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Soviet Applied Mechanics

, Volume 26, Issue 12, pp 1143–1148 | Cite as

Determination of the stress state of periodontium of teeth by means of a spline approximation of its side surfaces

  • Ya. M. Grigorenko
  • V. P. Nespryad'ko
  • P. P. Topka
Article
  • 15 Downloads

Keywords

Stress State Side Surface Spline Approximation 
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Literature Cited

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    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).Google Scholar
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    L. S. Velichko, Prophylaxis and Treatment of Articulation Overloading of Parodontium [in Russian], Belarus', Minsk (1985).Google Scholar
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    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).Google Scholar
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    P. K. Rashevskii, Differential Geometry [in Russian], Gostekhizdat, Moscow (1950).Google Scholar
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    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).Google Scholar
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    S. P. Timoshenko, Theory of Elasticity [Russian translation], Naukova Dumka, Kiev (1972).Google Scholar
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    G. M. Fikhtengol'ts, Differential and Integral Calculus (in 3 Vols.) [in Russian], Vol. 3, Gostekhizdat, Moscow-Leningrad (1949).Google Scholar
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    A. S. Shcherbakov, Reactivity and Functions Structure of Periodontium, Abstract of Candidate Dissertation, Kalinin (1966).Google Scholar

Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • Ya. M. Grigorenko
  • V. P. Nespryad'ko
  • P. P. Topka

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