中国组织工程研究 ›› 2025, Vol. 29 ›› Issue (22): 4671-4678.doi: 10.12307/2025.435

• 组织工程口腔材料 tissue-engineered oral materials • 上一篇    下一篇

不同厚度及刚性隐形矫治器内收上颌前牙的有限元分析

杨天梅1,王  婧1,马福娟1,张  俭1,葛振林2   

  1. 1兰州大学,甘肃省兰州市   730000;2兰州大学口腔医学院正畸科,甘肃省兰州市   730000
  • 收稿日期:2024-03-11 接受日期:2024-05-09 出版日期:2025-08-08 发布日期:2024-12-05
  • 通讯作者: 葛振林,教授,硕士生导师,主任医师,兰州大学口腔医院正畸科,甘肃省兰州市 730000
  • 作者简介:杨天梅,女,1996年生,宁夏回族自治区银川市人,回族,兰州大学口腔医学院硕士,主要从事口腔正畸临床医疗技能训练与研究。

Finite element analysis of internally retracted maxillary anterior teeth with clear aligners of different thicknesses and stiffness

Yang Tianmei1, Wang Jing1, Ma Fujuan1, Zhang Jian1, Ge Zhenlin2   

  1. 1Lanzhou University, Lanzhou 730000, Guansu Province, China; 2Department of Orthodontics, School of Stomatology, Lanzhou University, Lanzhou 730000, Guansu Province, China
  • Received:2024-03-11 Accepted:2024-05-09 Online:2025-08-08 Published:2024-12-05
  • Contact: Ge Zhenlin, Professor, Master’s supervisor, Chief physician, Department of Orthodontics, School of Stomatology, Lanzhou University, Lanzhou 730000, Guansu Province, China
  • About author:Yang Tianmei, Master, Lanzhou University, Lanzhou 730000, Gansu Province, China

摘要:


文题释义:

弹性模量:又称杨氏模量,是材料刚性的度量参数,可以定义为应力与相应应变之间的比率。

三维有限元分析法:是一种计算机模拟结构力学分析方法,将一个连续体离散为有限个单元,构建几何相似性好和精确度高的三维模型,计算加载模型任意部位的应力、应变和位移情况,同时能够模拟各种材料属性。三维有限元分析法因测量精度高、无创性已广被应用于口腔生物力学分析。


背景:隐形矫治器因其特殊的材料性能,在拔除上颌第一前磨牙内收前牙关闭间隙过程中更易发生“过山车效应”,牙齿倾斜移动,导致前牙覆牙合加深、后牙开牙合。是否可以通过改变矫治器厚度或刚性减轻“过山车效应”,更好地控制正畸牙移动,目前相关研究较少。
目的:通过三维有限元分析不同厚度及刚性隐形矫治器内收上颌前牙时控制牙齿移动能力方面的差异。
方法:将侧貌凸患者的锥形束CT数据导入Mimics等软件,模拟临床病例,构建去除第一前磨牙后包括上颌骨、牙齿、牙周膜的三维有限元模型,装配0.50,0.75 mm 2种厚度膜片的隐形矫治器,通过软件加载1 000,2 000 MPa 2种弹性模量的材料属性,总共构建4组模型工况。按照临床矫治方案设计关闭拔牙间隙,在Workbench 2023 R1软件中加载并计算,分析牙周膜应力分布、牙齿位移趋势及牙齿初始位移量。

结果与结论:①4种模型工况下的牙周膜Von-Mises应力分布规律一致,牙周膜最大等效应力主要分布在牙颈部,并且矫治器膜片越厚牙周膜Von-Mises应力越大、矫治器膜片弹性模量越大牙周膜Von-Mises应力越大;②4种模型工况下的上颌牙列整体位移趋势为前牙冠舌向、根唇向的移动,后牙冠近中移动、根远中移动,牙齿的冠、根位移方向均相反,牙冠位移量大于牙根位移量;除尖牙外,其余牙齿均呈现矫治器膜片越厚R/C值(牙根移动量与冠移动量比值)越小、矫治器膜片弹性模量越大R/C值越小的趋势;③结果表明,利用隐形矫治器内收上颌前牙时,在不设计切牙转矩补偿的情况下牙齿表现为倾斜移动趋势,矫治器厚度和弹性模量越大时对牙齿控的制能力越强,牙齿倾斜移动趋势减小;尖牙则需通过其他辅助手段进行控制。

https://orcid.org/0009-0008-9006-1005 (杨天梅) 

中国组织工程研究杂志出版内容重点:生物材料;骨生物材料;口腔生物材料;纳米材料;缓释材料;材料相容性;组织工程

关键词: 隐形矫治器, 内收前牙, 弹性模量, 膜片厚度, 有限元分析, 生物力学

Abstract: BACKGROUND: Clear aligners, due to their special material properties, are more prone to the “roller coaster effect” during the process of extracting the maxillary first premolar and closing the gap by retracting the anterior teeth, tilting and moving the teeth, leading to deepening of the anterior overjet and opening of the posterior teeth. There are fewer related studies at present concerning whether the thickness or stiffness of the aligner can be changed to reduce the “roller coaster effect” and better control the orthodontic tooth movement,.
OBJECTIVE: To analyze the differences in tooth movement control ability of clear aligners of different thicknesses and stiffness when internally retracting maxillary anterior teeth by means of the three-dimensional finite element method.
METHODS: Cone beam CT data of patients with convex profile were imported into Mimics and other software to simulate clinical cases. Three-dimensional finite element models were constructed to remove the first premolars, including the maxilla, teeth, and periodontal ligaments, while the diaphragms of clear aligners with thicknesses of 0.50 mm and 0.75 mm were assembled. Four sets of working conditions were created by loading the material properties of two Young’s modulus of 1 000 MPa and 2 000 MPa. According to the clinical design to close of the extraction gap, and analyze the distribution of periodontal ligament stress, the displacement trend and the initial displacement of the teeth after loading and calculating in Workbench 2023 R1 software.
RESULTS AND CONCLUSION: (1) The Von-Mises stress distribution pattern of periodontal ligament was consistent among the four working conditions, with the maximum value mainly distributed at the cervical part of teeth. The thicker diaphragm of the aligner, the higher the Von-Mises stress; the higher Young’s modulus of the aligner, the higher the Von-Mises stress. (2) Under the four working conditions, the overall displacement trend of the maxillary dentition was that the crowns of the anterior teeth moved towards the lingual side and the roots towards the labial side, while the crowns of the posterior teeth moved towards the proximal-medial side and the roots towards the distal-medial side, and it was observed that the crown-root displacements of the teeth were in the opposite direction in all the conditions, and that the displacement of the crowns was greater than the displacement of the roots. Except for canines, the thicker the aligner diaphragm, the lower the R/C value (root-crown displacement ratio); the higher the modulus of elasticity of the aligner diaphragm, the lower the R/C value. (3) The results showed that when the maxillary anterior teeth were internally retracted using invisible aligners, the teeth showed a tendency to tilt and move without incisor torque compensation being designed; the greater the thickness of the aligner and the elastic modulus, the greater the control of the teeth, and the tendency of the teeth to tilt and move decreased; and the cuspids had to be controlled by other auxiliary means.

Key words: clear aligners, anterior retraction, elastic modulus, aligner thickness, finite element analysis, biomechanics

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