Using the Finite Element Method to Determine the Odonto-Periodontal Stress for a Patient with Angle Class II Division 1 Malocclusion
The finite element method (FEM) is a computational method that can solve all biomechanical problems, including the field of orthodontics. The purpose of this virtual experimental study is to determine the behavior of a real orthodontic system subjected to different systems of loads. To analyze the r...
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MDPI AG
2023-04-01
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Series: | Diagnostics |
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Online Access: | https://www.mdpi.com/2075-4418/13/9/1567 |
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author | Mahmoud Katta Stelian-Mihai-Sever Petrescu Lucian Paul Dragomir Mihai Raul Popescu Ruxandra Voinea Georgescu Mihaela Jana Țuculină Dragoș Laurențiu Popa Alina Duță Oana Andreea Diaconu Ionela Teodora Dascălu |
author_facet | Mahmoud Katta Stelian-Mihai-Sever Petrescu Lucian Paul Dragomir Mihai Raul Popescu Ruxandra Voinea Georgescu Mihaela Jana Țuculină Dragoș Laurențiu Popa Alina Duță Oana Andreea Diaconu Ionela Teodora Dascălu |
author_sort | Mahmoud Katta |
collection | DOAJ |
description | The finite element method (FEM) is a computational method that can solve all biomechanical problems, including the field of orthodontics. The purpose of this virtual experimental study is to determine the behavior of a real orthodontic system subjected to different systems of loads. To analyze the real orthodontic system, we studied the case of a 21-year-old female patient. We used the InVesalius program, which can transform a set of DICOM-type images taken from cone beam computed tomography (CBCT) into three-dimensional structures. These structures were edited, modified, completed, and analyzed from a geometric point of view with the help of the Geomagic software. The final result of these operations must be a three-dimensional model made up of perfectly closed surfaces so that they can be transformed into virtual solids. The model consisting of perfectly closed surfaces is loaded into computer-aided design (CAD) programs. Bracket and tube components, as well as orthodontic wires, can be added to these models, similar to the analyzed patient’s tissues. When the model is complete and geometrically correct, it is exported to a program that uses FEM, such as Ansys Workbench. The simulation was performed for the forces of 0.5, 0.6, 0.7, 0.8, 0.9, and 1 N. The intention was to determine the behavior of the entire orthodontic system for these force values. After running the simulations, result maps were obtained that were composed of displacement, strain, and stress diagrams. It was also found that, in addition to the known rigidity, the orthodontic system has some elasticity due to the orthodontic wires, as well as the periodontal ligaments. Thus, a virtual analysis study can be carried out starting from a real patient with pre-treatment CBCT images and the virtual models of the bracket and tube elements and of the orthodontic wires. |
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institution | Directory Open Access Journal |
issn | 2075-4418 |
language | English |
last_indexed | 2024-03-11T04:20:52Z |
publishDate | 2023-04-01 |
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spelling | doaj.art-1c13c3821dbc45d1b6e88e7a2471c2572023-11-17T22:45:27ZengMDPI AGDiagnostics2075-44182023-04-01139156710.3390/diagnostics13091567Using the Finite Element Method to Determine the Odonto-Periodontal Stress for a Patient with Angle Class II Division 1 MalocclusionMahmoud Katta0Stelian-Mihai-Sever Petrescu1Lucian Paul Dragomir2Mihai Raul Popescu3Ruxandra Voinea Georgescu4Mihaela Jana Țuculină5Dragoș Laurențiu Popa6Alina Duță7Oana Andreea Diaconu8Ionela Teodora Dascălu9Department of Orthodontics, Faculty of Dental Medicine, University of Medicine and Pharmacy of Craiova, 200349 Craiova, RomaniaDepartment of Orthodontics, Faculty of Dental Medicine, University of Medicine and Pharmacy of Craiova, 200349 Craiova, RomaniaDepartment of Occlusology and Fixed Prosthetics, Faculty of Dental Medicine, University of Medicine and Pharmacy of Craiova, 200349 Craiova, RomaniaDepartment of Occlusology and Fixed Prosthetics, Faculty of Dental Medicine, University of Medicine