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A sensitivity study by finite element analysis for the abutment-implant-bone system

A. A. Muraev, A. D. Tatoyan, A. A. Dolgalev, A. V. Vershinin, M. Ya. Yakovlev, S. Yu. Ivanov, D. A. Konovalov, K. A. Petrovsky and V. A. Levin

Vol. 10 (2022), No. 1, 1–20
DOI: 10.2140/memocs.2022.10.1
Abstract

We assess the influence of the parameters of the mathematical model on the results of calculating the stress-strain state of a dental implant and the surrounding bone tissue and identify the optimal indicators for the calculations.

Materials and methods: Modelling of stress-strain states was performed by solving boundary-value problems of linear elasticity (for isotropic material models) using finite element analysis (FEA). An integrated 3D model was created in ANSYS 19.5

We found 0.01 to be the optimal ratio of size of the finite element for the contact surfaces of interacting bodies to the length of the implant. The interaction of the osseo-integrated dental implant with the bone should be simulated with a conformal connection and the immediately installed and loaded implant should be simulated with a contact connection.

In conclusion, when considering linear elastic isotropic bone models, the lower the Young modulus of the cortical layer, the lower the equivalent stress: when the Young’s modulus is reduced by half, the equivalent von Mises stress is reduced by about 20%.

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Keywords
dental implant, mathematical modeling, finite element analysis, theory of elasticity, strength analysis
Mathematical Subject Classification
Primary: 65N30, 74B05, 74S05
Milestones
Received: 29 March 2021
Revised: 29 June 2021
Accepted: 2 August 2021
Published: 14 September 2022

Communicated by Victor A. Eremeyev
Authors
A. A. Muraev
The Peoples’ Friendship University of Russia
Moscow
Russia
A. D. Tatoyan
The Peoples’ Friendship University of Russia
Moscow
Russia
A. A. Dolgalev
Stavropol State Medical University
Stavropol
Russia
A. V. Vershinin
Lomonosov Moscow State University
Moscow
Russia
M. Ya. Yakovlev
Lomonosov Moscow State University
Moscow
Russia
S. Yu. Ivanov
The Peoples’ Friendship University of Russia
Moscow
Russia		 I.M. Sechenov First Moscow State Medical University
Moscow
Russia
D. A. Konovalov
Fidesys LLC
Moscow
Russia
K. A. Petrovsky
Lomonosov Moscow State University
Moscow
Russia
V. A. Levin
Lomonosov Moscow State University
Moscow
Russia