Department of Operative Dentistry, School of Dentistry, Federal Fluminense University, Rio de Janeiro, Brazil.
Comput Methods Programs Biomed. 2011 Nov;104(2):292-9. doi: 10.1016/j.cmpb.2011.03.017. Epub 2011 May 4.
The purpose of this study was to compare the results of different hierarchical models in engineering analysis applied to dentistry with 2D and 3D models of a tooth and its supporting structures under 100 N occlusal loading at 45° and examine the reliability of simplified 2D models in dental research. Five models were built from computed-tomography scans: four 2D models with Plane Strain and Plane Stress State with linear triangular and quadratic quadrilateral elements and one 3D model. The finite element results indicated that the stress distribution was similar qualitatively in all models but the stress magnitude was quite different. It was concluded that 2D models are acceptable when investigating the biomechanical behavior of upper central incisor qualitatively. However, quantitative stress analysis is less reliable in 2D-finite element analysis, because 2D models overestimate the results and do not represent the complex anatomical configuration of dental structures. Therefore 3D finite element analyses of dental biomechanics cannot be simplified.
本研究的目的是比较应用于牙科的工程分析中不同层次模型的结果，这些模型包括在 100N 咬合载荷下以 45°角作用于牙齿及其支持结构的二维和三维模型，并检验简化的二维模型在牙科研究中的可靠性。本研究从计算机断层扫描中构建了五个模型：四个二维模型，具有平面应变和平面应力状态，采用线性三角形和二次四边形元素，以及一个三维模型。有限元结果表明，所有模型中的应力分布在定性上相似，但应力大小却有很大差异。研究结论认为，当定性研究上颌中切牙的生物力学行为时，二维模型是可以接受的。然而，在二维有限元分析中，定量的应力分析可靠性较低，因为二维模型高估了结果，且无法代表牙齿结构的复杂解剖结构。因此，牙齿生物力学的三维有限元分析不能简化。
