- Open Access
Atomistic study of and twin boundary migration in hexagonal close packed Zr
Phys. Rev. Materials 10, 013401 – Published 6 January, 2026
DOI: https://doi.org/10.1103/kdll-phvv
Abstract
Molecular dynamics techniques are used to investigate and twin thickening processes through spontaneous formation of twinning disconnections (TD) under applied shear deformation with a constant strain rate, based on an embedded atom method potential model of Zr. The observed stress responses and twin boundary structure changes verify that both twins thicken through TD formation. However, the thickening processes of and twins show significant differences. While TD loops were observed to form and expand during the twin thickening process, the twin boundary exhibits a more structurally disordered interface throughout the simulation, and no sharp boundary corresponding to a TD ‘loop’ can be identified. Moreover, the twin requires a much lower critical shear stress for twin thickening, approximately 10% of that for the twin. The low critical shear stress of twin thickening also indicates that these twins should grow easily once nucleated. To the extent that these results apply to hexagonal-close-packed (HCP) materials more generally, promotion of twin nucleation may be an effective way to enhance twinning deformation and twin boundary-related work hardening in HCP materials, with the potential to manipulate the balance between strength and ductility.
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References (31)
- M. H. Yoo, Slip, twinning, and fracture in hexagonal close-packed metals, Metall. Trans. A 12, 409 (1981).
- L. P. Odinokova, The role of twinning during plastic deformation of titanium, Russ. Metall. 1, 61 (1967).
- R. E. Reed-Hill and E. P. Dahlberg, Some effects of prestrain at 77 deg K on the mechanical properties of zirconium at room temperature, Electrochem. Technol. (US) Absorbed By J. Electrochem. Soc. 4, 4533902 (1966).
- J. E. C. Sabisch and A. M. Minor, Microstructural evolution of rhenium Part I: Compression, Mater. Sci. Eng. A 732, 251 (2018).
- J. E. C. Sabisch and A. M. Minor, Microstructural evolution of rhenium Part II: Tension, Mater. Sci. Eng. A 732, 259 (2018).
- J. Kacher, J. E. Sabisch, and A. M. Minor, Statistical analysis of twin/grain boundary interactions in pure rhenium, Acta Mater. 173, 44 (2019).
- J. P. Hirth, J. Wang, and C. N. Tomé, Disconnections and other defects associated with twin interfaces, Prog. Mater. Sci. 83, 417 (2016).
- A. Serra, D. J. Bacon, and R. C. Pond, The crystallography and core structure of twinning dislocations in H.C.P. metals, Acta Metall. 36, 3183 (1988).
- O. Mackain, M. Cottura, D. Rodney, and E. Clouet, Atomic-scale modeling of twinning disconnections in zirconium, Phys. Rev. B 95, 134102 (2017).
- L. Capolungo, I. J. Beyerlein, and C. N. Tomé, Slip-assisted twin growth in hexagonal close-packed metals, Scr. Mater. 60, 32 (2009).
- Y. T. Zhu, X. L. Wu, X. Z. Liao, J. Narayan, S. N. Mathaudhu, and L. J. Kecskés, Twinning partial multiplication at grain boundary in nanocrystalline fcc metals, Appl. Phys. Lett. 95, 3 (2009).
- P. B. Price, Nucleation and growth of twins in dislocation-free zinc crystals, Proc. A 260, 251 (1961).
- E. W. Kelley and W. F. Hosford, The deformation characteristics of textured magnesium, Trans. Met. Soc. AIME 242, 654 (1968).
- J. W. Christian and S. Mahajan, Deformation twinning, Prog. Mater. Sci. 39, 1 (1995).
- A. Luque, M. Ghazisaeidi, and W. A. Curtin, A new mechanism for twin growth in Mg alloys, Acta Mater. 81, 442 (2014).
- J. W. Cahn, Y. Mishin, and A. Suzuki, Duality of dislocation content of grain boundaries, Philos. Mag. 86, 3965 (2006).
- J. W. Cahn, Y. Mishin, and A. Suzuki, Coupling grain boundary motion to shear deformation, Acta Mater. 54, 4953 (2006).
- A. Suzuki and Y. M. Mishin, Atomic mechanisms of grain boundary motion, Mater. Sci. Forum 502, 157 (2005).
- D. L. Olmsted, S. M. Foiles, and E. A. Holm, Grain boundary interface roughening transition and its effect on grain boundary mobility for non-faceting boundaries, Scr. Mater. 57, 1161 (2007).
- J. Han, S. L. Thomas, and D. J. Srolovitz, Grain-boundary kinetics: A unified approach, Prog. Mater. Sci. 98, 386 (2018).
- M. I. Mendelev and G. J. Ackland, Development of an interatomic potential for the simulation of phase transformations in zirconium, Philos. Mag. Lett. 87, 349 (2007).
- S. Plimpton, Fast parallel algorithms for short-range molecular dynamics, J. Comput. Phys. 117, 1 (1995).
- G. Bussi, D. Donadio, and M. Parrinello, Canonical sampling through velocity rescaling, J. Chem. Phys. 126, 14101 (2007).
- Y. Minonishi, S. Ishioka, M. Koiwa, and S. Morozumi, The structure of {11-21} twin boundaries in HCP crystals, Phys. Status Solidi A 71, 253 (1982).
- M. De Jong, J. Kacher, M. H. F. Sluiter, L. Qi, D. L. Olmsted, A. Van De Walle, J. W. Morris, A. M. Minor, and M. Asta, Electronic origins of anomalous twin boundary energies in hexagonal close packed transition metals, Phys. Rev. Lett. 115, 065501 (2015).
- L. Jiang, V. R. Radmilović, J. E. C. Sabisch, L. Qi, A. M. Minor, D. C. Chrzan, and M. Asta, Twin nucleation from a single dislocation in hexagonal close-packed crystals, Acta Mater. 202, 35 (2021).
- A. Serra and D. J. Bacon, Computer simulation of twin boundaries in the h.c.p. metals, Philos. Mag. A 54, 793 (1986).
- A. Stukowski, Visualization and analysis of atomistic simulation data with OVITO-the open visualization tool, Modell. Simul. Mater. Sci. Eng. 18, 015012 (2010).
- K. Chen, J. Han, and D. J. Srolovitz, On the temperature dependence of grain boundary mobility, Acta Mater. 194, 412 (2020).
- A. G. Crocker and M. Bevis, The crystallography of deformation twinning in titanium, in The Science, Technology and Application of Titanium, edited by R. I. Jaffee and N. E. Promisel (Pergamon Press, Oxford, 1970), pp. 453–458.
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/kdll-phvv for details related to computing the stress of the system, observation of multiple TD loops, stress responses of the system at different applied shear strain rates, schematics of atomic shuffling required by and TD formation, shear deformation analysis induced by twin growth, twin boundary energies, additional snapshots of TD nucleation and propagation, etc.