The effect of labial inclination on intrusion of the upper and lower incisors by three-dimensional finite element analysis

This study was designed to investigate the position of anteroposterior center of resistance for genuine intrusion and the mode of change of the minimum distal force for simultanous intrusion and retraction of the upper and lower incisors according to the increase of labial inclination. For this purpose, we used the three-piece intrusion arch appliance and three-dimensional finite element models of upper and lower incisors. 1. Positions of the center of resistance in upper incisors according to the increase of the labial inclination were as follows; 1) In normal inclination situation, the center of resistance was located in 6m behind the distal surface of the lateral incisor bracket. 2) In $10^{\circ}$ increase of the labial inclination situation, the center of resistance was located in 9mm behind the distal surface of the lateral incisor bracket. 3) In $20^{\circ}$ increase of the labial inclination situation, the center of resistance was located in 12m behind the distal surface of the lateral incisor bracket. 4) In $30^{\circ}$ increase of the labial inclination situation, the center of resistance was located in 16m behind the distal surface of the lateral incisor bracket. 2. Positions of the center of resistance in lower incisors according to the increase of the labial inclination were as follows; 1) In normal inclination situation, the center of resistance was located in 10mm behind the distal surface of the lateral incisor bracket. 2) In $10^{\circ}$ increase of the labial inclination situation, the center of resistance was located in 13m behind the distal surface of the lateral incisor bracket. 3) In $20^{\circ}$ increase of the labial inclination situation, the center of resistance was located in 15m behind the distal surface of the lateral incisor bracket. 4) In $30^{\circ}$ increase of the labial inclination situation, the center of resistance was located in 18m behind the distal surface of the lateral incisor bracket. 3. The patterns of stress distribution were as follows; 1) There were even compressive stresses In and periodontal ligament when intrusion force was applied through determined center of resistance. 2) There were gradual increase of complexity in compressive stress distribution pattern with Increase of the labial inclination when intrusion and retraction force were applied simultaneously. 4. With increase of the labial inclination of the upper and lower incisors, the position of the center of resistance moved posteriorly. And the distal force for pure intrusion was increased until $20^{\circ}$increase of the labial inclination.

분절호선법으로 상하악 절치부 압하 시 순측경사도가 미치는 영향에 관한 3차원 유한요소법적 연구

본 연구는 상하악 절치부의 압하를 도모하기 위한 장치의 하나인 분절호선장치를 사용하여 절치부의 순측경사에 따른 저항중심의 위치와 변화양상, 그리고 치축경사 개선과 압하를 동시에 이루기 위해 필요한 최소 후방 견인력의 크기 및 변화양상을 알아보기 위하여 3차원 유한요소법을 이용하여 시행되었으며 다음과 같은 결론을 얻었다. 1. 치축 경사도의 변화에 따른 상악 절치부 저항중심은 1) 정상 치축경사를 가진 경우에서 측절치 브라켓 원심면 후방 6mm에 위치하였다. 2) 순측경사가 $10^{\circ}$ 증가된 경우에서 측절치 브라켓의 원심면 후방 9mm에 위치하였다. 3) 순측경사가 $20^{\circ}$ 증가된 경우에서 측절치 브라켓 원심면 후방 12mm에 위치하였다. 4) 순측경사가 $30^{\circ}$ 증가된 경우에서 측절치 브라켓 원심면 후방 16mm에 위치하였다. 2. 치축 경사도의 변화에 따른 하악 절치부 저항중심은 1) 정상 치축경사를 가진 경우에서 측절치 브라켓 원심면 후방 10mm에 위치하였다. 2) 순측경사가 $10^{\circ}$ 증가된 경우에서 측절치 브라켓 원심면 후방 13mm에 위치하였다. 3) 순측경사가 $20^{\circ}$ 증가된 경우에서 측절치 브라켓 원심면 후방 15mm에 위치하였다. 4) 순측경사가 $30^{\circ}$ 증가된 경우에서 측절치 브라켓 원심면 후방 18mm에 위치하였다. 3. 응력분포 양상은 1) 각 저항중심에서 압하력을 가한 경우에 치주인대에 균일한 압축응력을 나타내었다. 2) 후방 견인력을 동시에 적용한 경우에 순측경사가 증가할수록 응력분포 양상이 복잡해지는 양상을 보였다. 4. 상하악 절치부가 $20^{\circ}$까지 순측경사된 경우에서 Pure intrusion을 위하여 필요한 후방 견인력의 크기도 증가하였다.