and Pharmacy of Craiova, 200349 Craiova, RomaniaDepartment of Periodontology, Faculty of Dental Medicine, “Titu Maiorescu” University of Bucharest, 031593 Bucharest, RomaniaDepartment of Endodontics, Faculty of Dental Medicine, University of Medicine and Pharmacy of Craiova, 200349 Craiova, RomaniaDepartment of Automotive, Transportation and Industrial Engineering, Faculty of Mechanics, University of Craiova, 200478 Craiova, RomaniaDepartment of Automotive, Transportation and Industrial Engineering, Faculty of Mechanics, University of Craiova, 200478 Craiova, RomaniaDepartment of Endodontics, Faculty of Dental Medicine, University of Medicine and Pharmacy of Craiova, 200349 Craiova, RomaniaDepartment of Orthodontics, Faculty of Dental Medicine, University of Medicine and Pharmacy of Craiova, 200349 Craiova, RomaniaThe finite element method (FEM) is a computational method that can solve all biomechanical problems, including the field of orthodontics. The purpose of this virtual experimental study is to determine the behavior of a real orthodontic system subjected to different systems of loads. To analyze the real orthodontic system, we studied the case of a 21-year-old female patient. We used the InVesalius program, which can transform a set of DICOM-type images taken from cone beam computed tomography (CBCT) into three-dimensional structures. These structures were edited, modified, completed, and analyzed from a geometric point of view with the help of the Geomagic software. The final result of these operations must be a three-dimensional model made up of perfectly closed surfaces so that they can be transformed into virtual solids. The model consisting of perfectly closed surfaces is loaded into computer-aided design (CAD) programs. Bracket and tube components, as well as orthodontic wires, can be added to these models, similar to the analyzed patient’s tissues. When the model is complete and geometrically correct, it is exported to a program that uses FEM, such as Ansys Workbench. The simulation was performed for the forces of 0.5, 0.6, 0.7, 0.8, 0.9, and 1 N. The intention was to determine the behavior of the entire orthodontic system for these force values. After running the simulations, result maps were obtained that were composed of displacement, strain, and stress diagrams. It was also found that, in addition to the known rigidity, the orthodontic system has some elasticity due to the orthodontic wires, as well as the periodontal ligaments. Thus, a virtual analysis study can be carried out starting from a real patient with pre-treatment CBCT images and the virtual models of the bracket and tube elements and of the orthodontic wires.https://www.mdpi.com/2075-4418/13/9/1567malocclusionfinite element methodorthodontic systemperiodontal ligamentresult maps |
spellingShingle | Mahmoud Katta Stelian-Mihai-Sever Petrescu Lucian Paul Dragomir Mihai Raul Popescu Ruxandra Voinea Georgescu Mihaela Jana Țuculină Dragoș Laurențiu Popa Alina Duță Oana Andreea Diaconu Ionela Teodora Dascălu Using the Finite Element Method to Determine the Odonto-Periodontal Stress for a Patient with Angle Class II Division 1 Malocclusion Diagnostics malocclusion finite element method orthodontic system periodontal ligament result maps |
title | Using the Finite Element Method to Determine the Odonto-Periodontal Stress for a Patient with Angle Class II Division 1 Malocclusion |
title_full | Using the Finite Element Method to Determine the Odonto-Periodontal Stress for a Patient with Angle Class II Division 1 Malocclusion |
title_fullStr | Using the Finite Element Method to Determine the Odonto-Periodontal Stress for a Patient with Angle Class II Division 1 Malocclusion |
title_full_unstemmed | Using the Finite Element Method to Determine the Odonto-Periodontal Stress for a Patient with Angle Class II Division 1 Malocclusion |
title_short | Using the Finite Element Method to Determine the Odonto-Periodontal Stress for a Patient with Angle Class II Division 1 Malocclusion |
title_sort | using the finite element method to determine the odonto periodontal stress for a patient with angle class ii division 1 malocclusion |
topic | malocclusion finite element method orthodontic system periodontal ligament result maps |
url | https://www.mdpi.com/2075-4418/13/9/1567 |
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