Skip to main content
Log in

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

  • Published:
Metals and Materials International Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  1. T.M. Pollock, Science 328, 986 (2010)

    Article  Google Scholar 

  2. Q. Yu, L. Qi, K. Chen, R.K. Mishra, J. Li, A.M. Minor, Nano Lett. 12, 887 (2012)

    Article  Google Scholar 

  3. S.R. Agnew, J.F. Nie, Scripta Mater. 63, 671 (2010)

    Article  Google Scholar 

  4. C. Potzies, K.U. Kainer, Adv. Eng. Mater. 6, 281 (2004)

    Article  Google Scholar 

  5. B.L. Mordike, Mater. Sci. Eng. A 324, 103 (2002)

    Article  Google Scholar 

  6. T. Al-Samman, G. Gottstein, Mater. Sci. Eng. A 488, 406 (2008)

    Article  Google Scholar 

  7. R. von Mises, Z. Angew, Math. Mech. 8, 161 (1928)

    Google Scholar 

  8. G.I. Taylor, J. Inst. Met. 62, 307 (1938)

    Google Scholar 

  9. M. Chen, E. Ma, K.J. Hemker, H. Sheng, Y. Wang, X. Cheng, Science 300, 1275 (2003)

    Article  Google Scholar 

  10. S.R. Agnew, M.H. Yoo, C.N. Tomé, Acta Mater. 49, 4277 (2001)

    Article  Google Scholar 

  11. M.H. Yoo, J.R. Morris, K.M. Ho, S.R. Agnew, Metall. Mater. Trans. A 33, 813 (2002)

    Article  Google Scholar 

  12. S. Sandlöbes, S. Zaefferer, I. Schestakow, S. Yi, R. Gonzalez-Martinez, Acta Mater. 59, 429 (2011)

    Article  Google Scholar 

  13. X.Y. Lou, M. Li, R.K. Boger, S.R. Agnew, R.H. Wagoner, Int. J. Plast 23, 44 (2007)

    Article  Google Scholar 

  14. M.R. Barnett, Mater. Sci. Eng. A 464, 8 (2007)

    Article  Google Scholar 

  15. S.R. Agnew, J.A. Horton, M.H. Yoo, Metall. Mater. Trans. A 33, 851 (2002)

    Article  Google Scholar 

  16. Z. Drozd, Z. Trojanová, S. Kúdela, J. Alloy. Compd. 378, 192 (2004)

    Article  Google Scholar 

  17. T. Al-Samman, Acta Mater. 57, 2229 (2009)

    Article  Google Scholar 

  18. F. Kang, Z. Li, J.T. Wang, P. Cheng, H.Y. Wu, J. Mater. Sci. 47, 7854 (2012)

    Article  Google Scholar 

  19. S. Karewar, N. Gupta, S. Groh, E. Martinez, A. Caro, S.G. Srinivasan, Comput. Mater. Sci. 126, 252 (2017)

    Article  Google Scholar 

  20. B.L. Wu, Y.H. Zhao, X.H. Du, Y.D. Zhang, F. Wagner, C. Esling, Mater. Sci. Eng. A 527, 4334 (2010)

    Article  Google Scholar 

  21. S. Yi, J. Bohlen, F. Heinemann, D. Letzig, Acta Mater. 58, 592 (2010)

    Article  Google Scholar 

  22. K. Hantzsche, J. Bohlen, J. Wendt, K.U. Kainer, S.B. Yi, D. Letzig, Scripta Mater. 63, 725 (2010)

    Article  Google Scholar 

  23. 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)

