An Overview of Basic Concepts of Finite Element Analysis and Its Applications in Orthodontics

Shafagh Rastegari, S. M. Hosseini, Mojtaba Hasani, A. Jamilian
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Abstract

Purpose: The aim of this article is to acquaint the readers with the aims and goals of the finite element method and how to use it in dentistry and especially in orthodontics. Methods: The finite element method (FEM) has shown to be a beneficial research tool that has assisted scientists in various analyses such as stress-strain, heat transfer, dynamic, collision, and deformation analyses. The FEM is responsible for predicting the behavior of objects under different working conditions. It is a computational procedure to measure the stress in an element, which performs a model solution to solve a problem; the FEM subdivides a large system into smaller, simpler parts called finite elements. This is achieved by a particular space discretization in the space dimensions, which is implemented by the construction of a mesh of the object. The technique of FEA lies in the development of a suitable mesh arrangement. Conclusions: The FEM can be effective in understanding the behavior of teeth, both jaws, craniofacial structure, and other hard tissue structures of humans under various working conditions, as the technique allows for evaluating tooth movement and the stress distribution within the surrounding alveolar bone, the periodontal ligament (PDL). This technique is exceptionally valuable for evaluating mechanical aspects of biomaterials and human tissues that can hardly be measured in vivo. This review article presents the FEM, its methodology, and its application in the orthodontic domain.
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有限元分析的基本概念及其在正畸学中的应用综述
目的:本文的目的是让读者熟悉有限元法的目的和目标,以及如何在牙科,特别是正畸中使用它。方法:有限元法(FEM)已被证明是一种有益的研究工具,它已帮助科学家进行各种分析,如应力应变、传热、动态、碰撞和变形分析。有限元法负责预测物体在不同工况下的行为。测量某一单元的应力是一个计算过程,对某一问题进行模型求解;有限元法将一个大系统分成更小、更简单的部分,称为有限元。这是通过空间维度的特定空间离散化来实现的,这是通过构建对象的网格来实现的。有限元分析技术的关键在于如何设计合适的网格结构。结论:有限元法可以有效地理解人类在各种工作条件下的牙齿、双颌、颅面结构和其他硬组织结构的行为,因为该技术可以评估牙齿的运动和周围牙槽骨、牙周韧带(PDL)内的应力分布。这项技术对于评估生物材料和人体组织的力学方面非常有价值,这些方面很难在体内测量。本文综述了有限元方法及其在正畸领域的应用。
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