Skip to main content

Measurement of Twin Formation Energy Barriers Using Nudged Elastic Band Molecular Statics

  • Conference paper
  • First Online:
Magnesium Technology 2018 (TMS 2018)

Part of the book series: The Minerals, Metals & Materials Series ((MMMS))

Included in the following conference series:

Abstract

The nudged elastic band (NEB) method [1, 2] is used to find the energy barrier separating stable twinned and untwinned states in Magnesium. This technique enables identification of the minimum energy path between the two stable states. The effects of dislocations, grain boundaries, and other defects which enhance twin nucleation produce a measurable effect on the minimum energy path [3, 4] and energy barrier. Thus, the NEB technique enables direct comparisons of the material twin-ability under a variety of boundary conditions. By simulating twinning in a variety of boundary conditions, NEB calculations provide key insight into the twin nucleation process by demonstrating both what defect arrangements encourage twin nucleation, and how likely twinning is to occur under given boundary conditions. This data is crucial for incorporating twin nucleation accurately into higher scale modeling.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 119.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Christopher D. Barrett, Haitham El Kadiri; Fundamentals of mobile tilt grain boundary faceting; Scripta Materialia, Volumes 84–85, 2014

    Google Scholar 

  2. Ivan Milas, Berit Hinnemann, Emily A. Carter; Diffueion of Al, O, Pt, Hf and Y atoms on α-Al2O3 (0001): Implications for the role of alloying elements in thermal barrier coatings; Journal of Materials Chemistry, 2011

    Google Scholar 

  3. Graeme Henkelman, Blas P. Uberuaga, Hannes Jonsson; A climbing image nudged elastic band method for finding saddle points and minimum energy paths; Journal of Chemical Physics, Volume 113, 2000

    Google Scholar 

  4. Graeme Henkelman, Hannes Jonsson; Improved tangent estimate in the nudged elastic band method for finding saddle points and minimum energy paths; Journal of Chemical Physics, Volume 113, 2000

    Google Scholar 

  5. Haitham El Kadiri, Christopher D. Barrett, Mark A. Tschoop; The candidacy of shuffle and shear during compound twinning in hexagonal close packed structures; Acta Materialia, Volume 61, 2013

    Google Scholar 

  6. Haitham El Kadiri, Christopher D. Barrett, Jian Wang, Carlos N. Tome; Why are {10-12} twins profuse in magnesium? Acta Materialia, Volume 85, 2015

    Google Scholar 

  7. OVITO 2017; https://ovito.org

  8. Haitham El Kadiri, J. Kapil, A. L. Oppedal, L. G. Hector Jr, Sean R. Agnew, M. Cherkaoui, S. C. Vogel; The effect of twin-twin interactions on the nucleation and propagation of {10-12} twinning in magnesium; Acta Materialia, Volume 61, 2013

    Google Scholar 

  9. Pierre-Antoine Geslin, Riccardo Gatti, Benoit Devincre, David Rodney; Implementation of the nudged elastic band method in a dislocation dynamics formalism: Application to dislocation nucleation; Journal of the Mechanics and Physics of Solids, Volume 108, 2017

    Google Scholar 

  10. Cameron Sobie, Laurent Capolungo, David L. McDowell, Enrique Martinez; Scale transition using dislocation dynamics and the nudged elastic band method; Journal of the Mechanics and Physics of Solids, Volume 105, 2017

    Google Scholar 

  11. Hannes Jonsson, Greg Mills and Karsten W. Jacobsen; Nudged elastic band method for finding minimum energy paths of transition; http://theory.cm.utexas.edu/henkelman/pubs/jonsson98_385.pdf

  12. Hong Qin, John J. Jonas, Hongbing Yu, Nicolas Brodusch, Raynald Gauvin, Xiyan Zhang; Initiation and accommodation of primary twin in high-purity titanium; Acta Materialia, Volume 71, 2014

    Google Scholar 

  13. Christopher D. Barrett, Haitham El Kadiri; Impact of deformation faceting on {10-12}, {10-11} and {10-13} embryonic twin nucleation in hexagonal close-packed metals; Acta Materialia; Volume 70, 2014

    Google Scholar 

  14. Hong Yang, Bin Jiang, Junjie He, Zhongtao Jiang, Jianyue Zhang, Fusheng Pan; {10-12} twinning behavior in magnesium bicrystal; Journal of Alloys and Compounds, Volume 725, 2017

    Google Scholar 

  15. LAMMPS molecular dynamics simulator software; http://lammps.sandia.gov

  16. Daniel Sheppard, Rye Terrell, Graeme Henkelman; Optimization methods for finding minimum energy paths; The journal of Chemical Physics, Volume 128, 2008

    Google Scholar 

  17. Christopher D. Barrett, Haitham El Kadiri; The roles of grain boundary dislocations and disclinations in the nucleation of {10-12} twinning; Acta Materialia, Volume 63, 2014

    Google Scholar 

  18. G. Kresse, J. Furthmuller; Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set; Computational Material Science, Volume 6, 1996

    Google Scholar 

  19. M. S. Hooshmand, M. J. Mills, M. Ghazisaeid; Atomistic modeling of dislocation interactions with twin boundaries in Ti; Modeling and Simulation in Materials Science and Engineering, Volume 25, 2017

    Google Scholar 

  20. M. Ghazisaeid, W, A. Curtin; Analysis of dissociation of <c> and <c+a> dislocations to nucleate (10-12) twins in Mg; Modeling and Simulation in Materials Science and Engineering, Volume 21, 2013

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Deepesh Giri .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 The Minerals, Metals & Materials Society

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Giri, D., Barrett, C., Kadiri, H.E. (2018). Measurement of Twin Formation Energy Barriers Using Nudged Elastic Band Molecular Statics. In: Orlov, D., Joshi, V., Solanki, K., Neelameggham, N. (eds) Magnesium Technology 2018. TMS 2018. The Minerals, Metals & Materials Series. Springer, Cham. https://doi.org/10.1007/978-3-319-72332-7_36

Download citation

Publish with us

Policies and ethics