A 3-D finite element analysis on the mandibular movement pattern and stress distribution during symphyseal widening

Do-Hoon Lee; Hyun-Sil Hong; Jong-Moon Chae; Jin-Hyung Jo; Sang-Cheol Kim

doi:10.4041/kjod.2008.38.1.13

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Lee, Hong, Chae, Jo, and Kim: A 3-D finite element analysis on the mandibular movement pattern and stress distribution during symphyseal widening

Original Article

Korean Journal of Orthodontics

Korean Journal of Orthodontics 2008; 38(1): 13-30.

Published online: 29 February 2008

DOI: https://doi.org/10.4041/kjod.2008.38.1.13

A 3-D finite element analysis on the mandibular movement pattern and stress distribution during symphyseal widening

Do-Hoon Lee, DDS, MSD^a, Hyun-Sil Hong, DDS, MSD^a, Jong-Moon Chae, DDS, MSD, PhD^b, Jin-Hyung Jo, DDS, MSD^b, Sang-Cheol Kim, DDS, MSD, PhD^c

^aGraduate student, Department of Orthodontics, School of Dentistry, Wonkwang University, Korea.

^bAssistant professor, Department of Orthodontics, School of Dentistry, Wonkwang University, Korea.

^cProfessor, Department of Orthodontics, School of Dentistry, Wonkwang University, Korea.

Corresponding author: Sang-Cheol Kim. Department of Orthodontics, School of Dentistry, Wonkwang University, 344-2, Shinyong-dong , Iksan, Jeonbuk, 570-749, Korea. +82 63 859 2960; sangkim@wku.ac.kr

Received 19 July 2007 Revised 28 December 2007 Accepted 30 December 2007

Abstract

Objective

The objective of this study was to evaluate the displacement pattern and the stress distribution of the finite element model 3-D visualization during symphyseal widening according to the osteotomy position, osteotomy type, and distraction device.

Methods

The kinds of distraction devices used were tooth-borne type, hybrid type, bone-borne type and tooth-borne type 30° angulated, and the kinds of osteotomy design were vertical osteotomy line between the central incisors and step osteotomy line through the symphysis.

Results

All reference points of the mandible including the condyles were displaced laterally irrespective of the osteotomy position, osteotomy method and distraction device. The anteroposterior or vertical displacements showed small differences between the groups. The widening pattern of the osteotomy line in the tooth-borne type of device was v shaped, and that of bone-borne type was a reverse v shape. However, the pattern in the hybrid type was parallel. The lateral displacement of the mandibular angle by the bone-borne device was more remarkable than the other types of devices. The displacement by the 30° angulated tooth-borne type was different between the left and right sides in both the transverse and anteroposterior aspects.

Conclusion

The design of the distraction devices and osteotomy line can influence the displacement pattern and the stress distribution during mandibular symphyseal distraction osteogenesis procedures.

Keywords: Symphyseal widening, Osteotomy, Distraction device, 3-D finite element analysis

Figures and Tables

Fig 1

Tooth-borne type distraction device.

Fig 2

Hybrid type distraction device.

Fig 3

Bone-borne type distraction device.

Fig 4

Tooth-borne type distraction device, horizontally angulated by 30°.

Fig 5

Reference points of control group.

Fig 6

Reference points of vertical osteotomy between lower central incisors.

Fig 7

Reference points of stepwise osteotomy through symphysis.

Fig 8

X-axis displacement of control groups (mm).

Fig 9

Y-axis displacement of control groups (mm).

Fig 10

Z-axis displacement of control groups (mm).

Fig 11

Displacement contour of experimental group 1 (tooth borne type in vertical osteotomy between central incisors)

Fig 12

Deformed and undeformed pattern of experimental group 1.

Fig 13

Von Mises stress contour of experimental group 1 (labial view).

Fig 14

Von Mises stress contour of experimental group 1 (lingual view).

Fig 15

X-axis displacement of groups of vertical osteotomy between central incisors (mm).

Fig 16

Y-axis displacement of groups of vertical osteotomy between central incisors (mm).

Fig 17

Z-axis displacement of groups of vertical osteotomy between central incisors (mm).

Fig 18

X-axis displacement of groups of stepwise osteotomy through symphysis (mm).

Fig 19

Y-axis displacement of groups of stepwise osteotomy through symphysis (mm).

Fig 20

Z-axis displacement of groups of stepwise osteotomy through symphysis (mm).

Table 1

Number of elements and nodes in the finite element model

Table 2

Mechanical properties of tooth, periodontal membrane, cortical bone, trabecular bone, and distraction device

Table 3

Direction of muscular orthogonal components derived as unit vectors (i.e., direction cosines) from single vectors of muscular attachment

When seen from frontal view, the x-y plane was parallel to the floor, with the +x axis oriented toward the right, the +y axis oriented forward (anteriorly), and the +z axis running down.

Table 4

Weighting and scaling factors, magnitude of total muscle force assigned to muscles

Table 5

Control and experimental groups

Tooth-borne 30, tooth borne type horizontally angulated by 30°.

Table 6

Total displacement and von Mises stress on control groups

Tooth-borne 30, tooth borne type horizontally angulated by 30°.

Table 7

Total displacement and von Mises stress on groups of vertical osteotomy between central incisors

Tooth-borne 30, tooth borne type horizontally angulated by 30°.

Table 8

Total displacement and Von Mises stress on groups of stepwise osteotomy through symphysis

Tooth-borne 30, tooth borne type horizontally angulated by 30°.

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