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IssuesArchive of Issues2003-2pp.57-66

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S. A. Korneev, "Thermodynamically consistent equations of state in nonlinear thermoelasticity," Mech. Solids. 38 (2), 57-66 (2003)
Year 2003 Volume 38 Number 2 Pages 57-66
Title Thermodynamically consistent equations of state in nonlinear thermoelasticity
Author(s) S. A. Korneev (Omsk)
Abstract General relations for thermoelastic characteristics of isotropic materials are obtained. By comparison of the theoretical and experimental data, it is shown that the behavior of polycrystalline aluminum with high degree of accuracy corresponds to that of a hyperelastic material in a broad range of pressures and temperatures.
References
1.  A. I. Lur'e, Nonlinear Theory of Elasticity [in Russian], Nauka, Moscow, 1980.
2.  C. Truesdell, First Course in Rational Continuum Mechanics [Russian translation], Mir, Moscow, 1975.
3.  B. E. Pobedrya, "Models of continuum mechanics," Izv. AN. MTT [Mechanics of Solids], No. 3, pp. 47-59, 2000.
4.  D. Blend, Nonlinear Dynamic Elasticity [Russian translation], Mir, Moscow, 1972.
5.  I. G. Kozhevnikov and L. A. Novitskii, Thermophysical Properties of Materials at Low Temperatures [in Russian], Mashinostroenie, Moscow, 1982.
6.  I. S. Grigor'eva and E. Z. Meilikhov (Editors), Physical Quantities: A Handbook [in Russian], Energoatomizdat, Moscow, 1991.
7.  G. P. Stewart, "Measurement of Low-temperature Specific Heat," Rev. Sci. Instrum., Vol. 64, No. 1, pp. 1-11, 1983.
8.  S. A. Korneev, "Application of the Clausius-Kelvin method to the analysis of locally nonequilibrium processes," Izv. AN. Energetika, No. 4, 2001, pp. 106-116.
9.  L. D. Landau and E. M. Lifshits, Statistical Physics. Theoretical Physics. Volume 5. Part 1 [in Russian], Nauka, Moscow, 1976.
10.  A. A. Il'yushin, Continuum Mechanics [in Russian], Izd-vo MGU, Moscow, 1978.
11.  M. Born and K. Huang, Dynamical Theory of Crystal Lattices [Russian translation], Izd-vo Inostr. Lit-ry, Moscow, 1958.
12.  I. M. Lifshits, "On the identification of the energy spectrum of a Bose system by its heat capacity," ZhETF, Vol. 26, No. 5, pp. 551-556, 1954.
13.  G. Alers, "Utilization of sound speed measurements for determining Debye temperature in solids," in Physical Acoustics. Lattice Dynamics. Volume 3. Part B [Russian translation], pp. 13-61, Mir, Moscow, 1968.
14.  A. Sommerfeld, Mechanics of Deformable Media [Russian translation], Izd-vo Inostr. Lit-ry, Moscow, 1954.
15.  I. N. Frantsevich, F. F. Voronov, and S. A. Bakuta, Elastic Constants and Elastic Moduli of Metals and Non-metals [in Russian], Naukova Dumka, Kiev, 1982.
16.  Ch. Kittel, Statistical Thermodynamics [Russian translation], Nauka, Moscow, 1977.
Received 16 April 2002
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