Abstract
The dependences of the structural strength and the elastic modulus on the chemical composition of phosphate glasses are analyzed. The structural strength and the elastic modulus of phosphate glasses are determined for different types of both the modifier ion and the second glass-former (B2O3 or SiO2) introduced into the glass. The total bonding energy per unit volume of the glass is calculated from the data on the dissociation energy for the oxides entering into the glass composition and the data on the atomic packing density. For four systems of phosphate glasses, it is demonstrated that the Young’s modulus depends linearly on the total bonding energy per unit volume of the glass. The dependence of the structural strength on the chemical composition exhibits a more complex behavior and is governed by other additional factors, such as the formation of new structural groups or the change in the structure of the anionic network of the glass.
Similar content being viewed by others
References
Alekseev, N.E., Gapontsev, V.P., Zhabotinskii, M.E., Kravchenko, V.B., and Rudnitskii, Yu.P., Lazernye fosfatnye stekla (Laser Phosphate Glasses), Moscow: Nauka, 1980 [in Russian].
Baikova, L.G., Fedorov, Yu.K., Pukh, V.P., Pesina, T.I., Kazannikova, T.P., Tikhonova, L.V., and Kireenko, M.F., Effect of Cation Field Strength on the Mechanical Properties of R 2O-Al2O3-P2O5 Glasses, Fiz. Khim. Stekla, 1993, vol. 19, no. 5, pp. 725–731 [Glass Phys. Chem. (Engl. transl.), 1993, vol. 19, no. 5, pp. 380–383].
Baikova, L.G., Fedorov, Yu.K., Pukh, V.P., Pesina, T.I., Tikhonova, L.V., Kazannikova, T.P., and Kireenko, M.F., The Influence of Aluminum Oxide on Mechanical Properties of K2O-Al2O3-P2O5 Metaphosphate Glasses and the Role of Aluminum in Their Structure, Fiz. Khim. Stekla, 1995, vol. 21, no. 2, pp. 177–182 [Glass Phys. Chem. (Engl. transl.), 1995, vol. 21, no. 2, pp. 115–119].
Baikova, L.G., Fedorov, Yu.K., Pukh, V.P., Tikhonova, L.V., Kazannikova, T.P., Sinani, A.B., and Nikitina, S.I., Influence of Boron Oxide on the Physicomechanical Properties of Glasses in the Li2O-B2O3-P2O5 System, Fiz. Khim. Stekla, 2003, vol. 29, no. 3, pp. 391–398 [Glass Phys. Chem. (Engl. transl.), 2003, vol. 29, no. 3, pp. 276–281].
Baikova, L.G., Fedorov, Yu.K., Pukh, V.P., Tikhonova, L.V., Kazannikova, T.P., Sinani, A.B., and Nikitina, S.I., The Influence of Silicon Oxide on the Mechanical Properties of Metaphosphate Glasses, Fiz. Khim. Stekla, 2004, vol. 30, no. 5, pp. 572–577 [Glass Phys. Chem. (Engl. transl.), 2004, vol. 30, no. 5, pp. 420–424].
Pukh, V.P., Baikova, L.G., Kireenko, M.F., Tikhonova, L.V., Kazannikova, T.P., and Sinani, A.B., Atomic Structure and Strength of Inorganic Glasses, Fiz. Tverd. Tela (St. Petersburg), 2005, vol. 47, no. 5, pp. 850–855 [Phys. Solid State (Engl. transl.), 2005, vol. 47, no. 5, pp. 876–881].
Nemilov, S.S., Interrelation between the Sound Velocity, Mass, and Energy of the Chemical Interaction, Dokl. Akad. Nauk SSSR, 1968, vol. 181, no. 6, pp. 1427–1429.
Livshits, V.Ya., Potalitsyn, M.G., Nakhapetyan, R.A., Polukhin, V.N., and Smirnova, R.P., Elastic Moduli and Energetics of Alkali Germanate Glasses with Additions of II–VI Group Element Oxides, Fiz. Khim. Stekla, 1992, vol. 18, no. 2, pp. 70–88 [Sov. J. Glass Phys. Chem. (Engl. transl.), 1992, vol. 18, no. 2, pp. 130–139].
Livshits, V.Ya. and Potalitsyn, M.G., Elastic Constants and Energetics of Glasses in the R 2O-ZrO2-Ta2O5-GeO2-SiO2 System, Fiz. Khim. Stekla, 1994, vol. 20, no. 2, pp. 204–209 [Glass Phys. Chem. (Engl. transl.), 1994, vol. 20, no. 2, pp. 139–143].
Makishima, A. and Mackenzie, J.D., Direct Calculation of Young’s’s Modulus of Glass, J. Non-Cryst. Solids, 1973, vol. 12, no. 1, pp. 35–45.
Bridge, B., Patel, N.D., and Waters, D.N., On the Elastic Constants and Structure of Oxide Glasses, Phys. Status Solidi A, 1983, vol. 77, no. 2, pp. 655–668.
Bridge, B. and Higazy, A.A., A Model of the Compositional Dependence of the Elastic Moduli of Polycomponent Oxide Glasses, Phys. Chem. Glasses, 1986, vol. 27, no. 1, pp. 1–14.
Sun, K.H., Fundamental Condition of Glass Formation, J. Am. Ceram. Soc., 1947, vol. 30, no. 9, pp. 277–281.
Appen, A.A., Glushkova, V.B., and Kayalova, S.S., Calculation of Bonding Energy in Oxides, Izv. Akad. Nauk SSSR, Neorg. Mater., 1965, vol. 1, no. 4, pp. 576–582.
Jin Yifen, Chen Xiangsheng, and Huang Xihuai, Raman Studies of Lithium Borophosphate Glasses, J. Non-Cryst. Solids, 1989, vol. 112, no. 1, pp. 147–150.
Lockyer, M.W., Holland, D., and Dupree, R., The Structure of (5x)P2O5 · (1 − x)K2O · 4(1 − x)SiO2 Glasses, Phys. Chem. Glasses, 1995, vol. 36, no. 1, pp. 22–30.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © L.G. Baikova, V.P. Pukh, Yu.K. Fedorov, A.B. Sinani, L.V. Tikhonova, M.F. Kireenko, 2008, published in Fizika i Khimiya Stekla.
Rights and permissions
About this article
Cite this article
Baikova, L.G., Pukh, V.P., Fedorov, Y.K. et al. Mechanical properties of phosphate glasses as a function of the total bonding energy per unit volume of glass. Glass Phys Chem 34, 126–131 (2008). https://doi.org/10.1134/S1087659608020028
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1087659608020028