polycrystals, Model Simul Mater Sc 25(6) (2017) Article 064007.
Acknowledgements
This work is fully funded by the U.S. Department of Energy, Office of Basic Energy Sciences Project FWP 06SCPE401. I. J. B. acknowledges financial support from the National Science Foundation (NSF CMMI-1729887). B. L. acknowledges financial support from the National Defense Science and Engineering Graduate (NDSEG) Fellowship.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 The Minerals, Metals & Materials Society
About this paper
Cite this paper
Leu, B., Arul Kumar, M., Liu, Y., Beyerlein, I.J. (2020). Deviations from Theoretical Orientation Relationship Along Tensile Twin Boundaries in Magnesium. In: Jordon, J., Miller, V., Joshi, V., Neelameggham, N. (eds) Magnesium Technology 2020. The Minerals, Metals & Materials Series. Springer, Cham. https://doi.org/10.1007/978-3-030-36647-6_20
Download citation
DOI: https://doi.org/10.1007/978-3-030-36647-6_20
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-36646-9
Online ISBN: 978-3-030-36647-6
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)