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IssuesArchive of Issues2005-3pp.67-82

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A. A. Gorshkov, V. A. Lomovskoi, and E. N. Polyvanaya, "Regions of local inelasticity and dissipative phenomena in some boron systems," Mech. Solids. 40 (3), 67-82 (2005)
Year 2005 Volume 40 Number 3 Pages 67-82
Title Regions of local inelasticity and dissipative phenomena in some boron systems
Author(s) A. A. Gorshkov (Moscow)
V. A. Lomovskoi (Moscow)
E. N. Polyvanaya (Moscow)
Abstract This paper considers some possibilities of applying phenomenological models for the description of internal friction spectra from the standpoint of discrete structure of the system under investigation. This study is carried out for a special case of boron systems, with the inelasticity relations being applied to each local dissipative process.

One of the manifestations of inelasticity is the decay of elastic vibrations excited in the medium under investigation and the dependence of the elastic moduli on the frequency of external forces having constant amplitude. The methods for the investigation of internal friction spectra depending on the parameters of the transfer functions and recalculation formulas are described in [1-3].
References
1.  A. A. Gorshkov, A. D. Gruskov, and V. A. Lomovskoi, "Relaxation spectrometry as a method for the investigation of physical-mechanical material characteristics," in Fifth Intern. Symposium "Dynamics and Technology Issues in Mechanics of Structures and Continua" [in Russian], pp. 90-103, Grafros, Moscow, 1999.
2.  V. S. Postnikov, Internal Friction in Metals [in Russian], Metallurgia, Moscow, 1969.
3.  S. Siener, "Elasticity and inelasticity of metals," in Elasticity and Inelasticity of Metals [Russian translation], pp. 9-168, Izd-vo Inostr. Lit-ry, Moscow, 1954.
4.  G. M. Dugladze, G. Sh. Darsavelidze, G. V. Tsagareishvili, and F. N. Tavadze, "Internal friction in boron fibers," in Proceedings of the All-Union Meeting "Mechanisms of Internal Friction in Solids" [in Russian], pp. 66-68, Nauka, Moscow, 1976.
5.  R. A. Khachapuridze, G. Sh. Darsavelidze, G. F. Tavadze, G. V. Tsagareishvili, and F. N. Tavadze, "Spectrum of internal friction in β-rhombohedral boron", in Proceeding of the All-Union Meeting "Mechanism of Internal Friction in Solids" [in Russian], pp. 63-66, Nauka, Moscow, 1976.
6.  A. A. Gorshkov, A. D. Guskov, V. A. Lomovskoi, and Z. I. Fomkina, "Phenomenological description of inelasticity phenomena in compounds," in 7-th Intern. Symposium "Dynamics and Technology Issues in Mechanics of Structures and Continua" [in Russian], pp. 106-113, MAI, Moscow, 2001.
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8.  V. A. Lomovskoi, "Local dissipative phenomena in crystal modifications of boron," Neorg. Mater., Vol. 37, No. 12, pp. 1454-1466, 2001.
9.  G. M. Bertenev and V. A. Lomovskoi, "Relaxation transitions in glass-like B2O3 and their molecular mechanisms," Neorg. Mater., Vol. 31, No. 3, pp. 404-410, 1995.
10.  V. A. Lomovskoi and G. M. Bertenev, "The influence of the type of the alkaline cation of glasses on the relaxation properties of binary alkaline-borate glasses," Neorg. Mater., Vol. 28, No. 7, pp. 1449-1460, 1992.
11.  V. A. Lomovskoi, "Specific features of the α-relaxation glass-like B2O3," Neorg. Mater., Vol. 31, No. 3, pp. 291-300, 1993.
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15.  N. S. Fastov, "On the high-temperature branch of the internal friction background," Doklady AN SSSR, Vol. 138, No. 5, pp. 1069-1072, 1961.
16.  N. S. Fastov, "On the theory of elastic aftereffect," in Issues of Adaptive Metallurgy and Physics of Metals [in Russian], No. 2, pp. 583-594, GNTI, Moscow, 1958.
17.  Ke Ting Sui, "Experimental proof of viscous behavior of grain boundaries in metals," in Elasticity and Inelasticity of Metals [Russian translation], Izd-vo Inostr. Lit-ry, Moscow, 1954.
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20.  A. A. Gorshkov, V. A. Lomovskoi, and E. N. Polyvanaya, "Phenomenological description of thermal defect of the shear modulus from the standpoint of the generalized Maxwell model," in 10th Intern. Sympos. "Dynamics and Technology Issues in Mechanics of Structures and Continua" [in Russian], Vol. 2, pp. 66-79, MAI, Moscow, 2004.
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22.  V. A. Lomovskoi, "Structural subsystems and mechanical relaxation phenomena in inorganic glasses," Neorg. Mater., Vol. 35, No. 3, pp. 382-384, 1999.
23.  A. A. Gorshkov, V. V. Gromov, and V. A. Lomovskoi, "The θ-relaxation process and modulus defect in silicon dioxide," in Proc. 20th Intern. Conf. "Mathematical Modelling in Continuum Mechanics. Boundary and Finite Element Methods" [in Russian], Vol. 2, pp. 165-170, Izd-vo SPbGU, St. Petersburg, 2003.
24.  U. Burkert and N. L. Ellinger (Editors), Molecular Mechanics [Russian translation], Mir, Moscow, 1986.
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26.  V. A. Skripnikov, V. N. Sanin, Yu. S. Balashov, and A.  T. Bolgov, "The nature of low values of thermal expansion coefficient of quartz glass,", Fiz. i Khim. Stekla, Vol. 9, No. 3, pp.  367-371, 1983.
27.  G. Leibfried and W. Ludwig, Theory of Anharmonic Effects in Crystals [Russian translation], Nauka, Moscow, 1963.
28.  V. A. Lomovskoi and A. A. Petrukhin, "Debora numbers and relaxation processes in polimethylmethacrylate," Materialovedenie, No. 3, pp. 3-10, 2001.
Received 22 April 2004
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