Abstract
A theoretical model is proposed to describe the nucleation of deformation twins at grain boundaries in nanocrystalline materials under the action of an applied stress and the stress field of a dipole of junction or grain-boundary wedge disclinations. The model is used to consider pure nanocrystalline aluminum and copper with an average grain size of about 30 nm. The conditions of barrier-free twinning-dislocation nucleation are studied. These conditions are shown to be realistic for the metals under study. As the twin-plate thickness increases, one observes two stages of local hardening and an intermediate stage of local flow of a nanocrystalline metal on the scale of one nanograin. In all stages, the critical stress increases with decreasing disclination-dipole strength. The equilibrium thickness and shape of the twin plate are analyzed and found to agree well with the well-known results of experimental observations.
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References
R. Z. Valiev and I. V. Aleksandrov, Nanostructured Materials Prepared under Severe Plastic Deformation (Logos, Moscow, 2000) [in Russian].
A. I. Gusev and A. A. Rempel, Nanocrystalline Materials (Fizmatlit, Moscow, 2000; Cambridge International Science, Cambridge, 2004).
K. A. Padmanabhan, Mater. Sci. Eng., A 304–306, 200 (2000).
M. Yu. Gutkin and I. A. Ovid’ko, Physical Mechanics of Deformed Nanostructures, Vol. 1: Nanocrystalline Materials (Yanus, St. Petersburg, 2003) [in Russian].
V. A. Pozdnyakov and A. M. Glezer, Fiz. Tverd. Tela (St. Petersburg) 47(5), 793 (2005) [Phys. Solid State 47 (5), 817 (2005)].
B. I. Smirnov, V. V. Shpeĭzman, and V. I. Nikolaev, Fiz. Tverd. Tela (St. Petersburg) 47(5), 816 (2005) [Phys. Solid State 47 (5), 840 (2005)].
B. Q. Han, E. Lavernia, and F. A. Mohamed, Rev. Adv. Mater. Sci. 9, 1 (2005).
I. A. Ovid’ko, Rev. Adv. Mater. Sci. 10, 89 (2005).
D. Wolf, V. Yamakov, S. R. Phillpot, A. K. Mukherjee, and H. Gleiter, Acta Mater. 53, 1 (2005).
M. W. Chen, E. Ma, K. J. Hemker, H. W. Sheng, Y. M. Wang, and X. M. Cheng, Science (Washington) 300, 1275 (2003).
X. Z. Liao, F. Zhou, E. J. Lavernia, S. G. Srinivasan, M. I. Baskes, D. W. He, and Y. T. Zhu, Appl. Phys. Lett. 83, 632 (2003).
X. Z. Liao, F. Zhou, E. J. Lavernia, D. W. He, and Y. T. Zhu, Appl. Phys. Lett. 83, 5062 (2003).
Y. T. Zhu, X. Z. Liao, S. G. Srinivasan, and E. J. Lavernia, Appl. Phys. Lett. 98, 0343191 (2005).
X. Z. Liao, F. Zhou, S. G. Srinivasan, Y. T. Zhu, R. Z. Valiev, and D. V. Gunderov, Appl. Phys. Lett. 84, 592 (2004).
G. B. Olson and M. Cohen, Metall. Trans. A 7, 1897 (1976).
J. P. Hirth and J. Lothe, Theory of Dislocations (McGraw-Hill, New York, 1968; Atomizdat, Moscow, 1972).
V. V. Rybin, Severe Plastic Deformations and Fracture of Metals (Metallurgiya, Moscow, 1986) [in Russian].
V. I. Vladimirov and A. E. Romanov, Disclinations in Crystals (Nauka, Leningrad, 1986) [in Russian].
M. Murayama, J. M. Howe, H. Hidaka, and S. Takaki, Science (Washington) 295, 2433 (2002).
M. Yu. Gutkin, I. A. Ovid’ko, and N. V. Skiba, Fiz. Tverd. Tela (St. Petersburg) 46(11), 1975 (2004) [Phys. Solid State 46 (11), 2042 (2004)].
S. V. Bobylev, M. Yu. Gutkin, and I. A. Ovid’ko, Acta Mater. 52, 3793 (2004).
M. Yu. Gutkin, I. A. Ovid’ko, and N. V. Skiba, J. Phys. D: Appl. Phys. 38, 3921 (2005).
S. V. Bobylev, M. Yu. Gutkin, and I. A. Ovid’ko, Phys. Rev. B: Condens. Matter 73, 064102 (2006).
R. J. Asaro and S. Suresh, Acta Mater. 53, 3369 (2005).
K. N. Mikaelyan, M. Seefeldt, M. Yu. Gutkin, P. Klimanek, and A. E. Romanov, Fiz. Tverd. Tela (St. Petersburg) 45(11), 2002 (2003) [Phys. Solid State 45 (11), 2104 (2003)].
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Original Russian Text © M.Yu. Gutkin, I.A. Ovid’ko, N.V. Skiba, 2007, published in Fizika Tverdogo Tela, 2007, Vol. 49, No. 5, pp. 830–838.
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Gutkin, M.Y., Ovid’ko, I.A. & Skiba, N.V. Mechanism of deformation-twin formation in nanocrystalline metals. Phys. Solid State 49, 874–882 (2007). https://doi.org/10.1134/S1063783407050125
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DOI: https://doi.org/10.1134/S1063783407050125