Full Text:   <967>

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Suppl. Mater.: 

CLC number: R783.5

On-line Access: 2018-07-04

Received: 2017-04-07

Revision Accepted: 2017-07-31

Crosschecked: 2018-06-06

Cited: 0

Clicked: 1496

Citations:  Bibtex RefMan EndNote GB/T7714

 ORCID:

Jian-lei Wu

https://orcid.org/0000-0002-5470-5626

Yun-feng Liu

https://orcid.org/0000-0001-8487-0078

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Journal of Zhejiang University SCIENCE B 2018 Vol.19 No.7 P.535-546

http://doi.org/10.1631/jzus.B1700195


A biomechanical case study on the optimal orthodontic force on the maxillary canine tooth based on finite element analysis


Author(s):  Jian-lei Wu, Yun-feng Liu, Wei Peng, Hui-yue Dong, Jian-xing Zhang

Affiliation(s):  Key Laboratory of E&M (Zhejiang University of Technology), Ministry of Education & Zhejiang Province, Hangzhou 310014, China; more

Corresponding email(s):   liuyf76@126.com

Key Words:  Biomechanics, Optimal orthodontic force, Finite element analysis, Periodontal ligament


Jian-lei Wu, Yun-feng Liu, Wei Peng, Hui-yue Dong, Jian-xing Zhang. A biomechanical case study on the optimal orthodontic force on the maxillary canine tooth based on finite element analysis[J]. Journal of Zhejiang University Science B, 2018, 19(7): 535-546.

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%T A biomechanical case study on the optimal orthodontic force on the maxillary canine tooth based on finite element analysis
%A Jian-lei Wu
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%A Wei Peng
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A1 - Jian-lei Wu
A1 - Yun-feng Liu
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A1 - Jian-xing Zhang
J0 - Journal of Zhejiang University Science B
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DOI - 10.1631/jzus.B1700195


Abstract: 
Excessive forces may cause root resorption and insufficient forces would introduce no effect in orthodontics. The objective of this study was to investigate the optimal orthodontic forces on a maxillary canine, using hydrostatic stress and logarithmic strain of the periodontal ligament (PDL) as indicators. Finite element models of a maxillary canine and surrounding tissues were developed. Distal translation/tipping forces, labial translation/tipping forces, and extrusion forces ranging from 0 to 300 g (100 g=0.98 N) were applied to the canine, as well as the force moment around the canine long axis ranging from 0 to 300 g·mm. The stress/strain of the PDL was quantified by nonlinear finite element analysis, and an absolute stress range between 0.47 kPa (capillary pressure) and 12.8 kPa (80% of human systolic blood pressure) was considered to be optimal, whereas an absolute strain exceeding 0.24% (80% of peak strain during canine maximal moving velocity) was considered optimal strain. The stress/strain distributions within the PDL were acquired for various canine movements, and the optimal orthodontic forces were calculated. As a result the optimal tipping forces (40–44 g for distal-direction and 28–32 g for labial-direction) were smaller than the translation forces (130–137 g for distal-direction and 110–124 g for labial-direction). In addition, the optimal forces for labial-direction motion (110–124 g for translation and 28–32 g for tipping) were smaller than those for distal-direction motion (130–137 g for translation and 40–44 g for tipping). Compared with previous results, the force interval was smaller than before and was therefore more conducive to the guidance of clinical treatment. The finite element analysis results provide new insights into orthodontic biomechanics and could help to optimize orthodontic treatment plans.

基于有限元分析的上颌尖牙最佳正畸力的生物力学探究

目的:探究上颌尖牙在不同移动方式下的最佳正畸力.
创新点:综合考虑牙周膜的静水压应力和对数应变,进一步优化尖牙移动的最佳正畸力区间.
方法:对尖牙施加范围在0~300 g(100 g=0.98 N)的远中向、唇向和拔出向的整体移动力和倾斜移动力,以及范围在0~300 g·mm的绕尖牙牙长轴向的扭转力矩,通过非线性有限元分析对牙周膜的应力应变进行定量评价.约定牙周膜应力在 0.47 kPa(毛细血管压力)至12.8 kPa(人类心脏收缩压力的80%)之间的为最佳应力;以及牙周膜应变大于0.24%(尖牙最大移动速度时的牙周膜应变的80%)为最佳应变.
结论:尖牙倾斜移动时的最佳正畸力范围(远中向为40~44 g,唇向为28~32 g)小于其整体移动(远中向为130~137 g,唇向为110~124 g);尖牙远中向移动时的最佳正畸力范围(整体移动为110~124 g,倾斜移动为28~32 g)小于其唇向移动(整体移动为130~137 g,倾斜移动为40~44 g).与已有的研究结果相比,最佳正畸力范围进一步缩小,对临床正畸治疗具有较好的指导意义.

关键词:生物力学;最佳正畸力;有限元分析;牙周膜

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

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[31]List of electronic supplementary materials

[32]Fig. S1 Hydrostatic stress distribution of canine PDL with distal-direction translation under force

[33]Fig. S2 Hydrostatic stress distribution of canine PDL with distal-direction tipping movement under force

[34]Fig. S3 Hydrostatic stress distribution of canine PDL with labial-direction translation under force

[35]Fig. S4 Hydrostatic stress distribution of canine PDL with labial-direction tipping movement under force

[36]Fig. S5 Hydrostatic stress distribution of canine PDL with extrusion under force

[37]Fig. S6 Hydrostatic stress distribution of canine PDL with rotation around long axis under force moment

[38]Fig. S7 Logarithmic strain distribution of canine PDL with distal-direction translation under force

[39]Fig. S8 Logarithmic strain distribution of canine PDL with distal-direction tipping movement under force

[40]Fig. S9 Logarithmic strain distribution of canine PDL with labial-direction translation under force

[41]Fig. S10 Logarithmic strain distribution of canine PDL with labial-direction tipping movement under force

[42]Fig. S11 Logarithmic strain distribution of canine PDL with extrusion under force

[43]Fig. S12 Logarithmic strain distribution of canine PDL with rotation around long axis under force moment

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