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2015•Mechanics of Advanced Materials and StructuresRequires access

Numerical analysis of dental implants using a new advanced discretization technique

Hugo Duarte, J. Rafael Andrade, L.M.J.S. Dinis, Renato Natal Jorge, J. Belinha

Open publisher page 15 citations

Abstract

In this work an advanced discretization meshless technique is applied to analyze the elastostatic behavior of implants inserted in the mandible bone. The natural neighbor radial point interpolation method (NNRPIM) is a flexible and efficient meshless method capable of predicting smooth and accurate stress fields. One of the advantages of meshless methods over the finite element method (FEM) is the complete freedom of the domain computational discretization, allowing to discretize biological structures with higher accuracy. In order to show the NNRPIM efficiency, two implant systems' numerical models are analyzed with the NNRPIM and the obtained results are compared with the FEM.

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What this paper is about

In this work an advanced discretization meshless technique is applied to analyze the elastostatic behavior of implants inserted in the mandible bone. The natural neighbor radial point interpolation method (NNRPIM) is a flexible and efficient meshless method capable of predicting smooth and accurate stress fields. One of the advantages of meshless methods over the finite element method (FEM) is the complete freedom of the domain computational discretization, allowing to discretize biological structures with higher accuracy. In order to show the NNRPIM efficiency, two implant systems' numerical models are analyzed with the NNRPIM and the obtained results are compared with the FEM.

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OpenAlex reports 15 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this work an advanced discretization meshless technique is applied to analyze the elastostatic behavior of implants inserted in the mandible bone. The natural neighbor radial point interpolation method (NNRPIM) is a flexible and efficient meshless method capable of predicting smooth and accurate stress fields. One of the advantages of meshless methods over the finite element method (FEM) is the complete freedom of the domain computational discretization, allowing to discretize biological structures with higher accuracy. In order to show the NNRPIM efficiency, two implant systems' numerical models are analyzed with the NNRPIM and the obtained results are compared with the FEM.

Key concepts: Discretization, Finite element method, Meshfree methods, Interpolation (computer graphics), Regularized meshless method, Numerical analysis, Point (geometry), Mathematics

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