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.
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References
Christopher D. Barrett, Haitham El Kadiri; Fundamentals of mobile tilt grain boundary faceting; Scripta Materialia, Volumes 84–85, 2014
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
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
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
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
Haitham El Kadiri, Christopher D. Barrett, Jian Wang, Carlos N. Tome; Why are {10-12} twins profuse in magnesium? Acta Materialia, Volume 85, 2015
OVITO 2017; https://ovito.org
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
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
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
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
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
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
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
LAMMPS molecular dynamics simulator software; http://lammps.sandia.gov
Daniel Sheppard, Rye Terrell, Graeme Henkelman; Optimization methods for finding minimum energy paths; The journal of Chemical Physics, Volume 128, 2008
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
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
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
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
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© 2018 The Minerals, Metals & Materials Society
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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
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DOI: https://doi.org/10.1007/978-3-319-72332-7_36
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