Abstract
We investigate the energetics involved in the \(\left( {10\bar{1}2} \right)\left[ {\bar{1}011} \right]\) tension and \(\left( {10\bar{1}1} \right)\left[ {\bar{1}012} \right]\) compression twinning deformation processes in magnesium via first-principles studies. Through identification of structural changes associated with each deformation process, we study the energetics of each deformation process and the local instability in the twin boundary region. We observe that the energy barrier in the \(\left( {10\bar{1}1} \right)\left[ {\bar{1}012} \right]\) compression twinning deformation pathway is higher than that in the \(\left( {10\bar{1}2} \right)\left[ {\bar{1}011} \right]\) tension twinning deformation pathway, even though the \(\left( {10\bar{1}1} \right)\) compression twin boundary is more stable than the \(\left( {10\bar{1}2} \right)\) tension twin boundary. We extend our study to examine the effects of Y and Li as alloying elements on each twinning deformation process. Our calculations predict that the addition of Y causes a reduction in the probability of fracture by an order of magnitude when the twinning deformation occurs and weakening of the resistivity to twinning deformation. However, the effect of Li addition on the twinning deformations is weaker than that of Y addition.
Similar content being viewed by others
References
T.M. Pollock, Science 328, 986 (2010)
Q. Yu, L. Qi, K. Chen, R.K. Mishra, J. Li, A.M. Minor, Nano Lett. 12, 887 (2012)
S.R. Agnew, J.F. Nie, Scripta Mater. 63, 671 (2010)
C. Potzies, K.U. Kainer, Adv. Eng. Mater. 6, 281 (2004)
B.L. Mordike, Mater. Sci. Eng. A 324, 103 (2002)
T. Al-Samman, G. Gottstein, Mater. Sci. Eng. A 488, 406 (2008)
R. von Mises, Z. Angew, Math. Mech. 8, 161 (1928)
G.I. Taylor, J. Inst. Met. 62, 307 (1938)
M. Chen, E. Ma, K.J. Hemker, H. Sheng, Y. Wang, X. Cheng, Science 300, 1275 (2003)
S.R. Agnew, M.H. Yoo, C.N. Tomé, Acta Mater. 49, 4277 (2001)
M.H. Yoo, J.R. Morris, K.M. Ho, S.R. Agnew, Metall. Mater. Trans. A 33, 813 (2002)
S. Sandlöbes, S. Zaefferer, I. Schestakow, S. Yi, R. Gonzalez-Martinez, Acta Mater. 59, 429 (2011)
X.Y. Lou, M. Li, R.K. Boger, S.R. Agnew, R.H. Wagoner, Int. J. Plast 23, 44 (2007)
M.R. Barnett, Mater. Sci. Eng. A 464, 8 (2007)
S.R. Agnew, J.A. Horton, M.H. Yoo, Metall. Mater. Trans. A 33, 851 (2002)
Z. Drozd, Z. Trojanová, S. Kúdela, J. Alloy. Compd. 378, 192 (2004)
T. Al-Samman, Acta Mater. 57, 2229 (2009)
F. Kang, Z. Li, J.T. Wang, P. Cheng, H.Y. Wu, J. Mater. Sci. 47, 7854 (2012)
S. Karewar, N. Gupta, S. Groh, E. Martinez, A. Caro, S.G. Srinivasan, Comput. Mater. Sci. 126, 252 (2017)