    Article  Google Scholar 

  24. X. Huang, K. Suzuki, Y. Chino, Mater. Sci. Eng. A 538, 281 (2012)

    Article  Google Scholar 

  25. Y.M. Zhu, S.W. Xu, J.F. Nie, Acta Mater. 143, 1 (2018)

    Article  Google Scholar 

  26. A. Couret, D. Caillard, Acta Metall. 33, 1455 (1985)

    Article  Google Scholar 

  27. J.F. Nie, Y.M. Zhu, J.Z. Liu, X.Y. Fang, Science 340, 957 (2013)

    Article  Google Scholar 

  28. J. Han, X.M. Su, Z.-H. Jin, Y.T. Zhu, Scripta Mater. 64, 693 (2011)

    Article  Google Scholar 

  29. L. Wen, P. Chen, Z.-F. Tong, B.-Y. Tang, L.-M. Peng, W.-J. Ding, Eur. Phys. J. B 72, 397 (2009)

    Article  Google Scholar 

  30. 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)

    Article  Google Scholar 

  31. 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)

    Article  Google Scholar 

  32. J.R. Morris, J. Scharff, K.M. Ho, D.E. Turner, Y.Y. Ye, M.H. Yoo, Philos. Mag. A 76, 1065 (1997)

    Article  Google Scholar 

  33. A.E. Smith, Surf. Sci. 601, 5762 (2007)

    Article  Google Scholar 

  34. J.A. Yasi, L.G. Hector Jr., D.R. Trinkle, Acta Mater. 58, 5704 (2010)

    Article  Google Scholar 

  35. X. Wu, R. Wang, S. Wang, Appl. Surf. Sci. 256, 3409 (2010)

    Article  Google Scholar 

  36. H.-Y. Wang, N. Zhang, C. Wang, Q.-C. Jiang, Scripta Mater. 65, 723 (2011)

    Article  Google Scholar 

  37. Q. Zhang, T.-W. Fan, L. Fu, B.-Y. Tang, L.-M. Peng, W.-J. Ding, Intermetallics 29, 21 (2012)

    Article  Google Scholar 

  38. Q. Zhang, L. Fu, T.-W. Fan, B.-Y. Tang, L.-M. Peng, W.-J. Ding, Phys. B 416, 39 (2013)

    Article  Google Scholar 

  39. 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)

