Finite element analysis of maxillary anterior teeth retraction of posterior teeth with different alveolar bone absorption heights under orthodontic force

doi:10.7518/hxkq.2019.03.007

Abstract

Abstract:

Objective This study applied the direct orthodontic force system to explore the applicability of the finite element method in the simulation of alveolar bone absorption and analyze periodontal stress distribution and the overall displacement trend. Methods The horizontal balanced alveolar bones of model 2, 3 and 4 were reduced by 2, 4, and 6 mm by deleting elements in reference to the established height of the normal alveolar bone model 1. Then, stress distribution on the posterior set of teeth and initial total tooth displacement under the simulated load of 1.47 N of orthodontic force were investigated. Results The total displacement of posterior teeth increased and parodontium Von Mises stress gradually increased as the alveolar bone height decreased. The total displacement trend and parodontium stress drastically increased when alveolar bone absorption reached the height of 4 mm. Conclusion When treating patients with alveolar bone loss, stress should be avoided or drastically reduced to prevent irreversible damage to periodontal tissue and to improve the quality of medical treatment.

Key words: orthodontic force, adduction front teeth, alveolar bone, finite element

CLC Number:

R783.5

Zhitao Sun,Yucheng Wang,Yumei Cui,Yang Sun. Finite element analysis of maxillary anterior teeth retraction of posterior teeth with different alveolar bone absorption heights under orthodontic force[J]. West China Journal of Stomatology, 2019, 37(3): 265-269.

Figures/Tables 6

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References 16

[1]	Cattaneo PM, Dalstra M, Melsen B . The transfer of occlusal forces through the maxillary molars: a finite element study [J].Am J Orthod Dentofacial Orthop, 2003,123(4):367-373. doi: 10.1067/mod.2003.73 URL
[2]	Tanne KZ, Sakuda M, Burstone CJ . Three-dimensional finite element analysis for stress in the periodontal tissue by orthodontic forces[J]. Am J Orthod Dentofacial Orthop, 1987,92(6):499-505. doi: 10.1016/0889-5406(87)90232-0 URL pmid: 3479896
[3]	Jeon PD, Turley PK, Ting K . Three-dimensional finite element analysis of stress in the periodontal ligament of the maxillary first molar with simulated bone loss[J]. Am J Orthod Dentofacial Orthop, 2001,119(5):498-504. doi: 10.1067/mod.2001.112999 URL
[4]	金晶 . 微种植体支抗整体内收及压低上颌前牙的三维有限元分析[D]. 西安: 第四军医大学, 2015: 1-55.
	Jin J . A finite element analysis of en-mass retraction of maxillary anterior teeth with vertical traction[D]. Xi’an:The Fourth Military Medical University, 2015: 1-55.
[5]	Sung EH, Kim SJ, Chun YS , et al. Distalization pattern of whole maxillary dentition according to force application points[J]. Korean J Orthod, 2015,45(1):20-28. doi: 10.4041/kjod.2015.45.1.20 URL
[6]	Jiang W, Bo H, Yongchun G , et al. Stress distribution in molars restored with inlays or onlays with or without endodontic treatment: a three-dimensional finite element analysis[J]. J Prosthet Dent, 2010,103(1):6-12. doi: 10.1016/S0022-3913(09)60206-7 URL
[7]	Ammar HH, Ngan P, Crout RJ , et al. Three-dimensional modeling and finite element analysis in treatment planning for orthodontic tooth movement[J]. Am J Orthod Dentofacial Orthop, 2011,139(1):e59-e71. doi: 10.1016/j.ajodo.2010.09.020 URL
[8]	Chatzigianni A, Keilig L, Duschner H , et al. Comparative analysis of numerical and experimental data of orthodontic mini-implants[J]. Eur J Orthod, 2011,33(5):468-475. doi: 10.1093/ejo/cjr097 URL pmid: 21852288
[9]	Yoshida N, Koga Y, Peng CL , et al. In vivo measurement of the elastic modulus of the human periodontal ligament[J]. Med Eng Phys, 2001,23(8):567-572. doi: 10.1016/S1350-4533(01)00073-X URL
[10]	吕晶晶, 米丛波 . 牙周膜的生物力学性能[J]. 国际口腔医学杂志, 2014,41(3):362-364. doi: 10.7518/gjkq.2014.03.027
	Lü JJ, Mi CB . Research progress on biomechanics of periodontal ligament[J]. Int J Stomatol, 2014,41(3):362-364. doi: 10.7518/gjkq.2014.03.027
[11]	Geramy A . Initial stress produced in the periodontal membrane by orthodontic loads in the presence of varying loss of alveolar bone: a three-dimensional finite element analysis[J]. Eur J Orthod, 2002,24(1):21-33. doi: 10.1093/ejo/24.1.21 URL
[12]	陈凤山, 杨陆一, 梁傥 . 矫治力作用于不同高度牙槽骨其牙周组织的应力分析[J]. 口腔正畸学, 1999,6(3):106-108.
	Chen FS, Yang LY, Liang T . The orthodontic force was used to analyze the stress of periodontal tissue of alveolar bone with different height[J]. Chin J Orthod, 1999,6(3):106-108.
[13]	李世清, 舒昶 . 材料力学[M]. 重庆: 重庆大学出版社, 1998: 124-156.
	Li SQ, Shu C. Mechanics of materials[M]. Chongqing: Chongqing University Press, 1998: 124-156.
[14]	傅晓峰, 王林, 浦广益 . 不同牙槽骨高度条件下上颌牙列牙周组织应力分布的三维有限元分析[J]. 口腔医学, 2006,26(6):434-436.
	Fu XF, Wang L, Pu GY . Three-dimensional finite element analyses of stress distribution on periodontal tissue of maxillary dentition under various alveolar bone altitude conditions[J]. Stomatology, 2006,26(6):434-436.
[15]	Lee BW . Relationship between tooth-movement rate and estimated pressure applied[J]. J Dent Res, 1965,44(5):1053. doi: 10.1177/00220345650440051001 URL
[16]	钟先瑜, 徐佳蕊, 张理红 . 牙周吸收情况下上颌切牙的三维有限元分析[J]. 广东牙病防治, 2015,23(12):647-650.
	Zhong XY, Xu JR, Zhang LH . Three dimensional finite element analysis of upper incisors under reduced periodontal supporting[J]. J Dent Prev Treat, 2015,23(12):647-650.

材料类型	泊松比	弹性模量/MPa
牙齿	0.3	20 700
上颌牙槽骨	0.3	14 700
不锈钢方丝	0.3	176 000
托槽	0.3	206 000
牙周膜	0.45	0.667

牙槽骨吸收程度/mm	节点数	单元数
0	156 364	62 177
2	197 983	77 771
4	181 057	71 284
6	156 298	63 331