How to cite this paper
Bulbuk, O., Velychkovych, A., Mazurenko, V., Ropyak, L & Pryhorovska, T. (2019). Analytical estimation of tooth strength, restored by direct or indirect restorations.Engineering Solid Mechanics, 7(3), 193-204.
Refrences
Chung, S. W., & Park, S. M. (2016). A Shell Theory of Hybrid Anisotropic Materials. International Journal of Composite Materials, 6(1), 15–25.
Dolgov, N. A., Lyashenko, B. A., Rushchitskii, Y. Y., Veremchuk, V. S., Terletskii, V. A. & Kovalenko, A. P. (1996). Effects of elasticity differences between substrate and coating on the state of stress and strain in a composite. Part 2. Coating tensile stress distribution. Strength of Materials, 28(5), 373–375.
Dolgov, N. A. (2016). Analytical methods to determine the stress state in the substrate–coating system under mechanical loads. Strength of materials, 48(5), 658–667.
Gross, D., & Seelig, T. (2018). Linear fracture mechanics. In: Fracture Mechanics. Mechanical Engineering Series. Springer, Cham.
Jin, L. J., Lamster, I. B., Greenspan, J. S., Pitts, N. B., Scully, C., & Warnakulasuriya, S. (2016). Global burden of oral diseases: Emerging concepts, management and interplay with systemic health. Oral Diseases, 22, 609–619.
Kolesov, V. S, Vlasov, N. M., Tisovskii, L. O., & Shatskii, I. P. (1992). The stress-deformation state of an elastic half-space with a spheroidal thermal inclusion. International Applied Mechanics, 28(7), 426–434.
Kolesov, V. S, Vlasov, N. M., Tisovskii, L. O., & Shatskii, I. P. (1993). The stress concentration in an elastic ball with nonconcentric spherical cavity. Journal of Soviet Mathematics, 63(3), 335–339.
Larson, Mats G., & Bengzon, F. (2013). The Finite element method: Theory, Implementation and Applications. Berlin Heidelberg: Springer-Verlag.
Listl, S., Galloway, J., Mossey, P. A., & Marcenes, W. (2015). Global Economic Impact of Dental Diseases. Journal of Dental Research, 94(10), 1355–1361.
Milikevich, V. Yu., Danilina, T. F., & Krayev, A. S. (1981) Pokazateli prochnostnykh svoystv koronok zhevatel¬nykh zubov posle plombirovaniya polostey pervogo klassa. Stomatologiya, 60(4), 15–17.
Mamoun, J. S., & Napoletano, D. (2015). Cracked tooth diagnosis and treatment: An alternative paradigm. European Journal of Dentistry, 9(2), 293-303.
Nishta, B. V., Lakhtin, Yu. V., & Smeyanov, Yu. V. (2014). Computer modeling and numerical analysis of the stress state after the restoration of a tooth cavity. Journal of Engineering Sciences, 1(3), 7–12.
Goryacheva, I., & Martynyak, R. (2014). Contact problems for textured surfaces involving frictional effects. Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, 228(7), 707–716.
Kravchuk, A. S., & Neittaanmaki, P. J. (2007). Variational and Quasi-Variational Inequalities in Mechanics. Springer-Verlag Berlin.
Pryhorovska, T. O., & Chaplinskyy, S. S. (2014). Probabilistic estimate of PDC drill bit wear rate. Naukovyi Visnyk Natsionalnogo Hirnychogo Unversutetu, 5, 39–45.
Pryhorovska, T. O. (2017). Study on rock reaction force depending on PDC cutter placement. Machining Science and Technology, 21(1), 37–66.
Srirekha, A., & Bashetty, K. (2013). A comparative analysis of restorative materials used in abfraction lesions in tooth with and without occlusal restoration: Three-dimensional finite element analysis. Journal of Conservative Dentistry: JCD, 16(2), 157–61.
