García Valentin Javier, López-Cancelos Rubén, Riveiro Antonio, Comesaña Rafael, Ustrell I Torrent Josep Maria, Kasem Khaled, Badaoui Aida, Manzanares-Céspedes Mª Cristina, Carvalho-Lobato Patricia
Orthodontics Unit 5305, Odontostomatology Department, HUBc, University of Barcelona, Planta 2, Pavelló de Govern, C/FeixaLlarga SN, L'Hospitalet de Llobregat, 08907, Barcelona, Spain.
Department of Materials Engineering, Applied Mechanics and Construction, University of Vigo, Lagoas-Marcosende, 36310, Vigo, Spain.
J Orofac Orthop. 2017 Sep;78(5):371-384. doi: 10.1007/s00056-017-0091-3. Epub 2017 Apr 12.
Aim of this study was to develop a finite element model of the forces that patients with rapid maxillary expansion bear and to validate it by a mechanical test.
Computer-aided design models of the metallic screw and polymeric splint were modelled and discretized. Two forces were generated and considered independently: F1 at the temporary molar (2.5 N) and F2 at the permanent molar (2.5 N). The results of the finite element analysis were used to define the strain values which the anterior and posterior arms of the rapid maxillary expansion appliance bore as a linear function of F1-F2 by calculating the strain-force coefficient δ . Two strain gauge rosettes were attached to an appliance which was placed in an XY motorized stage to reproduce the same forces used in the finite element analysis. Once the system was validated, the matrix was inverted to determine forces F1 and F2 that a group of 40 patients underwent (median age 8.33 years, standard deviation 1.86 years) for 75 days, using their strain values. The parents of the patients activated a quarter turn (0.20 mm) twice a day until 50% transversal overcorrection was achieved.
Finite element analysis showed that the effects of the forces on stress at the location of the arms were notably different. There was a satisfactory correlation between finite element analysis predictions and in vitro values. Dissipation of F1 and F2 in patients was predicted to be 62.5 and 80%, respectively, after 75 days of retention.
These results back the finite element analysis model for force prediction.
本研究旨在建立快速上颌扩弓患者所承受力的有限元模型,并通过力学测试对其进行验证。
对金属螺钉和聚合物夹板的计算机辅助设计模型进行建模和离散化。独立产生并考虑两种力:临时磨牙处的F1(2.5 N)和恒牙磨牙处的F2(2.5 N)。有限元分析结果用于通过计算应变力系数δ来定义快速上颌扩弓矫治器前后臂承受的应变值,该应变值是F1 - F2的线性函数。将两个应变片式应变计连接到一个放置在XY电动平台上的矫治器上,以再现有限元分析中使用的相同力。一旦系统得到验证,利用一组40名患者(中位年龄8.33岁,标准差1.86岁)75天的应变值,对矩阵求逆以确定力F1和F2。患者的父母每天激活四分之一圈(0.20 mm),共两次,直到实现50%的横向过度矫正。
有限元分析表明,力对臂部位置应力的影响显著不同。有限元分析预测值与体外值之间存在良好的相关性。预计在保持75天后,患者中F1和F2的消散率分别为62.5%和80%。
这些结果支持了用于力预测的有限元分析模型。