Abstract
The Gruneisen parameter of glassy polymers and inorganic glass is a linear function of the fraction of the fluctuation volume that is frozen at the glass transition temperature. The nature of an interrelation between linear and nonlinear properties of solids, in particular, between the Gruneisen parameter and Poisson’s ratio is discussed.
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Belomestnykh, V.N., The acoustical Grüneisen constants of solids, Tech. Phys. Lett., 2004, vol. 30, no. 2, pp. 91–93.
Belomestnykh, V.N. and Tesleva, E.P., Interrelation between anharmonicity and lateral strain in quasi-isotropic polycrystalline solids, Tech. Phys., 2004, vol. 49, no. 8, pp. 1098–1100.
Sanditov, D.S. and Kozlov, G.V., Anharmonicity of interatomic and intermolecular bonds and physicomechanical properties of polymer glasses, Glass Phys. Chem., 1995, vol. 21, no. 6, pp. 392–409.
Kozlov, G.V. and Sanditov, D.S., Angarmonicheskie effekty i fiziko-mekhanicheskie svoistva polimerov (Anharmonic Effects and Physicomechanical Properties of Polymers), Novosibirsk: Nauka, 1994.
Mikitishin, S.I., Interrelationship of Poisson’s ratio with other characteristics of pure metals, Fiz.Khim. Mekh. Mater., 1982, vol. 18, no. 3, pp. 84–88.
Perepechko, I.I., Svoistva polimerov pri nizkikh temperaturakh (Properties of Polymers at Low Temperatures), Moscow: Khimiya, 1977.
Sanditov, D.S., Badmaev, S.S., Mel’nichenko, T.N., and Sanditov, B.D., On the critical displacement of excited kinetic units in liquids and glasses, Glass Phys. Chem., 2007, vol. 33, no. 1, pp. 37–43.
Sanditov, D.S., Model of delocalized atoms in the physics of the vitreous state, JETP, 2012, vol. 115, no. 1, pp. 112–124.
Sanditov, D.S., The excited state model and an elementary act of softening of glassy solids, JETP, 2009, vol. 108, no. 1, pp. 98–110.
Kurkjian, C.R., Krause, J.T., McSkimin, H.J., Andreatch, P., and Bateman, T.B., Pressure dependence of elastic constants and Grüneisen parameters fused SiO2, GeO2, BeF2, and B2O3, in Amorphous Materials, Dauglas, R.W. and Ellis, B., Eds., New York: Wiley-Interscience, 1972, pp. 463–473.
Barker, R.E., An approximate relation between elastic module and thermal expansivities, J. Appl. Phys., 1963, vol. 34, no. 1, pp. 107–116.
Kontorova, T.A., On the relationship between the mechanical and thermal characteristics of crystals, in Nekotorye problemy prochnosti tverdykh tel (Some Problems of the Strength of Solids), Moscow: Academy of Sciences of the Soviet Union, 1959, pp. 99–107.
Zhuze, V.P. and Kontorova, T.A., On the correlation between the hardness and the thermal conductivity of non-metallic crystals, Sov. Phys.Tech. Phys., 1958, vol. 3, no. 8, pp. 646–651.
Kontorova, T.A., On the thermal expansion and thermal conductivity of some crystals, Zh. Tekh. Fiz., 1956, vol. 26, no. 9, pp. 2021–2028.
Sanditov, D.S. and Bartenev, G.M., Fizicheskie svoistva neuporyadochennykh struktur (Physical Properties of Disordered Structures), Novosibirsk: Nauka, 1982.
Frenkel, J., Kinetic Theory of Liquids, Fowler, R.H., Kapitza, P.L., and Mott, N.F., Eds., Oxford: Oxford University Press, 1947. Translated under the title Kineticheskaya teoriya zhidkostei, Moscow: Nauka, 1975.
Coenen, M., Sprung im ausdehnungs koeffizienten und leerstellen konzent ration bei T g von glasigen systemen, Glastech. Ber., 1977, vol. 50, no. 4, pp. 74–78.
Nemilov, S.V., Romanova, N.V., and Krylova, L.A., Kinetics of elementary processes in the condensed state: V. The volume of units activated on the viscous flow of silicate glasses, Zh. Fiz. Khim., 1969, vol. 43, no. 8, pp. 2131–2134.
Sanditov, D.S. and Kozlov, G.V., On the linear correlation between the modulus of elasticity and the glass transition temperature of amorphous polymers and glasses, Glass Phys. Chem., 1993, vol. 19, no. 4, pp. 593–601.
Livshits, V.Ya., Tennison, D.G., Gukasyan, S.B., and Kostanyan, A.K., Acoustic and elastic properties of glasses in the Na2O-Al2O3-SiO2 system, Sov. J. Glass Phys. Chem., 1982, vol. 8, no. 6, pp. 463–468.
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Original Russian Text © B.D. Sanditov, S.Sh. Sangadiev, D.S. Sanditov, 2013, published in Fizika i Khimiya Stekla.
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Sanditov, B.D., Sangadiev, S.S. & Sanditov, D.S. Gruneisen parameter and fluctuation volume of amorphous polymers and glass. Glass Phys Chem 39, 382–389 (2013). https://doi.org/10.1134/S1087659613040172
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DOI: https://doi.org/10.1134/S1087659613040172