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A Finite Element Approach for Locating the Center of Resistance of Maxillary Teeth
Published on: April 8, 2020
Nonlinear finite element analyses: advances and challenges in dental applications
N Wakabayashi1, M Ona, T Suzuki
1Department of Removable Prosthodontics, School of Dentistry, Iwate Medical University, 1-3-27 Chuodori, Morioka, Iwate 020-8580, Japan. wakabayashi.rpro@tmd.ac.jp
Journal of Dentistry
|May 6, 2008
Summary
Nonlinear finite element analysis (FEA) in dentistry simulates realistic oral conditions, including periodontal ligament behavior and material properties. This advanced method enhances the understanding of dental mechanics and failure risk assessment.
Area of Science:
- Biomechanical Engineering
- Dental Materials Science
- Computational Mechanics
Background:
- Traditional linear static models in dentistry have limitations in simulating complex intra-oral conditions.
- The finite element method (FEM) offers a powerful tool for analyzing intricate biomechanical problems in dentistry.
- Advancements in computational power have enabled the application of nonlinear FEM to more realistic dental scenarios.
Purpose of the Study:
- To review the development and current applications of nonlinear finite element method (FEM) in dentistry.
- To categorize and discuss the types of nonlinear problems addressed by FEM in dental research.
- To highlight the significance of nonlinear FEM for simulating complex oral conditions and predicting failure risks.
Main Methods:
- A comprehensive literature search was conducted using keywords such as 'nonlinear', 'finite element analysis', and 'tooth/dental/implant'.
- Original research articles were selected from databases like PUBMED and MEDLINE up to November 2007.
- Reviewed studies were categorized based on the nonlinear phenomena analyzed: PDL simulations, material behaviors, and contact mechanics.
Main Results:
- Nonlinear FEM effectively simulates realistic intra-oral conditions, including nonlinear stress-strain relationships in periodontal tissues and contact phenomena.
- Analysis of interfacial mechanics is crucial for predicting failure risk at bonded tooth-restoration interfaces.
- Contact area definition significantly impacts the reliability of analyses, particularly for implant-abutment complexes.
Conclusions:
- Nonlinear FEM overcomes limitations of linear models for simulating complex dental biomechanics and contact interactions.
- Incorporating viscoelasticity and plastic deformation in dental materials will enhance FEM's application scope.
- Further advancements in nonlinear FEM solutions are encouraged to expand its utility in dental and oral health science.

