Literature Cited
L. S. Velichko, A. E. Krushevskii, and G. P. Sosnin, “Solution of the problem of equilibrium of periodontium under the effect of external forces on the tooth,” Teor. Prikl. Mekh., No. 3, 63–80 (1975).
L. S. Velichko, Prophylaxis and Treatment of Articulation Overloading of Parodontium [in Russian], Belarus', Minsk (1985).
Ya. M. Grigorenko, V. P. Nespryad'ko, and P. P. Topka, “Modeling of the stress state of periodontium with the use of spline functions,” Dokl. Akad. Nauk Ukr SSR, Ser. A, No. 10, 45–48 (1989).
Yu. S. Zav'yalov, B. I. Kvasov, and V. L. Miroshnichenko, Methods of Spline Functions [in Russian], Nauka, Moscow (1980).
N. A. Kil'chevskii, Theoretical Mechanics (in 2 Vols.) [in Russian], Vols. 1 and 2, Nauka, Moscow, (1977).
P. K. Rashevskii, Differential Geometry [in Russian], Gostekhizdat, Moscow (1950).
G. P. Sosnin, “Distribution of stresses in the periodontium under the effect of functional load on the tooth,” Vopr. Klin. Stomatol., No. 11, 37–41 (1969).
S. P. Timoshenko, Theory of Elasticity [Russian translation], Naukova Dumka, Kiev (1972).
G. M. Fikhtengol'ts, Differential and Integral Calculus (in 3 Vols.) [in Russian], Vol. 3, Gostekhizdat, Moscow-Leningrad (1949).
A. S. Shcherbakov, Reactivity and Functions Structure of Periodontium, Abstract of Candidate Dissertation, Kalinin (1966).
Additional information
Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Kiev Medical Institute. Translated from Prikladnaya Mekhanika, Vol. 26, No. 12, pp. 33–38, December, 1990.
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Grigorenko, Y.M., Nespryad'ko, V.P. & Topka, P.P. Determination of the stress state of periodontium of teeth by means of a spline approximation of its side surfaces. Soviet Applied Mechanics 26, 1143–1148 (1990). https://doi.org/10.1007/BF00887676
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DOI: https://doi.org/10.1007/BF00887676