Mathematical Modelling and Simulation of Periodontal Ligament Using COMSOL Multiphysics

Mahmoud Moustafa; Muhammad Najib Roslly; Zuhaila Ismail; Nurul Aini Jaafar; Sharidan Shafie; Norehan Mokhtar

doi:10.2991/978-94-6463-014-5_25

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Mathematical Modelling and Simulation of Periodontal Ligament Using COMSOL Multiphysics

Authors

Mahmoud Moustafa¹, Muhammad Najib Roslly¹, Zuhaila Ismail¹, Nurul Aini Jaafar¹, Sharidan Shafie¹^{, *}, Norehan Mokhtar²

¹Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310, Johor Bahru, Johor, Malaysia

²Dental Simulation and Virtual Learning Research Excellence Consortium, Department of Dental Science, Advanced Medical and Dental Institute, Universiti Sains Malaysia, Bertam, 13200, Kepala Batas, Penang, Malaysia

^*Corresponding author. Email: sharidan@utm.my

Corresponding Author

Sharidan Shafie

Available Online 12 December 2022.

DOI: 10.2991/978-94-6463-014-5_25 How to use a DOI?
Keywords: Tooth movement; Periodontal ligament; Finite element method; COMSOL Multiphysics
Abstract: This paper investigated the mathematical modelling and simulation of periodontal ligament using COMSOL Multiphysics. The behaviour of the periodontal ligament is studied. The periodontal ligament is sandwiched between two approached parallel rigid impervious plates. The governing equations and the specified boundary conditions are introduced to describe a rectangular domain. The approximate analytical solution of the problem is verified numerically by using COMSOL Multiphysics that is based on the finite element method. A 3D realistic geometry is constructed using scans of human teeth. A detailed analysis of the stress and displacement induced by a force is obtained.
Copyright: © 2023 The Author(s)
Open Access: Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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Volume Title: Proceedings of the International Conference on Mathematical Sciences and Statistics 2022 (ICMSS 2022)
Series: Advances in Computer Science Research
Publication Date: 12 December 2022
ISBN: 978-94-6463-014-5
ISSN: 2352-538X
DOI: 10.2991/978-94-6463-014-5_25 How to use a DOI?
Open Access: Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

Cite this article

ris enw bib

TY  - CONF
AU  - Mahmoud Moustafa
AU  - Muhammad Najib Roslly
AU  - Zuhaila Ismail
AU  - Nurul Aini Jaafar
AU  - Sharidan Shafie
AU  - Norehan Mokhtar
PY  - 2022
DA  - 2022/12/12
TI  - Mathematical Modelling and Simulation of Periodontal Ligament Using COMSOL Multiphysics
BT  - Proceedings of the International Conference on Mathematical Sciences and Statistics 2022 (ICMSS 2022)
PB  - Atlantis Press
SP  - 267
EP  - 277
SN  - 2352-538X
UR  - https://doi.org/10.2991/978-94-6463-014-5_25
DO  - 10.2991/978-94-6463-014-5_25
ID  - Moustafa2022
ER  -

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