B.L. Wu, Y.H. Zhao, X.H. Du, Y.D. Zhang, F. Wagner, C. Esling, Mater. Sci. Eng. A 527, 4334 (2010)
S. Yi, J. Bohlen, F. Heinemann, D. Letzig, Acta Mater. 58, 592 (2010)
K. Hantzsche, J. Bohlen, J. Wendt, K.U. Kainer, S.B. Yi, D. Letzig, Scripta Mater. 63, 725 (2010)
S. Sandlöbes, M. Friák, S. Zaefferer, A. Dick, S. Yi, D. Letzig, Z. Pei, L.-F. Zhu, J. Neugebauer, D. Raabe, Acta Mater. 60, 3011 (2012)
X. Huang, K. Suzuki, Y. Chino, Mater. Sci. Eng. A 538, 281 (2012)
Y.M. Zhu, S.W. Xu, J.F. Nie, Acta Mater. 143, 1 (2018)
A. Couret, D. Caillard, Acta Metall. 33, 1455 (1985)
J.F. Nie, Y.M. Zhu, J.Z. Liu, X.Y. Fang, Science 340, 957 (2013)
J. Han, X.M. Su, Z.-H. Jin, Y.T. Zhu, Scripta Mater. 64, 693 (2011)
L. Wen, P. Chen, Z.-F. Tong, B.-Y. Tang, L.-M. Peng, W.-J. Ding, Eur. Phys. J. B 72, 397 (2009)
Z. Pei, L.-F. Zhu, M. Friák, S. Sandlöbes, J. von Pezold, H.W. Sheng, C.P. Race, S. Zaefferer, B. Svendsen, D. Raabe, J. Neugebauer, New J. Phys. 15, 043020 (2013)
S.L. Shang, W.Y. Wang, B.C. Zhou, Y. Wang, K.A. Darling, L.J. Kecskes, S.N. Mathaudhu, Z.K. Liu, Acta Mater. 67, 168 (2014)
J.R. Morris, J. Scharff, K.M. Ho, D.E. Turner, Y.Y. Ye, M.H. Yoo, Philos. Mag. A 76, 1065 (1997)
A.E. Smith, Surf. Sci. 601, 5762 (2007)
J.A. Yasi, L.G. Hector Jr., D.R. Trinkle, Acta Mater. 58, 5704 (2010)
X. Wu, R. Wang, S. Wang, Appl. Surf. Sci. 256, 3409 (2010)
H.-Y. Wang, N. Zhang, C. Wang, Q.-C. Jiang, Scripta Mater. 65, 723 (2011)
Q. Zhang, T.-W. Fan, L. Fu, B.-Y. Tang, L.-M. Peng, W.-J. Ding, Intermetallics 29, 21 (2012)
Q. Zhang, L. Fu, T.-W. Fan, B.-Y. Tang, L.-M. Peng, W.-J. Ding, Phys. B 416, 39 (2013)
W.Y. Wang, S.L. Shang, Y. Wang, Z.-G. Mei, K.A. Darling, L.J. Kecskes, S.N. Mathaudhu, X.D. Hui, Z.-K. Liu, Mater. Res. Lett. 2, 29 (2014)
M. Yuasa, Y. Chino, M. Mabuchi, J. Mater. Res. 29, 2576 (2014)
C. Wang, H. Wang, T. Huang, X. Xue, F. Qiu, Q. Jiang, Sci. Rep. 5, 10213 (2015)
J. Zhang, G. Liu, X. Wei, Mater. Lett. 150, 111 (2015)
J. Zhang, Y. Dou, Y. Zheng, Scripta Mater. 80, 17 (2014)
J.R. Morris, Y. Ye, M.H. Yoo, Philos. Mag. 85, 233 (2005)
B. Li, E. Ma, Acta Mater. 57, 1734 (2009)
B. Li, E. Ma, Phys. Rev. Lett. 103, 035503 (2009)
J. Wang, J.P. Hirth, C.N. Tomé, Acta Mater. 57, 5521 (2009)
J. Wang, R.G. Hoagland, J.P. Hirth, L. Capolungo, I.J. Beyerlein, C.N. Tomé, Scripta Mater. 61, 903 (2009)
Y. Wang, L.-Q. Chen, Z.-K. Liu, S.N. Mathaudhu, Scripta Mater. 62, 646 (2010)
J. Wang, I.J. Beyerlein, C.N. Tomé, Scripta Mater. 63, 741 (2010)
J. Wang, I.J. Beyerlein, J.P. Hirth, C.N. Tomé, Acta Mater. 59, 3990 (2011)
N.J. Lane, S.I. Simak, A.S. Mikhaylushkin, I.A. Abrikosov, L. Hultman, M.W. Barsoum, Phys. Rev. B 84, 184101 (2011)
