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Finite Elements Analysis of Tooth—A Comparative Analysis of Multiple Failure Criteria

Author

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  • Radu Andrei Moga

    (Department of Cariology, Endodontics and Oral Pathology, School of Dental Medicine, University of Medicine and Pharmacy Iuliu Hatieganu, Str. Motilor 33, 400001 Cluj-Napoca, Romania)

  • Cristian Doru Olteanu

    (Department of Orthodontics, School of Dental Medicine, University of Medicine and Pharmacy Iuliu Hatieganu, Str. Avram Iancu 31, 400083 Cluj-Napoca, Romania)

  • Botez Mircea Daniel

    (Department of Structural Mechanics, School of Civil Engineering, Technical University of Cluj-Napoca, Str. Memorandumului 28, 400114 Cluj-Napoca, Romania)

  • Stefan Marius Buru

    (Department of Structural Mechanics, School of Civil Engineering, Technical University of Cluj-Napoca, Str. Memorandumului 28, 400114 Cluj-Napoca, Romania)

Abstract

Herein Finite elements analysis (FEA) study assesses the adequacy and accuracy of five failure criteria (Von Mises (VM), Tresca, maximum principal (S1), minimum principal (S3), and Hydrostatic pressure) for the study of tooth as a structure (made of enamel, dentin, and cement), along with its stress absorption–dissipation ability. Eighty-one 3D models of the second lower premolar (with intact and 1–8 mm reduced periodontium) were subjected to five orthodontic forces (intrusion, extrusion, tipping, rotation, and translation) of 0.5 N (approx. 50 gf) (in a total of 405 FEA simulations). Only the Tresca and VM criteria showed biomechanically correct stress display during the 0–8 mm periodontal breakdown simulation, while the other three showed various unusual biomechanical stress display. All five failure criteria displayed comparable quantitative stress results (with Tresca and VM producing the highest of all), showing the rotational and translational movements to produce the highest amount of stress, while intrusion and extrusion, the lowest. The tooth structure absorbed and dissipated most of the stress produced by the orthodontic loads (from a total of 0.5 N/50 gf only 0.125 N/12.5 gf reached PDL and 0.01 N/1 gf the pulp and NVB). The Tresca criterion seems to be more accurate than Von Mises for the study of tooth as structure.

Suggested Citation

  • Radu Andrei Moga & Cristian Doru Olteanu & Botez Mircea Daniel & Stefan Marius Buru, 2023. "Finite Elements Analysis of Tooth—A Comparative Analysis of Multiple Failure Criteria," IJERPH, MDPI, vol. 20(5), pages 1-25, February.
    • Handle: RePEc:gam:jijerp:v:20:y:2023:i:5:p:4133-:d:1080432
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    References listed on IDEAS

    as
    1. Steven W McCormack & Ulrich Witzel & Peter J Watson & Michael J Fagan & Flora Gröning, 2017. "Inclusion of periodontal ligament fibres in mandibular finite element models leads to an increase in alveolar bone strains," PLOS ONE, Public Library of Science, vol. 12(11), pages 1-23, November.
    2. Jianlei Wu & Yunfeng Liu & Dongcai Wang & Jianxing Zhang & Xingtao Dong & Xianfeng Jiang & Xu Xu, 2019. "Investigation of effective intrusion and extrusion force for maxillary canine using finite element analysis," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 22(16), pages 1294-1302, December.
    3. Radu Andrei Moga & Stefan Marius Buru & Cristian Doru Olteanu, 2022. "Assessment of the Best FEA Failure Criteria (Part II): Investigation of the Biomechanical Behavior of Dental Pulp and Apical-Neuro-Vascular Bundle in Intact and Reduced Periodontium," IJERPH, MDPI, vol. 19(23), pages 1-17, November.
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