Three-dimensional finite element analysis on the effect of maxillary incisor torque

상악 절치부-토크에 의한 치아 이동과 응력 분포에 관한 유한요소법적 연구

  • Yoon, Hyun-Joo (Department of Orthodontics, Graduate School of Clinical Dentistry, Korea University) ;
  • Lim, Yong-Kyu (Department of Orthodontics, Graduate School of Clinical Dentistry, Korea University) ;
  • Lee, Dong-Yul (Department of Orthodontics, Graduate School of Clinical Dentistry, Korea University) ;
  • Jo, Yung-Soo (Department of Mechanical Engineering, Hanyang University)
  • 윤현주 (고려대학교 임상치의학대학원 교정과) ;
  • 임용규 (고려대학교 임상치의학대학원 교정과) ;
  • 이동렬 (고려대학교 임상치의학대학원 교정과) ;
  • 조영수 (한양대학교 기계공학과)
  • Published : 2005.04.01

Abstract

The purpose of this study was to investigate the stress distribution in the periodontal tissue and the displacement of teeth when active torque was applied to the maxillary incisors by three-dimensional finite element analysis A three-dimensional finite element model consisted of the maxillary teeth and surrounding periodontal membrane, $.022{\times}.028$ Roth prescription bracket and stainless steel, NiTi and TMA rectangular ideal arch wires which were modeled by hexahedron elements. Applied active torques were 2, 5 and 10 degrees ThHe findings of this study showed that the reaction force acting or the bracket was the extrusion force on the mesial side of the incisors and canine and the intrusion force on the distal side of the incisors and canine. The amount of force and moment was greatest at the lateral incisor. When active anterior labial crown torque was applied. labial crown and distal tipping and Intrusion of the incisors took place. and lingual crown distal tipping and extrusion of the canine occured. An excessive force was concentrated on the lateral incisor, when the stainless steel wire was used NiTi or TMA wire is desirable for torque control.

본 연구는 상악 절치부에 active 토크가 가해졌을 경우, 교정력을 직접 받은 치아와 인접 치아의 반응을 알아보고자, 상악 치아 및 치조골의 유한요소 모델을 제작하고, stainless steel NiTi, TMA 세 종류의 각형 호선을 육면체 요소로 모델링하여 유한요소 모델을 완성하였다. 호선이 브라켓에 삽입되었을 때 브라켓에 발생하는 반력과 모멘트를 구하였고, 이것을 유한 요소 모델에 적용하여 각 치아의 변위와 응력 분포를 측정하였다 브라켓에 발생하는 반력은 근원심 방향과, 협설 방향으로의 힘은 0에 가까우며, 중절치, 측절치, 견치의 브라켓 근심측에서는 정출력이 원심측에서는 압하력이 발생하였다. 힘과 모멘트의 크기는 측절치에서 최대였고 중절치. 견치 순으로 감소하였고, 소구치 부위와 대구치 부위에서는 급격히 감소하였다. 중절치와 측절치는 치관 협측, 원심 경사 이동과 압하를 보였으며 견치는 치관 설측 원심 경사와 정출을 보였고. 제1소구치는 치관 설측 경사이동을 보였다. $019\times025SS$을 사용하여 상악 절치부에 토크를 부여하는 경우에는 측절치에 과도한 힘이 집중되므로, 임상에서 토크를 조절 할 경우에는 NiTi나 TMA 호선을 사용하는 것이 바람직하리라고 생각된다.

Keywords

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