    Article  Google Scholar 

  40. M. Yuasa, Y. Chino, M. Mabuchi, J. Mater. Res. 29, 2576 (2014)

    Article  Google Scholar 

  41. C. Wang, H. Wang, T. Huang, X. Xue, F. Qiu, Q. Jiang, Sci. Rep. 5, 10213 (2015)

    Article  Google Scholar 

  42. J. Zhang, G. Liu, X. Wei, Mater. Lett. 150, 111 (2015)

    Article  Google Scholar 

  43. J. Zhang, Y. Dou, Y. Zheng, Scripta Mater. 80, 17 (2014)

    Article  Google Scholar 

  44. J.R. Morris, Y. Ye, M.H. Yoo, Philos. Mag. 85, 233 (2005)

    Article  Google Scholar 

  45. B. Li, E. Ma, Acta Mater. 57, 1734 (2009)

    Article  Google Scholar 

  46. B. Li, E. Ma, Phys. Rev. Lett. 103, 035503 (2009)

    Article  Google Scholar 

  47. J. Wang, J.P. Hirth, C.N. Tomé, Acta Mater. 57, 5521 (2009)

    Article  Google Scholar 

  48. J. Wang, R.G. Hoagland, J.P. Hirth, L. Capolungo, I.J. Beyerlein, C.N. Tomé, Scripta Mater. 61, 903 (2009)

    Article  Google Scholar 

  49. Y. Wang, L.-Q. Chen, Z.-K. Liu, S.N. Mathaudhu, Scripta Mater. 62, 646 (2010)

    Article  Google Scholar 

  50. J. Wang, I.J. Beyerlein, C.N. Tomé, Scripta Mater. 63, 741 (2010)

    Article  Google Scholar 

  51. J. Wang, I.J. Beyerlein, J.P. Hirth, C.N. Tomé, Acta Mater. 59, 3990 (2011)

    Article  Google Scholar 

  52. N.J. Lane, S.I. Simak, A.S. Mikhaylushkin, I.A. Abrikosov, L. Hultman, M.W. Barsoum, Phys. Rev. B 84, 184101 (2011)

    Article  Google Scholar 

  53. D. Matsunaka, A. Kanoh, Y. Shibutani, Mater. Trans. 54, 1524 (2013)

    Article  Google Scholar 

  54. L. Leclercq, L. Capolungo, D. Rodney, Mater. Res. Lett. 2, 152 (2014)

    Article  Google Scholar 

  55. I. Shin, E.A. Carter, Acta Mater. 64, 198 (2014)

    Article  Google Scholar 

  56. I. Shin, E.A. Carter, Int. J. Plast 60, 58 (2014)

    Article  Google Scholar 

  57. A. Kumar, J. Wang, C.N. Tomé, Acta Mater. 85, 144 (2015)

    Article  Google Scholar 

  58. G. Xi, J. Zhang, C. Fang, Mater. Lett. 182, 198 (2016)

    Article  Google Scholar 

  59. H. Somekawa, T. Tsuru, Scripta Mater. 130, 114 (2017)

    Article  Google Scholar 

  60. 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)

    Article  Google Scholar 

  61. M.L. Kronberg, Acta Metall. 16, 29 (1968)

    Article  Google Scholar 

  62. I. Kim, J. Kim, D.H. Shin, X.Z. Liao, Y.T. Zhu, Scripta Mater. 48, 813 (2003)

    Article  Google Scholar 

  63. Y.J. Li, Y.J. Chen, J.C. Walmsley, R.H. Mathinsen, S. Dumoulin, H.J. Roven, Scripta Mater. 62, 443 (2010)

    Article  Google Scholar 

  64. C.M. Bishop, W.C. Carter, Comput. Mater. Sci. 25, 378 (2002)

    Article  Google Scholar 

  65. K. Lejaeghere, V.V. Speybroeck, G.V. Oost, S. Cottenier, Crit. Rev. Solid State Mater. Sci. 39, 1 (2014)

    Article  Google Scholar 

  66. G. Soto, M. Moreno-Armenta, A. Reyes-Serrato, Comput. Mater. Sci. 42, 8 (2008)

    Article  Google Scholar 

  67. B.J. Min, K.-M. Ho, Phys. Rev. B 40, 7532 (1989)

    Article  Google Scholar 

  68. M. Zhao, Y. Xia, X. Liu, Z. Tan, B. Huang, F. Li, Y. Ji, C. Song, Phys. Lett. A 340, 434 (2005)

    Article  Google Scholar 

  69. M. Khantha, N.A. Cordero, L.M. Molina, J.A. Alonso, L.A. Girifalco, Phys. Rev. B 70, 125422 (2004)

    Article  Google Scholar 

  70. P. Villars, J.L.C. Daams, J. Alloys Compd. 197, 177 (1993)

    Article  Google Scholar 

  71. C. Kittel, Introduction to Solid State Physics, 8th edn. (Wiley, New York, 2005)

    Google Scholar 

  72. 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)

    Article  Google Scholar 

  73. J.M. Soler, E. Artacho, J.D. Gale, A. García, J. Junquera, P. Ordejón, D. Sánchez-Portal, J. Phys. Condens. Matter 14, 2745 (2002)

    Article  Google Scholar 

  74. J.P. Perdew, K. Burke, M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996)

    Article  Google Scholar 

  75. J. Junquera, O. Paz, D. Sánchez-Portal, E. Artacho, Phys. Rev. B 64, 235111 (2001)

    Article  Google Scholar 

  76. N. Troullier, J.L. Martins, Phys. Rev. B 43, 1993 (1991)

    Article  Google Scholar 

  77. H. Zhao, G. Qin, Y. Ren, W. Pei, D. Chen, Y. Guo, J. Alloys Compd. 509, 627 (2011)

    Article  Google Scholar 

  78. J.-J. Tang, X.-B. Yang, L. OuYang, M. Zhu, Y.-J. Zhao, J. Phys. D 47, 115305 (2014)

    Article  Google Scholar 

Download references

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

Authors

Corresponding author

Correspondence to Eok Kyun Lee.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

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

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12540-018-0091-x

Keywords

Navigation