Velichkovich, A. S., Popadyuk, I. I., & Shopa, V. M. (2011). Experimental study of shell flexible component for drilling vibration damping devices. Chemical and Petroleum Engineering, 46(9–11), 518–524.
Velichkovich, A. S. & Dalyak, T. M. (2015). Assessment of stressed state and performance characteristics of jacketed spring with a cut for drill shock absorber. Chemical and Petroleum Engineering, 51(3), 188–193.
Velichkovich, A., Dalyak, T., & Petryk, I. (2018). Slotted shell resilient elements for drilling shock absorbers. Oil & Gas Science and Technology – Rev. IFP Energies Nouvelles, 73(34), 1–8.
Vlasiy, O., Mazurenko, V., Ropyak, L., & Rogal, O. (2017). Improving the aluminum drill pipes stability by optimizing the shape of protector thickening. Eastern-European Journal of Enterprise Technologies, 7(85), 25–31.
Panevnik, D. A., & Velichkovich, A. S. (2017). Assessment of the stressed state of the casing of the above-bit hydroelevator. Neftyanoe Khozyaystvo - Oil Industry, 1, 70–73.
Popadyuk, І. Y., Shats’kyi, І. P., Shopa, V. М., & Velychkovych, A. S. (2016). Frictional interaction of a cylindrical shell with deformable filler under nonmonotonic loading. Journal of Mathematical Sciences, 215(2), 243–253.
Ropyak, L, Schuliar, І., & Bohachenko, О. (2016). Influence of technological parameters of centrifugal reinforcement upon quality indicators of parts. Eastern-European Journal Of Enterprise Technologies, 5(79), 53–62.
Ropyak, L. Y., Shatskyi, I. P. & Makoviichuk, M. V. (2017). Influence of the oxide-layer thickness on the ceramic–aluminium coating resistance to indentation. Metallofizika i Noveishie Tekhnologii, 39(4), 517–524.
Shatskyi, I., Popadyuk, I., Velychkovych, A. (2018). Hysteretic Properties of Shell Dampers. In: Awrejcewicz J. (eds) Dynamical Systems in Applications. DSTA 2017. Springer Proceedings in Mathematics & Statistics, 249. Springer, Cham, pp. 343–350.
Shats’kyi, І. P. (2015). Limiting equilibrium of a plate with partially healed crack. Materials Science, 51(3), 322–330.
Striletskyy, Yu. Yo., & Rovinskyy, V. A. (2017). Method of determination of changes of plastic properties of a metal plate by means of frequencies of modes of the string stretched above it. Metallofizika i Noveishie Tekhnologii, 39(10), 1377–1393.
Saakiyan, L. S., Efremov, A. P., Ropyak, L. Y., & Gorbatskii, A. V. (1987). A method of microelectrochemical investigations. Soviet Materials Science, 23(3), 267–269.
Saakiyan, L. S., Efremov, A. P., & Ropyak, L. Y. (1989). Effect of stress on the microelectrochemical heterogeneity of steel. Protection of Metals, 25(2), 185–189.
Shatskii, I. P. (1989). Contact of the edges of the slit in the plate in combined tension and bending. Materials Science, 25(2), 160–165.
Shats’kyi, I. P., & Makoviichuk, M. V. (2005). Сontact interaction of crack lips in shallow shells in bending with tension. Materials Science, 41(4), 486–494.
Shatskyi, I. P., Ropyak, L. Y. & Makoviichuk, M. V. (2016). Strength optimization of a two-layer coating for the particular local loading conditions. Strength of Materials, 48(5), 726–730.
Shatskii, I. P., & Perepichka, V. V. (2013). Shock-wave propagation in an elastic rod with a viscoplastic external resistance. Journal of Applied Mechanics and Technical Physics, 54(6), 1016–1020.
Shats’kyi, I. P., Lyskanych, O. M. & Kornuta, V. A. (2016). Combined deformation conditions for fatigue damage indicator and well-drilling tool joint. Strength of Materials, 48(3), 469–472.
