Hasan Lamiaa A, Al Qassar Sarmad S Salih, Alrawi Mohammad N, Alhajar Emad H
Collage of Dentistry, University of Mosul, Mosul, Iraq.
J Orthod Sci. 2021 Feb 19;10:1. doi: 10.4103/jos.JOS_39_20. eCollection 2021.
To search the effects of Curve of Spee (COS) flatting on the stresses and displacement on the different mandible landmarks and lower teeth during posterior teeth loading using three-dimensional (3D) finite element analysis.
Three-dimensional hemi mandibular model was created from real selected mandible. The lower teeth was aligned originally in a curved form with 2.4 mm depth at the cusp tip of the second premolar. Another replica with flat aligned teeth was formed to confirm the analysis by up righting premolars and molars. A load was applied at mesio-buccal cusp of the lower first molar on both models, and the resultant stresses and displacements on the mandibular landmarks and the lower teeth were tested.
Von mises over the mandible was higher in flat than in curve model. The highest stress levels were detected at the Mesio-buccal cusp tip of first molar for flat and curved simulation (5053, 3304) Mpa respectively. Mesio-distally, the teeth displacement was higher in curve model than in flat one. The maximum distal displacement, in flat model, was seen in central and lateral incisors. While, in curve model, the maximum distal displacement was grasped within first and second premolars.
Flatting the COS magnify the stresses over whole mandible and reduce lower teeth displacement mesio-distally. We speculated that the readjustment of the COS after orthodontic treatment could reduce the stress and displacements on the lower anterior teeth and decrease the lower anterior teeth crowding relapse.
采用三维有限元分析,研究Spee曲线变平对后牙加载时不同下颌骨标志点及下牙应力和位移的影响。
从实际选取的下颌骨创建三维半下颌模型。下牙最初呈曲线排列,第二前磨牙尖处深度为2.4mm。通过直立前磨牙和磨牙形成另一个牙齿排列平坦的模型副本以验证分析。在两个模型的下颌第一磨牙近中颊尖施加载荷,并测试下颌标志点和下牙上产生的应力和位移。
下颌骨上的冯·米塞斯应力在平坦模型中高于曲线模型。平坦和曲线模拟中,第一磨牙近中颊尖处检测到的最高应力水平分别为(5053、3304)MPa。在近远中方向上,曲线模型中的牙齿位移高于平坦模型。在平坦模型中,最大远中位移见于中切牙和侧切牙。而在曲线模型中,最大远中位移出现在第一和第二前磨牙内。
Spee曲线变平会放大整个下颌骨上的应力,并减少下牙在近远中方向上的位移。我们推测正畸治疗后Spee曲线的重新调整可降低下前牙的应力和位移,并减少下前牙拥挤复发。