Abstract
The stress normal and tangenital components arise in grain-boundary segments differently oriented with respect to an external periodic load, causing the fluxes of vacancies and impurity atoms between neighboring segments. By solving the diffusion problem, one can find the velocity of mutual displacement of grains, the stress distribution in the segments with allowance for stress adjustment, and the amount of internal friction. The frequency dependence of the internal friction shows peaks associated with the redistribution of impurity atoms over the segments, grain sliding, and a high-temperature background.
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References
R. Z. Valiev and I. V. Aleksandrov, Nanostructured Materials Produced by Intense Plastic Deformation (Logos, Moscow, 2000) [in Russian].
R. A. Masumura and I. A. Ovid’ko, Mater. Phys. Mech. 1, 31 (2000).
A. A. Nazarov, Fiz. Tverd. Tela (St. Petersburg) 45, 1112 (2003) [Phys. Solid State 45, 1166 (2003)].
A. I. Gusev, Nanomaterials, Nanostructures, and Nanotechnologies (Fizmatlit, Moscow, 2005) [in Russian].
V. M. Segal, V. I. Reznikov, V. I. Kopylov, and D. A. Pavlik, Plastic Structuring in Metals (Navuka i Tekhnika, Minsk, 1994) [in Russian].
H. Gleiter, Prog. Mater. Sci. 33, 223 (1989).
R. A. Andrievskiĭ and A. M. Glezer, Fiz. Met. Metalloved. 88, 50 (1999).
V. G. Gryaznov and L. I. Trusov, Prog. Mater. Sci. 37, 289 (1993).
F. Tang, H. Tanhnoto, and S. Okuda, Nanostruct. Mater. 6, 563 (1995).
W. N. Weins, J. D. Makinson, R. J. De Angelis, et al., Nanostruct. Mater. 9, 509 (1997).
M. Yu. Gutkin and I. A. Ovidko, Usp. Mekh., No. 1, 68 (2003).
E. Bonetti, L. Pasquini, and E. Sampaolesi, Nanostruct. Mater. 10, 437 (1998).
B. Cai, Q. P. Kong, P. Cui, et al., Scr. Mater. 44, 1043 (2001).
R. Mulyukov, M. Weller, R. Valiev, et al., Nanostruct. Mater. 6, 577 (1995).
E. Bonetti, E. G. Campari, L. Del Bianco, et al., Nanostruct. Mater. 6, 639 (1995).
V. P. Levin and V. B. Proskurin, Dislocation Inelasticity in Metals (Nauka, Moscow, 1993) [in Russian].
V. G. Kulkov, Izv. Vyssh. Uchebn. Zaved., Fiz. 48(11), 39 (2005).
V. G. Kulkov, Kondens. Sredy Mezhfaznye Granitsy 3(1), 373 (2001).
A. S. Nowick and B. S. Berry, Inelastic Relaxation in Crystalline Solids (Academic, New York, 1972; Atomizdat, Moscow, 1975).
I. V. Zolotukhin and Yu. E. Kalinin, Fiz. Tverd. Tela (St. Petersburg) 37, 536 (1995) [Phys. Solid State 37, 290 (1995)].
V. G. Kul’kov and M. G. Zhikhareva, Deform. Razrush. Mater., No. 1, 46 (2005).
V. G. Kul’kov, Pis’ma Zh. Tekh. Fiz. 31(8), 32 (2005) [Tech. Phys. Lett. 31, 329 (2005)].
V. N. Chuvildeev, Nonequilibrium Grain Boundaries in Metals: Theory and Application (Fizmatlit, Moscow, 2004) [in Russian].
Internal Friction in Materials Science, M. S. Blanter and Yu. V. Piguzov, Eds. (Metallurgiya, Moscow, 1991) [in Russian].
V. G. Kulkov, Izv. Vyssh. Uchebn. Zaved., Fiz. 48(4), 93 (2005).
V. N. Perevezentsev, V. V. Rybin, and V. N. Chuvildeev, Poverkhnost, No. 11, 101 (1985).
B. M. Darinskiĭ and Yu. A. Fedorov, Fiz. Tverd. Tela (Leningrad) 34, 2053 (1992) [Sov. Phys. Solid State 34, 1097 (1992)].
B. M. Darinskiĭ and V. G. Kul’kov, Poverkhnost, No. 5, 153 (1993).
V. G. Kul’kov, Vestn. Mosk. Energ. Inst., No. 5, 96 (2005).
V. G. Kul’kov, Pis’ma Zh. Tekh. Fiz. 18(2), 65 (1992) [Sov. Tech. Phys. Lett. 18, 50 (1992)].
I. V. Zolotukhin, Yu. E. Kalinin, and N. P. Samtsova, Izv. Ross. Akad. Nauk, Ser. Fiz. 60(9), 134 (1996).
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Original Russian Text © V.G. Kul’kov, 2007, published in Zhurnal Tekhnicheskoĭ Fiziki, 2007, Vol. 77, No. 3, pp. 43–48.
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Kul’kov, V.G. Diffusion model of internal friction in nanocrystalline materials. Tech. Phys. 52, 333–338 (2007). https://doi.org/10.1134/S1063784207030085
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DOI: https://doi.org/10.1134/S1063784207030085