Abstract—
The product of the density of a solid with the square of the root mean square velocity of deformation waves in it, which has features characteristic of elastic moduli, is named an effective modulus of elasticity. We demonstrate that the ratio of the bulk modulus to the effective modulus of elasticity of oxygen-free chalcogenide glasses is a single-valued function of Poisson’s ratio, like in the case of oxide glasses. The effective modulus of elasticity is closely related to the Grüneisen parameter, which quantifies anharmonicity. Based on the single-valued relation between the Grüneisen parameter and Poisson’s ratio, we discuss the nature of the interrelationship between harmonic (linear) and anharmonic (nonlinear) quantities.
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REFERENCES
Kittel, C., Introduction to Solid State Physics, New York: Wiley, 1956, 2nd ed.
Leont’ev, K.L., Relationship between elastic and thermal properties of substances, Akust. Zh., 1981, vol. 27, no. 4, pp. 554–561.
Sanditov, D.S. and Belomestnykh, V.N., Relationship between the parameters of the elasticity theory and average bulk modulus of solids, Tech. Phys., 2011, vol. 81, no. 11, pp. 1619–1623.
Shchukina, N.E., Orlova, G.M., and Chalabyan, G.A., Viscosity and elastic properties of glasses in the arsenic–sulfur–thallium system, Fiz. Khim. Stekla, 1979, vol. 5, no. 2, pp. 223–228.
Landau, L.D. and Lifshitz, E.M., Teoriya uprugosti (Theory of Elasticity), Moscow: Nauka, 1987.
Belomestnykh, V.N. and Tesleva, E.P., Interrelation between anharmonicity and lateral strain in quasi-isotropic polycrystalline solids, Tech. Phys., 2004, vol. 74, no. 8, pp. 1098–1100.
Sanditov, D.S. and Darmaev, M.V., Poisson’s ratio and other moduli of multicomponent optical glasses, Vestn. Buryatsk. Gos. Univ. Khim. Fiz., 2014, no. 3, pp. 136–139.
Gurovich, E.A., Il’in, A.A., Pronkin, A.A., and Strzhalkovskii, M.E., Speed of sound in glassy alkaline-earth metaphosphates, Fiz. Khim. Stekla, 1979, vol. 5, no. 3, pp. 383–384.
Sanditov, D.S., The nature of the Poisson ratio of amorphous organic polymers and inorganic glasses, Polym. Sci., Ser. A, 2016, vol. 58, no. 5, pp. 710–725.
Barker, R., 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 mechanical and thermal characteristics of crystals, in Nekotorye problemy prochnosti tverdykh tel (Some Issues Pertaining to the Strength of Solids), Moscow: Akad. Nauk SSSR, 1959, pp. 99–107.
Pineda, E., Theoretical approach to Poisson ratio behavior during structural changes in metallic glasses, Phys. Rev. B: Condens. Matter Mater. Phys., 2006, vol. 73, paper 104 109.
Kuz'menko, V.A., Novye skhemy deformirovaniya tverdykh tel (New Schemes for Deformation of Solids), Kiev: Naukova Dumka, 1973.
Berlin, A.A., Rotenburg, L., and Baserst, R., Structure of isotropic materials with a negative Poisson’s ratio, Vysokomol. Soedin., Ser. B., 1991, vol. 33, no. 8, pp. 619–621.
Sanditov, D.S. and Kozlov, G.V., Anharmonicity of interatomic and intermolecular bonds and physicomechanical properties of glassy systems, Fiz. Khim. Stekla, 1995, vol. 21, no. 6, pp. 549–578.
Kozlov, G.V. and Sanditov, D.S., Angarmonicheskie effekty i fiziko-mekhanicheskie svoistva polimerov (Anharmonic Effects and Physicomechanical Properties of Polymers), Novosibirsk: Nauka, 1994.
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Sanditov, D.S., Darmaev, M.V. Effective Modulus of Elasticity and Grüneisen Parameter of Chalcogenide Glasses in the As–Tl–S System. Inorg Mater 55, 617–622 (2019). https://doi.org/10.1134/S0020168519060153
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DOI: https://doi.org/10.1134/S0020168519060153