Velichkovich, A. S. (2005). Shock absorber for oil-well sucker-rod pumping unit. Chemical and Petroleum Engineering, 41(9–10), 544–546.
Dolgov, N. A., Lyashenko, B. A., Rushchitskii, Y. Y., Veremchuk, V. S., Terletskii, V. A. & Kovalenko, A. P. (1996). Effects of elasticity differences between substrate and coating on the state of stress and strain in a composite. Part 2. Coating tensile stress distribution. Strength of Materials, 28(5), 373–375.
Dolgov, N. A. (2016). Analytical methods to determine the stress state in the substrate–coating system under mechanical loads. Strength of materials, 48(5), 658–667.
Gross, D., & Seelig, T. (2018). Linear fracture mechanics. In: Fracture Mechanics. Mechanical Engineering Series. Springer, Cham.
Jin, L. J., Lamster, I. B., Greenspan, J. S., Pitts, N. B., Scully, C., & Warnakulasuriya, S. (2016). Global burden of oral diseases: Emerging concepts, management and interplay with systemic health. Oral Diseases, 22, 609–619.
Kolesov, V. S, Vlasov, N. M., Tisovskii, L. O., & Shatskii, I. P. (1992). The stress-deformation state of an elastic half-space with a spheroidal thermal inclusion. International Applied Mechanics, 28(7), 426–434.
Kolesov, V. S, Vlasov, N. M., Tisovskii, L. O., & Shatskii, I. P. (1993). The stress concentration in an elastic ball with nonconcentric spherical cavity. Journal of Soviet Mathematics, 63(3), 335–339.
Larson, Mats G., & Bengzon, F. (2013). The Finite element method: Theory, Implementation and Applications. Berlin Heidelberg: Springer-Verlag.
Listl, S., Galloway, J., Mossey, P. A., & Marcenes, W. (2015). Global Economic Impact of Dental Diseases. Journal of Dental Research, 94(10), 1355–1361.
Milikevich, V. Yu., Danilina, T. F., & Krayev, A. S. (1981) Pokazateli prochnostnykh svoystv koronok zhevatel¬nykh zubov posle plombirovaniya polostey pervogo klassa. Stomatologiya, 60(4), 15–17.
Mamoun, J. S., & Napoletano, D. (2015). Cracked tooth diagnosis and treatment: An alternative paradigm. European Journal of Dentistry, 9(2), 293-303.
Nishta, B. V., Lakhtin, Yu. V., & Smeyanov, Yu. V. (2014). Computer modeling and numerical analysis of the stress state after the restoration of a tooth cavity. Journal of Engineering Sciences, 1(3), 7–12.
Goryacheva, I., & Martynyak, R. (2014). Contact problems for textured surfaces involving frictional effects. Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, 228(7), 707–716.
Kravchuk, A. S., & Neittaanmaki, P. J. (2007). Variational and Quasi-Variational Inequalities in Mechanics. Springer-Verlag Berlin.
Pryhorovska, T. O., & Chaplinskyy, S. S. (2014). Probabilistic estimate of PDC drill bit wear rate. Naukovyi Visnyk Natsionalnogo Hirnychogo Unversutetu, 5, 39–45.
Pryhorovska, T. O. (2017). Study on rock reaction force depending on PDC cutter placement. Machining Science and Technology, 21(1), 37–66.
Srirekha, A., & Bashetty, K. (2013). A comparative analysis of restorative materials used in abfraction lesions in tooth with and without occlusal restoration: Three-dimensional finite element analysis. Journal of Conservative Dentistry: JCD, 16(2), 157–61.
Velichkovich, A. S., Popadyuk, I. I., & Shopa, V. M. (2011). Experimental study of shell flexible component for drilling vibration damping devices. Chemical and Petroleum Engineering, 46(9–11), 518–524.
