College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou, China Department of Mechanical and Energy Engineering, Indiana University Purdue University Indianapolis, Indianapolis, Ind; Department of Mechanical and Energy Engineering, Indiana University Purdue University Indianapolis, Indianapolis, Ind.
Department of Mechanical and Energy Engineering, Indiana University Purdue University Indianapolis, Indianapolis, Ind.
Am J Orthod Dentofacial Orthop. 2022 Dec;162(6):e328-e336. doi: 10.1016/j.ajodo.2022.09.008. Epub 2022 Oct 26.
Finite element (FE) method has been used to calculate stress in the periodontal ligament (PDL), which is crucial in orthodontic tooth movement. The stress depends on the PDL material property, which varies significantly in previous studies. This study aimed to determine the effects of different PDL properties on stress in PDL using FE analysis.
A 3-dimensional FE model was created consisting of a maxillary canine, its surrounding PDL, and alveolar bone obtained from cone-beam computed tomography scans. One Newton of intrusion force was applied vertically to the crown. Then, the hydrostatic stress and the von Mises stress in the PDL were computed using different PDL material properties, including linear elastic, viscoelastic, hyperelastic, and fiber matrix. Young's modulus (E), used previously from 0.01 to 1000 MPa, and 3 Poisson's ratios, 0.28, 0.45, and 0.49, were simulated for the linear elastic model.
The FE analyses showed consistent patterns of stress distribution. The high stresses are mostly concentrated at the apical area, except for the linear elastic models with high E (E >15 MPa). However, the magnitude varied significantly from -14.77 to -127.58 kPa among the analyzed patients. The E-stress relationship was not linear. The Poisson's ratio did not affect the stress distribution but significantly influenced the stress value. The hydrostatic stress varied from -14.61 to -95.48 kPa.
Different PDL material properties in the FE modeling of dentition do not alter the stress distributions. However, the magnitudes of the stress significantly differ among the patients with the tested material properties.
有限元(FE)方法已被用于计算牙周韧带(PDL)中的应力,这在正畸牙齿移动中至关重要。该应力取决于牙周韧带材料特性,而在先前的研究中,该特性变化很大。本研究旨在使用有限元分析确定不同牙周韧带特性对牙周韧带中应力的影响。
创建了一个由上颌尖牙、其周围的牙周韧带和牙槽骨组成的三维有限元模型,这些都是从锥形束计算机断层扫描中获得的。在牙冠上垂直施加 1 牛顿的侵入力。然后,使用不同的牙周韧带材料特性(包括线弹性、粘弹性、超弹性和纤维基质)计算牙周韧带中的静水压力和 von Mises 应力。线弹性模型中使用的杨氏模量(E)之前模拟了 0.01 到 1000 MPa 的范围以及 3 个泊松比,0.28、0.45 和 0.49。
FE 分析显示出一致的应力分布模式。高应力主要集中在根尖区域,除了具有高 E(E>15 MPa)的线弹性模型。然而,在分析的患者中,其值在-14.77 到-127.58 kPa 之间变化显著。E-应力关系不是线性的。泊松比不会影响应力分布,但会显著影响应力值。静水压力从-14.61 到-95.48 kPa 不等。
在牙列的 FE 建模中,不同的牙周韧带材料特性不会改变应力分布。然而,在测试的材料特性中,患者之间的应力值有很大差异。