D. Matsunaka, A. Kanoh, Y. Shibutani, Mater. Trans. 54, 1524 (2013)
L. Leclercq, L. Capolungo, D. Rodney, Mater. Res. Lett. 2, 152 (2014)
I. Shin, E.A. Carter, Acta Mater. 64, 198 (2014)
I. Shin, E.A. Carter, Int. J. Plast 60, 58 (2014)
A. Kumar, J. Wang, C.N. Tomé, Acta Mater. 85, 144 (2015)
G. Xi, J. Zhang, C. Fang, Mater. Lett. 182, 198 (2016)
H. Somekawa, T. Tsuru, Scripta Mater. 130, 114 (2017)
S.H. Zhang, I.J. Beyerlein, D. Legut, Z.H. Fu, Z. Zhang, S.L. Shang, Z.K. Liu, T.C. Germann, R.F. Zhang, Phys. Rev. B 95, 224106 (2017)
M.L. Kronberg, Acta Metall. 16, 29 (1968)
I. Kim, J. Kim, D.H. Shin, X.Z. Liao, Y.T. Zhu, Scripta Mater. 48, 813 (2003)
Y.J. Li, Y.J. Chen, J.C. Walmsley, R.H. Mathinsen, S. Dumoulin, H.J. Roven, Scripta Mater. 62, 443 (2010)
C.M. Bishop, W.C. Carter, Comput. Mater. Sci. 25, 378 (2002)
K. Lejaeghere, V.V. Speybroeck, G.V. Oost, S. Cottenier, Crit. Rev. Solid State Mater. Sci. 39, 1 (2014)
G. Soto, M. Moreno-Armenta, A. Reyes-Serrato, Comput. Mater. Sci. 42, 8 (2008)
B.J. Min, K.-M. Ho, Phys. Rev. B 40, 7532 (1989)
M. Zhao, Y. Xia, X. Liu, Z. Tan, B. Huang, F. Li, Y. Ji, C. Song, Phys. Lett. A 340, 434 (2005)
M. Khantha, N.A. Cordero, L.M. Molina, J.A. Alonso, L.A. Girifalco, Phys. Rev. B 70, 125422 (2004)
P. Villars, J.L.C. Daams, J. Alloys Compd. 197, 177 (1993)
C. Kittel, Introduction to Solid State Physics, 8th edn. (Wiley, New York, 2005)
G.I. Csonka, J.P. Perdew, A. Ruzsinszky, P.H.T. Philipsen, S. Lebègue, J. Paier, O.A. Vydrov, J.G. Ángyán, Phys. Rev. B 79, 155107 (2009)
J.M. Soler, E. Artacho, J.D. Gale, A. García, J. Junquera, P. Ordejón, D. Sánchez-Portal, J. Phys. Condens. Matter 14, 2745 (2002)
J.P. Perdew, K. Burke, M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996)
J. Junquera, O. Paz, D. Sánchez-Portal, E. Artacho, Phys. Rev. B 64, 235111 (2001)
N. Troullier, J.L. Martins, Phys. Rev. B 43, 1993 (1991)
H. Zhao, G. Qin, Y. Ren, W. Pei, D. Chen, Y. Guo, J. Alloys Compd. 509, 627 (2011)
J.-J. Tang, X.-B. Yang, L. OuYang, M. Zhu, Y.-J. Zhao, J. Phys. D 47, 115305 (2014)
Acknowledgements
This work was supported by Korea Advanced Institute of Science and Technology (KAIST), College of Natural Science, Research Enhancement Support Program under Grant No. A0702001005.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kim, W.J., Han, K.H., Lee, Y.J. et al. First-Principles Studies on Twinnability of Magnesium Alloys: Effects of Yttrium and Lithium on \(\left( {10\bar{1}1} \right)\left[ {\bar{1}012} \right]\) Compression Twinning Deformation Processes. Met. Mater. Int. 24, 720–729 (2018). https://doi.org/10.1007/s12540-018-0091-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12540-018-0091-x