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[非线性有限元法分析上颌第一磨牙远中移动时牙周膜的应力]

[Analysis of stress in periodontal ligament of the maxillary first molar on distal movement by nonlinear finite element method].

作者信息

Dong Jing, Zhang Zhe-chen, Zhou Guo-liang

机构信息

Department of Stomatology, Lianyungang Chinese Medicine Hospital. Lianyungang 222004, Jiangsu Province; China.E-mail:

出版信息

Shanghai Kou Qiang Yi Xue. 2015 Jun;24(3):315-20.

Abstract

PURPOSE

To analyze the stress distribution in periodontal ligament of maxillary first molar during distal movement with nonlinear finite element analysis, and to compare it with the result of linear finite element analysis, consequently to provide biomechanical evidence for clinical application.

METHODS

The 3-D finite element model including a maxillary first molar, periodontal ligament, alveolar bone, cancellous bone, cortical bone and a buccal tube was built up by using Mimics, Geomagic, ProE and Ansys Workbench. The material of periodontal ligament was set as nonlinear material and linear elastic material, respectively. Loads of different combinations were applied to simulate the clinical situation of distalizing the maxillary first molar.

RESULTS

There were channels of low stress in peak distribution of Von Mises equivalent stress and compressive stress of periodontal ligament in nonlinear finite element model. The peak of Von Mises equivalent stress was lower when it was satisfied that Mt/F minus Mr/F approximately equals 2. The peak of compressive stress was lower when it was satisfied that Mt/F was approximately equal to Mr/F. The relative stress of periodontal ligament was higher and violent in linear finite element model and there were no channels of low stress in peak distribution.

CONCLUSIONS

There are channels in which stress of periodontal ligament is lower. The condition of low stress should be satisfied by applied M/F during the course of distalizing the maxillary first molar.

摘要

目的

采用非线性有限元分析方法分析上颌第一磨牙远中移动过程中牙周膜的应力分布情况,并与线性有限元分析结果进行比较,从而为临床应用提供生物力学依据。

方法

利用Mimics、Geomagic、ProE和Ansys Workbench建立包含上颌第一磨牙、牙周膜、牙槽骨、松质骨、皮质骨和颊面管的三维有限元模型。牙周膜材料分别设置为非线性材料和线弹性材料。施加不同组合的载荷以模拟上颌第一磨牙远中移动的临床情况。

结果

非线性有限元模型中牙周膜的Von Mises等效应力和压应力峰值分布存在低应力通道。当Mt/F减去Mr/F约等于2时,Von Mises等效应力峰值较低。当Mt/F约等于Mr/F时,压应力峰值较低。线性有限元模型中牙周膜的相对应力较高且变化剧烈,峰值分布中不存在低应力通道。

结论

牙周膜存在应力较低的通道。在上颌第一磨牙远中移动过程中,应通过施加M/F满足低应力条件。

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