3-D FEA on the intrusion of mandibular anterior segment using orthodontic miniscrews

Hyun-Kyung Park; Eui-Hyang Sung; Young-Soo Cho; Sung-Seo Mo; Youn-Sic Chun; Kee-Joon Lee

doi:10.4041/kjod.2011.41.6.384

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Park, Sung, Cho, Mo, Chun, and Lee: 3-D FEA on the intrusion of mandibular anterior segment using orthodontic miniscrews

Original Article

Korean Journal of Orthodontics

Korean Journal of Orthodontics 2011; 41(6): 384-398.

Published online: 30 December 2011

DOI: https://doi.org/10.4041/kjod.2011.41.6.384

3-D FEA on the intrusion of mandibular anterior segment using orthodontic miniscrews

Hyun-Kyung Park, DDS, MSD^a, Eui-Hyang Sung, DDS, MSD^a, Young-Soo Cho, PhD^b, Sung-Seo Mo, DDS, MSD, PhD^c, Youn-Sic Chun, DDS, MSD, PhD^d, Kee-Joon Lee, DDS, MSD, PhD^e

^aGraduate Student, Department of Orthodontics, College of Dentisrty, Yonsei University, Korea.

^bContract Professor, Department of Mechanical Engineering BK21, Hanyang University, Korea.

^cAssistant Professor, Department of Orthodontics, St. Mary's Hospital, The Catholic University of Korea, Korea.

^dProfessor, Department of Orthodontics, Ewha Womans University Mokdong Hospital, Korea.

^eAssociate Professor, Department of Orthodontics, College of Dentisrty, Oral Science Research Center, The Institute of Craniofacial Deformity, Yonsei University, Korea.

Corresponding author: Kee-Joon Lee. Department of Orthodontics, College of Dentistry, Yonsei University, 250 Seongsanno, Seodaemun-gu, Seoul 120-752, Korea. +82 2 2228 3105; orthojn@yuhs.ac.

Received 14 December 2010 Revised 3 November 2011 Accepted 8 November 2011

Abstract

Objective

The purpose of this study was to analyze the stress distribution and the displacement pattern of mandibular anterior teeth under various intrusive force vectors according to the position of orthodontic miniscrews and hooks, using three-dimensional finite element analysis.

Methods

A three-dimensional finite element model was constructed to simulate mandibular teeth, periodontal ligament, and alveolar bone. The displacement of individual tooth on three-dimensional planes and the von Mises stress distribution were compared when various intrusion force vectors were applied.

Results

Intrusive forces applied to 4 mandibular anterior teeth largely resulted in remarkable labial tipping of the segment according to the miniscrew position. All 6 mandibular anterior teeth were labially tipped and the stress concentrated on the labiogingival area by intrusive force from miniscrews placed mesial to the canine. The distointrusive force vector led to pure intrusion and the stress was evenly distributed in the whole periodontal ligament when the hook was placed between the central and lateral incisors and the miniscrew was placed distal to the canine.

Conclusions

Within the limits of this study, it can be concluded that predictable pure intrusion of the 6 anterior teeth segment may be accomplished using miniscrews placed distal to the canine and hooks located between the central and lateral incisors.

Keywords: Miniscrew, Three-dimensional finite element analysis, Mandibular anterior segment intrusion, Stress distribution

Figures and Tables

Fig. 1

Three dimensional finite element models and coordination system. A, Mandibular 4 anterior teeth model; B, mandibular 6 anterior teeth model. X, bucco-lingual (+) lingual, (-) buccal direction; Y, anterio-posterior (+) anterior, (-) posterior direction; Z, superio-inferior (+) superior, (-) inferior direction.

Fig. 2

Force vectors for intrusion of 4 incisors segment.

Fig. 3

Force vectors for intrusion of 6 anteriors segment.

Fig. 4

Von Mises stress distribution in periodontal ligament of 4 anterior teeth by intrusion force (g/mm²) - Red color means high stress distribution and blue color means low stress distribution.

Fig. 5

100 times magnification of axis change of 4 anterior teeth.

Fig. 6

Von Mises stress distribution in periodontal ligament of 6 anterior teeth by intrusion force (g/mm²) - Red color means high stress distribution and blue color means low stress distribution.

Fig. 7

100 times magnification of axis change of 6 anterior teeth.

Fig. 8

Von Mises stress distribution in the periodontal ligament of Condition 2E before A and after B the application of large deflection theory. Red color indicates area of high stress and blue color, area of low stress. The difference is negligible.

Table 1

Material properties

Table 2

Position of hooks and miniscrews for intrusion of 4 incisors segment

Table 3

Position of hooks and miniscrews for intrusion of 6 anteriors segment

Table 4

Amount of displacement of 4 anterior teeth along each axis (mm)

CI, Central incisors; LI, lateral incisors. ^*Bucco-lingual (+) lingual, (-) buccal direction; ^†Anterio-posterior (+) anterior, (-) posterior direction; ^‡Superio-inferior (+) superior, (-) inferior direction.

Table 5

Amount of displacement of 6 anterior teeth along each axis (mm)

CI, Central incisors; LI, lateral incisors; C, canines. ^*Bucco-lingual (+) lingual, (-) buccal direction; ^†Anterioposterior (+) anterior, (-) posterior direction; ^‡Superio-inferior (+) superior, (-) inferior direction.

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