Velichkovich, A. S. & Dalyak, T. M. (2015). Assessment of stressed state and performance characteristics of jacketed spring with a cut for drill shock absorber. Chemical and Petroleum Engineering, 51(3), 188–193.
Velichkovich, A., Dalyak, T., & Petryk, I. (2018). Slotted shell resilient elements for drilling shock absorbers. Oil & Gas Science and Technology – Rev. IFP Energies Nouvelles, 73(34), 1–8.
Vlasiy, O., Mazurenko, V., Ropyak, L., & Rogal, O. (2017). Improving the aluminum drill pipes stability by optimizing the shape of protector thickening. Eastern-European Journal of Enterprise Technologies, 7(85), 25–31.
Panevnik, D. A., & Velichkovich, A. S. (2017). Assessment of the stressed state of the casing of the above-bit hydroelevator. Neftyanoe Khozyaystvo - Oil Industry, 1, 70–73.
Popadyuk, І. Y., Shats’kyi, І. P., Shopa, V. М., & Velychkovych, A. S. (2016). Frictional interaction of a cylindrical shell with deformable filler under nonmonotonic loading. Journal of Mathematical Sciences, 215(2), 243–253.
Ropyak, L, Schuliar, І., & Bohachenko, О. (2016). Influence of technological parameters of centrifugal reinforcement upon quality indicators of parts. Eastern-European Journal Of Enterprise Technologies, 5(79), 53–62.
Ropyak, L. Y., Shatskyi, I. P. & Makoviichuk, M. V. (2017). Influence of the oxide-layer thickness on the ceramic–aluminium coating resistance to indentation. Metallofizika i Noveishie Tekhnologii, 39(4), 517–524.
Shatskyi, I., Popadyuk, I., Velychkovych, A. (2018). Hysteretic Properties of Shell Dampers. In: Awrejcewicz J. (eds) Dynamical Systems in Applications. DSTA 2017. Springer Proceedings in Mathematics & Statistics, 249. Springer, Cham, pp. 343–350.
Shats’kyi, І. P. (2015). Limiting equilibrium of a plate with partially healed crack. Materials Science, 51(3), 322–330.
Striletskyy, Yu. Yo., & Rovinskyy, V. A. (2017). Method of determination of changes of plastic properties of a metal plate by means of frequencies of modes of the string stretched above it. Metallofizika i Noveishie Tekhnologii, 39(10), 1377–1393.
Saakiyan, L. S., Efremov, A. P., Ropyak, L. Y., & Gorbatskii, A. V. (1987). A method of microelectrochemical investigations. Soviet Materials Science, 23(3), 267–269.
Saakiyan, L. S., Efremov, A. P., & Ropyak, L. Y. (1989). Effect of stress on the microelectrochemical heterogeneity of steel. Protection of Metals, 25(2), 185–189.
Shatskii, I. P. (1989). Contact of the edges of the slit in the plate in combined tension and bending. Materials Science, 25(2), 160–165.
Shats’kyi, I. P., & Makoviichuk, M. V. (2005). Сontact interaction of crack lips in shallow shells in bending with tension. Materials Science, 41(4), 486–494.
Shatskyi, I. P., Ropyak, L. Y. & Makoviichuk, M. V. (2016). Strength optimization of a two-layer coating for the particular local loading conditions. Strength of Materials, 48(5), 726–730.
Shatskii, I. P., & Perepichka, V. V. (2013). Shock-wave propagation in an elastic rod with a viscoplastic external resistance. Journal of Applied Mechanics and Technical Physics, 54(6), 1016–1020.
Shats’kyi, I. P., Lyskanych, O. M. & Kornuta, V. A. (2016). Combined deformation conditions for fatigue damage indicator and well-drilling tool joint. Strength of Materials, 48(3), 469–472.
Velichkovich, A. S. (2005). Shock absorber for oil-well sucker-rod pumping unit. Chemical and Petroleum Engineering, 41(9–10), 544–546.